%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n006.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 08:50:39 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 304 ( 234 unt; 26 nHn; 304 RR)
% Number of literals : 498 ( 0 equ; 170 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_1,axiom,
( in_environment(A,sk2(A))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).
cnf(mp_earliest_time_growth_rate_exceeds_2,axiom,
( in_environment(A,sk2(A))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).
cnf(mp_earliest_time_growth_rate_exceeds_3,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).
cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).
cnf(mp_earliest_time_growth_rate_exceeds_5,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).
cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).
cnf(mp_earliest_time_growth_rate_exceeds_7,axiom,
( in_environment(A,sk2(A))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).
cnf(mp_earliest_time_growth_rate_exceeds_8,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).
cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).
cnf(l1_10,hypothesis,
( in_environment(A,sk3(A))
| ~ stable(A)
| ~ environment(A) ),
file('theBenchmark.p',l1_10) ).
cnf(l1_11,hypothesis,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater_or_equal(B,sk3(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ),
file('theBenchmark.p',l1_11) ).
cnf(prove_l12_12,negated_conjecture,
environment(sk4),
file('theBenchmark.p',prove_l12_12) ).
cnf(prove_l12_13,negated_conjecture,
stable(sk4),
file('theBenchmark.p',prove_l12_13) ).
cnf(prove_l12_14,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk4,sk5(A))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk4,A) ),
file('theBenchmark.p',prove_l12_14) ).
cnf(prove_l12_15,negated_conjecture,
( greater(sk5(A),A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk4,A) ),
file('theBenchmark.p',prove_l12_15) ).
cnf(prove_l12_16,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A)))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk4,A) ),
file('theBenchmark.p',prove_l12_16) ).
cnf(t1,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4) ),
inference(start,[status(thm),parent(0:0)],[mp_earliest_time_growth_rate_exceeds_8]) ).
cnf(t2,plain,
environment(sk4),
inference(extension,[status(thm),parent(t1:1)],[prove_l12_12]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(l1,lemma,
environment(sk4),
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t4,plain,
( ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t1:2)],[prove_l12_16]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
cnf(t6,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t4:2)],[mp_earliest_time_growth_rate_exceeds_7]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t6:2)],[l1:1]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ stable(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(extension,[status(thm),parent(t6:3)],[l1_11]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t6:3]) ).
cnf(t12,plain,
environment(sk4),
inference(extension,[status(thm),parent(t10:2)],[prove_l12_12]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(l5,lemma,
environment(sk4),
inference(lemma,[status(cth),parent(t10:2),below(t6:3)],[t10:2]) ).
cnf(t14,plain,
( ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4))
| ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(extension,[status(thm),parent(t10:3)],[mp_earliest_time_growth_rate_exceeds_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t14:2)],[l5:1]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t14:2]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t14:3)],[t14:3,t4:2]) ).
cnf(t19,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t14:4)],[l1_10]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t14:4]) ).
cnf(t21,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t19:2)],[l5:1]) ).
cnf(t22,plain,
$false,
inference(connection,[status(thm),parent(t21:1)],[t21:1,t19:2]) ).
cnf(t23,plain,
stable(sk4),
inference(extension,[status(thm),parent(t19:3)],[prove_l12_13]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t19:3]) ).
cnf(t25,plain,
( ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4))
| ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(extension,[status(thm),parent(t10:4)],[mp_earliest_time_growth_rate_exceeds_1]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t10:4]) ).
cnf(t27,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t25:2)],[l5:1]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t25:2]) ).
cnf(t29,plain,
$false,
inference(reduction,[status(thm),parent(t25:3)],[t25:3,t4:2]) ).
cnf(t30,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t25:4)],[l1_10]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t25:4]) ).
cnf(t32,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t30:2)],[l5:1]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
stable(sk4),
inference(extension,[status(thm),parent(t30:3)],[prove_l12_13]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).
cnf(t36,plain,
stable(sk4),
inference(extension,[status(thm),parent(t10:5)],[prove_l12_13]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t10:5]) ).
cnf(t38,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t6:4)],[l1_10]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t6:4]) ).
cnf(t40,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t38:2)],[l1:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
stable(sk4),
inference(extension,[status(thm),parent(t38:3)],[prove_l12_13]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(l3,lemma,
in_environment(sk4,sk2(sk4)),
inference(lemma,[status(cth),parent(t4:2),below(t1:2)],[t4:2]) ).
cnf(t44,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(extension,[status(thm),parent(t4:3)],[mp_earliest_time_growth_rate_exceeds_9]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t4:3]) ).
cnf(t46,plain,
environment(sk4),
inference(extension,[status(thm),parent(t44:2)],[prove_l12_12]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t44:2]) ).
cnf(l18,lemma,
environment(sk4),
inference(lemma,[status(cth),parent(t44:2),below(t4:3)],[t44:2]) ).
cnf(t48,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(extension,[status(thm),parent(t44:3)],[prove_l12_15]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t44:3]) ).
cnf(t50,plain,
in_environment(sk4,sk2(sk4)),
inference(lemma_extension,[status(thm),parent(t48:2)],[l3:1]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t48:2]) ).
cnf(t52,plain,
$false,
inference(reduction,[status(thm),parent(t48:3)],[t48:3,t1:2]) ).
cnf(t53,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(extension,[status(thm),parent(t44:4)],[prove_l12_14]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t44:4]) ).
cnf(t55,plain,
in_environment(sk4,sk2(sk4)),
inference(lemma_extension,[status(thm),parent(t53:2)],[l3:1]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t53:2]) ).
cnf(t57,plain,
$false,
inference(reduction,[status(thm),parent(t53:3)],[t53:3,t1:2]) ).
cnf(l21,lemma,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(lemma,[status(cth),parent(t44:4),below(t4:3)],[t44:4]) ).
cnf(t58,plain,
( ~ stable(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(extension,[status(thm),parent(t44:5)],[l1_11]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t44:5]) ).
cnf(t60,plain,
environment(sk4),
inference(extension,[status(thm),parent(t58:2)],[prove_l12_12]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t58:2]) ).
cnf(l24,lemma,
environment(sk4),
inference(lemma,[status(cth),parent(t58:2),below(t44:5)],[t58:2]) ).
cnf(t62,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(extension,[status(thm),parent(t58:3)],[mp_earliest_time_growth_rate_exceeds_6]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t58:3]) ).
cnf(t64,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t62:2)],[l24:1]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t62:2]) ).
cnf(t66,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(extension,[status(thm),parent(t62:3)],[prove_l12_15]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t62:3]) ).
cnf(t68,plain,
in_environment(sk4,sk2(sk4)),
inference(lemma_extension,[status(thm),parent(t66:2)],[l3:1]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
$false,
inference(reduction,[status(thm),parent(t66:3)],[t66:3,t1:2]) ).
cnf(t71,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(lemma_extension,[status(thm),parent(t62:4)],[l21:1]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t62:4]) ).
cnf(t73,plain,
$false,
inference(reduction,[status(thm),parent(t62:5)],[t62:5,t4:3]) ).
cnf(t74,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t62:6)],[l1_10]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t62:6]) ).
cnf(t76,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t74:2)],[l24:1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
stable(sk4),
inference(extension,[status(thm),parent(t74:3)],[prove_l12_13]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t74:3]) ).
cnf(t80,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(extension,[status(thm),parent(t58:4)],[mp_earliest_time_growth_rate_exceeds_4]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t58:4]) ).
cnf(t82,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t80:2)],[l24:1]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t80:2]) ).
cnf(t84,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(extension,[status(thm),parent(t80:3)],[prove_l12_15]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t80:3]) ).
cnf(t86,plain,
in_environment(sk4,sk2(sk4)),
inference(lemma_extension,[status(thm),parent(t84:2)],[l3:1]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t84:2]) ).
cnf(t88,plain,
$false,
inference(reduction,[status(thm),parent(t84:3)],[t84:3,t1:2]) ).
cnf(t89,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(lemma_extension,[status(thm),parent(t80:4)],[l21:1]) ).
cnf(t90,plain,
$false,
inference(connection,[status(thm),parent(t89:1)],[t89:1,t80:4]) ).
cnf(t91,plain,
$false,
inference(reduction,[status(thm),parent(t80:5)],[t80:5,t4:3]) ).
cnf(t92,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t80:6)],[l1_10]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t80:6]) ).
cnf(t94,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t92:2)],[l24:1]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t92:2]) ).
cnf(t96,plain,
stable(sk4),
inference(extension,[status(thm),parent(t92:3)],[prove_l12_13]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t92:3]) ).
cnf(t98,plain,
stable(sk4),
inference(extension,[status(thm),parent(t58:5)],[prove_l12_13]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t58:5]) ).
cnf(t100,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t44:6)],[l1_10]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t44:6]) ).
cnf(t102,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t100:2)],[l18:1]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t100:2]) ).
cnf(t104,plain,
stable(sk4),
inference(extension,[status(thm),parent(t100:3)],[prove_l12_13]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t100:3]) ).
cnf(t106,plain,
( ~ stable(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(extension,[status(thm),parent(t1:3)],[l1_11]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t1:3]) ).
cnf(t108,plain,
environment(sk4),
inference(extension,[status(thm),parent(t106:2)],[prove_l12_12]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t106:2]) ).
cnf(l41,lemma,
environment(sk4),
inference(lemma,[status(cth),parent(t106:2),below(t1:3)],[t106:2]) ).
cnf(t110,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(extension,[status(thm),parent(t106:3)],[mp_earliest_time_growth_rate_exceeds_6]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t106:3]) ).
cnf(t112,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t110:2)],[l41:1]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(extension,[status(thm),parent(t110:3)],[prove_l12_15]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t110:3]) ).
cnf(t116,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t114:2)],[mp_earliest_time_growth_rate_exceeds_2]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t114:2]) ).
cnf(t118,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t116:2)],[l41:1]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t116:2]) ).
cnf(t120,plain,
$false,
inference(reduction,[status(thm),parent(t116:3)],[t116:3,t106:3]) ).
cnf(t121,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t116:4)],[l1_10]) ).
cnf(t122,plain,
$false,
inference(connection,[status(thm),parent(t121:1)],[t121:1,t116:4]) ).
cnf(t123,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t121:2)],[l41:1]) ).
cnf(t124,plain,
$false,
inference(connection,[status(thm),parent(t123:1)],[t123:1,t121:2]) ).
cnf(t125,plain,
stable(sk4),
inference(extension,[status(thm),parent(t121:3)],[prove_l12_13]) ).
cnf(t126,plain,
$false,
inference(connection,[status(thm),parent(t125:1)],[t125:1,t121:3]) ).
cnf(t127,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t114:3)],[mp_earliest_time_growth_rate_exceeds_5]) ).
cnf(t128,plain,
$false,
inference(connection,[status(thm),parent(t127:1)],[t127:1,t114:3]) ).
cnf(t129,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t127:2)],[l41:1]) ).
cnf(t130,plain,
$false,
inference(connection,[status(thm),parent(t129:1)],[t129:1,t127:2]) ).
cnf(t131,plain,
$false,
inference(reduction,[status(thm),parent(t127:3)],[t127:3,t106:3]) ).
cnf(t132,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t127:4)],[l1_10]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t127:4]) ).
cnf(t134,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t132:2)],[l41:1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t132:2]) ).
cnf(t136,plain,
stable(sk4),
inference(extension,[status(thm),parent(t132:3)],[prove_l12_13]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t132:3]) ).
cnf(t138,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(extension,[status(thm),parent(t110:4)],[prove_l12_14]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t110:4]) ).
cnf(t140,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t138:2)],[mp_earliest_time_growth_rate_exceeds_2]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t138:2]) ).
cnf(t142,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t140:2)],[l41:1]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t140:2]) ).
cnf(t144,plain,
$false,
inference(reduction,[status(thm),parent(t140:3)],[t140:3,t106:3]) ).
cnf(t145,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t140:4)],[l1_10]) ).
cnf(t146,plain,
$false,
inference(connection,[status(thm),parent(t145:1)],[t145:1,t140:4]) ).
cnf(t147,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t145:2)],[l41:1]) ).
cnf(t148,plain,
$false,
inference(connection,[status(thm),parent(t147:1)],[t147:1,t145:2]) ).
cnf(t149,plain,
stable(sk4),
inference(extension,[status(thm),parent(t145:3)],[prove_l12_13]) ).
cnf(t150,plain,
$false,
inference(connection,[status(thm),parent(t149:1)],[t149:1,t145:3]) ).
cnf(t151,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t138:3)],[mp_earliest_time_growth_rate_exceeds_5]) ).
cnf(t152,plain,
$false,
inference(connection,[status(thm),parent(t151:1)],[t151:1,t138:3]) ).
cnf(t153,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t151:2)],[l41:1]) ).
cnf(t154,plain,
$false,
inference(connection,[status(thm),parent(t153:1)],[t153:1,t151:2]) ).
cnf(t155,plain,
$false,
inference(reduction,[status(thm),parent(t151:3)],[t151:3,t106:3]) ).
cnf(t156,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t151:4)],[l1_10]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t151:4]) ).
cnf(t158,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t156:2)],[l41:1]) ).
cnf(t159,plain,
$false,
inference(connection,[status(thm),parent(t158:1)],[t158:1,t156:2]) ).
cnf(t160,plain,
stable(sk4),
inference(extension,[status(thm),parent(t156:3)],[prove_l12_13]) ).
cnf(t161,plain,
$false,
inference(connection,[status(thm),parent(t160:1)],[t160:1,t156:3]) ).
cnf(t162,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(extension,[status(thm),parent(t110:5)],[prove_l12_16]) ).
cnf(t163,plain,
$false,
inference(connection,[status(thm),parent(t162:1)],[t162:1,t110:5]) ).
cnf(t164,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t162:2)],[mp_earliest_time_growth_rate_exceeds_2]) ).
cnf(t165,plain,
$false,
inference(connection,[status(thm),parent(t164:1)],[t164:1,t162:2]) ).
cnf(t166,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t164:2)],[l41:1]) ).
cnf(t167,plain,
$false,
inference(connection,[status(thm),parent(t166:1)],[t166:1,t164:2]) ).
cnf(t168,plain,
$false,
inference(reduction,[status(thm),parent(t164:3)],[t164:3,t106:3]) ).
cnf(t169,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t164:4)],[l1_10]) ).
cnf(t170,plain,
$false,
inference(connection,[status(thm),parent(t169:1)],[t169:1,t164:4]) ).
cnf(t171,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t169:2)],[l41:1]) ).
cnf(t172,plain,
$false,
inference(connection,[status(thm),parent(t171:1)],[t171:1,t169:2]) ).
cnf(t173,plain,
stable(sk4),
inference(extension,[status(thm),parent(t169:3)],[prove_l12_13]) ).
cnf(t174,plain,
$false,
inference(connection,[status(thm),parent(t173:1)],[t173:1,t169:3]) ).
cnf(t175,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t162:3)],[mp_earliest_time_growth_rate_exceeds_5]) ).
cnf(t176,plain,
$false,
inference(connection,[status(thm),parent(t175:1)],[t175:1,t162:3]) ).
cnf(t177,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t175:2)],[l41:1]) ).
cnf(t178,plain,
$false,
inference(connection,[status(thm),parent(t177:1)],[t177:1,t175:2]) ).
cnf(t179,plain,
$false,
inference(reduction,[status(thm),parent(t175:3)],[t175:3,t106:3]) ).
cnf(t180,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t175:4)],[l1_10]) ).
cnf(t181,plain,
$false,
inference(connection,[status(thm),parent(t180:1)],[t180:1,t175:4]) ).
cnf(t182,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t180:2)],[l41:1]) ).
cnf(t183,plain,
$false,
inference(connection,[status(thm),parent(t182:1)],[t182:1,t180:2]) ).
cnf(t184,plain,
stable(sk4),
inference(extension,[status(thm),parent(t180:3)],[prove_l12_13]) ).
cnf(t185,plain,
$false,
inference(connection,[status(thm),parent(t184:1)],[t184:1,t180:3]) ).
cnf(t186,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t110:6)],[l1_10]) ).
cnf(t187,plain,
$false,
inference(connection,[status(thm),parent(t186:1)],[t186:1,t110:6]) ).
cnf(t188,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t186:2)],[l41:1]) ).
cnf(t189,plain,
$false,
inference(connection,[status(thm),parent(t188:1)],[t188:1,t186:2]) ).
cnf(t190,plain,
stable(sk4),
inference(extension,[status(thm),parent(t186:3)],[prove_l12_13]) ).
cnf(t191,plain,
$false,
inference(connection,[status(thm),parent(t190:1)],[t190:1,t186:3]) ).
cnf(t192,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(extension,[status(thm),parent(t106:4)],[mp_earliest_time_growth_rate_exceeds_4]) ).
cnf(t193,plain,
$false,
inference(connection,[status(thm),parent(t192:1)],[t192:1,t106:4]) ).
cnf(t194,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t192:2)],[l41:1]) ).
cnf(t195,plain,
$false,
inference(connection,[status(thm),parent(t194:1)],[t194:1,t192:2]) ).
cnf(t196,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(extension,[status(thm),parent(t192:3)],[prove_l12_15]) ).
cnf(t197,plain,
$false,
inference(connection,[status(thm),parent(t196:1)],[t196:1,t192:3]) ).
cnf(t198,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t196:2)],[mp_earliest_time_growth_rate_exceeds_1]) ).
cnf(t199,plain,
$false,
inference(connection,[status(thm),parent(t198:1)],[t198:1,t196:2]) ).
cnf(t200,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t198:2)],[l41:1]) ).
cnf(t201,plain,
$false,
inference(connection,[status(thm),parent(t200:1)],[t200:1,t198:2]) ).
cnf(t202,plain,
$false,
inference(reduction,[status(thm),parent(t198:3)],[t198:3,t106:4]) ).
cnf(t203,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t198:4)],[l1_10]) ).
cnf(t204,plain,
$false,
inference(connection,[status(thm),parent(t203:1)],[t203:1,t198:4]) ).
cnf(t205,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t203:2)],[l41:1]) ).
cnf(t206,plain,
$false,
inference(connection,[status(thm),parent(t205:1)],[t205:1,t203:2]) ).
cnf(t207,plain,
stable(sk4),
inference(extension,[status(thm),parent(t203:3)],[prove_l12_13]) ).
cnf(t208,plain,
$false,
inference(connection,[status(thm),parent(t207:1)],[t207:1,t203:3]) ).
cnf(t209,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t196:3)],[mp_earliest_time_growth_rate_exceeds_3]) ).
cnf(t210,plain,
$false,
inference(connection,[status(thm),parent(t209:1)],[t209:1,t196:3]) ).
cnf(t211,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t209:2)],[l41:1]) ).
cnf(t212,plain,
$false,
inference(connection,[status(thm),parent(t211:1)],[t211:1,t209:2]) ).
cnf(t213,plain,
$false,
inference(reduction,[status(thm),parent(t209:3)],[t209:3,t106:4]) ).
cnf(t214,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t209:4)],[l1_10]) ).
cnf(t215,plain,
$false,
inference(connection,[status(thm),parent(t214:1)],[t214:1,t209:4]) ).
cnf(t216,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t214:2)],[l41:1]) ).
cnf(t217,plain,
$false,
inference(connection,[status(thm),parent(t216:1)],[t216:1,t214:2]) ).
cnf(t218,plain,
stable(sk4),
inference(extension,[status(thm),parent(t214:3)],[prove_l12_13]) ).
cnf(t219,plain,
$false,
inference(connection,[status(thm),parent(t218:1)],[t218:1,t214:3]) ).
cnf(t220,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(extension,[status(thm),parent(t192:4)],[prove_l12_14]) ).
cnf(t221,plain,
$false,
inference(connection,[status(thm),parent(t220:1)],[t220:1,t192:4]) ).
cnf(t222,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t220:2)],[mp_earliest_time_growth_rate_exceeds_1]) ).
cnf(t223,plain,
$false,
inference(connection,[status(thm),parent(t222:1)],[t222:1,t220:2]) ).
cnf(t224,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t222:2)],[l41:1]) ).
cnf(t225,plain,
$false,
inference(connection,[status(thm),parent(t224:1)],[t224:1,t222:2]) ).
cnf(t226,plain,
$false,
inference(reduction,[status(thm),parent(t222:3)],[t222:3,t106:4]) ).
cnf(t227,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t222:4)],[l1_10]) ).
cnf(t228,plain,
$false,
inference(connection,[status(thm),parent(t227:1)],[t227:1,t222:4]) ).
cnf(t229,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t227:2)],[l41:1]) ).
cnf(t230,plain,
$false,
inference(connection,[status(thm),parent(t229:1)],[t229:1,t227:2]) ).
cnf(t231,plain,
stable(sk4),
inference(extension,[status(thm),parent(t227:3)],[prove_l12_13]) ).
cnf(t232,plain,
$false,
inference(connection,[status(thm),parent(t231:1)],[t231:1,t227:3]) ).
cnf(t233,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t220:3)],[mp_earliest_time_growth_rate_exceeds_3]) ).
cnf(t234,plain,
$false,
inference(connection,[status(thm),parent(t233:1)],[t233:1,t220:3]) ).
cnf(t235,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t233:2)],[l41:1]) ).
cnf(t236,plain,
$false,
inference(connection,[status(thm),parent(t235:1)],[t235:1,t233:2]) ).
cnf(t237,plain,
$false,
inference(reduction,[status(thm),parent(t233:3)],[t233:3,t106:4]) ).
cnf(t238,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t233:4)],[l1_10]) ).
cnf(t239,plain,
$false,
inference(connection,[status(thm),parent(t238:1)],[t238:1,t233:4]) ).
cnf(t240,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t238:2)],[l41:1]) ).
cnf(t241,plain,
$false,
inference(connection,[status(thm),parent(t240:1)],[t240:1,t238:2]) ).
cnf(t242,plain,
stable(sk4),
inference(extension,[status(thm),parent(t238:3)],[prove_l12_13]) ).
cnf(t243,plain,
$false,
inference(connection,[status(thm),parent(t242:1)],[t242:1,t238:3]) ).
cnf(t244,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(extension,[status(thm),parent(t192:5)],[prove_l12_16]) ).
cnf(t245,plain,
$false,
inference(connection,[status(thm),parent(t244:1)],[t244:1,t192:5]) ).
cnf(t246,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(extension,[status(thm),parent(t244:2)],[mp_earliest_time_growth_rate_exceeds_1]) ).
cnf(t247,plain,
$false,
inference(connection,[status(thm),parent(t246:1)],[t246:1,t244:2]) ).
cnf(t248,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t246:2)],[l41:1]) ).
cnf(t249,plain,
$false,
inference(connection,[status(thm),parent(t248:1)],[t248:1,t246:2]) ).
cnf(t250,plain,
$false,
inference(reduction,[status(thm),parent(t246:3)],[t246:3,t106:4]) ).
cnf(t251,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t246:4)],[l1_10]) ).
cnf(t252,plain,
$false,
inference(connection,[status(thm),parent(t251:1)],[t251:1,t246:4]) ).
cnf(t253,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t251:2)],[l41:1]) ).
cnf(t254,plain,
$false,
inference(connection,[status(thm),parent(t253:1)],[t253:1,t251:2]) ).
cnf(t255,plain,
stable(sk4),
inference(extension,[status(thm),parent(t251:3)],[prove_l12_13]) ).
cnf(t256,plain,
$false,
inference(connection,[status(thm),parent(t255:1)],[t255:1,t251:3]) ).
cnf(t257,plain,
( ~ in_environment(sk4,sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(extension,[status(thm),parent(t244:3)],[mp_earliest_time_growth_rate_exceeds_3]) ).
cnf(t258,plain,
$false,
inference(connection,[status(thm),parent(t257:1)],[t257:1,t244:3]) ).
cnf(t259,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t257:2)],[l41:1]) ).
cnf(t260,plain,
$false,
inference(connection,[status(thm),parent(t259:1)],[t259:1,t257:2]) ).
cnf(t261,plain,
$false,
inference(reduction,[status(thm),parent(t257:3)],[t257:3,t106:4]) ).
cnf(t262,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t257:4)],[l1_10]) ).
cnf(t263,plain,
$false,
inference(connection,[status(thm),parent(t262:1)],[t262:1,t257:4]) ).
cnf(t264,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t262:2)],[l41:1]) ).
cnf(t265,plain,
$false,
inference(connection,[status(thm),parent(t264:1)],[t264:1,t262:2]) ).
cnf(t266,plain,
stable(sk4),
inference(extension,[status(thm),parent(t262:3)],[prove_l12_13]) ).
cnf(t267,plain,
$false,
inference(connection,[status(thm),parent(t266:1)],[t266:1,t262:3]) ).
cnf(t268,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t192:6)],[l1_10]) ).
cnf(t269,plain,
$false,
inference(connection,[status(thm),parent(t268:1)],[t268:1,t192:6]) ).
cnf(t270,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t268:2)],[l41:1]) ).
cnf(t271,plain,
$false,
inference(connection,[status(thm),parent(t270:1)],[t270:1,t268:2]) ).
cnf(t272,plain,
stable(sk4),
inference(extension,[status(thm),parent(t268:3)],[prove_l12_13]) ).
cnf(t273,plain,
$false,
inference(connection,[status(thm),parent(t272:1)],[t272:1,t268:3]) ).
cnf(t274,plain,
stable(sk4),
inference(extension,[status(thm),parent(t106:5)],[prove_l12_13]) ).
cnf(t275,plain,
$false,
inference(connection,[status(thm),parent(t274:1)],[t274:1,t106:5]) ).
cnf(t276,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(extension,[status(thm),parent(t1:4)],[l1_10]) ).
cnf(t277,plain,
$false,
inference(connection,[status(thm),parent(t276:1)],[t276:1,t1:4]) ).
cnf(t278,plain,
environment(sk4),
inference(lemma_extension,[status(thm),parent(t276:2)],[l1:1]) ).
cnf(t279,plain,
$false,
inference(connection,[status(thm),parent(t278:1)],[t278:1,t276:2]) ).
cnf(t280,plain,
stable(sk4),
inference(extension,[status(thm),parent(t276:3)],[prove_l12_13]) ).
cnf(t281,plain,
$false,
inference(connection,[status(thm),parent(t280:1)],[t280:1,t276:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n006.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 19 16:11:58 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------