%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT039+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 02:11:47 PM UTC 2026
% Result : Theorem 19.06s 3.06s
% Output : Proof 19.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 18
% Syntax : Number of formulae : 171 ( 15 unt; 0 def)
% Number of atoms : 565 ( 48 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 613 ( 219 ~; 326 |; 48 &)
% ( 1 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn 102 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [E,S1,S2,T] :
( ( cardinality_at_time(S2,T) = zero
& greater(cardinality_at_time(S1,T),zero)
& subpopulation(S2,E,T)
& subpopulation(S1,E,T)
& environment(E) )
=> selection_favors(S1,S2,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members) ).
fof(f1_nnf,plain,
! [E,S1,S2,T] :
( selection_favors(S1,S2,T)
| cardinality_at_time(S2,T) != zero
| ~ greater(cardinality_at_time(S1,T),zero)
| ~ subpopulation(S2,E,T)
| ~ subpopulation(S1,E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [E,S1,T,S2] :
( selection_favors(S1,S2,T)
| cardinality_at_time(S2,T) != zero
| ~ greater(cardinality_at_time(S1,T),zero)
| ~ subpopulation(S2,E,T)
| ~ subpopulation(S1,E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( selection_favors(X1,X2,X3)
| cardinality_at_time(X2,X3) != zero
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
fof(f2,axiom,
! [P] :
( ( ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> selection_favors(efficient_producers,first_movers,end_time(E)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
fof(f2_nnf,plain,
! [P] :
( selection_favors(efficient_producers,first_movers,P)
| ? [E] :
( ~ selection_favors(efficient_producers,first_movers,end_time(E))
& in_environment(P,E)
& environment(E) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(P) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [P] :
( selection_favors(efficient_producers,first_movers,P)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sk0(P)))
& in_environment(P,sk0(P))
& environment(sk0(P)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(P) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f2_nnf]) ).
cnf(c2,plain,
( selection_favors(efficient_producers,first_movers,X0)
| environment(sk0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f18,conjecture,
! [P] :
( ( slow_change(P)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8) ).
fof(f18_neg,negated_conjecture,
~ ! [P] :
( ( slow_change(P)
& observational_period(P) )
=> selection_favors(efficient_producers,first_movers,P) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f18_nnf,plain,
? [P] :
( ~ selection_favors(efficient_producers,first_movers,P)
& slow_change(P)
& observational_period(P) ),
inference(nnf_transformation,[status(thm)],[f18_neg]) ).
fof(f18_sk,plain,
( ~ selection_favors(efficient_producers,first_movers,sk2)
& slow_change(sk2)
& observational_period(sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk2])],[f18_nnf]) ).
cnf(c25,plain,
observational_period(sk2),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p30,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| environment(sk0(sk2))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c2,c25]) ).
fof(f4,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(f4_nnf,plain,
propagation_strategy(first_movers),
inference(nnf_transformation,[status(thm)],[f4]) ).
cnf(c7,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(esa)],[f4_nnf]) ).
cnf(p31,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| environment(sk0(sk2))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p30,c7]) ).
fof(f5,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2) ).
fof(f5_nnf,plain,
propagation_strategy(efficient_producers),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c8,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p32,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| environment(sk0(sk2)) ),
inference(resolution,[status(thm)],[p31,c8]) ).
cnf(c27,plain,
~ selection_favors(efficient_producers,first_movers,sk2),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p33,plain,
environment(sk0(sk2)),
inference(resolution,[status(thm)],[p32,c27]) ).
cnf(p255,plain,
( selection_favors(X0,X2,X1)
| cardinality_at_time(X2,X1) != zero
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X2,sk0(sk2),X1)
| ~ subpopulation(X0,sk0(sk2),X1) ),
inference(resolution,[status(thm)],[c1,p33]) ).
fof(f3,axiom,
! [P] :
( ( slow_change(P)
& observational_period(P) )
=> ! [E] :
( ( in_environment(P,E)
& environment(E) )
=> ? [T] :
( greater(T,critical_point(E))
& in_environment(E,T) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point) ).
fof(f3_nnf,plain,
! [P] :
( ! [E] :
( ? [T] :
( greater(T,critical_point(E))
& in_environment(E,T) )
| ~ in_environment(P,E)
| ~ environment(E) )
| ~ slow_change(P)
| ~ observational_period(P) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [P,E] :
( ( greater(sk1(P,E),critical_point(E))
& in_environment(E,sk1(P,E)) )
| ~ in_environment(P,E)
| ~ environment(E)
| ~ slow_change(P)
| ~ observational_period(P) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk1])],[f3_nnf]) ).
cnf(c6,plain,
( greater(sk1(X0,X1),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p85,plain,
( greater(sk1(sk2,X0),critical_point(X0))
| ~ in_environment(sk2,X0)
| ~ environment(X0)
| ~ slow_change(sk2) ),
inference(resolution,[status(thm)],[c6,c25]) ).
cnf(c26,plain,
slow_change(sk2),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p86,plain,
( greater(sk1(sk2,X0),critical_point(X0))
| ~ in_environment(sk2,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p85,c26]) ).
cnf(p87,plain,
( greater(sk1(sk2,sk0(sk2)),critical_point(sk0(sk2)))
| ~ in_environment(sk2,sk0(sk2)) ),
inference(resolution,[status(thm)],[p86,p33]) ).
cnf(c3,plain,
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p57,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| in_environment(sk2,sk0(sk2))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c3,c25]) ).
cnf(p58,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| in_environment(sk2,sk0(sk2))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p57,c7]) ).
cnf(p59,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| in_environment(sk2,sk0(sk2)) ),
inference(resolution,[status(thm)],[p58,c8]) ).
cnf(p88,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| greater(sk1(sk2,sk0(sk2)),critical_point(sk0(sk2))) ),
inference(resolution,[status(thm)],[p87,p59]) ).
cnf(c5,plain,
( in_environment(X1,sk1(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p60,plain,
( in_environment(X0,sk1(sk2,X0))
| ~ in_environment(sk2,X0)
| ~ environment(X0)
| ~ slow_change(sk2) ),
inference(resolution,[status(thm)],[c5,c25]) ).
cnf(p61,plain,
( in_environment(X0,sk1(sk2,X0))
| ~ in_environment(sk2,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p60,c26]) ).
cnf(p62,plain,
( in_environment(sk0(sk2),sk1(sk2,sk0(sk2)))
| ~ in_environment(sk2,sk0(sk2)) ),
inference(resolution,[status(thm)],[p61,p33]) ).
cnf(p63,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| in_environment(sk0(sk2),sk1(sk2,sk0(sk2))) ),
inference(resolution,[status(thm)],[p62,p59]) ).
fof(f7,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> greater_or_equal(end_time(E),T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point) ).
fof(f7_nnf,plain,
! [E,T] :
( greater_or_equal(end_time(E),T)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [E,T] :
( greater_or_equal(end_time(E),T)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c10,plain,
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p36,plain,
( greater_or_equal(end_time(sk0(sk2)),X0)
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[p33,c10]) ).
cnf(p64,plain,
( greater_or_equal(end_time(sk0(sk2)),sk1(sk2,sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p63,p36]) ).
fof(f15,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f15_nnf,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X,Y] :
( ( ( X != Y
& ~ greater(X,Y) )
| greater_or_equal(X,Y) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c19,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p68,plain,
( end_time(sk0(sk2)) = sk1(sk2,sk0(sk2))
| greater(end_time(sk0(sk2)),sk1(sk2,sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p64,c19]) ).
fof(f13,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f13_nnf,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c17,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p70,plain,
( greater(end_time(sk0(sk2)),X0)
| ~ greater(sk1(sk2,sk0(sk2)),X0)
| end_time(sk0(sk2)) = sk1(sk2,sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p68,c17]) ).
cnf(p91,plain,
( greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| end_time(sk0(sk2)) = sk1(sk2,sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p88,p70]) ).
cnf(p106,plain,
( greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| end_time(sk0(sk2)) = sk1(sk2,sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p91]) ).
cnf(p114,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(superposition,[status(thm)],[p106,p88]) ).
cnf(p137,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p114]) ).
cnf(p138,plain,
( greater(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p137]) ).
cnf(p140,plain,
( greater(end_time(sk0(sk2)),X0)
| ~ greater(critical_point(sk0(sk2)),X0)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p138,c17]) ).
fof(f12,axiom,
! [E] :
( environment(E)
=> greater_or_equal(critical_point(E),start_time(E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(f12_nnf,plain,
! [E] :
( greater_or_equal(critical_point(E),start_time(E))
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [E] :
( greater_or_equal(critical_point(E),start_time(E))
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c16,plain,
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p34,plain,
greater_or_equal(critical_point(sk0(sk2)),start_time(sk0(sk2))),
inference(resolution,[status(thm)],[p33,c16]) ).
cnf(p43,plain,
( critical_point(sk0(sk2)) = start_time(sk0(sk2))
| greater(critical_point(sk0(sk2)),start_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p34,c19]) ).
cnf(p148,plain,
( critical_point(sk0(sk2)) = start_time(sk0(sk2))
| greater(end_time(sk0(sk2)),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p140,p43]) ).
cnf(c20,plain,
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p151,plain,
( greater_or_equal(end_time(sk0(sk2)),start_time(sk0(sk2)))
| critical_point(sk0(sk2)) = start_time(sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p148,c20]) ).
fof(f6,axiom,
! [E,T] :
( ( greater_or_equal(end_time(E),T)
& greater_or_equal(T,start_time(E))
& environment(E) )
=> in_environment(E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment) ).
fof(f6_nnf,plain,
! [E,T] :
( in_environment(E,T)
| ~ greater_or_equal(end_time(E),T)
| ~ greater_or_equal(T,start_time(E))
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [E,T] :
( in_environment(E,T)
| ~ greater_or_equal(end_time(E),T)
| ~ greater_or_equal(T,start_time(E))
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c9,plain,
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p42,plain,
( in_environment(sk0(sk2),X0)
| ~ greater_or_equal(end_time(sk0(sk2)),X0)
| ~ greater_or_equal(X0,start_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p33,c9]) ).
cnf(c21,plain,
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p28,plain,
greater_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(p46,plain,
( in_environment(sk0(sk2),start_time(sk0(sk2)))
| ~ greater_or_equal(end_time(sk0(sk2)),start_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p42,p28]) ).
cnf(p154,plain,
( in_environment(sk0(sk2),start_time(sk0(sk2)))
| critical_point(sk0(sk2)) = start_time(sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p151,p46]) ).
cnf(p156,plain,
( in_environment(sk0(sk2),start_time(sk0(sk2)))
| ~ greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| in_environment(sk0(sk2),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(superposition,[status(thm)],[p154,p46]) ).
cnf(p163,plain,
( ~ greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| in_environment(sk0(sk2),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p156]) ).
cnf(p139,plain,
( greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p138,c20]) ).
cnf(p164,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| in_environment(sk0(sk2),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p163,p139]) ).
cnf(p165,plain,
( in_environment(sk0(sk2),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p164]) ).
cnf(p166,plain,
( greater_or_equal(end_time(sk0(sk2)),start_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p165,p36]) ).
cnf(p172,plain,
( in_environment(sk0(sk2),end_time(sk0(sk2)))
| ~ greater_or_equal(end_time(sk0(sk2)),end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p166,p42]) ).
cnf(p174,plain,
( in_environment(sk0(sk2),end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p172,p28]) ).
fof(f10,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f10_nnf,plain,
! [E,T] :
( ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) )
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [E,T] :
( ( subpopulation(efficient_producers,E,T)
& subpopulation(first_movers,E,T) )
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c14,plain,
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p38,plain,
( subpopulation(efficient_producers,sk0(sk2),X0)
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[p33,c14]) ).
cnf(p176,plain,
( subpopulation(efficient_producers,sk0(sk2),end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p174,p38]) ).
cnf(p264,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,X0,end_time(sk0(sk2)))
| cardinality_at_time(X0,end_time(sk0(sk2))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| ~ subpopulation(X0,sk0(sk2),end_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p255,p176]) ).
cnf(c13,plain,
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p37,plain,
( subpopulation(first_movers,sk0(sk2),X0)
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[p33,c13]) ).
cnf(p175,plain,
( subpopulation(first_movers,sk0(sk2),end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p174,p37]) ).
cnf(p299,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero) ),
inference(resolution,[status(thm)],[p264,p175]) ).
cnf(p300,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero) ),
inference(factoring,[status(thm)],[p299]) ).
fof(f17,hypothesis,
! [E,T] :
( ( greater_or_equal(T,appear(efficient_producers,E))
& in_environment(E,T)
& environment(E) )
=> greater(cardinality_at_time(efficient_producers,T),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).
fof(f17_nnf,plain,
! [E,T] :
( greater(cardinality_at_time(efficient_producers,T),zero)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [E,T] :
( greater(cardinality_at_time(efficient_producers,T),zero)
| ~ greater_or_equal(T,appear(efficient_producers,E))
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c24,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p83,plain,
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,appear(efficient_producers,sk0(sk2)))
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[c24,p33]) ).
cnf(p178,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| ~ greater_or_equal(end_time(sk0(sk2)),appear(efficient_producers,sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p174,p83]) ).
fof(f11,axiom,
! [E] :
( environment(E)
=> greater_or_equal(critical_point(E),appear(efficient_producers,E)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP) ).
fof(f11_nnf,plain,
! [E] :
( greater_or_equal(critical_point(E),appear(efficient_producers,E))
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [E] :
( greater_or_equal(critical_point(E),appear(efficient_producers,E))
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c15,plain,
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p35,plain,
greater_or_equal(critical_point(sk0(sk2)),appear(efficient_producers,sk0(sk2))),
inference(resolution,[status(thm)],[p33,c15]) ).
cnf(p44,plain,
( critical_point(sk0(sk2)) = appear(efficient_producers,sk0(sk2))
| greater(critical_point(sk0(sk2)),appear(efficient_producers,sk0(sk2))) ),
inference(resolution,[status(thm)],[p35,c19]) ).
cnf(p149,plain,
( critical_point(sk0(sk2)) = appear(efficient_producers,sk0(sk2))
| greater(end_time(sk0(sk2)),appear(efficient_producers,sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p140,p44]) ).
cnf(p161,plain,
( greater_or_equal(end_time(sk0(sk2)),appear(efficient_producers,sk0(sk2)))
| critical_point(sk0(sk2)) = appear(efficient_producers,sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p149,c20]) ).
cnf(p183,plain,
( critical_point(sk0(sk2)) = appear(efficient_producers,sk0(sk2))
| selection_favors(efficient_producers,first_movers,sk2)
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p178,p161]) ).
cnf(p184,plain,
( critical_point(sk0(sk2)) = appear(efficient_producers,sk0(sk2))
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p183]) ).
cnf(p187,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| ~ greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2)
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(superposition,[status(thm)],[p184,p178]) ).
cnf(p193,plain,
( ~ greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2)
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p187]) ).
cnf(p194,plain,
( ~ greater_or_equal(end_time(sk0(sk2)),critical_point(sk0(sk2)))
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p193]) ).
cnf(p196,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p194,p139]) ).
cnf(p197,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p196]) ).
cnf(p301,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) != zero ),
inference(resolution,[status(thm)],[p300,p197]) ).
cnf(p302,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) != zero ),
inference(factoring,[status(thm)],[p301]) ).
fof(f16,hypothesis,
! [E,Tc] :
( ( Tc = critical_point(E)
& environment(E) )
=> ( ! [T] :
( ( greater(T,Tc)
& subpopulations(first_movers,efficient_producers,E,T) )
=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) )
& ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f16_nnf,plain,
! [E,Tc] :
( ( ! [T] :
( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) )
| Tc != critical_point(E)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [E,Tc,T] :
( ( ( greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))
| ~ greater(T,Tc)
| ~ subpopulations(first_movers,efficient_producers,E,T) )
& ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc)) )
| Tc != critical_point(E)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c23,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| X1 != critical_point(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p226,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk0(sk2),X1)
| X0 != critical_point(sk0(sk2)) ),
inference(resolution,[status(thm)],[c23,p33]) ).
cnf(p227,plain,
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(X0,critical_point(sk0(sk2)))
| ~ subpopulations(first_movers,efficient_producers,sk0(sk2),X0) ),
inference(equality_resolution,[status(thm)],[p226]) ).
fof(f8,axiom,
! [E,T] :
( ( greater(cardinality_at_time(efficient_producers,T),zero)
& greater(cardinality_at_time(first_movers,T),zero)
& in_environment(E,T)
& environment(E) )
=> subpopulations(first_movers,efficient_producers,E,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).
fof(f8_nnf,plain,
! [E,T] :
( subpopulations(first_movers,efficient_producers,E,T)
| ~ greater(cardinality_at_time(efficient_producers,T),zero)
| ~ greater(cardinality_at_time(first_movers,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [E,T] :
( subpopulations(first_movers,efficient_producers,E,T)
| ~ greater(cardinality_at_time(efficient_producers,T),zero)
| ~ greater(cardinality_at_time(first_movers,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c11,plain,
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p204,plain,
( subpopulations(first_movers,efficient_producers,sk0(sk2),X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[c11,p33]) ).
cnf(p208,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| subpopulations(first_movers,efficient_producers,sk0(sk2),end_time(sk0(sk2)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero)
| ~ greater(cardinality_at_time(first_movers,end_time(sk0(sk2))),zero) ),
inference(resolution,[status(thm)],[p204,p174]) ).
fof(f9,axiom,
! [E,T] :
( ( in_environment(E,T)
& environment(E) )
=> greater_or_equal(cardinality_at_time(first_movers,T),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist) ).
fof(f9_nnf,plain,
! [E,T] :
( greater_or_equal(cardinality_at_time(first_movers,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [E,T] :
( greater_or_equal(cardinality_at_time(first_movers,T),zero)
| ~ in_environment(E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c12,plain,
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p39,plain,
( greater_or_equal(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sk0(sk2),X0) ),
inference(resolution,[status(thm)],[p33,c12]) ).
cnf(p177,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p174,p39]) ).
cnf(p179,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk0(sk2))),zero)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p177,c19]) ).
cnf(p211,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| subpopulations(first_movers,efficient_producers,sk0(sk2),end_time(sk0(sk2)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero) ),
inference(resolution,[status(thm)],[p208,p179]) ).
cnf(p217,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| subpopulations(first_movers,efficient_producers,sk0(sk2),end_time(sk0(sk2)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk0(sk2))),zero) ),
inference(factoring,[status(thm)],[p211]) ).
cnf(p218,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| subpopulations(first_movers,efficient_producers,sk0(sk2),end_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p217,p197]) ).
cnf(p219,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| subpopulations(first_movers,efficient_producers,sk0(sk2),end_time(sk0(sk2))) ),
inference(factoring,[status(thm)],[p218]) ).
cnf(p229,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| greater(growth_rate(efficient_producers,end_time(sk0(sk2))),growth_rate(first_movers,end_time(sk0(sk2))))
| ~ greater(end_time(sk0(sk2)),critical_point(sk0(sk2))) ),
inference(resolution,[status(thm)],[p227,p219]) ).
cnf(p231,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| greater(growth_rate(efficient_producers,end_time(sk0(sk2))),growth_rate(first_movers,end_time(sk0(sk2)))) ),
inference(resolution,[status(thm)],[p229,p138]) ).
cnf(p232,plain,
( cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| greater(growth_rate(efficient_producers,end_time(sk0(sk2))),growth_rate(first_movers,end_time(sk0(sk2)))) ),
inference(factoring,[status(thm)],[p231]) ).
fof(f0,axiom,
! [E,S1,S2,T] :
( ( greater(growth_rate(S2,T),growth_rate(S1,T))
& subpopulations(S1,S2,E,T)
& environment(E) )
=> selection_favors(S2,S1,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
fof(f0_nnf,plain,
! [E,S1,S2,T] :
( selection_favors(S2,S1,T)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [E,S1,S2,T] :
( selection_favors(S2,S1,T)
| ~ greater(growth_rate(S2,T),growth_rate(S1,T))
| ~ subpopulations(S1,S2,E,T)
| ~ environment(E) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p203,plain,
( selection_favors(X1,X0,X2)
| ~ greater(growth_rate(X1,X2),growth_rate(X0,X2))
| ~ subpopulations(X0,X1,sk0(sk2),X2) ),
inference(resolution,[status(thm)],[c0,p33]) ).
cnf(p220,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| ~ greater(growth_rate(efficient_producers,end_time(sk0(sk2))),growth_rate(first_movers,end_time(sk0(sk2))))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p219,p203]) ).
cnf(p235,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2)
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p232,p220]) ).
cnf(p237,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2)
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p235]) ).
cnf(p238,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| cardinality_at_time(first_movers,end_time(sk0(sk2))) = zero
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(factoring,[status(thm)],[p237]) ).
cnf(p303,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p302,p238]) ).
cnf(p304,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2))) ),
inference(factoring,[status(thm)],[p303]) ).
cnf(p306,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,end_time(sk0(sk2))) ),
inference(factoring,[status(thm)],[p304]) ).
cnf(c4,plain,
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk0(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p200,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c4,c25]) ).
cnf(p201,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk0(sk2)))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p200,c7]) ).
cnf(p202,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk0(sk2))) ),
inference(resolution,[status(thm)],[p201,c8]) ).
cnf(p307,plain,
( selection_favors(efficient_producers,first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2) ),
inference(resolution,[status(thm)],[p306,p202]) ).
cnf(p308,plain,
selection_favors(efficient_producers,first_movers,sk2),
inference(factoring,[status(thm)],[p307]) ).
cnf(p309,plain,
$false,
inference(resolution,[status(thm)],[p308,c27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 01:07:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 19.06/3.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.06/3.06 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------