%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT032-2 : 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 : n007.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 06:04:47 AM UTC 2026 % Result : Unsatisfiable 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT032-2 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n007.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Mon Sep 7 12:21:26 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.20/0.50 % SZS status Unsatisfiable % 0.20/0.50 % SZS output start Proof % 0.20/0.50 ( % 0.20/0.50 (declare-sort $$unsorted 0) % 0.20/0.50 (declare-const tptp.sk2 $$unsorted) % 0.20/0.50 (declare-const tptp.first_movers $$unsorted) % 0.20/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.sk1 (-> $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.efficient_producers $$unsorted) % 0.20/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.20/0.50 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.sk3 (-> $$unsorted $$unsorted)) % 0.20/0.50 (declare-const tptp.selection_favors (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.20/0.50 (define @t1 () (@var "D" $$unsorted)) % 0.20/0.50 (define @t2 () (@var "B" $$unsorted)) % 0.20/0.50 (define @t3 () (@var "C" $$unsorted)) % 0.20/0.50 (define @t4 () (@var "A" $$unsorted)) % 0.20/0.50 (define @t5 () (not (tptp.environment @t4))) % 0.20/0.50 (define @t6 () (tptp.sk1 @t4)) % 0.20/0.50 (define @t7 () (not (tptp.stable @t4))) % 0.20/0.50 (define @t8 () (@list @t4)) % 0.20/0.50 (define @t9 () (tptp.environment tptp.sk2)) % 0.20/0.50 (define @t10 () (tptp.stable tptp.sk2)) % 0.20/0.50 (define @t11 () (tptp.sk3 @t4)) % 0.20/0.50 (define @t12 () (not (tptp.in_environment tptp.sk2 @t4))) % 0.20/0.50 (define @t13 () (tptp.sk1 tptp.sk2)) % 0.20/0.50 (define @t14 () (@list @t13)) % 0.20/0.50 (define @t15 () (tptp.in_environment tptp.sk2 @t13)) % 0.20/0.50 (define @t16 () (not @t10)) % 0.20/0.50 (define @t17 () (not @t9)) % 0.20/0.50 (define @t18 () (or @t17 @t16 @t15)) % 0.20/0.50 (define @t19 () (tptp.sk3 @t13)) % 0.20/0.50 (define @t20 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk2 @t19)) % 0.20/0.50 (define @t21 () (not @t15)) % 0.20/0.50 (define @t22 () (or @t21 @t20)) % 0.20/0.50 (define @t23 () (@list false false)) % 0.20/0.50 (define @t24 () (tptp.greater_or_equal @t19 @t13)) % 0.20/0.50 (define @t25 () (or @t21 @t24)) % 0.20/0.50 (define @t26 () (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t19)) % 0.20/0.50 (define @t27 () (not @t26)) % 0.20/0.50 (define @t28 () (or @t21 @t27)) % 0.20/0.50 (define @t29 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t19) (tptp.growth_rate tptp.first_movers @t19))) % 0.20/0.50 (define @t30 () (not @t29)) % 0.20/0.50 (define @t31 () (not @t20)) % 0.20/0.50 (define @t32 () (or @t17 @t31 @t30 @t26)) % 0.20/0.50 (define @t33 () (not @t24)) % 0.20/0.50 (define @t34 () (or @t17 @t16 @t31 @t33 @t29)) % 0.20/0.50 (assume @p1 (forall (@list @t4 @t2 @t3 @t1) (or @t5 (not (tptp.subpopulations @t2 @t3 @t4 @t1)) (not (tptp.greater (tptp.growth_rate @t3 @t1) (tptp.growth_rate @t2 @t1))) (tptp.selection_favors @t3 @t2 @t1)))) % 0.20/0.50 (assume @p2 (forall @t8 (or @t5 @t7 (tptp.in_environment @t4 @t6)))) % 0.20/0.50 (assume @p3 (forall (@list @t4 @t2) (or @t5 @t7 (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t4 @t2)) (not (tptp.greater_or_equal @t2 @t6)) (tptp.greater (tptp.growth_rate tptp.efficient_producers @t2) (tptp.growth_rate tptp.first_movers @t2))))) % 0.20/0.50 (assume @p4 @t9) % 0.20/0.50 (assume @p5 @t10) % 0.20/0.50 (assume @p6 (forall @t8 (or @t12 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk2 @t11)))) % 0.20/0.50 (assume @p7 (forall @t8 (or @t12 (tptp.greater_or_equal @t11 @t4)))) % 0.20/0.50 (assume @p8 (forall @t8 (or @t12 (not (tptp.selection_favors tptp.efficient_producers tptp.first_movers @t11))))) % 0.20/0.50 (step @p9 :rule instantiate :premises (@p6) :args (@t14)) % 0.20/0.50 (step @p10 :rule instantiate :premises (@p2) :args ((@list tptp.sk2))) % 0.20/0.50 (step @p11 :rule cnf_or_pos :args (@t18)) % 0.20/0.50 (step @p12 :rule reordering :premises (@p11) :args ((or @t17 @t16 @t15 (not @t18)))) % 0.20/0.50 (step @p13 :rule chain_m_resolution :premises (@p12 @p4 @p5 @p10) :args (@t15 (@list false false false) (@list @t9 @t10 @t18))) % 0.20/0.50 (step @p14 :rule cnf_or_pos :args (@t22)) % 0.20/0.50 (step @p15 :rule reordering :premises (@p14) :args ((or @t21 @t20 (not @t22)))) % 0.20/0.50 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p9) :args (@t20 @t23 (@list @t15 @t22))) % 0.20/0.50 (step @p17 :rule instantiate :premises (@p7) :args (@t14)) % 0.20/0.50 (step @p18 :rule cnf_or_pos :args (@t25)) % 0.20/0.50 (step @p19 :rule reordering :premises (@p18) :args ((or @t21 @t24 (not @t25)))) % 0.20/0.50 (step @p20 :rule chain_m_resolution :premises (@p19 @p13 @p17) :args (@t24 @t23 (@list @t15 @t25))) % 0.20/0.50 (step @p21 :rule instantiate :premises (@p3) :args ((@list tptp.sk2 @t19))) % 0.20/0.50 (step @p22 :rule instantiate :premises (@p1) :args ((@list tptp.sk2 tptp.first_movers tptp.efficient_producers @t19))) % 0.20/0.50 (step @p23 :rule instantiate :premises (@p8) :args (@t14)) % 0.20/0.50 (step @p24 :rule cnf_or_pos :args (@t28)) % 0.20/0.50 (step @p25 :rule reordering :premises (@p24) :args ((or @t21 @t27 (not @t28)))) % 0.20/0.50 (step @p26 :rule chain_m_resolution :premises (@p25 @p13 @p23) :args (@t27 @t23 (@list @t15 @t28))) % 0.20/0.50 (step @p27 :rule cnf_or_pos :args (@t32)) % 0.20/0.50 (step @p28 :rule reordering :premises (@p27) :args ((or @t17 @t26 @t31 @t30 (not @t32)))) % 0.20/0.50 (step @p29 :rule chain_m_resolution :premises (@p28 @p4 @p26 @p16 @p22) :args (@t30 (@list false true false false) (@list @t9 @t26 @t20 @t32))) % 0.20/0.50 (step @p30 :rule cnf_or_pos :args (@t34)) % 0.20/0.50 (step @p31 :rule reordering :premises (@p30) :args ((or @t17 @t16 @t31 @t33 @t29 (not @t34)))) % 0.20/0.50 (step @p32 false :rule chain_m_resolution :premises (@p31 @p29 @p21 @p20 @p16 @p5 @p4) :args (false (@list true false false false false false) (@list @t29 @t34 @t24 @t20 @t10 @t9))) % 0.20/0.50 ) % 0.20/0.50 % SZS output end Proof % 0.20/0.50 % cvc5 exiting %------------------------------------------------------------------------------