%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT039-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:17 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of clauses : 74 ( 17 unt; 27 nHn; 73 RR)
% Number of literals : 210 ( 29 equ; 108 neg)
% Maximal clause size : 6 ( 2 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 : 71 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp3_favoured_trategy_20,axiom,
( environment(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
cnf(mp_organizational_sets1_25,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
cnf(mp_organizational_sets2_26,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
cnf(mp_greater_or_equal_31,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
cnf(mp_time_of_critical_point_29,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
cnf(prove_t8_36,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_36) ).
cnf(prove_t8_38,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_38) ).
cnf(mp_greater_transitivity_30,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
cnf(mp3_favoured_trategy_21,axiom,
( in_environment(X1,sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
cnf(mp_environment_end_point_28,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
cnf(mp4_critical_point_24,axiom,
( greater(sk2(X2,X1),critical_point(X2))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_24) ).
cnf(mp4_critical_point_23,axiom,
( in_environment(X2,sk2(X2,X1))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_23) ).
cnf(prove_t8_37,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_37) ).
cnf(mp_time_in_environment_27,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_27) ).
cnf(mp_greater_or_equal_32,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
cnf(mp_greater_or_equal_33,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
cnf(l8_35,hypothesis,
( selection_favors(efficient_producers,first_movers,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_35) ).
cnf(mp3_favoured_trategy_22,axiom,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
cnf(c_0_18,axiom,
( environment(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
mp3_favoured_trategy_20 ).
cnf(c_0_19,axiom,
propagation_strategy(first_movers),
mp_organizational_sets1_25 ).
cnf(c_0_20,axiom,
propagation_strategy(efficient_producers),
mp_organizational_sets2_26 ).
cnf(c_0_21,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
mp_greater_or_equal_31 ).
cnf(c_0_22,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
mp_time_of_critical_point_29 ).
cnf(c_0_23,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(sk1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
observational_period(sk3),
prove_t8_36 ).
cnf(c_0_25,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
prove_t8_38 ).
cnf(c_0_26,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
environment(sk1(sk3)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
mp_greater_transitivity_30 ).
cnf(c_0_29,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(critical_point(sk1(sk3)),start_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( in_environment(X1,sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
mp3_favoured_trategy_21 ).
cnf(c_0_31,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_environment_end_point_28 ).
cnf(c_0_32,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(X1,start_time(sk1(sk3)))
| ~ greater(X1,critical_point(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,axiom,
( greater(sk2(X2,X1),critical_point(X2))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
mp4_critical_point_24 ).
cnf(c_0_34,plain,
( in_environment(X1,sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_19]),c_0_20])]) ).
cnf(c_0_35,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_31]) ).
cnf(c_0_36,axiom,
( in_environment(X2,sk2(X2,X1))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
mp4_critical_point_23 ).
cnf(c_0_37,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(sk2(sk1(sk3),X1),start_time(sk1(sk3)))
| ~ slow_change(X1)
| ~ in_environment(X1,sk1(sk3))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27])]) ).
cnf(c_0_38,negated_conjecture,
in_environment(sk3,sk1(sk3)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_24]),c_0_25]) ).
cnf(c_0_39,negated_conjecture,
slow_change(sk3),
prove_t8_37 ).
cnf(c_0_40,plain,
( sk2(X1,X2) = end_time(X1)
| greater(end_time(X1),sk2(X1,X2))
| ~ slow_change(X2)
| ~ in_environment(X2,X1)
| ~ environment(X1)
| ~ observational_period(X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
mp_time_in_environment_27 ).
cnf(c_0_42,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
mp_greater_or_equal_32 ).
cnf(c_0_43,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
mp_greater_or_equal_33 ).
cnf(c_0_44,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_24])]) ).
cnf(c_0_45,plain,
( greater(X1,critical_point(X2))
| ~ greater(X1,sk2(X2,X3))
| ~ slow_change(X3)
| ~ in_environment(X3,X2)
| ~ environment(X2)
| ~ observational_period(X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_46,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_39]),c_0_27]),c_0_24])]) ).
cnf(c_0_47,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(end_time(X1),X2)
| ~ greater(X2,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(X1,start_time(sk1(sk3)))
| ~ greater(X1,sk2(sk1(sk3),sk3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
cnf(c_0_50,hypothesis,
( selection_favors(efficient_producers,first_movers,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1)) ),
l8_35 ).
cnf(c_0_51,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_39]),c_0_38]),c_0_27]),c_0_24])]) ).
cnf(c_0_52,plain,
( in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_49,c_0_46]) ).
cnf(c_0_54,axiom,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1))) ),
mp3_favoured_trategy_22 ).
cnf(c_0_55,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_27])]) ).
cnf(c_0_56,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_27])]) ).
cnf(c_0_57,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1)))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_19]),c_0_20])]) ).
cnf(c_0_58,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,hypothesis,
( selection_favors(efficient_producers,first_movers,sk2(X1,X2))
| ~ slow_change(X2)
| ~ in_environment(X2,X1)
| ~ environment(X1)
| ~ observational_period(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_33]),c_0_36]) ).
cnf(c_0_60,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_24])]),c_0_25]) ).
cnf(c_0_61,plain,
( in_environment(X1,end_time(X2))
| ~ greater_or_equal(end_time(X1),end_time(X2))
| ~ in_environment(X2,start_time(X1))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_62,hypothesis,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_39]),c_0_38]),c_0_27]),c_0_24])]) ).
cnf(c_0_63,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_22]) ).
cnf(c_0_64,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_48]) ).
cnf(c_0_65,hypothesis,
start_time(sk1(sk3)) = critical_point(sk1(sk3)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_62]),c_0_24])]),c_0_25]) ).
cnf(c_0_66,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_42]) ).
cnf(c_0_67,hypothesis,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_27])]) ).
cnf(c_0_68,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_51]),c_0_27])]) ).
cnf(c_0_69,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_55,c_0_69]) ).
cnf(c_0_71,hypothesis,
sk2(sk1(sk3),sk3) = end_time(sk1(sk3)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_70]),c_0_24])]),c_0_25]) ).
cnf(c_0_72,hypothesis,
selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_71]),c_0_39]),c_0_38]),c_0_27]),c_0_24])]) ).
cnf(c_0_73,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_72]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:29:45 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.373s
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