TSTP Solution File: MGT039+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : Theorem 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 82 ( 9 unt; 16 typ; 0 def)
% Number of atoms : 252 ( 18 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 316 ( 130 ~; 152 |; 22 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 93 ( 0 sgn; 33 !; 1 ?; 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,
environment: $i > $o ).
tff(decl_27,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_28,type,
end_time: $i > $i ).
tff(decl_29,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
slow_change: $i > $o ).
tff(decl_31,type,
critical_point: $i > $i ).
tff(decl_32,type,
greater: ( $i * $i ) > $o ).
tff(decl_33,type,
start_time: $i > $i ).
tff(decl_34,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_35,type,
esk1_1: $i > $i ).
tff(decl_36,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk3_0: $i ).
fof(mp_greater_transitivity,axiom,
! [X4,X5,X6] :
( ( greater(X4,X5)
& greater(X5,X6) )
=> greater(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(mp4_critical_point,axiom,
! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> ! [X2] :
( ( environment(X2)
& in_environment(X1,X2) )
=> ? [X3] :
( in_environment(X2,X3)
& greater(X3,critical_point(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point) ).
fof(mp_greater_or_equal,axiom,
! [X4,X5] :
( greater_or_equal(X4,X5)
<=> ( greater(X4,X5)
| X4 = X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(mp_environment_end_point,axiom,
! [X2,X3] :
( ( environment(X2)
& in_environment(X2,X3) )
=> greater_or_equal(end_time(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point) ).
fof(mp_time_in_environment,axiom,
! [X2,X3] :
( ( environment(X2)
& greater_or_equal(X3,start_time(X2))
& greater_or_equal(end_time(X2),X3) )
=> in_environment(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment) ).
fof(mp_time_of_critical_point,axiom,
! [X2] :
( environment(X2)
=> greater_or_equal(critical_point(X2),start_time(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(mp3_favoured_trategy,axiom,
! [X1] :
( ( observational_period(X1)
& propagation_strategy(first_movers)
& propagation_strategy(efficient_producers)
& ! [X2] :
( ( environment(X2)
& in_environment(X1,X2) )
=> selection_favors(efficient_producers,first_movers,end_time(X2)) ) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
fof(mp_organizational_sets1,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(mp_organizational_sets2,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2) ).
fof(l8,hypothesis,
! [X2,X3] :
( ( environment(X2)
& in_environment(X2,X3)
& greater(X3,critical_point(X2)) )
=> selection_favors(efficient_producers,first_movers,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8) ).
fof(prove_t8,conjecture,
! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).
fof(c_0_11,plain,
! [X17,X18,X19] :
( ~ greater(X17,X18)
| ~ greater(X18,X19)
| greater(X17,X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
fof(c_0_12,plain,
! [X9,X10] :
( ( in_environment(X10,esk2_2(X9,X10))
| ~ environment(X10)
| ~ in_environment(X9,X10)
| ~ observational_period(X9)
| ~ slow_change(X9) )
& ( greater(esk2_2(X9,X10),critical_point(X10))
| ~ environment(X10)
| ~ in_environment(X9,X10)
| ~ observational_period(X9)
| ~ slow_change(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp4_critical_point])])])])]) ).
fof(c_0_13,plain,
! [X20,X21] :
( ( ~ greater_or_equal(X20,X21)
| greater(X20,X21)
| X20 = X21 )
& ( ~ greater(X20,X21)
| greater_or_equal(X20,X21) )
& ( X20 != X21
| greater_or_equal(X20,X21) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).
fof(c_0_14,plain,
! [X14,X15] :
( ~ environment(X14)
| ~ in_environment(X14,X15)
| greater_or_equal(end_time(X14),X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_end_point])]) ).
cnf(c_0_15,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( greater(esk2_2(X1,X2),critical_point(X2))
| ~ environment(X2)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ slow_change(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X12,X13] :
( ~ environment(X12)
| ~ greater_or_equal(X13,start_time(X12))
| ~ greater_or_equal(end_time(X12),X13)
| in_environment(X12,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])]) ).
fof(c_0_20,plain,
! [X16] :
( ~ environment(X16)
| greater_or_equal(critical_point(X16),start_time(X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])]) ).
cnf(c_0_21,plain,
( greater(X1,critical_point(X2))
| ~ greater(X1,esk2_2(X3,X2))
| ~ slow_change(X3)
| ~ in_environment(X3,X2)
| ~ environment(X2)
| ~ observational_period(X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_23,plain,
! [X7] :
( ( environment(esk1_1(X7))
| ~ observational_period(X7)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X7) )
& ( in_environment(X7,esk1_1(X7))
| ~ observational_period(X7)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X7) )
& ( ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X7)))
| ~ observational_period(X7)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X7) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3_favoured_trategy])])])]) ).
cnf(c_0_24,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_26,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_27,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( end_time(X1) = esk2_2(X2,X3)
| greater(end_time(X1),critical_point(X3))
| ~ slow_change(X2)
| ~ in_environment(X1,esk2_2(X2,X3))
| ~ in_environment(X2,X3)
| ~ environment(X3)
| ~ environment(X1)
| ~ observational_period(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( in_environment(X1,esk2_2(X2,X1))
| ~ environment(X1)
| ~ in_environment(X2,X1)
| ~ observational_period(X2)
| ~ slow_change(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,plain,
( in_environment(X1,esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
propagation_strategy(first_movers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets1]) ).
cnf(c_0_32,plain,
propagation_strategy(efficient_producers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets2]) ).
cnf(c_0_33,plain,
( environment(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
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_17,c_0_27]) ).
fof(c_0_37,hypothesis,
! [X24,X25] :
( ~ environment(X24)
| ~ in_environment(X24,X25)
| ~ greater(X25,critical_point(X24))
| selection_favors(efficient_producers,first_movers,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l8])]) ).
cnf(c_0_38,plain,
( esk2_2(X1,X2) = end_time(X2)
| greater(end_time(X2),critical_point(X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ environment(X2)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_39,plain,
( selection_favors(efficient_producers,first_movers,X1)
| in_environment(X1,esk1_1(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_40,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(esk1_1(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_41,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_42,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_43,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_15,c_0_36]) ).
cnf(c_0_44,hypothesis,
( selection_favors(efficient_producers,first_movers,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_46,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_31]),c_0_32])]) ).
cnf(c_0_47,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_42,c_0_43]) ).
cnf(c_0_48,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_40]),c_0_46]) ).
cnf(c_0_49,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_18]) ).
cnf(c_0_50,hypothesis,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ environment(X2)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_16]),c_0_29]) ).
cnf(c_0_51,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(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_47,c_0_45]),c_0_40]),c_0_48]) ).
cnf(c_0_52,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_53,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_54,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(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_50,c_0_51]),c_0_40]),c_0_39]),c_0_46]) ).
cnf(c_0_55,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_25]) ).
cnf(c_0_56,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_40]) ).
cnf(c_0_57,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_40]) ).
fof(c_0_58,negated_conjecture,
~ ! [X1] :
( ( observational_period(X1)
& slow_change(X1) )
=> selection_favors(efficient_producers,first_movers,X1) ),
inference(assume_negation,[status(cth)],[prove_t8]) ).
cnf(c_0_59,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_48]) ).
fof(c_0_60,negated_conjecture,
( observational_period(esk3_0)
& slow_change(esk3_0)
& ~ selection_favors(efficient_producers,first_movers,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
cnf(c_0_61,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_50,c_0_59]),c_0_40]),c_0_39]),c_0_46]) ).
cnf(c_0_62,negated_conjecture,
slow_change(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_63,negated_conjecture,
observational_period(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_64,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:09:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.020000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.023000 s
%------------------------------------------------------------------------------