%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n029.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 : Wed May 29 17:29:22 EDT 2024

% Result   : Unsatisfiable 0.34s 0.54s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 26 10:39:54 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.34/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.N2epzPdSyn/cvc5---1.0.5_24613.smt2
% 0.34/0.54  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.N2epzPdSyn/cvc5---1.0.5_24613.smt2
% 0.34/0.55  (assume a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (assume a1 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (assume a2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (assume a3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (assume a4 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (assume a5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (assume a6 (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))))
% 0.34/0.55  (assume a7 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater (tptp.growth_rate tptp.efficient_producers B) tptp.zero))))
% 0.34/0.55  (assume a8 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))))
% 0.34/0.55  (assume a9 (tptp.environment tptp.sk4))
% 0.34/0.55  (assume a10 (tptp.stable tptp.sk4))
% 0.34/0.55  (assume a11 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))))
% 0.34/0.55  (assume a12 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))))
% 0.34/0.55  (assume a13 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))))
% 0.34/0.55  (step t1 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) :rule or_pos)
% 0.34/0.55  (step t2 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))))) :rule reordering :premises (t1))
% 0.34/0.55  (step t3 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t4)
% 0.34/0.55  (assume t4.a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))))
% 0.34/0.55  (step t4.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))
% 0.34/0.55  (step t4.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule or :premises (t4.t1))
% 0.34/0.55  (step t4.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule resolution :premises (t4.t2 t4.a0))
% 0.34/0.55  (step t4 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule subproof :discharge (t4.a0))
% 0.34/0.55  (step t5 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule resolution :premises (t3 t4))
% 0.34/0.55  (step t6 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))))) :rule implies_neg2)
% 0.34/0.55  (step t7 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))))) :rule resolution :premises (t5 t6))
% 0.34/0.55  (step t8 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))))) :rule contraction :premises (t7))
% 0.34/0.55  (step t9 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk3 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule implies :premises (t8))
% 0.34/0.55  (step t10 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) (not (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))))) :rule resolution :premises (t9 a8))
% 0.34/0.55  (step t11 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule or_pos)
% 0.34/0.55  (step t12 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule reordering :premises (t11))
% 0.34/0.55  (step t13 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t14)
% 0.34/0.55  (assume t14.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (step t14.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4)) (:= C (tptp.sk5 (tptp.sk2 tptp.sk4)))))
% 0.34/0.55  (step t14.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule or :premises (t14.t1))
% 0.34/0.55  (step t14.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t14.t2 t14.a0))
% 0.34/0.55  (step t14 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule subproof :discharge (t14.a0))
% 0.34/0.55  (step t15 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t13 t14))
% 0.34/0.55  (step t16 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule implies_neg2)
% 0.34/0.55  (step t17 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t15 t16))
% 0.34/0.55  (step t18 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule contraction :premises (t17))
% 0.34/0.55  (step t19 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule implies :premises (t18))
% 0.34/0.55  (step t20 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t19 a2))
% 0.34/0.55  (step t21 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) :rule or_pos)
% 0.34/0.55  (step t22 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))))) :rule reordering :premises (t21))
% 0.34/0.55  (step t23 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t24)
% 0.34/0.55  (assume t24.a0 (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))))
% 0.34/0.55  (step t24.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))))) :rule forall_inst :args ((:= A tptp.sk4)))
% 0.34/0.55  (step t24.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule or :premises (t24.t1))
% 0.34/0.55  (step t24.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule resolution :premises (t24.t2 t24.a0))
% 0.34/0.55  (step t24 (cl (not (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule subproof :discharge (t24.a0))
% 0.34/0.55  (step t25 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule resolution :premises (t23 t24))
% 0.34/0.55  (step t26 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))))) :rule implies_neg2)
% 0.34/0.55  (step t27 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))))) :rule resolution :premises (t25 t26))
% 0.34/0.55  (step t28 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))))) :rule contraction :premises (t27))
% 0.34/0.55  (step t29 (cl (not (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk3 A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule implies :premises (t28))
% 0.34/0.55  (step t30 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4)))) :rule resolution :premises (t29 a6))
% 0.34/0.55  (step t31 (cl (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) :rule resolution :premises (t22 a9 a10 t30))
% 0.34/0.55  (step t32 (cl (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule or_pos)
% 0.34/0.55  (step t33 (cl (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))))) :rule reordering :premises (t32))
% 0.34/0.55  (step t34 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A))))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t35)
% 0.34/0.55  (assume t35.a0 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))))
% 0.34/0.55  (step t35.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A))))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))))) :rule forall_inst :args ((:= A (tptp.sk2 tptp.sk4))))
% 0.34/0.55  (step t35.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A))))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule or :premises (t35.t1))
% 0.34/0.55  (step t35.t3 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t35.t2 t35.a0))
% 0.34/0.55  (step t35 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A))))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule subproof :discharge (t35.a0))
% 0.34/0.55  (step t36 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t34 t35))
% 0.34/0.55  (step t37 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))))) :rule implies_neg2)
% 0.34/0.55  (step t38 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))))) :rule resolution :premises (t36 t37))
% 0.34/0.55  (step t39 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A)))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))))) :rule contraction :premises (t38))
% 0.34/0.55  (step t40 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 A))))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule implies :premises (t39))
% 0.34/0.55  (step t41 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t40 a13))
% 0.34/0.55  (step t42 (cl (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) :rule or_pos)
% 0.34/0.55  (step t43 (cl (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))))) :rule reordering :premises (t42))
% 0.34/0.55  (step t44 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A)))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t45)
% 0.34/0.55  (assume t45.a0 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))))
% 0.34/0.55  (step t45.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))))) :rule forall_inst :args ((:= A (tptp.sk2 tptp.sk4))))
% 0.34/0.55  (step t45.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule or :premises (t45.t1))
% 0.34/0.55  (step t45.t3 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule resolution :premises (t45.t2 t45.a0))
% 0.34/0.55  (step t45 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule subproof :discharge (t45.a0))
% 0.34/0.55  (step t46 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule resolution :premises (t44 t45))
% 0.34/0.55  (step t47 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))))) :rule implies_neg2)
% 0.34/0.55  (step t48 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))))) :rule resolution :premises (t46 t47))
% 0.34/0.55  (step t49 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))))) :rule contraction :premises (t48))
% 0.34/0.55  (step t50 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 A) A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule implies :premises (t49))
% 0.34/0.55  (step t51 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule resolution :premises (t50 a12))
% 0.34/0.55  (step t52 (cl (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) :rule or_pos)
% 0.34/0.55  (step t53 (cl (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule reordering :premises (t52))
% 0.34/0.55  (step t54 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t55)
% 0.34/0.55  (assume t55.a0 (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))))
% 0.34/0.55  (step t55.t1 (cl (or (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule forall_inst :args ((:= A (tptp.sk2 tptp.sk4))))
% 0.34/0.55  (step t55.t2 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule or :premises (t55.t1))
% 0.34/0.55  (step t55.t3 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule resolution :premises (t55.t2 t55.a0))
% 0.34/0.55  (step t55 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule subproof :discharge (t55.a0))
% 0.34/0.55  (step t56 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule resolution :premises (t54 t55))
% 0.34/0.55  (step t57 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) (not (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule implies_neg2)
% 0.34/0.55  (step t58 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t56 t57))
% 0.34/0.55  (step t59 (cl (=> (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A)))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule contraction :premises (t58))
% 0.34/0.55  (step t60 (cl (not (forall ((A $$unsorted)) (or (not (tptp.greater A (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 A))))) (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule implies :premises (t59))
% 0.34/0.55  (step t61 (cl (or (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule resolution :premises (t60 a11))
% 0.34/0.55  (step t62 (cl (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t12 t20 t31 a10 a9 t33 t41 t43 t51 t53 t61))
% 0.34/0.55  (step t63 (cl (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (not (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule contraction :premises (t62))
% 0.34/0.55  (step t64 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) :rule or_pos)
% 0.34/0.55  (step t65 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule reordering :premises (t64))
% 0.34/0.55  (step t66 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t67)
% 0.34/0.55  (assume t67.a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (step t67.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4))))
% 0.34/0.55  (step t67.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule or :premises (t67.t1))
% 0.34/0.55  (step t67.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t67.t2 t67.a0))
% 0.34/0.55  (step t67 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule subproof :discharge (t67.a0))
% 0.34/0.55  (step t68 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t66 t67))
% 0.34/0.55  (step t69 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule implies_neg2)
% 0.34/0.55  (step t70 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule resolution :premises (t68 t69))
% 0.34/0.55  (step t71 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule contraction :premises (t70))
% 0.34/0.55  (step t72 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers A (tptp.sk1 B A)) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule implies :premises (t71))
% 0.34/0.55  (step t73 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t72 a0))
% 0.34/0.55  (step t74 (cl (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) :rule resolution :premises (t63 t65 t73 t31 a10 a9))
% 0.34/0.55  (step t75 (cl (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4))) :rule contraction :premises (t74))
% 0.34/0.55  (step t76 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule or_pos)
% 0.34/0.55  (step t77 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule reordering :premises (t76))
% 0.34/0.55  (step t78 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t79)
% 0.34/0.55  (assume t79.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (step t79.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4)) (:= C (tptp.sk5 (tptp.sk2 tptp.sk4)))))
% 0.34/0.55  (step t79.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule or :premises (t79.t1))
% 0.34/0.55  (step t79.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t79.t2 t79.a0))
% 0.34/0.55  (step t79 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule subproof :discharge (t79.a0))
% 0.34/0.55  (step t80 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t78 t79))
% 0.34/0.55  (step t81 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule implies_neg2)
% 0.34/0.55  (step t82 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t80 t81))
% 0.34/0.55  (step t83 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule contraction :premises (t82))
% 0.34/0.55  (step t84 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule implies :premises (t83))
% 0.34/0.55  (step t85 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t84 a5))
% 0.34/0.55  (step t86 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))) :rule or_pos)
% 0.34/0.55  (step t87 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule reordering :premises (t86))
% 0.34/0.55  (step t88 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t89)
% 0.34/0.55  (assume t89.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))))
% 0.34/0.55  (step t89.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4)) (:= C (tptp.sk5 (tptp.sk2 tptp.sk4)))))
% 0.34/0.55  (step t89.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule or :premises (t89.t1))
% 0.34/0.55  (step t89.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t89.t2 t89.a0))
% 0.34/0.55  (step t89 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule subproof :discharge (t89.a0))
% 0.34/0.55  (step t90 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t88 t89))
% 0.34/0.55  (step t91 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule implies_neg2)
% 0.34/0.55  (step t92 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule resolution :premises (t90 t91))
% 0.34/0.55  (step t93 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4))))))) :rule contraction :premises (t92))
% 0.34/0.55  (step t94 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A C)) (not (tptp.greater_or_equal C (tptp.sk2 A))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers C))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule implies :premises (t93))
% 0.34/0.55  (step t95 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t94 a3))
% 0.34/0.55  (step t96 (cl (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule resolution :premises (t2 t10 t75 a10 a9 t77 t85 t31 a10 a9 t87 t95 t31 a10 a9))
% 0.34/0.55  (step t97 (cl (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) (not (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4)))) :rule contraction :premises (t96))
% 0.34/0.55  (step t98 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) :rule or_pos)
% 0.34/0.55  (step t99 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule reordering :premises (t98))
% 0.34/0.55  (step t100 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t101)
% 0.34/0.55  (assume t101.a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (step t101.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4))))
% 0.34/0.55  (step t101.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule or :premises (t101.t1))
% 0.34/0.55  (step t101.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t101.t2 t101.a0))
% 0.34/0.55  (step t101 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule subproof :discharge (t101.a0))
% 0.34/0.55  (step t102 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t100 t101))
% 0.34/0.55  (step t103 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule implies_neg2)
% 0.34/0.55  (step t104 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule resolution :premises (t102 t103))
% 0.34/0.55  (step t105 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule contraction :premises (t104))
% 0.34/0.55  (step t106 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 B A)))) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule implies :premises (t105))
% 0.34/0.55  (step t107 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4)))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t106 a4))
% 0.34/0.55  (step t108 (cl (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) :rule or_pos)
% 0.34/0.55  (step t109 (cl (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule reordering :premises (t108))
% 0.34/0.55  (step t110 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) :rule implies_neg1)
% 0.34/0.55  (anchor :step t111)
% 0.34/0.55  (assume t111.a0 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))))
% 0.34/0.55  (step t111.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule forall_inst :args ((:= A tptp.sk4) (:= B (tptp.sk3 tptp.sk4))))
% 0.34/0.55  (step t111.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule or :premises (t111.t1))
% 0.34/0.55  (step t111.t3 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t111.t2 t111.a0))
% 0.34/0.55  (step t111 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule subproof :discharge (t111.a0))
% 0.34/0.55  (step t112 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t110 t111))
% 0.34/0.55  (step t113 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (not (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule implies_neg2)
% 0.34/0.55  (step t114 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule resolution :premises (t112 t113))
% 0.34/0.55  (step t115 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A)))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))))) :rule contraction :premises (t114))
% 0.34/0.55  (step t116 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal (tptp.sk1 B A) B) (tptp.greater (tptp.sk2 A) (tptp.appear tptp.efficient_producers A))))) (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule implies :premises (t115))
% 0.34/0.55  (step t117 (cl (or (not (tptp.environment tptp.sk4)) (not (tptp.stable tptp.sk4)) (not (tptp.in_environment tptp.sk4 (tptp.sk3 tptp.sk4))) (tptp.greater_or_equal (tptp.sk1 (tptp.sk3 tptp.sk4) tptp.sk4) (tptp.sk3 tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)))) :rule resolution :premises (t116 a1))
% 0.34/0.55  (step t118 (cl (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4)) (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) :rule resolution :premises (t2 t10 t75 a10 a9 t99 t107 t31 a10 a9 t109 t117 t31 a10 a9))
% 0.34/0.55  (step t119 (cl (tptp.greater (tptp.sk2 tptp.sk4) (tptp.appear tptp.efficient_producers tptp.sk4))) :rule contraction :premises (t118))
% 0.34/0.55  (step t120 (cl (tptp.greater_or_equal (tptp.sk5 (tptp.sk2 tptp.sk4)) (tptp.sk2 tptp.sk4))) :rule resolution :premises (t43 t119 t51))
% 0.34/0.55  (step t121 (cl (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk4 (tptp.sk5 (tptp.sk2 tptp.sk4)))) :rule resolution :premises (t53 t119 t61))
% 0.34/0.55  (step t122 (cl (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers (tptp.sk5 (tptp.sk2 tptp.sk4)))))) :rule resolution :premises (t33 t119 t41))
% 0.34/0.55  (step t123 (cl) :rule resolution :premises (t97 t120 t121 t122))
% 0.34/0.55  
% 0.34/0.55  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.N2epzPdSyn/cvc5---1.0.5_24613.smt2
% 0.34/0.56  % cvc5---1.0.5 exiting
% 0.34/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------