TSTP Solution File: MGT039-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 : Thu Aug 31 09:08:34 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of formulae : 79 ( 12 unt; 16 typ; 0 def)
% Number of atoms : 214 ( 17 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 280 ( 129 ~; 151 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 13 >; 6 *; 0 +; 0 <<)
% 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 : 82 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
observational_period: $i > $o ).
tff(decl_23,type,
first_movers: $i ).
tff(decl_24,type,
propagation_strategy: $i > $o ).
tff(decl_25,type,
efficient_producers: $i ).
tff(decl_26,type,
sk1: $i > $i ).
tff(decl_27,type,
environment: $i > $o ).
tff(decl_28,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_30,type,
end_time: $i > $i ).
tff(decl_31,type,
slow_change: $i > $o ).
tff(decl_32,type,
sk2: ( $i * $i ) > $i ).
tff(decl_33,type,
critical_point: $i > $i ).
tff(decl_34,type,
greater: ( $i * $i ) > $o ).
tff(decl_35,type,
start_time: $i > $i ).
tff(decl_36,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_37,type,
sk3: $i ).
cnf(mp_greater_transitivity_30,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
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/sandbox/benchmark/theBenchmark.p',mp4_critical_point_24) ).
cnf(mp_greater_or_equal_31,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
cnf(mp_environment_end_point_28,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
cnf(mp_time_of_critical_point_29,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
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/sandbox/benchmark/theBenchmark.p',mp4_critical_point_23) ).
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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
cnf(mp_organizational_sets1_25,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
cnf(mp_organizational_sets2_26,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
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/sandbox/benchmark/theBenchmark.p',l8_35) ).
cnf(prove_t8_37,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_37) ).
cnf(prove_t8_36,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_36) ).
cnf(prove_t8_38,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_38) ).
cnf(c_0_18,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
mp_greater_transitivity_30 ).
cnf(c_0_19,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_20,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
mp_greater_or_equal_31 ).
cnf(c_0_21,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_environment_end_point_28 ).
cnf(c_0_22,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_18,c_0_19]) ).
cnf(c_0_23,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,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_25,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
mp_greater_or_equal_32 ).
cnf(c_0_26,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
mp_greater_or_equal_33 ).
cnf(c_0_27,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
mp_time_of_critical_point_29 ).
cnf(c_0_28,plain,
( end_time(X1) = sk2(X2,X3)
| greater(end_time(X1),critical_point(X2))
| ~ slow_change(X3)
| ~ in_environment(X1,sk2(X2,X3))
| ~ in_environment(X3,X2)
| ~ environment(X2)
| ~ environment(X1)
| ~ observational_period(X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,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_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,
propagation_strategy(first_movers),
mp_organizational_sets1_25 ).
cnf(c_0_32,axiom,
propagation_strategy(efficient_producers),
mp_organizational_sets2_26 ).
cnf(c_0_33,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_34,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_24,c_0_25]) ).
cnf(c_0_35,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_37,plain,
( sk2(X1,X2) = end_time(X1)
| greater(end_time(X1),critical_point(X1))
| ~ slow_change(X2)
| ~ in_environment(X2,X1)
| ~ environment(X1)
| ~ observational_period(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,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_31]),c_0_32])]) ).
cnf(c_0_39,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_33,c_0_31]),c_0_32])]) ).
cnf(c_0_40,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_41,plain,
( in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_36]) ).
cnf(c_0_43,hypothesis,
( selection_favors(efficient_producers,first_movers,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1)) ),
l8_35 ).
cnf(c_0_44,plain,
( sk2(sk1(X1),X1) = end_time(sk1(X1))
| greater(end_time(sk1(X1)),critical_point(sk1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_45,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_40,c_0_31]),c_0_32])]) ).
cnf(c_0_46,plain,
( start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,hypothesis,
( sk2(sk1(X1),X1) = end_time(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(sk1(X1),end_time(sk1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_39]),c_0_45]) ).
cnf(c_0_48,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_24,c_0_21]) ).
cnf(c_0_49,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_43,c_0_19]),c_0_29]) ).
cnf(c_0_50,plain,
( sk2(sk1(X1),X1) = end_time(sk1(X1))
| start_time(sk1(X1)) = critical_point(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_39]),c_0_47]) ).
cnf(c_0_51,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_27]) ).
cnf(c_0_52,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_53,hypothesis,
( start_time(sk1(X1)) = critical_point(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]),c_0_38]),c_0_45]) ).
cnf(c_0_54,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_25]) ).
cnf(c_0_55,hypothesis,
( in_environment(sk1(X1),end_time(sk1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(sk1(X1),critical_point(sk1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_39]) ).
cnf(c_0_56,plain,
( sk2(sk1(X1),X1) = end_time(sk1(X1))
| in_environment(sk1(X1),critical_point(sk1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_39]) ).
cnf(c_0_57,hypothesis,
( sk2(sk1(X1),X1) = end_time(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_47]) ).
cnf(c_0_58,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_57]),c_0_39]),c_0_38]),c_0_45]) ).
cnf(c_0_59,negated_conjecture,
slow_change(sk3),
prove_t8_37 ).
cnf(c_0_60,negated_conjecture,
observational_period(sk3),
prove_t8_36 ).
cnf(c_0_61,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
prove_t8_38 ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:38:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.017000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.020000 s
%------------------------------------------------------------------------------