%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT036-3 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:48 AM UTC 2026 % Result : Unsatisfiable 0.20s 0.49s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT036-3 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.35 % Computer : n008.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Mon Sep 7 12:43:38 UTC 2026 % 0.11/0.36 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.49 % SZS status Unsatisfiable % 0.20/0.49 % SZS output start Proof % 0.20/0.49 ( % 0.20/0.49 (declare-sort $$unsorted 0) % 0.20/0.49 (declare-const tptp.first_movers $$unsorted) % 0.20/0.49 (declare-const tptp.efficient_producers $$unsorted) % 0.20/0.49 (declare-const tptp.sk2 $$unsorted) % 0.20/0.49 (declare-const tptp.sk1 $$unsorted) % 0.20/0.49 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.49 (declare-const tptp.zero $$unsorted) % 0.20/0.49 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.49 (declare-const tptp.outcompetes (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.49 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.20/0.49 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.49 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.49 (define @t1 () (@var "D" $$unsorted)) % 0.20/0.49 (define @t2 () (@var "A" $$unsorted)) % 0.20/0.49 (define @t3 () (@var "B" $$unsorted)) % 0.20/0.49 (define @t4 () (@var "C" $$unsorted)) % 0.20/0.49 (define @t5 () (not (tptp.subpopulations @t3 @t4 @t2 @t1))) % 0.20/0.49 (define @t6 () (not (tptp.environment @t2))) % 0.20/0.49 (define @t7 () (@list @t2 @t3 @t4 @t1)) % 0.20/0.49 (define @t8 () (tptp.outcompetes @t4 @t3 @t1)) % 0.20/0.49 (define @t9 () (tptp.greater tptp.zero (tptp.growth_rate @t3 @t1))) % 0.20/0.49 (define @t10 () (tptp.greater_or_equal (tptp.growth_rate @t4 @t1) tptp.zero)) % 0.20/0.49 (define @t11 () (forall @t7 (or @t6 @t5 (not @t10) (not @t9) @t8))) % 0.20/0.49 (define @t12 () (not @t8)) % 0.20/0.49 (define @t13 () (tptp.environment tptp.sk1)) % 0.20/0.49 (define @t14 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 tptp.sk2)) % 0.20/0.49 (define @t15 () (tptp.greater_or_equal (tptp.growth_rate tptp.first_movers tptp.sk2) tptp.zero)) % 0.20/0.49 (define @t16 () (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers tptp.sk2))) % 0.20/0.49 (define @t17 () (tptp.subpopulations tptp.efficient_producers tptp.first_movers tptp.sk1 tptp.sk2)) % 0.20/0.49 (define @t18 () (not @t14)) % 0.20/0.49 (define @t19 () (not @t13)) % 0.20/0.49 (define @t20 () (or @t19 @t18 @t17)) % 0.20/0.49 (define @t21 () (@list false false false)) % 0.20/0.49 (define @t22 () (tptp.outcompetes tptp.first_movers tptp.efficient_producers tptp.sk2)) % 0.20/0.49 (define @t23 () (not @t22)) % 0.20/0.49 (define @t24 () (or @t19 @t18 @t23)) % 0.20/0.49 (define @t25 () (not @t16)) % 0.20/0.49 (define @t26 () (not @t15)) % 0.20/0.49 (define @t27 () (not @t17)) % 0.20/0.49 (define @t28 () (or @t19 @t27 @t26 @t25 @t22)) % 0.20/0.49 (define @t29 () (not @t28)) % 0.20/0.49 (assume @p1 (forall @t7 (or @t6 @t5 (tptp.subpopulations @t4 @t3 @t2 @t1)))) % 0.20/0.49 (assume @p2 @t11) % 0.20/0.49 (assume @p3 (forall @t7 (or @t6 @t5 @t12 @t10))) % 0.20/0.49 (assume @p4 (forall @t7 (or @t6 @t5 @t12 @t9))) % 0.20/0.49 (assume @p5 @t13) % 0.20/0.49 (assume @p6 @t14) % 0.20/0.49 (assume @p7 @t15) % 0.20/0.49 (assume @p8 @t16) % 0.20/0.49 (assume @p9 (forall (@list @t2 @t3) (or @t6 (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t2 @t3)) (not (tptp.outcompetes tptp.first_movers tptp.efficient_producers @t3))))) % 0.20/0.49 (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.sk1 tptp.first_movers tptp.efficient_producers tptp.sk2))) % 0.20/0.49 (step @p11 :rule cnf_or_pos :args (@t20)) % 0.20/0.49 (step @p12 :rule reordering :premises (@p11) :args ((or @t19 @t18 @t17 (not @t20)))) % 0.20/0.49 (step @p13 :rule chain_m_resolution :premises (@p12 @p5 @p6 @p10) :args (@t17 @t21 (@list @t13 @t14 @t20))) % 0.20/0.49 (step @p14 :rule instantiate :premises (@p9) :args ((@list tptp.sk1 tptp.sk2))) % 0.20/0.49 (step @p15 :rule cnf_or_pos :args (@t24)) % 0.20/0.49 (step @p16 :rule reordering :premises (@p15) :args ((or @t19 @t18 @t23 (not @t24)))) % 0.20/0.49 (step @p17 :rule chain_m_resolution :premises (@p16 @p5 @p6 @p14) :args (@t23 @t21 (@list @t13 @t14 @t24))) % 0.20/0.49 (step @p18 :rule cnf_or_pos :args (@t28)) % 0.20/0.49 (step @p19 :rule reordering :premises (@p18) :args ((or @t19 @t26 @t25 @t22 @t27 @t29))) % 0.20/0.49 (step @p20 :rule chain_m_resolution :premises (@p19 @p5 @p7 @p8 @p17 @p13) :args (@t29 (@list false false false true false) (@list @t13 @t15 @t16 @t22 @t17))) % 0.20/0.49 (assume-push @p27 @t11) % 0.20/0.49 (step @p22 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.efficient_producers tptp.first_movers tptp.sk2))) % 0.20/0.49 (step-pop @p28 :rule scope :premises (@p22)) % 0.20/0.49 (step @p23 :rule process_scope :premises (@p28) :args (@t28)) % 0.20/0.49 (step @p25 :rule implies_elim :premises (@p23)) % 0.20/0.49 (step @p26 false :rule chain_m_resolution :premises (@p25 @p20 @p2) :args (false (@list true false) (@list @t28 @t11))) % 0.20/0.49 ) % 0.20/0.49 % SZS output end Proof % 0.20/0.50 % cvc5 exiting %------------------------------------------------------------------------------