%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 : Unsatisfiable 18.85s 3.64s
% Output : Proof 18.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 26
% Syntax : Number of formulae : 192 ( 22 unt; 0 def)
% Number of atoms : 605 ( 49 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 708 ( 295 ~; 413 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 196 ( 0 sgn 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f19,axiom,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
fof(f19_nnf,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(f5,axiom,
( in_environment(B,sk2(B,A))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_38) ).
fof(f5_nnf,plain,
! [A,B] :
( in_environment(B,sk2(B,A))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A,B] :
( in_environment(B,sk2(B,A))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( in_environment(X1,sk2(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f25,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_58) ).
fof(f25_nnf,plain,
observational_period(sk3),
inference(nnf_transformation,[status(thm)],[f25]) ).
cnf(c25,plain,
observational_period(sk3),
inference(cnf_transformation,[status(esa)],[f25_nnf]) ).
cnf(p45,plain,
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0)
| ~ slow_change(sk3) ),
inference(resolution,[status(thm)],[c5,c25]) ).
cnf(f26,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_59) ).
fof(f26_nnf,plain,
slow_change(sk3),
inference(nnf_transformation,[status(thm)],[f26]) ).
cnf(c26,plain,
slow_change(sk3),
inference(cnf_transformation,[status(esa)],[f26_nnf]) ).
cnf(p47,plain,
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p45,c26]) ).
cnf(f2,axiom,
( selection_favors(efficient_producers,first_movers,A)
| environment(sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
fof(f2_nnf,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| environment(sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| environment(sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c2,c25]) ).
cnf(f7,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
fof(f7_nnf,plain,
propagation_strategy(first_movers),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p31,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p30,c7]) ).
cnf(f8,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
fof(f8_nnf,plain,
propagation_strategy(efficient_producers),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p32,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[p31,c8]) ).
cnf(f27,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_60) ).
fof(f27_nnf,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p33,plain,
environment(sk1(sk3)),
inference(resolution,[status(thm)],[p32,c27]) ).
cnf(p48,plain,
( in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p47,p33]) ).
cnf(f3,axiom,
( selection_favors(efficient_producers,first_movers,A)
| in_environment(A,sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
fof(f3_nnf,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| in_environment(A,sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| in_environment(A,sk1(A))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p40,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c3,c25]) ).
cnf(p42,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p40,c7]) ).
cnf(p43,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p42,c8]) ).
cnf(p50,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[p48,p43]) ).
cnf(f10,axiom,
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
fof(f10_nnf,plain,
! [A,B] :
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A,B] :
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p38,plain,
( greater_or_equal(end_time(sk1(sk3)),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[p33,c10]) ).
cnf(p51,plain,
( greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p50,p38]) ).
cnf(p77,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[c19,p51]) ).
cnf(f17,axiom,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
fof(f17_nnf,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(p91,plain,
( greater(end_time(sk1(sk3)),X0)
| ~ greater(sk2(sk1(sk3),sk3),X0)
| selection_favors(efficient_producers,first_movers,sk3)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[p77,c17]) ).
cnf(f6,axiom,
( greater(sk2(B,A),critical_point(B))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_39) ).
fof(f6_nnf,plain,
! [A,B] :
( greater(sk2(B,A),critical_point(B))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A,B] :
( greater(sk2(B,A),critical_point(B))
| ~ in_environment(A,B)
| ~ environment(B)
| ~ slow_change(A)
| ~ observational_period(A) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( greater(sk2(X1,X0),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p49,plain,
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ~ environment(X0)
| ~ slow_change(sk3) ),
inference(resolution,[status(thm)],[c6,c25]) ).
cnf(p54,plain,
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p49,c26]) ).
cnf(p55,plain,
( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p54,p33]) ).
cnf(p56,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[p55,p43]) ).
cnf(p107,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[status(thm)],[p91,p56]) ).
cnf(p111,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(factoring,[status(thm)],[p107]) ).
cnf(p114,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(superposition,[status(thm)],[p111,p56]) ).
cnf(p152,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p114]) ).
cnf(p154,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p152]) ).
cnf(p156,plain,
( greater(end_time(sk1(sk3)),X0)
| ~ greater(critical_point(sk1(sk3)),X0)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p154,c17]) ).
cnf(f16,axiom,
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
fof(f16_nnf,plain,
! [A] :
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [A] :
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(p36,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference(resolution,[status(thm)],[p33,c16]) ).
cnf(p75,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[c19,p36]) ).
cnf(p171,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p156,p75]) ).
cnf(f20,axiom,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
fof(f20_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p174,plain,
( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p171,c20]) ).
cnf(f9,axiom,
( in_environment(A,B)
| ~ greater_or_equal(end_time(A),B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment_42) ).
fof(f9_nnf,plain,
! [A,B] :
( in_environment(A,B)
| ~ greater_or_equal(end_time(A),B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A,B] :
( in_environment(A,B)
| ~ greater_or_equal(end_time(A),B)
| ~ greater_or_equal(B,start_time(A))
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f9_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)],[f9_sk]) ).
cnf(p53,plain,
( in_environment(sk1(sk3),X0)
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[c9,p33]) ).
cnf(f21,axiom,
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
fof(f21_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p28,plain,
greater_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(p59,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[p53,p28]) ).
cnf(p177,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p174,p59]) ).
cnf(p179,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| in_environment(sk1(sk3),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(superposition,[status(thm)],[p177,p59]) ).
cnf(p192,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| in_environment(sk1(sk3),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p179]) ).
cnf(p155,plain,
( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p154,c20]) ).
cnf(p193,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk1(sk3),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p192,p155]) ).
cnf(p194,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p193]) ).
cnf(p195,plain,
( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p194,p38]) ).
cnf(p201,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p195,p53]) ).
cnf(p209,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p201,p28]) ).
cnf(f11,axiom,
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
fof(f11_nnf,plain,
! [A,B] :
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B] :
( subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f11_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)],[f11_sk]) ).
cnf(p58,plain,
( subpopulations(first_movers,efficient_producers,sk1(sk3),X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c11,p33]) ).
cnf(p212,plain,
( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p209,p58]) ).
cnf(f12,axiom,
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
fof(f12_nnf,plain,
! [A,B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B] :
( greater_or_equal(cardinality_at_time(first_movers,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f12_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)],[f12_sk]) ).
cnf(p61,plain,
( greater_or_equal(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c12,p33]) ).
cnf(p211,plain,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p209,p61]) ).
cnf(p217,plain,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p211,c19]) ).
cnf(p234,plain,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3)
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p212,p217]) ).
cnf(p284,plain,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p234]) ).
cnf(f24,hypothesis,
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_57) ).
fof(f24_nnf,plain,
! [A,B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [A,B] :
( greater(cardinality_at_time(efficient_producers,B),zero)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f24_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)],[f24_sk]) ).
cnf(p100,plain,
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c24,p33]) ).
cnf(p214,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p209,p100]) ).
cnf(f15,axiom,
( greater_or_equal(critical_point(A),appear(efficient_producers,A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
fof(f15_nnf,plain,
! [A] :
( greater_or_equal(critical_point(A),appear(efficient_producers,A))
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A] :
( greater_or_equal(critical_point(A),appear(efficient_producers,A))
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p37,plain,
greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))),
inference(resolution,[status(thm)],[p33,c15]) ).
cnf(p76,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
inference(resolution,[status(thm)],[c19,p37]) ).
cnf(p172,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p156,p76]) ).
cnf(p186,plain,
( greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p172,c20]) ).
cnf(p223,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3)
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p214,p186]) ).
cnf(p225,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p223]) ).
cnf(p228,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(superposition,[status(thm)],[p225,p214]) ).
cnf(p271,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p228]) ).
cnf(p272,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p271]) ).
cnf(p274,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p272,p155]) ).
cnf(p275,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p274]) ).
cnf(p285,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p284,p275]) ).
cnf(p286,plain,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p285]) ).
cnf(f23,hypothesis,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_56) ).
fof(f23_nnf,plain,
! [A,B,C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [A,B,C] :
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| B != critical_point(A)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f23_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)],[f23_sk]) ).
cnf(p90,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1(sk3),X1)
| X0 != critical_point(sk1(sk3)) ),
inference(resolution,[status(thm)],[c23,p33]) ).
cnf(p105,plain,
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(X0,critical_point(sk1(sk3)))
| ~ subpopulations(first_movers,efficient_producers,sk1(sk3),X0) ),
inference(equality_resolution,[status(thm)],[p90]) ).
cnf(p288,plain,
( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p286,p105]) ).
cnf(p289,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p288,p154]) ).
cnf(p290,plain,
( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p289]) ).
cnf(f0,axiom,
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
fof(f0_nnf,plain,
! [A,B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B,C,D] :
( selection_favors(C,B,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
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(p34,plain,
( selection_favors(X1,X0,X2)
| ~ greater(growth_rate(X1,X2),growth_rate(X0,X2))
| ~ subpopulations(X0,X1,sk1(sk3),X2) ),
inference(resolution,[status(thm)],[p33,c0]) ).
cnf(p287,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p286,p34]) ).
cnf(p293,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p290,p287]) ).
cnf(p296,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p293]) ).
cnf(p297,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p296]) ).
cnf(f14,axiom,
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_47) ).
fof(f14_nnf,plain,
! [A,B] :
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B] :
( subpopulation(efficient_producers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p64,plain,
( subpopulation(efficient_producers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c14,p33]) ).
cnf(p213,plain,
( subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p209,p64]) ).
cnf(f1,axiom,
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members_34) ).
fof(f1_nnf,plain,
! [A,B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A,B,C,D] :
( selection_favors(B,D,C)
| cardinality_at_time(D,C) != zero
| ~ greater(cardinality_at_time(B,C),zero)
| ~ subpopulation(D,A,C)
| ~ subpopulation(B,A,C)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( selection_favors(X1,X3,X2)
| cardinality_at_time(X3,X2) != zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p35,plain,
( selection_favors(X0,X2,X1)
| cardinality_at_time(X2,X1) != zero
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X2,sk1(sk3),X1)
| ~ subpopulation(X0,sk1(sk3),X1) ),
inference(resolution,[status(thm)],[p33,c1]) ).
cnf(p218,plain,
( selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
| cardinality_at_time(X0,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p213,p35]) ).
cnf(f13,axiom,
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_46) ).
fof(f13_nnf,plain,
! [A,B] :
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B] :
( subpopulation(first_movers,A,B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p39,plain,
( subpopulation(first_movers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[p33,c13]) ).
cnf(p210,plain,
( subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p209,p39]) ).
cnf(p259,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p218,p210]) ).
cnf(p260,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p259]) ).
cnf(p280,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p275,p260]) ).
cnf(p283,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p280]) ).
cnf(p301,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p297,p283]) ).
cnf(p303,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p301]) ).
cnf(p304,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p303]) ).
cnf(f4,axiom,
( selection_favors(efficient_producers,first_movers,A)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
fof(f4_nnf,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [A] :
( selection_favors(efficient_producers,first_movers,A)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(A) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p41,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c4,c25]) ).
cnf(p44,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p41,c7]) ).
cnf(p46,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[p44,c8]) ).
cnf(p305,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p304,p46]) ).
cnf(p308,plain,
selection_favors(efficient_producers,first_movers,sk3),
inference(factoring,[status(thm)],[p305]) ).
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 v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 01:10:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.85/3.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.85/3.64 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------