%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:50:37 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 38 ( 25 unt; 4 nHn; 38 RR)
% Number of literals : 63 ( 0 equ; 24 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_constant_not_decrease_1,axiom,
( ~ decreases(A)
| ~ constant(A) ),
file('theBenchmark.p',mp_constant_not_decrease_1) ).
cnf(a6_2,hypothesis,
( increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ decreases(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',a6_2) ).
cnf(a6_3,hypothesis,
( constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ constant(resources(A,D))
| ~ greater(resilience(C),resilience(B))
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',a6_3) ).
cnf(a2_4,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('theBenchmark.p',a2_4) ).
cnf(prove_l4_5,negated_conjecture,
environment(sk1),
file('theBenchmark.p',prove_l4_5) ).
cnf(prove_l4_6,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('theBenchmark.p',prove_l4_6) ).
cnf(prove_l4_7,negated_conjecture,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
file('theBenchmark.p',prove_l4_7) ).
cnf(prove_l4_8,negated_conjecture,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('theBenchmark.p',prove_l4_8) ).
cnf(prove_l4_9,negated_conjecture,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('theBenchmark.p',prove_l4_9) ).
cnf(t1,plain,
( ~ decreases(resources(sk1,sk2))
| ~ constant(resources(sk1,sk2)) ),
inference(start,[status(thm),parent(0:0)],[mp_constant_not_decrease_1]) ).
cnf(t2,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(extension,[status(thm),parent(t1:1)],[prove_l4_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(extension,[status(thm),parent(t2:2)],[a6_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
environment(sk1),
inference(extension,[status(thm),parent(t4:2)],[prove_l4_5]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
inference(extension,[status(thm),parent(t4:3)],[prove_l4_7]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t8:2)],[t8:2,t1:1]) ).
cnf(t11,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(extension,[status(thm),parent(t4:4)],[a2_4]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t4:4]) ).
cnf(t13,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(extension,[status(thm),parent(t4:5)],[prove_l4_6]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t4:5]) ).
cnf(l1,lemma,
constant(resources(sk1,sk2)),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t15,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(extension,[status(thm),parent(t1:2)],[prove_l4_8]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t1:2]) ).
cnf(t17,plain,
( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(extension,[status(thm),parent(t15:2)],[mp_constant_not_decrease_1]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t15:2]) ).
cnf(t19,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(extension,[status(thm),parent(t17:2)],[a6_3]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t17:2]) ).
cnf(t21,plain,
environment(sk1),
inference(extension,[status(thm),parent(t19:2)],[prove_l4_5]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
constant(resources(sk1,sk2)),
inference(lemma_extension,[status(thm),parent(t19:3)],[l1:1]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t19:3]) ).
cnf(t25,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(extension,[status(thm),parent(t19:4)],[a2_4]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t19:4]) ).
cnf(t27,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(extension,[status(thm),parent(t19:5)],[prove_l4_6]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t19:5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT022-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 : Sat Sep 19 16:13:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------