%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 : Theorem 0.21s 0.51s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT022+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n019.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Mon Sep 7 12:05:37 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.21/0.51 % SZS status Theorem % 0.21/0.51 % SZS output start Proof % 0.21/0.51 ( % 0.21/0.51 (declare-sort $$unsorted 0) % 0.21/0.51 (declare-const tptp.environment (-> $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.subpopulations (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.resilience (-> $$unsorted $$unsorted)) % 0.21/0.51 (declare-const tptp.first_movers $$unsorted) % 0.21/0.51 (declare-const tptp.increases (-> $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.resources (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.51 (declare-const tptp.disbanding_rate (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.51 (declare-const tptp.constant (-> $$unsorted Bool)) % 0.21/0.51 (declare-const tptp.efficient_producers $$unsorted) % 0.21/0.51 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.21/0.51 (declare-const tptp.decreases (-> $$unsorted Bool)) % 0.21/0.51 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.51 (define @t2 () (not (tptp.decreases @t1))) % 0.21/0.51 (define @t3 () (tptp.constant @t1)) % 0.21/0.51 (define @t4 () (forall (@list @t1) (=> @t3 @t2))) % 0.21/0.51 (define @t5 () (@var "T" $$unsorted)) % 0.21/0.51 (define @t6 () (@var "S2" $$unsorted)) % 0.21/0.51 (define @t7 () (@var "S1" $$unsorted)) % 0.21/0.51 (define @t8 () (tptp.difference (tptp.disbanding_rate @t7 @t5) (tptp.disbanding_rate @t6 @t5))) % 0.21/0.51 (define @t9 () (tptp.constant @t8)) % 0.21/0.51 (define @t10 () (@var "E" $$unsorted)) % 0.21/0.51 (define @t11 () (tptp.resources @t10 @t5)) % 0.21/0.51 (define @t12 () (tptp.constant @t11)) % 0.21/0.51 (define @t13 () (tptp.increases @t8)) % 0.21/0.51 (define @t14 () (tptp.decreases @t11)) % 0.21/0.51 (define @t15 () (and (=> @t14 @t13) (=> @t12 @t9))) % 0.21/0.51 (define @t16 () (tptp.greater (tptp.resilience @t6) (tptp.resilience @t7))) % 0.21/0.51 (define @t17 () (tptp.subpopulations @t7 @t6 @t10 @t5)) % 0.21/0.51 (define @t18 () (tptp.environment @t10)) % 0.21/0.51 (define @t19 () (and @t18 @t17 @t16)) % 0.21/0.51 (define @t20 () (forall (@list @t10 @t7 @t6 @t5) (=> @t19 @t15))) % 0.21/0.51 (define @t21 () (tptp.greater (tptp.resilience tptp.efficient_producers) (tptp.resilience tptp.first_movers))) % 0.21/0.51 (define @t22 () (tptp.difference (tptp.disbanding_rate tptp.first_movers @t5) (tptp.disbanding_rate tptp.efficient_producers @t5))) % 0.21/0.51 (define @t23 () (not (tptp.decreases @t22))) % 0.21/0.51 (define @t24 () (tptp.increases @t22)) % 0.21/0.51 (define @t25 () (and (=> @t14 @t24) (=> @t12 @t23))) % 0.21/0.51 (define @t26 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t10 @t5)) % 0.21/0.51 (define @t27 () (and @t18 @t26)) % 0.21/0.51 (define @t28 () (@list @t10 @t5)) % 0.21/0.51 (define @t29 () (forall @t28 (=> @t27 @t25))) % 0.21/0.51 (define @t30 () (not @t29)) % 0.21/0.51 (define @t31 () (not @t12)) % 0.21/0.51 (define @t32 () (not @t14)) % 0.21/0.51 (define @t33 () (and (or @t32 @t24) (or @t31 @t23))) % 0.21/0.51 (define @t34 () (not @t26)) % 0.21/0.51 (define @t35 () (not @t18)) % 0.21/0.51 (define @t36 () (or @t35 @t34 @t33)) % 0.21/0.51 (define @t37 () (forall @t28 @t36)) % 0.21/0.51 (define @t38 () (@quantifiers_skolemize @t37 1)) % 0.21/0.51 (define @t39 () (tptp.difference (tptp.disbanding_rate tptp.first_movers @t38) (tptp.disbanding_rate tptp.efficient_producers @t38))) % 0.21/0.51 (define @t40 () (and (or @t32 @t13) (or @t31 @t9))) % 0.21/0.51 (define @t41 () (not @t16)) % 0.21/0.51 (define @t42 () (not @t17)) % 0.21/0.51 (define @t43 () (or @t35 @t42 @t41)) % 0.21/0.51 (define @t44 () (@quantifiers_skolemize @t37 0)) % 0.21/0.51 (define @t45 () (tptp.subpopulations tptp.first_movers tptp.efficient_producers @t44 @t38)) % 0.21/0.51 (define @t46 () (tptp.decreases @t39)) % 0.21/0.51 (define @t47 () (not @t46)) % 0.21/0.51 (define @t48 () (tptp.resources @t44 @t38)) % 0.21/0.51 (define @t49 () (tptp.constant @t48)) % 0.21/0.51 (define @t50 () (not @t49)) % 0.21/0.51 (define @t51 () (or @t50 @t47)) % 0.21/0.51 (define @t52 () (or (not (tptp.decreases @t48)) (tptp.increases @t39))) % 0.21/0.51 (define @t53 () (and @t52 @t51)) % 0.21/0.51 (define @t54 () (not @t45)) % 0.21/0.51 (define @t55 () (tptp.environment @t44)) % 0.21/0.51 (define @t56 () (not @t55)) % 0.21/0.51 (define @t57 () (or @t56 @t54 @t53)) % 0.21/0.51 (define @t58 () (@list true)) % 0.21/0.51 (define @t59 () (@list @t57)) % 0.21/0.51 (define @t60 () (tptp.constant @t39)) % 0.21/0.51 (define @t61 () (or @t50 @t60)) % 0.21/0.51 (define @t62 () (and @t52 @t61)) % 0.21/0.51 (define @t63 () (not @t21)) % 0.21/0.51 (define @t64 () (or @t56 @t54 @t63 @t62)) % 0.21/0.51 (define @t65 () (not @t62)) % 0.21/0.51 (define @t66 () (@list false)) % 0.21/0.51 (define @t67 () (@list @t62)) % 0.21/0.51 (define @t68 () (@list @t51)) % 0.21/0.51 (define @t69 () (not @t60)) % 0.21/0.51 (define @t70 () (or @t69 @t47)) % 0.21/0.51 (assume @p1 @t4) % 0.21/0.51 (assume @p2 @t20) % 0.21/0.51 (assume @p3 @t21) % 0.21/0.51 (assume @p4 @t30) % 0.21/0.51 (assume @p5 true) % 0.21/0.51 (step @p6 :rule bool-impl-elim :args (@t3 @t2)) % 0.21/0.51 (step @p7 :rule cong :premises (@p6) :args (@t4)) % 0.21/0.51 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.21/0.51 (step @p9 :rule instantiate :premises (@p8) :args ((@list @t39))) % 0.21/0.51 (step @p10 :rule aci_norm :args ((= (or @t43 @t40) (or @t35 @t42 @t41 @t40)))) % 0.21/0.51 (step @p11 :rule bool-impl-elim :args (@t12 @t9)) % 0.21/0.51 (step @p12 :rule bool-impl-elim :args (@t14 @t13)) % 0.21/0.51 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t15)) % 0.21/0.51 (step @p14 :rule aci_norm :args ((= (or @t35 (or @t42 @t41)) @t43))) % 0.21/0.51 (step @p15 :rule bool-and-de-morgan :args (@t17 @t16 true)) % 0.21/0.51 (step @p16 :rule refl :args (@t35)) % 0.21/0.51 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t35 (not (and @t17 @t16))))) % 0.21/0.51 (step @p18 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16))) % 0.21/0.51 (step @p19 :rule trans :premises (@p18 @p17)) % 0.21/0.51 (step @p20 :rule trans :premises (@p19 @p14)) % 0.21/0.51 (step @p21 :rule nary_cong :premises (@p20 @p13) :args ((or (not @t19) @t15))) % 0.21/0.51 (step @p22 :rule trans :premises (@p21 @p10)) % 0.21/0.51 (step @p23 :rule bool-impl-elim :args (@t19 @t15)) % 0.21/0.51 (step @p24 :rule trans :premises (@p23 @p22)) % 0.21/0.51 (step @p25 :rule cong :premises (@p24) :args (@t20)) % 0.21/0.51 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 0.21/0.51 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t44 tptp.first_movers tptp.efficient_producers @t38))) % 0.21/0.51 (step @p28 :rule aci_norm :args ((= (or (or @t35 @t34) @t33) @t36))) % 0.21/0.51 (step @p29 :rule bool-impl-elim :args (@t12 @t23)) % 0.21/0.51 (step @p30 :rule bool-impl-elim :args (@t14 @t24)) % 0.21/0.51 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t25)) % 0.21/0.51 (step @p32 :rule bool-and-de-morgan :args (@t18 @t26 true)) % 0.21/0.51 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t27) @t25))) % 0.21/0.51 (step @p34 :rule trans :premises (@p33 @p28)) % 0.21/0.51 (step @p35 :rule bool-impl-elim :args (@t27 @t25)) % 0.21/0.51 (step @p36 :rule trans :premises (@p35 @p34)) % 0.21/0.51 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 0.21/0.51 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.21/0.51 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 0.21/0.51 (step @p40 :rule skolemize :premises (@p39)) % 0.21/0.51 (step @p41 :rule bool-double-not-elim :args (@t45)) % 0.21/0.51 (step @p42 :rule refl :args (@t57)) % 0.21/0.51 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t57 (not @t54)))) % 0.21/0.51 (step @p44 :rule cnf_or_neg :args (@t57 1)) % 0.21/0.51 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.21/0.51 (step @p46 :rule reordering :premises (@p45) :args ((or @t45 @t57))) % 0.21/0.51 (step @p47 :rule chain_m_resolution :premises (@p46 @p40) :args (@t45 @t58 @t59)) % 0.21/0.51 (step @p48 :rule bool-double-not-elim :args (@t55)) % 0.21/0.51 (step @p49 :rule nary_cong :premises (@p42 @p48) :args ((or @t57 (not @t56)))) % 0.21/0.51 (step @p50 :rule cnf_or_neg :args (@t57 0)) % 0.21/0.51 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.21/0.51 (step @p52 :rule reordering :premises (@p51) :args ((or @t55 @t57))) % 0.21/0.51 (step @p53 :rule chain_m_resolution :premises (@p52 @p40) :args (@t55 @t58 @t59)) % 0.21/0.51 (step @p54 :rule cnf_or_pos :args (@t64)) % 0.21/0.51 (step @p55 :rule reordering :premises (@p54) :args ((or @t63 @t56 @t54 @t62 (not @t64)))) % 0.21/0.51 (step @p56 :rule chain_m_resolution :premises (@p55 @p3 @p53 @p47 @p27) :args (@t62 (@list false false false false) (@list @t21 @t55 @t45 @t64))) % 0.21/0.51 (step @p57 :rule cnf_and_pos :args (@t62 0)) % 0.21/0.51 (step @p58 :rule reordering :premises (@p57) :args ((or @t52 @t65))) % 0.21/0.51 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t52 @t66 @t67)) % 0.21/0.51 (step @p60 :rule cnf_or_neg :args (@t57 2)) % 0.21/0.51 (step @p61 :rule chain_m_resolution :premises (@p60 @p40) :args ((not @t53) @t58 @t59)) % 0.21/0.51 (step @p62 :rule cnf_and_neg :args (@t53)) % 0.21/0.51 (step @p63 :rule chain_m_resolution :premises (@p62 @p61 @p59) :args ((not @t51) (@list true false) (@list @t53 @t52))) % 0.21/0.51 (step @p64 :rule bool-double-not-elim :args (@t46)) % 0.21/0.51 (step @p65 :rule refl :args (@t51)) % 0.21/0.51 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t51 (not @t47)))) % 0.21/0.51 (step @p67 :rule cnf_or_neg :args (@t51 1)) % 0.21/0.51 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.21/0.51 (step @p69 :rule reordering :premises (@p68) :args ((or @t46 @t51))) % 0.21/0.51 (step @p70 :rule chain_m_resolution :premises (@p69 @p63) :args (@t46 @t58 @t68)) % 0.21/0.51 (step @p71 :rule cnf_and_pos :args (@t62 1)) % 0.21/0.51 (step @p72 :rule reordering :premises (@p71) :args ((or @t61 @t65))) % 0.21/0.51 (step @p73 :rule chain_m_resolution :premises (@p72 @p56) :args (@t61 @t66 @t67)) % 0.21/0.51 (step @p74 :rule bool-double-not-elim :args (@t49)) % 0.21/0.51 (step @p75 :rule nary_cong :premises (@p65 @p74) :args ((or @t51 (not @t50)))) % 0.21/0.51 (step @p76 :rule cnf_or_neg :args (@t51 0)) % 0.21/0.51 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.21/0.51 (step @p78 :rule reordering :premises (@p77) :args ((or @t49 @t51))) % 0.21/0.51 (step @p79 :rule chain_m_resolution :premises (@p78 @p63) :args (@t49 @t58 @t68)) % 0.21/0.51 (step @p80 :rule cnf_or_pos :args (@t61)) % 0.21/0.51 (step @p81 :rule reordering :premises (@p80) :args ((or @t50 @t60 (not @t61)))) % 0.21/0.51 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t60 (@list false false) (@list @t49 @t61))) % 0.21/0.51 (step @p83 :rule cnf_or_pos :args (@t70)) % 0.21/0.51 (step @p84 :rule reordering :premises (@p83) :args ((or @t47 @t69 (not @t70)))) % 0.21/0.51 (step @p85 false :rule chain_m_resolution :premises (@p84 @p82 @p70 @p9) :args (false (@list false false false) (@list @t60 @t46 @t70))) % 0.21/0.51 ) % 0.21/0.51 % SZS output end Proof % 0.21/0.51 % cvc5 exiting %------------------------------------------------------------------------------