%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT039-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 22.08s 3.65s
% Output : Proof 22.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 18
% Syntax : Number of formulae : 119 ( 21 unt; 0 def)
% Number of atoms : 342 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 391 ( 168 ~; 223 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f11,axiom,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f11_nnf,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B] :
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f8,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_28) ).
fof(f8_nnf,plain,
! [A,B] :
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A,B] :
( greater_or_equal(end_time(A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(f6,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
fof(f6_nnf,plain,
propagation_strategy(efficient_producers),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(f0,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_20) ).
fof(f0_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)],[f0]) ).
fof(f0_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)],[f0_nnf]) ).
cnf(c0,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)],[f0_sk]) ).
cnf(f16,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_36) ).
fof(f16_nnf,plain,
observational_period(sk3),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
observational_period(sk3),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(p19,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers) ),
inference(resolution,[status(thm)],[c0,c16]) ).
cnf(f5,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
fof(f5_nnf,plain,
propagation_strategy(first_movers),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p20,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p19,c5]) ).
cnf(p21,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3)) ),
inference(resolution,[status(thm)],[c6,p20]) ).
cnf(f18,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_38) ).
fof(f18_nnf,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
~ selection_favors(efficient_producers,first_movers,sk3),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(p22,plain,
environment(sk1(sk3)),
inference(resolution,[status(thm)],[p21,c18]) ).
cnf(p41,plain,
( greater_or_equal(end_time(sk1(sk3)),X0)
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c8,p22]) ).
cnf(f3,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_23) ).
fof(f3_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)],[f3]) ).
fof(f3_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)],[f3_nnf]) ).
cnf(c3,plain,
( in_environment(X1,sk2(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p29,plain,
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0)
| ~ slow_change(sk3) ),
inference(resolution,[status(thm)],[c3,c16]) ).
cnf(f17,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_37) ).
fof(f17_nnf,plain,
slow_change(sk3),
inference(nnf_transformation,[status(thm)],[f17]) ).
cnf(c17,plain,
slow_change(sk3),
inference(cnf_transformation,[status(esa)],[f17_nnf]) ).
cnf(p30,plain,
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p29,c17]) ).
cnf(p31,plain,
( in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p30,p22]) ).
cnf(f1,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_21) ).
fof(f1_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)],[f1]) ).
fof(f1_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)],[f1_nnf]) ).
cnf(c1,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)],[f1_sk]) ).
cnf(p23,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)],[c1,c16]) ).
cnf(p24,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3))
| ~ propagation_strategy(efficient_producers) ),
inference(resolution,[status(thm)],[p23,c5]) ).
cnf(p25,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p24,c6]) ).
cnf(p32,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[p31,p25]) ).
cnf(p42,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolution,[status(thm)],[p41,p32]) ).
cnf(p46,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)],[c11,p42]) ).
cnf(f10,axiom,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
fof(f10_nnf,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A,B,C] :
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(p58,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)],[p46,c10]) ).
cnf(f4,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_24) ).
fof(f4_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)],[f4]) ).
fof(f4_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)],[f4_nnf]) ).
cnf(c4,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)],[f4_sk]) ).
cnf(p33,plain,
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ~ environment(X0)
| ~ slow_change(sk3) ),
inference(resolution,[status(thm)],[c4,c16]) ).
cnf(p34,plain,
( greater(sk2(X0,sk3),critical_point(X0))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[p33,c17]) ).
cnf(p35,plain,
( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ in_environment(sk3,sk1(sk3)) ),
inference(resolution,[status(thm)],[p34,p22]) ).
cnf(p36,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(resolution,[status(thm)],[p35,p25]) ).
cnf(p64,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)],[p58,p36]) ).
cnf(p67,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)],[p64]) ).
cnf(p69,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)],[p67,p36]) ).
cnf(p97,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)],[p69]) ).
cnf(p98,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p97]) ).
cnf(p103,plain,
( greater(end_time(sk1(sk3)),X0)
| ~ greater(critical_point(sk1(sk3)),X0)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p98,c10]) ).
cnf(f9,axiom,
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
fof(f9_nnf,plain,
! [A] :
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A] :
( greater_or_equal(critical_point(A),start_time(A))
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p43,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference(resolution,[status(thm)],[c9,p22]) ).
cnf(p47,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[c11,p43]) ).
cnf(p107,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)],[p103,p47]) ).
cnf(f12,axiom,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f12_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p108,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)],[p107,c12]) ).
cnf(f13,axiom,
( greater_or_equal(A,B)
| A != B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
fof(f13_nnf,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B] :
( greater_or_equal(A,B)
| A != B ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p39,plain,
greater_or_equal(X0,X0),
inference(equality_resolution,[status(thm)],[c13]) ).
cnf(f7,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_27) ).
fof(f7_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)],[f7]) ).
fof(f7_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)],[f7_nnf]) ).
cnf(c7,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)],[f7_sk]) ).
cnf(p38,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)],[c7,p22]) ).
cnf(p40,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[p39,p38]) ).
cnf(p111,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)],[p108,p40]) ).
cnf(p113,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)],[p111,p40]) ).
cnf(p115,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)],[p113]) ).
cnf(p102,plain,
( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p98,c12]) ).
cnf(p116,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)],[p115,p102]) ).
cnf(p117,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p116]) ).
cnf(p119,plain,
( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p117,p41]) ).
cnf(p121,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)],[p119,p38]) ).
cnf(p126,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p121,p39]) ).
cnf(f15,hypothesis,
( selection_favors(efficient_producers,first_movers,B)
| ~ greater(B,critical_point(A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l8_35) ).
fof(f15_nnf,plain,
! [A,B] :
( selection_favors(efficient_producers,first_movers,B)
| ~ greater(B,critical_point(A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [A,B] :
( selection_favors(efficient_producers,first_movers,B)
| ~ greater(B,critical_point(A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p54,plain,
( selection_favors(efficient_producers,first_movers,X0)
| ~ greater(X0,critical_point(sk1(sk3)))
| ~ in_environment(sk1(sk3),X0) ),
inference(resolution,[status(thm)],[c15,p22]) ).
cnf(p127,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p126,p54]) ).
cnf(p128,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(resolution,[status(thm)],[p127,p98]) ).
cnf(p129,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(factoring,[status(thm)],[p128]) ).
cnf(f2,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_22) ).
fof(f2_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)],[f2]) ).
fof(f2_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)],[f2_nnf]) ).
cnf(c2,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)],[f2_sk]) ).
cnf(p26,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)],[c2,c16]) ).
cnf(p27,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)],[p26,c5]) ).
cnf(p28,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolution,[status(thm)],[p27,c6]) ).
cnf(p130,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolution,[status(thm)],[p129,p28]) ).
cnf(p132,plain,
selection_favors(efficient_producers,first_movers,sk3),
inference(factoring,[status(thm)],[p130]) ).
cnf(p133,plain,
$false,
inference(resolution,[status(thm)],[p132,c18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-1 : 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 : n011.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 01:09:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 22.08/3.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.08/3.65 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------