TSTP Solution File: MGT039-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 22:19:46 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 23
% Syntax : Number of clauses : 114 ( 23 unt; 43 nHn; 111 RR)
% Number of literals : 295 ( 62 equ; 131 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp3_favoured_trategy_20,axiom,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| environment(sk1(A))
| selection_favors(efficient_producers,first_movers,A) ) ).
cnf(mp3_favoured_trategy_21,axiom,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| in_environment(A,sk1(A))
| selection_favors(efficient_producers,first_movers,A) ) ).
cnf(mp3_favoured_trategy_22,axiom,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| selection_favors(efficient_producers,first_movers,A) ) ).
cnf(mp4_critical_point_23,axiom,
( ~ observational_period(A)
| ~ slow_change(A)
| ~ environment(B)
| ~ in_environment(A,B)
| in_environment(B,sk2(B,A)) ) ).
cnf(mp4_critical_point_24,axiom,
( ~ observational_period(A)
| ~ slow_change(A)
| ~ environment(B)
| ~ in_environment(A,B)
| greater(sk2(B,A),critical_point(B)) ) ).
cnf(mp_organizational_sets1_25,axiom,
propagation_strategy(first_movers) ).
cnf(mp_organizational_sets2_26,axiom,
propagation_strategy(efficient_producers) ).
cnf(mp_time_in_environment_27,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,start_time(A))
| ~ greater_or_equal(end_time(A),B)
| in_environment(A,B) ) ).
cnf(mp_environment_end_point_28,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(end_time(A),B) ) ).
cnf(mp_time_of_critical_point_29,axiom,
( ~ environment(A)
| greater_or_equal(critical_point(A),start_time(A)) ) ).
cnf(mp_greater_transitivity_30,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ) ).
cnf(mp_greater_or_equal_31,axiom,
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ) ).
cnf(mp_greater_or_equal_32,axiom,
( ~ greater(A,B)
| greater_or_equal(A,B) ) ).
cnf(mp_greater_or_equal_33,axiom,
( A != B
| greater_or_equal(A,B) ) ).
cnf(l8_35,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(B,critical_point(A))
| selection_favors(efficient_producers,first_movers,B) ) ).
cnf(prove_t8_36,negated_conjecture,
observational_period(sk3) ).
cnf(prove_t8_37,negated_conjecture,
slow_change(sk3) ).
cnf(prove_t8_38,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3) ).
cnf(refute_0_0,plain,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(efficient_producers) )],[mp_organizational_sets2_26,mp3_favoured_trategy_22]) ).
cnf(refute_0_1,plain,
( ~ observational_period(A)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(A)))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(first_movers) )],[mp_organizational_sets1_25,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ observational_period(sk3)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(sk3))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk1(sk3))
| ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference(subst,[],[l8_35:[bind(A,$fot(sk1(sk3))),bind(B,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_4,plain,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| in_environment(A,sk1(A))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(efficient_producers) )],[mp_organizational_sets2_26,mp3_favoured_trategy_21]) ).
cnf(refute_0_5,plain,
( ~ observational_period(A)
| in_environment(A,sk1(A))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(first_movers) )],[mp_organizational_sets1_25,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ observational_period(sk3)
| in_environment(sk3,sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(sk3))]]) ).
cnf(refute_0_7,plain,
( in_environment(sk3,sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_6]) ).
cnf(refute_0_8,plain,
in_environment(sk3,sk1(sk3)),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_7,prove_t8_38]) ).
cnf(refute_0_9,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ slow_change(sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(subst,[],[mp4_critical_point_24:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk3)))]]) ).
cnf(refute_0_10,plain,
( ~ environment(sk1(sk3))
| ~ observational_period(sk3)
| ~ slow_change(sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk3)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ observational_period(A)
| ~ propagation_strategy(first_movers)
| environment(sk1(A))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(efficient_producers) )],[mp_organizational_sets2_26,mp3_favoured_trategy_20]) ).
cnf(refute_0_12,plain,
( ~ observational_period(A)
| environment(sk1(A))
| selection_favors(efficient_producers,first_movers,A) ),
inference(resolve,[$cnf( propagation_strategy(first_movers) )],[mp_organizational_sets1_25,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ observational_period(sk3)
| environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(sk3))]]) ).
cnf(refute_0_14,plain,
( environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_13]) ).
cnf(refute_0_15,plain,
environment(sk1(sk3)),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_14,prove_t8_38]) ).
cnf(refute_0_16,plain,
( ~ observational_period(sk3)
| ~ slow_change(sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_10]) ).
cnf(refute_0_17,plain,
( ~ slow_change(sk3)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_16]) ).
cnf(refute_0_18,plain,
greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
inference(resolve,[$cnf( slow_change(sk3) )],[prove_t8_37,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) )],[refute_0_18,refute_0_3]) ).
cnf(refute_0_20,plain,
( ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ slow_change(sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(subst,[],[mp4_critical_point_23:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk3)))]]) ).
cnf(refute_0_22,plain,
( ~ environment(sk1(sk3))
| ~ observational_period(sk3)
| ~ slow_change(sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk3)) )],[refute_0_8,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ observational_period(sk3)
| ~ slow_change(sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ slow_change(sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_23]) ).
cnf(refute_0_25,plain,
in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
inference(resolve,[$cnf( slow_change(sk3) )],[prove_t8_37,refute_0_24]) ).
cnf(refute_0_26,plain,
selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)),
inference(resolve,[$cnf( in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) )],[refute_0_25,refute_0_20]) ).
cnf(refute_0_27,plain,
( ~ environment(sk1(sk3))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(subst,[],[l8_35:[bind(A,$fot(sk1(sk3))),bind(B,$fot(end_time(sk1(sk3))))]]) ).
cnf(refute_0_28,plain,
( ~ greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| ~ greater(sk2(sk1(sk3),sk3),C)
| greater(end_time(sk1(sk3)),C) ),
inference(subst,[],[mp_greater_transitivity_30:[bind(A,$fot(end_time(sk1(sk3)))),bind(B,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_29,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(subst,[],[mp_greater_or_equal_31:[bind(A,$fot(end_time(sk1(sk3)))),bind(B,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_30,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(subst,[],[mp_environment_end_point_28:[bind(A,$fot(sk1(sk3))),bind(B,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_31,plain,
( ~ environment(sk1(sk3))
| greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) )],[refute_0_25,refute_0_30]) ).
cnf(refute_0_32,plain,
greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(resolve,[$cnf( greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) )],[refute_0_32,refute_0_29]) ).
cnf(refute_0_34,plain,
( ~ greater(sk2(sk1(sk3),sk3),C)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),C) ),
inference(resolve,[$cnf( greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) )],[refute_0_33,refute_0_28]) ).
cnf(refute_0_35,plain,
( ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(subst,[],[refute_0_34:[bind(C,$fot(critical_point(sk1(sk3))))]]) ).
cnf(refute_0_36,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolve,[$cnf( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) )],[refute_0_18,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) )],[refute_0_36,refute_0_27]) ).
cnf(refute_0_38,plain,
( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(subst,[],[mp_greater_or_equal_32:[bind(A,$fot(end_time(sk1(sk3)))),bind(B,$fot(critical_point(sk1(sk3))))]]) ).
cnf(refute_0_40,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(resolve,[$cnf( greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
( B != B
| greater_or_equal(B,B) ),
inference(subst,[],[mp_greater_or_equal_33:[bind(A,$fot(B))]]) ).
cnf(refute_0_42,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_43,plain,
greater_or_equal(B,B),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))),
inference(subst,[],[refute_0_43:[bind(B,$fot(end_time(sk1(sk3))))]]) ).
cnf(refute_0_45,plain,
( ~ environment(sk1(sk3))
| ~ greater_or_equal(B,start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),B)
| in_environment(sk1(sk3),B) ),
inference(subst,[],[mp_time_in_environment_27:[bind(A,$fot(sk1(sk3)))]]) ).
cnf(refute_0_46,plain,
( ~ environment(sk1(sk3))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(subst,[],[mp_time_in_environment_27:[bind(A,$fot(sk1(sk3))),bind(B,$fot(end_time(sk1(sk3))))]]) ).
cnf(refute_0_47,plain,
( ~ greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
| greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(subst,[],[mp_greater_or_equal_32:[bind(A,$fot(end_time(sk1(sk3)))),bind(B,$fot(start_time(sk1(sk3))))]]) ).
cnf(refute_0_48,plain,
( ~ greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(subst,[],[refute_0_34:[bind(C,$fot(start_time(sk1(sk3))))]]) ).
cnf(refute_0_49,plain,
( ~ environment(sk1(sk3))
| greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(subst,[],[mp_time_of_critical_point_29:[bind(A,$fot(sk1(sk3)))]]) ).
cnf(refute_0_50,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(subst,[],[mp_greater_or_equal_31:[bind(A,$fot(critical_point(sk1(sk3)))),bind(B,$fot(start_time(sk1(sk3))))]]) ).
cnf(refute_0_52,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ greater(X_11,critical_point(sk1(sk3)))
| ~ greater(critical_point(sk1(sk3)),start_time(sk1(sk3)))
| greater(X_11,start_time(sk1(sk3))) ),
inference(subst,[],[mp_greater_transitivity_30:[bind(A,$fot(X_11)),bind(B,$fot(critical_point(sk1(sk3)))),bind(C,$fot(start_time(sk1(sk3))))]]) ).
cnf(refute_0_54,plain,
( ~ greater(X_11,critical_point(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(X_11,start_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
inference(subst,[],[refute_0_54:[bind(X_11,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_56,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) )],[refute_0_18,refute_0_55]) ).
cnf(refute_0_57,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) )],[refute_0_56,refute_0_48]) ).
cnf(refute_0_58,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater(end_time(sk1(sk3)),start_time(sk1(sk3))) )],[refute_0_57,refute_0_47]) ).
cnf(refute_0_59,plain,
( ~ environment(sk1(sk3))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) )],[refute_0_58,refute_0_46]) ).
cnf(refute_0_60,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_59]) ).
cnf(refute_0_61,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) )],[refute_0_44,refute_0_60]) ).
cnf(refute_0_62,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( in_environment(sk1(sk3),end_time(sk1(sk3))) )],[refute_0_61,refute_0_38]) ).
cnf(refute_0_63,plain,
( ~ observational_period(sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )],[refute_0_62,refute_0_2]) ).
cnf(refute_0_64,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_63]) ).
cnf(refute_0_65,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_64,prove_t8_38]) ).
cnf(refute_0_66,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_67,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_68,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( end_time(sk1(sk3)) != sk2(sk1(sk3),sk3)
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3)) ),
inference(subst,[],[refute_0_68:[bind(X,$fot(end_time(sk1(sk3)))),bind(Y,$fot(sk2(sk1(sk3),sk3)))]]) ).
cnf(refute_0_70,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3)) ),
inference(resolve,[$cnf( $equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) )],[refute_0_65,refute_0_69]) ).
cnf(refute_0_71,plain,
( sk2(sk1(sk3),sk3) != end_time(sk1(sk3))
| ~ selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
introduced(tautology,[equality,[$cnf( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),[2],$fot(end_time(sk1(sk3)))]]) ).
cnf(refute_0_72,plain,
( ~ selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( $equal(sk2(sk1(sk3),sk3),end_time(sk1(sk3))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) )],[refute_0_26,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ observational_period(sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )],[refute_0_73,refute_0_2]) ).
cnf(refute_0_75,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_74]) ).
cnf(refute_0_76,plain,
critical_point(sk1(sk3)) = start_time(sk1(sk3)),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_75,prove_t8_38]) ).
cnf(refute_0_77,plain,
( critical_point(sk1(sk3)) != start_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(subst,[],[refute_0_68:[bind(X,$fot(critical_point(sk1(sk3)))),bind(Y,$fot(start_time(sk1(sk3))))]]) ).
cnf(refute_0_78,plain,
start_time(sk1(sk3)) = critical_point(sk1(sk3)),
inference(resolve,[$cnf( $equal(critical_point(sk1(sk3)),start_time(sk1(sk3))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( start_time(sk1(sk3)) != critical_point(sk1(sk3))
| ~ greater_or_equal(B,critical_point(sk1(sk3)))
| greater_or_equal(B,start_time(sk1(sk3))) ),
introduced(tautology,[equality,[$cnf( ~ greater_or_equal(B,start_time(sk1(sk3))) ),[1],$fot(critical_point(sk1(sk3)))]]) ).
cnf(refute_0_80,plain,
( ~ greater_or_equal(B,critical_point(sk1(sk3)))
| greater_or_equal(B,start_time(sk1(sk3))) ),
inference(resolve,[$cnf( $equal(start_time(sk1(sk3)),critical_point(sk1(sk3))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ environment(sk1(sk3))
| ~ greater_or_equal(B,critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),B)
| in_environment(sk1(sk3),B) ),
inference(resolve,[$cnf( greater_or_equal(B,start_time(sk1(sk3))) )],[refute_0_80,refute_0_45]) ).
cnf(refute_0_82,plain,
( ~ greater_or_equal(B,critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),B)
| in_environment(sk1(sk3),B) ),
inference(resolve,[$cnf( environment(sk1(sk3)) )],[refute_0_15,refute_0_81]) ).
cnf(refute_0_83,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(subst,[],[refute_0_82:[bind(B,$fot(end_time(sk1(sk3))))]]) ).
cnf(refute_0_84,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) )],[refute_0_44,refute_0_83]) ).
cnf(refute_0_85,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(resolve,[$cnf( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) )],[refute_0_40,refute_0_84]) ).
cnf(refute_0_86,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( in_environment(sk1(sk3),end_time(sk1(sk3))) )],[refute_0_85,refute_0_38]) ).
cnf(refute_0_87,plain,
( ~ observational_period(sk3)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )],[refute_0_86,refute_0_2]) ).
cnf(refute_0_88,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_87]) ).
cnf(refute_0_89,plain,
end_time(sk1(sk3)) = sk2(sk1(sk3),sk3),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_88,prove_t8_38]) ).
cnf(refute_0_90,plain,
sk2(sk1(sk3),sk3) = end_time(sk1(sk3)),
inference(resolve,[$cnf( $equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) )],[refute_0_89,refute_0_69]) ).
cnf(refute_0_91,plain,
( ~ selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolve,[$cnf( $equal(sk2(sk1(sk3),sk3),end_time(sk1(sk3))) )],[refute_0_90,refute_0_71]) ).
cnf(refute_0_92,plain,
selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) )],[refute_0_26,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ observational_period(sk3)
| selection_favors(efficient_producers,first_movers,sk3) ),
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )],[refute_0_92,refute_0_2]) ).
cnf(refute_0_94,plain,
selection_favors(efficient_producers,first_movers,sk3),
inference(resolve,[$cnf( observational_period(sk3) )],[prove_t8_36,refute_0_93]) ).
cnf(refute_0_95,plain,
$false,
inference(resolve,[$cnf( selection_favors(efficient_producers,first_movers,sk3) )],[refute_0_94,prove_t8_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 09:56:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37
% 0.18/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.38
%------------------------------------------------------------------------------