%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 : Tue Sep 8 06:02:58 AM UTC 2026
% Result : Theorem 3.02s 2.16s
% Output : CNFRefutation 3.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 24 ~; 17 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 20 ( 16 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ number_of_routines > organisation_at_time > has_elaborated_routines > founding_time > first_mover > efficient_producer > #nlpp > low > high > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(high,type,
high: $i ).
tff(has_elaborated_routines,type,
has_elaborated_routines: ( $i * $i ) > $o ).
tff(efficient_producer,type,
efficient_producer: $i > $o ).
tff(low,type,
low: $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff(founding_time,type,
founding_time: ( $i * $i ) > $o ).
tff(organisation_at_time,type,
organisation_at_time: ( $i * $i ) > $o ).
tff(first_mover,type,
first_mover: $i > $o ).
tff(number_of_routines,type,
number_of_routines: ( $i * $i * $i ) > $o ).
tff(f_64,hypothesis,
? [X,T] :
( organisation_at_time(X,T)
& founding_time(X,T)
& number_of_routines(X,T,high)
& ~ has_elaborated_routines(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a16) ).
tff(f_75,negated_conjecture,
~ ? [X,T] :
( organisation_at_time(X,T)
& ~ first_mover(X)
& ~ efficient_producer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t10) ).
tff(f_53,hypothesis,
! [X,T] :
( ( organisation_at_time(X,T)
& first_mover(X)
& founding_time(X,T) )
=> number_of_routines(X,T,low) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a15) ).
tff(f_33,axiom,
! [X,T] :
~ ( number_of_routines(X,T,low)
& number_of_routines(X,T,high) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_not_high_and_low) ).
tff(f_43,hypothesis,
! [X,T] :
( ( organisation_at_time(X,T)
& efficient_producer(X)
& founding_time(X,T) )
=> has_elaborated_routines(X,T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14) ).
tff(c_8,plain,
~ has_elaborated_routines('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_14,plain,
organisation_at_time('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_17,plain,
! [X_9,T_10] :
( efficient_producer(X_9)
| first_mover(X_9)
| ~ organisation_at_time(X_9,T_10) ),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_21,plain,
( efficient_producer('#skF_1')
| first_mover('#skF_1') ),
inference(resolution,[status(thm)],[c_14,c_17]) ).
tff(c_23,plain,
first_mover('#skF_1'),
inference(splitLeft,[status(thm)],[c_21]) ).
tff(c_12,plain,
founding_time('#skF_1','#skF_2'),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_10,plain,
number_of_routines('#skF_1','#skF_2',high),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_32,plain,
! [X_15,T_16] :
( number_of_routines(X_15,T_16,low)
| ~ founding_time(X_15,T_16)
| ~ first_mover(X_15)
| ~ organisation_at_time(X_15,T_16) ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_2,plain,
! [X_1,T_2] :
( ~ number_of_routines(X_1,T_2,high)
| ~ number_of_routines(X_1,T_2,low) ),
inference(cnfTransformation,[status(thm)],[f_33]) ).
tff(c_37,plain,
! [X_17,T_18] :
( ~ number_of_routines(X_17,T_18,high)
| ~ founding_time(X_17,T_18)
| ~ first_mover(X_17)
| ~ organisation_at_time(X_17,T_18) ),
inference(resolution,[status(thm)],[c_32,c_2]) ).
tff(c_40,plain,
( ~ founding_time('#skF_1','#skF_2')
| ~ first_mover('#skF_1')
| ~ organisation_at_time('#skF_1','#skF_2') ),
inference(resolution,[status(thm)],[c_10,c_37]) ).
tff(c_44,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_23,c_12,c_40]) ).
tff(c_45,plain,
efficient_producer('#skF_1'),
inference(splitRight,[status(thm)],[c_21]) ).
tff(c_47,plain,
! [X_19,T_20] :
( has_elaborated_routines(X_19,T_20)
| ~ founding_time(X_19,T_20)
| ~ efficient_producer(X_19)
| ~ organisation_at_time(X_19,T_20) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_50,plain,
( has_elaborated_routines('#skF_1','#skF_2')
| ~ founding_time('#skF_1','#skF_2')
| ~ efficient_producer('#skF_1') ),
inference(resolution,[status(thm)],[c_14,c_47]) ).
tff(c_53,plain,
has_elaborated_routines('#skF_1','#skF_2'),
inference(demodulation,[status(thm),theory(equality)],[c_45,c_12,c_50]) ).
tff(c_55,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.04 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 13:02:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 3.02/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.02/2.16
% 3.02/2.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------