TSTP Solution File: MGT028-1 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:41:47 EDT 2024
% Result : Unsatisfiable 58.94s 9.46s
% Output : Refutation 58.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 29
% Syntax : Number of formulae : 125 ( 13 unt; 16 typ; 0 def)
% Number of atoms : 453 ( 22 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 2034 ( 283 ~; 300 |; 0 &;1451 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 124 ( 0 ^ 124 !; 0 ?; 124 :)
% Comments :
%------------------------------------------------------------------------------
thf(environment_type,type,
environment: $i > $o ).
thf(sk4_type,type,
sk4: $i ).
thf(stable_type,type,
stable: $i > $o ).
thf(greater_type,type,
greater: $i > $i > $o ).
thf(appear_type,type,
appear: $i > $i > $i ).
thf(efficient_producers_type,type,
efficient_producers: $i ).
thf(subpopulations_type,type,
subpopulations: $i > $i > $i > $i > $o ).
thf(first_movers_type,type,
first_movers: $i ).
thf(sk5_type,type,
sk5: $i > $i ).
thf(greater_or_equal_type,type,
greater_or_equal: $i > $i > $o ).
thf(zero_type,type,
zero: $i ).
thf(growth_rate_type,type,
growth_rate: $i > $i > $i ).
thf(in_environment_type,type,
in_environment: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i > $i > $i ).
thf(sk2_type,type,
sk2: $i > $i ).
thf(sk3_type,type,
sk3: $i > $i ).
thf(2,negated_conjecture,
stable @ sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).
thf(17,plain,
stable @ sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk3 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).
thf(35,plain,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk3 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(36,plain,
! [A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( in_environment @ A @ ( sk3 @ A ) ) ),
inference(cnf,[status(esa)],[35]) ).
thf(50,plain,
! [A: $i] :
( ~ ( environment @ A )
| ( in_environment @ A @ ( sk3 @ A ) )
| ( ( stable @ sk4 )
!= ( stable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[17,36]) ).
thf(51,plain,
( ~ ( environment @ sk4 )
| ( in_environment @ sk4 @ ( sk3 @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[50:[bind(A,$thf( sk4 ))]]) ).
thf(1,negated_conjecture,
environment @ sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).
thf(16,plain,
environment @ sk4,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(54,plain,
( ~ $true
| ( in_environment @ sk4 @ ( sk3 @ sk4 ) ) ),
inference(rewrite,[status(thm)],[51,16]) ).
thf(55,plain,
in_environment @ sk4 @ ( sk3 @ sk4 ),
inference(simp,[status(thm)],[54]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(26,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(cnf,[status(esa)],[25]) ).
thf(189,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55,26]) ).
thf(190,plain,
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[189:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).
thf(216,plain,
( ~ $true
| ~ $true
| ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(rewrite,[status(thm)],[190,16,17]) ).
thf(217,plain,
( ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(simp,[status(thm)],[216]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(24,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(60,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55,24]) ).
thf(61,plain,
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[60:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).
thf(69,plain,
( ~ $true
| ~ $true
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(rewrite,[status(thm)],[61,16,17]) ).
thf(70,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(simp,[status(thm)],[69]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).
thf(39,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(40,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) ) ),
inference(cnf,[status(esa)],[39]) ).
thf(674,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ B )
| ~ ( greater_or_equal @ B @ ( sk3 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ B ) )
| ( ( stable @ sk4 )
!= ( stable @ A ) ) ),
inference(paramod_ordered,[status(thm)],[17,40]) ).
thf(675,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(pattern_uni,[status(thm)],[674:[bind(A,$thf( sk4 ))]]) ).
thf(685,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[675]) ).
thf(2155,plain,
! [A: $i] :
( ~ $true
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(rewrite,[status(thm)],[685,16]) ).
thf(2156,plain,
! [A: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[2155]) ).
thf(2169,plain,
! [A: $i] :
( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
!= ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[70,2156]) ).
thf(2170,plain,
( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[2169:[bind(A,$thf( sk1 @ ( sk3 @ sk4 ) @ sk4 ))]]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(32,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ) ),
inference(cnf,[status(esa)],[31]) ).
thf(478,plain,
! [B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55,32]) ).
thf(479,plain,
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[478:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 ))]]) ).
thf(485,plain,
( ~ $true
| ~ $true
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(rewrite,[status(thm)],[479,16,17]) ).
thf(486,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
| ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(simp,[status(thm)],[485]) ).
thf(4,negated_conjecture,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).
thf(19,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(21,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( greater_or_equal @ ( sk5 @ A ) @ A ) ),
inference(cnf,[status(esa)],[19]) ).
thf(3,negated_conjecture,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).
thf(18,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) ),
inference(cnf,[status(esa)],[18]) ).
thf(11,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
thf(33,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(34,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(cnf,[status(esa)],[33]) ).
thf(79,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( environment @ B )
| ~ ( stable @ B )
| ~ ( in_environment @ B @ C )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ C @ B ) ) )
| ~ ( greater_or_equal @ D @ ( sk2 @ B ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ D ) )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) )
!= ( subpopulations @ first_movers @ efficient_producers @ B @ D ) ) ),
inference(paramod_ordered,[status(thm)],[20,34]) ).
thf(80,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
inference(pattern_uni,[status(thm)],[79:[bind(A,$thf( E )),bind(B,$thf( sk4 )),bind(C,$thf( C )),bind(D,$thf( sk5 @ E ))]]) ).
thf(97,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
inference(simp,[status(thm)],[80]) ).
thf(106,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ $true
| ~ $true
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
inference(rewrite,[status(thm)],[97,16,17]) ).
thf(107,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) ) ),
inference(simp,[status(thm)],[106]) ).
thf(5,negated_conjecture,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).
thf(15,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(22,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ),
inference(cnf,[status(esa)],[15]) ).
thf(41,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
!= ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) )
| ~ $true ),
inference(eqfactor_ordered,[status(thm)],[22]) ).
thf(42,plain,
! [A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
!= ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
inference(simp,[status(thm)],[41]) ).
thf(116,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ~ ( greater @ C @ ( appear @ efficient_producers @ sk4 ) )
| ( ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ B ) ) )
!= ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ C ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[107,42]) ).
thf(117,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) )
| ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[116:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).
thf(155,plain,
! [B: $i,A: $i] :
( ~ ( greater @ B @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ~ ( greater_or_equal @ ( sk5 @ B ) @ ( sk2 @ sk4 ) ) ),
inference(simp,[status(thm)],[117]) ).
thf(164,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( greater @ A @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ C @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ B )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ sk4 ) ) )
| ( ( greater_or_equal @ ( sk5 @ A ) @ A )
!= ( greater_or_equal @ ( sk5 @ C ) @ ( sk2 @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[21,155]) ).
thf(165,plain,
! [A: $i] :
( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[164:[bind(A,$thf( sk2 @ sk4 )),bind(B,$thf( B )),bind(C,$thf( sk2 @ sk4 ))]]) ).
thf(171,plain,
! [A: $i] :
( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( in_environment @ sk4 @ A )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) ) ),
inference(simp,[status(thm)],[165]) ).
thf(175,plain,
! [A: $i] :
( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ A @ sk4 ) ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[55,171]) ).
thf(176,plain,
( ~ ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[175:[bind(A,$thf( sk3 @ sk4 ))]]) ).
thf(519,plain,
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) )
| ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
!= ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[486,176]) ).
thf(520,plain,
~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[519:[]]) ).
thf(3374,plain,
( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| $false ),
inference(rewrite,[status(thm)],[2170,520]) ).
thf(3375,plain,
( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[3374]) ).
thf(3376,plain,
( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
| ( ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
!= ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[217,3375]) ).
thf(3377,plain,
greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ),
inference(pattern_uni,[status(thm)],[3376:[]]) ).
thf(3404,plain,
! [A: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) )
| ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
!= ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3377,20]) ).
thf(3405,plain,
subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[3404:[bind(A,$thf( sk2 @ sk4 ))]]) ).
thf(9,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
thf(29,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(30,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(cnf,[status(esa)],[29]) ).
thf(392,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( greater_or_equal @ ( sk1 @ B @ A ) @ B )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55,30]) ).
thf(393,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(pattern_uni,[status(thm)],[392:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 )),bind(C,$thf( C ))]]) ).
thf(410,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[393]) ).
thf(8,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
thf(27,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(28,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ~ ( in_environment @ A @ B )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) ) ),
inference(cnf,[status(esa)],[27]) ).
thf(267,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( environment @ A )
| ~ ( stable @ A )
| ( subpopulations @ first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ A @ C )
| ~ ( greater_or_equal @ C @ ( sk2 @ A ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ C ) )
| ( ( in_environment @ sk4 @ ( sk3 @ sk4 ) )
!= ( in_environment @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[55,28]) ).
thf(268,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(pattern_uni,[status(thm)],[267:[bind(A,$thf( sk4 )),bind(B,$thf( sk3 @ sk4 )),bind(C,$thf( C ))]]) ).
thf(276,plain,
! [A: $i] :
( ~ ( environment @ sk4 )
| ~ ( stable @ sk4 )
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[268]) ).
thf(4467,plain,
! [A: $i] :
( ~ $true
| ~ $true
| ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(rewrite,[status(thm)],[276,16,17]) ).
thf(4468,plain,
! [A: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[4467]) ).
thf(4515,plain,
! [A: $i] :
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ) )
!= ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3405,4468]) ).
thf(4516,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ ( greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[4515:[bind(A,$thf( sk5 @ ( sk2 @ sk4 ) ))]]) ).
thf(3426,plain,
! [A: $i] :
( ~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ A ) ) )
| ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
!= ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3377,22]) ).
thf(3427,plain,
~ ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[3426:[bind(A,$thf( sk2 @ sk4 ))]]) ).
thf(3415,plain,
! [A: $i] :
( ( greater_or_equal @ ( sk5 @ A ) @ A )
| ( ( greater @ ( sk2 @ sk4 ) @ ( appear @ efficient_producers @ sk4 ) )
!= ( greater @ A @ ( appear @ efficient_producers @ sk4 ) ) ) ),
inference(paramod_ordered,[status(thm)],[3377,21]) ).
thf(3416,plain,
greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ),
inference(pattern_uni,[status(thm)],[3415:[bind(A,$thf( sk2 @ sk4 ))]]) ).
thf(4537,plain,
( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[4516,3427,3416]) ).
thf(4538,plain,
subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ),
inference(simp,[status(thm)],[4537]) ).
thf(4550,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) )
!= ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[4538,2156]) ).
thf(4551,plain,
( ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) ) ) ),
inference(pattern_uni,[status(thm)],[4550:[bind(A,$thf( sk1 @ ( sk3 @ sk4 ) @ sk4 ))]]) ).
thf(4572,plain,
( ~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) )
| $false ),
inference(rewrite,[status(thm)],[4551,520]) ).
thf(4573,plain,
~ ( greater_or_equal @ ( sk1 @ ( sk3 @ sk4 ) @ sk4 ) @ ( sk3 @ sk4 ) ),
inference(simp,[status(thm)],[4572]) ).
thf(6825,plain,
! [A: $i] :
( ~ $true
| ~ $true
| $false
| ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(rewrite,[status(thm)],[410,16,17,4573]) ).
thf(6826,plain,
! [A: $i] :
( ~ ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A )
| ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) ) ),
inference(simp,[status(thm)],[6825]) ).
thf(6859,plain,
! [A: $i] :
( ~ ( greater_or_equal @ A @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ A ) )
| ( ( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ ( sk2 @ sk4 ) ) )
!= ( subpopulations @ first_movers @ efficient_producers @ sk4 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[3405,6826]) ).
thf(6860,plain,
( ~ ( greater_or_equal @ ( sk5 @ ( sk2 @ sk4 ) ) @ ( sk2 @ sk4 ) )
| ( greater @ zero @ ( growth_rate @ first_movers @ ( sk5 @ ( sk2 @ sk4 ) ) ) ) ),
inference(pattern_uni,[status(thm)],[6859:[bind(A,$thf( sk5 @ ( sk2 @ sk4 ) ))]]) ).
thf(6873,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[6860,3427,3416]) ).
thf(6874,plain,
$false,
inference(simp,[status(thm)],[6873]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.37 % Computer : n026.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 00:07:09 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.10/1.01 % [INFO] Parsing done (116ms).
% 1.10/1.02 % [INFO] Running in sequential loop mode.
% 1.78/1.26 % [INFO] nitpick registered as external prover.
% 1.78/1.26 % [INFO] Scanning for conjecture ...
% 2.00/1.33 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 2.00/1.36 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 2.18/1.39 % [INFO] Problem is propositional (TPTP CNF).
% 2.18/1.39 % [INFO] Type checking passed.
% 2.18/1.39 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 58.94/9.44 % [INFO] Killing All external provers ...
% 58.94/9.46 % Time passed: 8918ms (effective reasoning time: 8412ms)
% 58.94/9.46 % Axioms used in derivation (8): l11_7, mp_first_movers_negative_growth_6, mp_first_movers_negative_growth_2, mp_first_movers_negative_growth_3, mp_first_movers_negative_growth_4, l11_9, mp_first_movers_negative_growth_5, mp_first_movers_negative_growth_1
% 58.94/9.46 % No. of inferences in proof: 109
% 58.94/9.46 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8918 ms resp. 8412 ms w/o parsing
% 58.94/9.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 58.94/9.53 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------