%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT020-1 : 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 : n002.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 0.22s 0.53s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT020-1 : 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 % 0.12/0.38 % Computer : n002.cluster.edu % 0.12/0.38 % Model : x86_64 x86_64 % 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.38 % Memory : 8046.5625MB % 0.12/0.38 % OS : Linux 6.8.0-71-generic % 0.12/0.38 % CPULimit : 300 % 0.12/0.38 % WCLimit : 300 % 0.12/0.38 % DateTime : Mon Sep 7 12:04:52 UTC 2026 % 0.12/0.38 % CPUTime : % 0.12/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.53 % SZS status Unsatisfiable % 0.22/0.53 % SZS output start Proof % 0.22/0.54 ( % 0.22/0.54 (declare-sort $$unsorted 0) % 0.22/0.54 (declare-const tptp.efficient_producers $$unsorted) % 0.22/0.54 (declare-const tptp.sk2 $$unsorted) % 0.22/0.54 (declare-const tptp.disbanding_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.54 (declare-const tptp.initial_FM_EP (-> $$unsorted $$unsorted)) % 0.22/0.54 (declare-const tptp.first_movers $$unsorted) % 0.22/0.54 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.54 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.in_environment (-> $$unsorted $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.sk1 $$unsorted) % 0.22/0.54 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.22/0.54 (declare-const tptp.start_time (-> $$unsorted $$unsorted)) % 0.22/0.54 (define @t1 () (@var "B" $$unsorted)) % 0.22/0.54 (define @t2 () (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers @t1) (tptp.disbanding_rate tptp.efficient_producers @t1)))) % 0.22/0.54 (define @t3 () (@var "A" $$unsorted)) % 0.22/0.54 (define @t4 () (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t3 @t1))) % 0.22/0.54 (define @t5 () (not (tptp.environment @t3))) % 0.22/0.54 (define @t6 () (@list @t3 @t1)) % 0.22/0.54 (define @t7 () (forall @t6 (or @t5 @t4 (not @t2)))) % 0.22/0.54 (define @t8 () (tptp.initial_FM_EP @t3)) % 0.22/0.54 (define @t9 () (@list @t3)) % 0.22/0.54 (define @t10 () (@var "D" $$unsorted)) % 0.22/0.54 (define @t11 () (@var "C" $$unsorted)) % 0.22/0.54 (define @t12 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t3 @t10)) % 0.22/0.54 (define @t13 () (not (tptp.greater_or_equal @t10 @t1))) % 0.22/0.54 (define @t14 () (@list @t3 @t1 @t11 @t10)) % 0.22/0.54 (define @t15 () (tptp.in_environment @t3 @t1)) % 0.22/0.54 (define @t16 () (tptp.start_time @t3)) % 0.22/0.54 (define @t17 () (@list @t3 @t1 @t11)) % 0.22/0.54 (define @t18 () (tptp.greater @t3 @t1)) % 0.22/0.54 (define @t19 () (tptp.environment tptp.sk1)) % 0.22/0.54 (define @t20 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 tptp.sk2)) % 0.22/0.54 (define @t21 () (tptp.greater (tptp.disbanding_rate tptp.first_movers tptp.sk2) (tptp.disbanding_rate tptp.efficient_producers tptp.sk2))) % 0.22/0.54 (define @t22 () (tptp.initial_FM_EP tptp.sk1)) % 0.22/0.54 (define @t23 () (@list tptp.sk1 @t22)) % 0.22/0.54 (define @t24 () (@list tptp.sk1)) % 0.22/0.54 (define @t25 () (@list tptp.sk1 tptp.sk2)) % 0.22/0.54 (define @t26 () (tptp.in_environment tptp.sk1 tptp.sk2)) % 0.22/0.54 (define @t27 () (not @t20)) % 0.22/0.54 (define @t28 () (not @t19)) % 0.22/0.54 (define @t29 () (or @t28 @t27 @t26)) % 0.22/0.54 (define @t30 () (@list false false false)) % 0.22/0.54 (define @t31 () (tptp.greater_or_equal @t22 (tptp.start_time tptp.sk1))) % 0.22/0.54 (define @t32 () (or @t28 @t31)) % 0.22/0.54 (define @t33 () (@list false false)) % 0.22/0.54 (define @t34 () (tptp.in_environment tptp.sk1 @t22)) % 0.22/0.54 (define @t35 () (not @t26)) % 0.22/0.54 (define @t36 () (tptp.greater tptp.sk2 @t22)) % 0.22/0.54 (define @t37 () (not @t36)) % 0.22/0.54 (define @t38 () (not @t31)) % 0.22/0.54 (define @t39 () (or @t28 @t38 @t37 @t35 @t34)) % 0.22/0.54 (define @t40 () (tptp.greater_or_equal tptp.sk2 @t22)) % 0.22/0.54 (define @t41 () (or @t28 @t27 @t40)) % 0.22/0.54 (define @t42 () (= tptp.sk2 @t22)) % 0.22/0.54 (define @t43 () (not @t40)) % 0.22/0.54 (define @t44 () (or @t43 @t36 @t42)) % 0.22/0.54 (define @t45 () (not @t42)) % 0.22/0.54 (define @t46 () (not @t34)) % 0.22/0.54 (define @t47 () (and @t26 @t42 @t46)) % 0.22/0.54 (define @t48 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 @t22)) % 0.22/0.54 (define @t49 () (or @t28 @t46 @t48)) % 0.22/0.54 (define @t50 () (tptp.greater_or_equal @t22 @t22)) % 0.22/0.54 (define @t51 () (not @t48)) % 0.22/0.54 (define @t52 () (or @t28 @t51 @t50)) % 0.22/0.54 (define @t53 () (tptp.disbanding_rate tptp.efficient_producers @t22)) % 0.22/0.54 (define @t54 () (tptp.disbanding_rate tptp.first_movers @t22)) % 0.22/0.54 (define @t55 () (tptp.greater @t54 @t53)) % 0.22/0.54 (define @t56 () (or @t28 @t55)) % 0.22/0.54 (define @t57 () (tptp.decreases (tptp.difference @t54 @t53))) % 0.22/0.54 (define @t58 () (not @t55)) % 0.22/0.54 (define @t59 () (not @t50)) % 0.22/0.54 (define @t60 () (or @t28 @t59 @t43 @t27 @t58 @t57 @t21)) % 0.22/0.54 (define @t61 () (not @t57)) % 0.22/0.54 (define @t62 () (or @t28 @t51 @t61)) % 0.22/0.54 (define @t63 () (not @t62)) % 0.22/0.54 (assume @p1 @t7) % 0.22/0.54 (assume @p2 (forall @t9 (or @t5 (not (tptp.in_environment @t3 @t8)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t3 @t8)))) % 0.22/0.54 (assume @p3 (forall @t6 (or @t5 @t4 (tptp.greater_or_equal @t1 @t8)))) % 0.22/0.54 (assume @p4 (forall @t14 (or @t5 (not (tptp.greater_or_equal @t1 @t11)) @t13 (not @t12) (not (tptp.greater (tptp.disbanding_rate tptp.first_movers @t11) (tptp.disbanding_rate tptp.efficient_producers @t11))) @t2 (tptp.greater (tptp.disbanding_rate tptp.first_movers @t10) (tptp.disbanding_rate tptp.efficient_producers @t10))))) % 0.22/0.54 (assume @p5 (forall @t6 (or @t5 @t4 @t15))) % 0.22/0.54 (assume @p6 (forall @t9 (or @t5 (tptp.greater_or_equal @t8 @t16)))) % 0.22/0.54 (assume @p7 (forall @t17 (or @t5 (not (tptp.greater_or_equal @t1 @t16)) (not (tptp.greater @t11 @t1)) (not (tptp.in_environment @t3 @t11)) @t15))) % 0.22/0.54 (assume @p8 (forall @t17 (or (not @t18) (not (tptp.greater @t1 @t11)) (tptp.greater @t3 @t11)))) % 0.22/0.54 (assume @p9 (forall @t6 (or (not (tptp.greater_or_equal @t3 @t1)) @t18 (= @t3 @t1)))) % 0.22/0.54 (assume @p10 (forall @t9 (or @t5 (tptp.greater (tptp.disbanding_rate tptp.first_movers @t8) (tptp.disbanding_rate tptp.efficient_producers @t8))))) % 0.22/0.54 (assume @p11 (forall @t14 (or @t5 @t4 (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t3 @t11)) @t13 (not (tptp.greater_or_equal @t11 @t10)) @t12))) % 0.22/0.54 (assume @p12 @t19) % 0.22/0.54 (assume @p13 @t20) % 0.22/0.54 (assume @p14 (not @t21)) % 0.22/0.54 (step @p15 :rule instantiate :premises (@p4) :args ((@list tptp.sk1 @t22 @t22 tptp.sk2))) % 0.22/0.54 (step @p16 :rule instantiate :premises (@p3) :args (@t23)) % 0.22/0.54 (step @p17 :rule instantiate :premises (@p2) :args (@t24)) % 0.22/0.54 (step @p18 :rule instantiate :premises (@p5) :args (@t25)) % 0.22/0.54 (step @p19 :rule cnf_or_pos :args (@t29)) % 0.22/0.54 (step @p20 :rule reordering :premises (@p19) :args ((or @t28 @t27 @t26 (not @t29)))) % 0.22/0.54 (step @p21 :rule chain_m_resolution :premises (@p20 @p12 @p13 @p18) :args (@t26 @t30 (@list @t19 @t20 @t29))) % 0.22/0.54 (step @p22 :rule instantiate :premises (@p6) :args (@t24)) % 0.22/0.54 (step @p23 :rule cnf_or_pos :args (@t32)) % 0.22/0.54 (step @p24 :rule reordering :premises (@p23) :args ((or @t28 @t31 (not @t32)))) % 0.22/0.54 (step @p25 :rule chain_m_resolution :premises (@p24 @p12 @p22) :args (@t31 @t33 (@list @t19 @t32))) % 0.22/0.54 (step @p26 :rule instantiate :premises (@p7) :args ((@list tptp.sk1 @t22 tptp.sk2))) % 0.22/0.54 (step @p27 :rule cnf_or_pos :args (@t39)) % 0.22/0.54 (step @p28 :rule reordering :premises (@p27) :args ((or @t28 @t34 @t35 @t38 @t37 (not @t39)))) % 0.22/0.54 (step @p29 :rule instantiate :premises (@p3) :args (@t25)) % 0.22/0.54 (step @p30 :rule cnf_or_pos :args (@t41)) % 0.22/0.54 (step @p31 :rule reordering :premises (@p30) :args ((or @t28 @t27 @t40 (not @t41)))) % 0.22/0.54 (step @p32 :rule chain_m_resolution :premises (@p31 @p12 @p13 @p29) :args (@t40 @t30 (@list @t19 @t20 @t41))) % 0.22/0.54 (step @p33 :rule instantiate :premises (@p9) :args ((@list tptp.sk2 @t22))) % 0.22/0.54 (step @p34 :rule cnf_or_pos :args (@t44)) % 0.22/0.54 (step @p35 :rule reordering :premises (@p34) :args ((or @t43 @t36 @t42 (not @t44)))) % 0.22/0.54 (step @p36 :rule refl :args (@t45)) % 0.22/0.54 (step @p37 :rule refl :args (@t35)) % 0.22/0.54 (step @p38 :rule bool-double-not-elim :args (@t34)) % 0.22/0.54 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or (not @t46) @t35 @t45))) % 0.22/0.54 (assume-push @p91 @t26) % 0.22/0.54 (assume-push @p92 @t42) % 0.22/0.54 (assume-push @p93 @t46) % 0.22/0.54 (step @p43 :rule evaluate :args ((= false true))) % 0.22/0.54 (step @p44 :rule true_intro :premises (@p21)) % 0.22/0.54 (step @p45 :rule symm :premises (@p92)) % 0.22/0.54 (step @p46 :rule refl :args (tptp.sk1)) % 0.22/0.54 (step @p47 :rule cong :premises (@p46 @p45) :args (@t34)) % 0.22/0.54 (step @p48 :rule false_intro :premises (@p93)) % 0.22/0.54 (step @p49 :rule symm :premises (@p48)) % 0.22/0.54 (step @p50 :rule trans :premises (@p49 @p47 @p44)) % 0.22/0.54 (step @p51 false :rule eq_resolve :premises (@p50 @p43)) % 0.22/0.54 (step-pop @p94 :rule scope :premises (@p51)) % 0.22/0.54 (step-pop @p95 :rule scope :premises (@p94)) % 0.22/0.54 (step-pop @p96 :rule scope :premises (@p95)) % 0.22/0.54 (step @p52 :rule process_scope :premises (@p96) :args (false)) % 0.22/0.54 (assume-push @p97 @t46) % 0.22/0.54 (assume-push @p98 @t26) % 0.22/0.54 (assume-push @p99 @t42) % 0.22/0.54 (step @p59 :rule and_intro :premises (@p21 @p99 @p97)) % 0.22/0.54 (step-pop @p100 :rule scope :premises (@p59)) % 0.22/0.54 (step-pop @p101 :rule scope :premises (@p100)) % 0.22/0.54 (step-pop @p102 :rule scope :premises (@p101)) % 0.22/0.54 (step @p60 :rule process_scope :premises (@p102) :args (@t47)) % 0.22/0.54 (step @p64 :rule implies_elim :premises (@p60)) % 0.22/0.54 (step @p65 :rule resolution :premises (@p64 @p52) :args (true @t47)) % 0.22/0.54 (step @p66 :rule not_and :premises (@p65)) % 0.22/0.54 (step @p67 :rule eq_resolve :premises (@p66 @p39)) % 0.22/0.54 (step @p68 :rule chain_m_resolution :premises (@p67 @p21 @p35 @p33 @p32 @p28 @p26 @p25 @p21 @p12) :args (@t34 (@list false false false false true false false false false) (@list @t26 @t42 @t44 @t40 @t36 @t39 @t31 @t26 @t19))) % 0.22/0.54 (step @p69 :rule cnf_or_pos :args (@t49)) % 0.22/0.54 (step @p70 :rule reordering :premises (@p69) :args ((or @t28 @t46 @t48 (not @t49)))) % 0.22/0.54 (step @p71 :rule chain_m_resolution :premises (@p70 @p12 @p68 @p17) :args (@t48 @t30 (@list @t19 @t34 @t49))) % 0.22/0.54 (step @p72 :rule cnf_or_pos :args (@t52)) % 0.22/0.54 (step @p73 :rule reordering :premises (@p72) :args ((or @t28 @t51 @t50 (not @t52)))) % 0.22/0.54 (step @p74 :rule chain_m_resolution :premises (@p73 @p12 @p71 @p16) :args (@t50 @t30 (@list @t19 @t48 @t52))) % 0.22/0.54 (step @p75 :rule instantiate :premises (@p10) :args (@t24)) % 0.22/0.54 (step @p76 :rule cnf_or_pos :args (@t56)) % 0.22/0.54 (step @p77 :rule reordering :premises (@p76) :args ((or @t28 @t55 (not @t56)))) % 0.22/0.54 (step @p78 :rule chain_m_resolution :premises (@p77 @p12 @p75) :args (@t55 @t33 (@list @t19 @t56))) % 0.22/0.54 (step @p79 :rule cnf_or_pos :args (@t60)) % 0.22/0.54 (step @p80 :rule reordering :premises (@p79) :args ((or @t21 @t28 @t27 @t43 @t58 @t57 @t59 (not @t60)))) % 0.22/0.54 (step @p81 :rule chain_m_resolution :premises (@p80 @p14 @p12 @p13 @p32 @p78 @p74 @p15) :args (@t57 (@list true false false false false false false) (@list @t21 @t19 @t20 @t40 @t55 @t50 @t60))) % 0.22/0.54 (step @p82 :rule cnf_or_pos :args (@t62)) % 0.22/0.54 (step @p83 :rule reordering :premises (@p82) :args ((or @t28 @t51 @t61 @t63))) % 0.22/0.54 (step @p84 :rule chain_m_resolution :premises (@p83 @p12 @p71 @p81) :args (@t63 @t30 (@list @t19 @t48 @t57))) % 0.22/0.54 (assume-push @p103 @t7) % 0.22/0.54 (step @p86 :rule instantiate :premises (@p1) :args (@t23)) % 0.22/0.54 (step-pop @p104 :rule scope :premises (@p86)) % 0.22/0.54 (step @p87 :rule process_scope :premises (@p104) :args (@t62)) % 0.22/0.54 (step @p89 :rule implies_elim :premises (@p87)) % 0.22/0.54 (step @p90 false :rule chain_m_resolution :premises (@p89 @p84 @p1) :args (false (@list true false) (@list @t62 @t7))) % 0.22/0.54 ) % 0.22/0.54 % SZS output end Proof % 0.22/0.54 % cvc5 exiting %------------------------------------------------------------------------------