%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT023-1 : 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 : n005.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 06:04:44 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT023-1 : 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 % 0.10/0.36 % Computer : n005.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 12:06:50 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.43 %----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... % 0.19/0.50 % SZS status Unsatisfiable % 0.19/0.50 % SZS output start Proof % 0.19/0.50 ( % 0.19/0.50 (declare-sort $$unsorted 0) % 0.19/0.50 (declare-const tptp.sk3 $$unsorted) % 0.19/0.50 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.growth_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.50 (declare-const tptp.stable (-> $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.50 (declare-const tptp.first_movers $$unsorted) % 0.19/0.50 (declare-const tptp.efficient_producers $$unsorted) % 0.19/0.50 (declare-const tptp.sk2 (-> $$unsorted $$unsorted)) % 0.19/0.50 (declare-const tptp.sk1 (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.50 (declare-const tptp.critical_point (-> $$unsorted $$unsorted)) % 0.19/0.50 (define @t1 () (@var "A" $$unsorted)) % 0.19/0.50 (define @t2 () (@var "B" $$unsorted)) % 0.19/0.50 (define @t3 () (= @t2 (tptp.critical_point @t1))) % 0.19/0.50 (define @t4 () (tptp.sk1 @t2 @t1)) % 0.19/0.50 (define @t5 () (not (tptp.in_environment @t1 @t2))) % 0.19/0.50 (define @t6 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t2) (tptp.growth_rate tptp.first_movers @t2))) % 0.19/0.50 (define @t7 () (not (tptp.environment @t1))) % 0.19/0.50 (define @t8 () (@list @t1 @t2)) % 0.19/0.50 (define @t9 () (forall @t8 (or @t7 @t6 @t5 (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t4) @t3))) % 0.19/0.50 (define @t10 () (forall @t8 (or @t7 @t6 @t5 (tptp.greater @t4 @t2) @t3))) % 0.19/0.50 (define @t11 () (forall @t8 (or @t7 @t6 @t5 (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t4) (tptp.growth_rate tptp.first_movers @t4))) @t3))) % 0.19/0.50 (define @t12 () (tptp.sk2 @t1)) % 0.19/0.50 (define @t13 () (not (tptp.stable @t1))) % 0.19/0.50 (define @t14 () (@list @t1)) % 0.19/0.50 (define @t15 () (forall @t8 (or @t7 @t13 (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t1 @t2)) (not (tptp.greater @t2 @t12)) @t6))) % 0.19/0.50 (define @t16 () (tptp.environment tptp.sk3)) % 0.19/0.50 (define @t17 () (tptp.stable tptp.sk3)) % 0.19/0.50 (define @t18 () (tptp.critical_point tptp.sk3)) % 0.19/0.50 (define @t19 () (tptp.in_environment tptp.sk3 @t18)) % 0.19/0.50 (define @t20 () (not @t19)) % 0.19/0.50 (define @t21 () (tptp.sk2 tptp.sk3)) % 0.19/0.50 (define @t22 () (tptp.sk1 @t21 tptp.sk3)) % 0.19/0.50 (define @t23 () (tptp.greater @t22 @t21)) % 0.19/0.50 (define @t24 () (tptp.in_environment tptp.sk3 @t21)) % 0.19/0.50 (define @t25 () (not @t24)) % 0.19/0.50 (define @t26 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t21) (tptp.growth_rate tptp.first_movers @t21))) % 0.19/0.50 (define @t27 () (not @t16)) % 0.19/0.50 (define @t28 () (= @t21 @t18)) % 0.19/0.50 (define @t29 () (or @t27 @t26 @t25 @t23 @t28)) % 0.19/0.50 (define @t30 () (@list tptp.sk3 @t21)) % 0.19/0.50 (define @t31 () (= @t18 @t21)) % 0.19/0.50 (define @t32 () (or @t27 @t26 @t25 @t23 @t31)) % 0.19/0.50 (define @t33 () (@list false)) % 0.19/0.50 (define @t34 () (@list tptp.sk3)) % 0.19/0.50 (define @t35 () (not @t17)) % 0.19/0.50 (define @t36 () (or @t27 @t35 @t24)) % 0.19/0.50 (define @t37 () (@list false false false)) % 0.19/0.50 (define @t38 () (not @t31)) % 0.19/0.50 (define @t39 () (and @t20 @t31 @t24)) % 0.19/0.50 (define @t40 () (@list true false)) % 0.19/0.50 (define @t41 () (not @t26)) % 0.19/0.50 (define @t42 () (or @t27 @t35 @t41)) % 0.19/0.50 (define @t43 () (@list false true false true false)) % 0.19/0.50 (define @t44 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk3 @t22)) % 0.19/0.50 (define @t45 () (or @t27 @t26 @t25 @t44 @t28)) % 0.19/0.50 (define @t46 () (or @t27 @t26 @t25 @t44 @t31)) % 0.19/0.50 (define @t47 () (tptp.greater (tptp.growth_rate tptp.efficient_producers @t22) (tptp.growth_rate tptp.first_movers @t22))) % 0.19/0.50 (define @t48 () (not @t47)) % 0.19/0.50 (define @t49 () (or @t27 @t26 @t25 @t48 @t28)) % 0.19/0.50 (define @t50 () (or @t27 @t26 @t25 @t48 @t31)) % 0.19/0.50 (define @t51 () (not @t23)) % 0.19/0.50 (define @t52 () (not @t44)) % 0.19/0.50 (define @t53 () (or @t27 @t35 @t52 @t51 @t47)) % 0.19/0.50 (define @t54 () (not @t53)) % 0.19/0.50 (assume @p1 @t9) % 0.19/0.50 (assume @p2 @t10) % 0.19/0.50 (assume @p3 @t11) % 0.19/0.50 (assume @p4 (forall @t14 (or @t7 @t13 (tptp.in_environment @t1 @t12)))) % 0.19/0.50 (assume @p5 (forall @t14 (or @t7 @t13 (not (tptp.greater (tptp.growth_rate tptp.efficient_producers @t12) (tptp.growth_rate tptp.first_movers @t12)))))) % 0.19/0.50 (assume @p6 @t15) % 0.19/0.50 (assume @p7 @t16) % 0.19/0.50 (assume @p8 @t17) % 0.19/0.50 (assume @p9 @t20) % 0.19/0.50 (step @p10 :rule eq-symm :args (@t21 @t18)) % 0.19/0.50 (step @p11 :rule refl :args (@t23)) % 0.19/0.50 (step @p12 :rule refl :args (@t25)) % 0.19/0.50 (step @p13 :rule refl :args (@t26)) % 0.19/0.50 (step @p14 :rule refl :args (@t27)) % 0.19/0.50 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p11 @p10) :args (@t29)) % 0.19/0.50 (step @p16 :rule refl :args (@t10)) % 0.19/0.50 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t10 @t29))) % 0.19/0.50 (assume-push @p105 @t10) % 0.19/0.50 (step @p19 :rule instantiate :premises (@p2) :args (@t30)) % 0.19/0.50 (step-pop @p106 :rule scope :premises (@p19)) % 0.19/0.50 (step @p20 :rule process_scope :premises (@p106) :args (@t29)) % 0.19/0.50 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.19/0.50 (step @p23 :rule implies_elim :premises (@p22)) % 0.19/0.50 (step @p24 :rule chain_m_resolution :premises (@p23 @p2) :args (@t32 @t33 (@list @t10))) % 0.19/0.50 (step @p25 :rule instantiate :premises (@p4) :args (@t34)) % 0.19/0.50 (step @p26 :rule cnf_or_pos :args (@t36)) % 0.19/0.50 (step @p27 :rule reordering :premises (@p26) :args ((or @t27 @t35 @t24 (not @t36)))) % 0.19/0.50 (step @p28 :rule chain_m_resolution :premises (@p27 @p7 @p8 @p25) :args (@t24 @t37 (@list @t16 @t17 @t36))) % 0.19/0.50 (step @p29 :rule refl :args (@t38)) % 0.19/0.50 (step @p30 :rule bool-double-not-elim :args (@t19)) % 0.19/0.50 (step @p31 :rule nary_cong :premises (@p30 @p12 @p29) :args ((or (not @t20) @t25 @t38))) % 0.19/0.50 (assume-push @p107 @t20) % 0.19/0.50 (assume-push @p108 @t31) % 0.19/0.50 (assume-push @p109 @t24) % 0.19/0.50 (step @p35 :rule evaluate :args ((= true false))) % 0.19/0.50 (step @p36 :rule false_intro :premises (@p9)) % 0.19/0.50 (step @p37 :rule symm :premises (@p108)) % 0.19/0.50 (step @p38 :rule refl :args (tptp.sk3)) % 0.19/0.50 (step @p39 :rule cong :premises (@p38 @p37) :args (@t24)) % 0.19/0.50 (step @p40 :rule true_intro :premises (@p28)) % 0.19/0.50 (step @p41 :rule symm :premises (@p40)) % 0.19/0.50 (step @p42 :rule trans :premises (@p41 @p39 @p36)) % 0.19/0.50 (step @p43 false :rule eq_resolve :premises (@p42 @p35)) % 0.19/0.50 (step-pop @p110 :rule scope :premises (@p43)) % 0.19/0.50 (step-pop @p111 :rule scope :premises (@p110)) % 0.19/0.50 (step-pop @p112 :rule scope :premises (@p111)) % 0.19/0.50 (step @p44 :rule process_scope :premises (@p112) :args (false)) % 0.19/0.50 (assume-push @p113 @t20) % 0.19/0.50 (assume-push @p114 @t24) % 0.19/0.50 (assume-push @p115 @t31) % 0.19/0.50 (step @p51 :rule and_intro :premises (@p9 @p115 @p28)) % 0.19/0.50 (step-pop @p116 :rule scope :premises (@p51)) % 0.19/0.50 (step-pop @p117 :rule scope :premises (@p116)) % 0.19/0.50 (step-pop @p118 :rule scope :premises (@p117)) % 0.19/0.50 (step @p52 :rule process_scope :premises (@p118) :args (@t39)) % 0.19/0.50 (step @p56 :rule implies_elim :premises (@p52)) % 0.19/0.50 (step @p57 :rule resolution :premises (@p56 @p44) :args (true @t39)) % 0.19/0.50 (step @p58 :rule not_and :premises (@p57)) % 0.19/0.50 (step @p59 :rule eq_resolve :premises (@p58 @p31)) % 0.19/0.50 (step @p60 :rule chain_m_resolution :premises (@p59 @p9 @p28) :args (@t38 @t40 (@list @t19 @t24))) % 0.19/0.50 (step @p61 :rule instantiate :premises (@p5) :args (@t34)) % 0.19/0.50 (step @p62 :rule cnf_or_pos :args (@t42)) % 0.19/0.50 (step @p63 :rule reordering :premises (@p62) :args ((or @t27 @t35 @t41 (not @t42)))) % 0.19/0.50 (step @p64 :rule chain_m_resolution :premises (@p63 @p7 @p8 @p61) :args (@t41 @t37 (@list @t16 @t17 @t42))) % 0.19/0.50 (step @p65 :rule cnf_or_pos :args (@t32)) % 0.19/0.50 (step @p66 :rule reordering :premises (@p65) :args ((or @t27 @t26 @t25 @t31 @t23 (not @t32)))) % 0.19/0.50 (step @p67 :rule chain_m_resolution :premises (@p66 @p7 @p64 @p28 @p60 @p24) :args (@t23 @t43 (@list @t16 @t26 @t24 @t31 @t32))) % 0.19/0.50 (step @p68 :rule refl :args (@t44)) % 0.19/0.50 (step @p69 :rule nary_cong :premises (@p14 @p13 @p12 @p68 @p10) :args (@t45)) % 0.19/0.50 (step @p70 :rule refl :args (@t9)) % 0.19/0.50 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t9 @t45))) % 0.19/0.50 (assume-push @p119 @t9) % 0.19/0.50 (step @p73 :rule instantiate :premises (@p1) :args (@t30)) % 0.19/0.50 (step-pop @p120 :rule scope :premises (@p73)) % 0.19/0.50 (step @p74 :rule process_scope :premises (@p120) :args (@t45)) % 0.19/0.50 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.19/0.50 (step @p77 :rule implies_elim :premises (@p76)) % 0.19/0.50 (step @p78 :rule chain_m_resolution :premises (@p77 @p1) :args (@t46 @t33 (@list @t9))) % 0.19/0.50 (step @p79 :rule cnf_or_pos :args (@t46)) % 0.19/0.50 (step @p80 :rule reordering :premises (@p79) :args ((or @t27 @t26 @t25 @t44 @t31 (not @t46)))) % 0.19/0.50 (step @p81 :rule chain_m_resolution :premises (@p80 @p7 @p64 @p28 @p60 @p78) :args (@t44 @t43 (@list @t16 @t26 @t24 @t31 @t46))) % 0.19/0.50 (step @p82 :rule refl :args (@t48)) % 0.19/0.50 (step @p83 :rule nary_cong :premises (@p14 @p13 @p12 @p82 @p10) :args (@t49)) % 0.19/0.50 (step @p84 :rule refl :args (@t11)) % 0.19/0.50 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t11 @t49))) % 0.19/0.50 (assume-push @p121 @t11) % 0.19/0.50 (step @p87 :rule instantiate :premises (@p3) :args (@t30)) % 0.19/0.50 (step-pop @p122 :rule scope :premises (@p87)) % 0.19/0.50 (step @p88 :rule process_scope :premises (@p122) :args (@t49)) % 0.19/0.50 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.19/0.50 (step @p91 :rule implies_elim :premises (@p90)) % 0.19/0.50 (step @p92 :rule chain_m_resolution :premises (@p91 @p3) :args (@t50 @t33 (@list @t11))) % 0.19/0.50 (step @p93 :rule cnf_or_pos :args (@t50)) % 0.19/0.50 (step @p94 :rule reordering :premises (@p93) :args ((or @t27 @t26 @t25 @t31 @t48 (not @t50)))) % 0.19/0.50 (step @p95 :rule chain_m_resolution :premises (@p94 @p7 @p64 @p28 @p60 @p92) :args (@t48 @t43 (@list @t16 @t26 @t24 @t31 @t50))) % 0.19/0.50 (step @p96 :rule cnf_or_pos :args (@t53)) % 0.19/0.50 (step @p97 :rule reordering :premises (@p96) :args ((or @t27 @t35 @t47 @t52 @t51 @t54))) % 0.19/0.50 (step @p98 :rule chain_m_resolution :premises (@p97 @p7 @p8 @p95 @p81 @p67) :args (@t54 (@list false false true false false) (@list @t16 @t17 @t47 @t44 @t23))) % 0.19/0.50 (assume-push @p123 @t15) % 0.19/0.50 (step @p100 :rule instantiate :premises (@p6) :args ((@list tptp.sk3 @t22))) % 0.19/0.50 (step-pop @p124 :rule scope :premises (@p100)) % 0.19/0.50 (step @p101 :rule process_scope :premises (@p124) :args (@t53)) % 0.19/0.50 (step @p103 :rule implies_elim :premises (@p101)) % 0.19/0.50 (step @p104 false :rule chain_m_resolution :premises (@p103 @p98 @p6) :args (false @t40 (@list @t53 @t15))) % 0.19/0.50 ) % 0.19/0.50 % SZS output end Proof % 0.19/0.50 % cvc5 exiting %------------------------------------------------------------------------------