%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT036-2 : 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 : n001.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 08:50:40 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 50 ( 37 unt; 0 nHn; 50 RR)
% Number of literals : 82 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
( subpopulations(C,B,A,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
cnf(mp_time_point_occur_2,axiom,
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_time_point_occur_2) ).
cnf(mp_growth_rate_relationships_5,axiom,
( ~ greater(zero,growth_rate(A,B))
| ~ greater_or_equal(growth_rate(A,B),zero) ),
file('theBenchmark.p',mp_growth_rate_relationships_5) ).
cnf(d2_8,hypothesis,
( greater_or_equal(growth_rate(C,D),zero)
| ~ outcompetes(C,B,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',d2_8) ).
cnf(d2_9,hypothesis,
( greater(zero,growth_rate(B,D))
| ~ outcompetes(C,B,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('theBenchmark.p',d2_9) ).
cnf(a2_10,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)),
file('theBenchmark.p',a2_10) ).
cnf(a13_11,hypothesis,
( ~ greater(zero,growth_rate(D,B))
| ~ greater(resilience(D),resilience(C))
| greater(zero,growth_rate(C,B))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',a13_11) ).
cnf(prove_t5_12,negated_conjecture,
environment(sk1),
file('theBenchmark.p',prove_t5_12) ).
cnf(prove_t5_13,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('theBenchmark.p',prove_t5_13) ).
cnf(prove_t5_14,negated_conjecture,
outcompetes(first_movers,efficient_producers,sk2),
file('theBenchmark.p',prove_t5_14) ).
cnf(t1,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(start,[status(thm),parent(0:0)],[mp_growth_rate_relationships_5]) ).
cnf(t2,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(extension,[status(thm),parent(t1:1)],[d2_8]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
environment(sk1),
inference(extension,[status(thm),parent(t2:2)],[prove_t5_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(l2,lemma,
environment(sk1),
inference(lemma,[status(cth),parent(t2:2),below(t1:1)],[t2:2]) ).
cnf(t6,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(extension,[status(thm),parent(t2:3)],[prove_t5_14]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(extension,[status(thm),parent(t2:4)],[mp_symmetry_of_subpopulations_1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
environment(sk1),
inference(lemma_extension,[status(thm),parent(t8:2)],[l2:1]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(extension,[status(thm),parent(t8:3)],[prove_t5_13]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).
cnf(t14,plain,
( ~ in_environment(sk1,sk2)
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ environment(sk1)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(extension,[status(thm),parent(t1:2)],[a13_11]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t1:2]) ).
cnf(t16,plain,
environment(sk1),
inference(extension,[status(thm),parent(t14:2)],[prove_t5_12]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(l7,lemma,
environment(sk1),
inference(lemma,[status(cth),parent(t14:2),below(t1:2)],[t14:2]) ).
cnf(t18,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(extension,[status(thm),parent(t14:3)],[a2_10]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t14:3]) ).
cnf(t20,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(extension,[status(thm),parent(t14:4)],[d2_9]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t14:4]) ).
cnf(t22,plain,
environment(sk1),
inference(extension,[status(thm),parent(t20:2)],[prove_t5_12]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(l10,lemma,
environment(sk1),
inference(lemma,[status(cth),parent(t20:2),below(t14:4)],[t20:2]) ).
cnf(t24,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(extension,[status(thm),parent(t20:3)],[prove_t5_14]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(extension,[status(thm),parent(t20:4)],[mp_symmetry_of_subpopulations_1]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t20:4]) ).
cnf(t28,plain,
environment(sk1),
inference(lemma_extension,[status(thm),parent(t26:2)],[l10:1]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(extension,[status(thm),parent(t26:3)],[prove_t5_13]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).
cnf(t32,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(extension,[status(thm),parent(t14:5)],[mp_time_point_occur_2]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t14:5]) ).
cnf(t34,plain,
environment(sk1),
inference(lemma_extension,[status(thm),parent(t32:2)],[l7:1]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(extension,[status(thm),parent(t32:3)],[prove_t5_13]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-2 : 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
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 16:19:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------