%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT041+2 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Thu Sep 24 08:50:42 AM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Proof 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(mp_not_high_and_low,axiom,
! [X,T] :
~ ( number_of_routines(X,T,high)
& number_of_routines(X,T,low) ),
file('theBenchmark.p',mp_not_high_and_low) ).
fof(a14,hypothesis,
! [X,T] :
( ( founding_time(X,T)
& efficient_producer(X)
& organisation_at_time(X,T) )
=> has_elaborated_routines(X,T) ),
file('theBenchmark.p',a14) ).
fof(a15,hypothesis,
! [X,T] :
( ( founding_time(X,T)
& first_mover(X)
& organisation_at_time(X,T) )
=> number_of_routines(X,T,low) ),
file('theBenchmark.p',a15) ).
fof(a16,hypothesis,
? [X,T] :
( ~ has_elaborated_routines(X,T)
& number_of_routines(X,T,high)
& founding_time(X,T)
& organisation_at_time(X,T) ),
file('theBenchmark.p',a16) ).
fof(prove_t10,conjecture,
? [X,T] :
( ~ efficient_producer(X)
& ~ first_mover(X)
& organisation_at_time(X,T) ),
file('theBenchmark.p',prove_t10) ).
fof(f_1_1,plain,
! [X,T] :
( ~ number_of_routines(X,T,high)
| ~ number_of_routines(X,T,low) ),
inference(fof_nnf,[status(thm)],[mp_not_high_and_low]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ~ number_of_routines(U_1,U_0,high)
| ~ number_of_routines(U_1,U_0,low) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
cnf(f_1_3,plain,
( ~ number_of_routines(U_1,U_0,high)
| ~ number_of_routines(U_1,U_0,low) ),
inference(clausify,[status(thm)],[f_1_2]) ).
fof(f_2_1,plain,
! [X,T] :
( has_elaborated_routines(X,T)
| ~ founding_time(X,T)
| ~ efficient_producer(X)
| ~ organisation_at_time(X,T) ),
inference(fof_nnf,[status(thm)],[a14]) ).
fof(f_2_2,plain,
! [U_3,U_2] :
( has_elaborated_routines(U_3,U_2)
| ~ founding_time(U_3,U_2)
| ~ efficient_producer(U_3)
| ~ organisation_at_time(U_3,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
cnf(f_2_3,plain,
( has_elaborated_routines(U_3,U_2)
| ~ founding_time(U_3,U_2)
| ~ efficient_producer(U_3)
| ~ organisation_at_time(U_3,U_2) ),
inference(clausify,[status(thm)],[f_2_2]) ).
fof(f_3_1,plain,
! [X,T] :
( number_of_routines(X,T,low)
| ~ founding_time(X,T)
| ~ first_mover(X)
| ~ organisation_at_time(X,T) ),
inference(fof_nnf,[status(thm)],[a15]) ).
fof(f_3_2,plain,
! [U_5,U_4] :
( number_of_routines(U_5,U_4,low)
| ~ founding_time(U_5,U_4)
| ~ first_mover(U_5)
| ~ organisation_at_time(U_5,U_4) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
cnf(f_3_3,plain,
( number_of_routines(U_5,U_4,low)
| ~ founding_time(U_5,U_4)
| ~ first_mover(U_5)
| ~ organisation_at_time(U_5,U_4) ),
inference(clausify,[status(thm)],[f_3_2]) ).
fof(f_4_1,plain,
? [X,T] :
( ~ has_elaborated_routines(X,T)
& number_of_routines(X,T,high)
& founding_time(X,T)
& organisation_at_time(X,T) ),
inference(fof_nnf,[status(thm)],[a16]) ).
fof(f_4_2,plain,
? [U_7,U_6] :
( ~ has_elaborated_routines(U_7,U_6)
& number_of_routines(U_7,U_6,high)
& founding_time(U_7,U_6)
& organisation_at_time(U_7,U_6) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
? [U_6] :
( ~ has_elaborated_routines(sK1,U_6)
& number_of_routines(sK1,U_6,high)
& founding_time(sK1,U_6)
& organisation_at_time(sK1,U_6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1)],[f_4_2]) ).
fof(f_4_4,plain,
( ~ has_elaborated_routines(sK1,sK2)
& number_of_routines(sK1,sK2,high)
& founding_time(sK1,sK2)
& organisation_at_time(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_6,sK2)],[f_4_3]) ).
cnf(f_4_5,plain,
organisation_at_time(sK1,sK2),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
founding_time(sK1,sK2),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_7,plain,
number_of_routines(sK1,sK2,high),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_8,plain,
~ has_elaborated_routines(sK1,sK2),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,negated_conjecture,
~ ? [X,T] :
( ~ efficient_producer(X)
& ~ first_mover(X)
& organisation_at_time(X,T) ),
inference(negate,[status(cth)],[prove_t10]) ).
fof(f_5_2,negated_conjecture,
! [X,T] :
( efficient_producer(X)
| first_mover(X)
| ~ organisation_at_time(X,T) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
! [U_9,U_8] :
( efficient_producer(U_9)
| first_mover(U_9)
| ~ organisation_at_time(U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_5_2]) ).
fof(f_5_4,negated_conjecture,
! [U_9] :
( ! [U_8] : ~ organisation_at_time(U_9,U_8)
| efficient_producer(U_9)
| first_mover(U_9) ),
inference(miniscope,[status(thm)],[f_5_3]) ).
fof(f_5_5,negated_conjecture,
! [U_8,U_9] :
( ~ organisation_at_time(U_9,U_8)
| efficient_producer(U_9)
| first_mover(U_9) ),
inference(definitional_conversion,[status(esa)],[f_5_4]) ).
cnf(f_5_6,negated_conjecture,
( ~ organisation_at_time(U_9,U_8)
| efficient_producer(U_9)
| first_mover(U_9) ),
inference(clausify,[status(thm)],[f_5_5]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT041+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 16:16:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % SZS status Theorem for theBenchmark
% 0.11/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------