%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 06:04:50 AM UTC 2026 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : MGT041+2 : TPTP v9.3.0. Released v2.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n029.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Mon Sep 7 13:04:41 UTC 2026 % 0.08/0.35 % CPUTime : % 0.13/0.42 %----Proving TF0_NAR, FOF, or CNF % 0.18/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.18/0.50 % SZS status Theorem % 0.18/0.50 % SZS output start Proof % 0.18/0.50 ( % 0.18/0.50 (declare-sort $$unsorted 0) % 0.18/0.50 (declare-const tptp.first_mover (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.organisation_at_time (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.efficient_producer (-> $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.founding_time (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.has_elaborated_routines (-> $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.low $$unsorted) % 0.18/0.50 (declare-const tptp.number_of_routines (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.18/0.50 (declare-const tptp.high $$unsorted) % 0.18/0.50 (define @t1 () (@var "T" $$unsorted)) % 0.18/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.18/0.50 (define @t3 () (tptp.number_of_routines @t2 @t1 tptp.high)) % 0.18/0.50 (define @t4 () (tptp.number_of_routines @t2 @t1 tptp.low)) % 0.18/0.50 (define @t5 () (@list @t2 @t1)) % 0.18/0.50 (define @t6 () (forall @t5 (not (and @t4 @t3)))) % 0.18/0.50 (define @t7 () (tptp.has_elaborated_routines @t2 @t1)) % 0.18/0.50 (define @t8 () (tptp.founding_time @t2 @t1)) % 0.18/0.50 (define @t9 () (tptp.efficient_producer @t2)) % 0.18/0.50 (define @t10 () (tptp.organisation_at_time @t2 @t1)) % 0.18/0.50 (define @t11 () (and @t10 @t9 @t8)) % 0.18/0.50 (define @t12 () (forall @t5 (=> @t11 @t7))) % 0.18/0.50 (define @t13 () (tptp.first_mover @t2)) % 0.18/0.50 (define @t14 () (and @t10 @t13 @t8)) % 0.18/0.50 (define @t15 () (forall @t5 (=> @t14 @t4))) % 0.18/0.50 (define @t16 () (not @t7)) % 0.18/0.50 (define @t17 () (and @t10 @t8 @t3 @t16)) % 0.18/0.50 (define @t18 () (exists @t5 @t17)) % 0.18/0.50 (define @t19 () (not @t9)) % 0.18/0.50 (define @t20 () (not @t13)) % 0.18/0.50 (define @t21 () (and @t10 @t20 @t19)) % 0.18/0.50 (define @t22 () (exists @t5 @t21)) % 0.18/0.50 (define @t23 () (not @t22)) % 0.18/0.50 (define @t24 () (not @t3)) % 0.18/0.50 (define @t25 () (not @t8)) % 0.18/0.50 (define @t26 () (not @t10)) % 0.18/0.50 (define @t27 () (not @t16)) % 0.18/0.50 (define @t28 () (or @t26 @t25 @t24 @t27)) % 0.18/0.50 (define @t29 () (forall @t5 (not @t17))) % 0.18/0.50 (define @t30 () (not @t29)) % 0.18/0.50 (define @t31 () (forall @t5 (or @t26 @t25 @t24 @t7))) % 0.18/0.50 (define @t32 () (@quantifiers_skolemize @t31 1)) % 0.18/0.50 (define @t33 () (@quantifiers_skolemize @t31 0)) % 0.18/0.50 (define @t34 () (tptp.organisation_at_time @t33 @t32)) % 0.18/0.50 (define @t35 () (tptp.has_elaborated_routines @t33 @t32)) % 0.18/0.50 (define @t36 () (tptp.number_of_routines @t33 @t32 tptp.high)) % 0.18/0.50 (define @t37 () (not @t36)) % 0.18/0.50 (define @t38 () (tptp.founding_time @t33 @t32)) % 0.18/0.50 (define @t39 () (not @t38)) % 0.18/0.50 (define @t40 () (not @t34)) % 0.18/0.50 (define @t41 () (or @t40 @t39 @t37 @t35)) % 0.18/0.50 (define @t42 () (@list true)) % 0.18/0.50 (define @t43 () (@list @t41)) % 0.18/0.50 (define @t44 () (not @t19)) % 0.18/0.50 (define @t45 () (not @t20)) % 0.18/0.50 (define @t46 () (or @t26 @t45 @t44)) % 0.18/0.50 (define @t47 () (forall @t5 (not @t21))) % 0.18/0.50 (define @t48 () (not @t47)) % 0.18/0.50 (define @t49 () (@list @t33 @t32)) % 0.18/0.50 (define @t50 () (or @t26 @t19 @t25)) % 0.18/0.50 (define @t51 () (tptp.efficient_producer @t33)) % 0.18/0.50 (define @t52 () (not @t51)) % 0.18/0.50 (define @t53 () (or @t40 @t52 @t39 @t35)) % 0.18/0.50 (define @t54 () (@list false false true false)) % 0.18/0.50 (define @t55 () (or @t26 @t20 @t25)) % 0.18/0.50 (define @t56 () (tptp.number_of_routines @t33 @t32 tptp.low)) % 0.18/0.50 (define @t57 () (not @t56)) % 0.18/0.50 (define @t58 () (or @t57 @t37)) % 0.18/0.50 (define @t59 () (tptp.first_mover @t33)) % 0.18/0.50 (define @t60 () (not @t59)) % 0.18/0.50 (define @t61 () (or @t40 @t60 @t39 @t56)) % 0.18/0.50 (define @t62 () (or @t40 @t59 @t51)) % 0.18/0.50 (assume @p1 @t6) % 0.18/0.50 (assume @p2 @t12) % 0.18/0.50 (assume @p3 @t15) % 0.18/0.50 (assume @p4 @t18) % 0.18/0.50 (assume @p5 @t23) % 0.18/0.50 (assume @p6 true) % 0.18/0.50 (step @p7 :rule bool-double-not-elim :args (@t7)) % 0.18/0.50 (step @p8 :rule refl :args (@t24)) % 0.18/0.50 (step @p9 :rule refl :args (@t25)) % 0.18/0.50 (step @p10 :rule refl :args (@t26)) % 0.18/0.50 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7) :args (@t28)) % 0.18/0.50 (step @p12 :rule aci_norm :args ((= (or @t26 (or @t25 (or @t24 @t27))) @t28))) % 0.18/0.50 (step @p13 :rule trans :premises (@p12 @p11)) % 0.18/0.50 (step @p14 :rule bool-and-de-morgan :args (@t3 @t16 true)) % 0.18/0.50 (step @p15 :rule nary_cong :premises (@p9 @p14) :args ((or @t25 (not (and @t3 @t16))))) % 0.18/0.50 (step @p16 :rule bool-and-de-morgan :args (@t8 @t3 (and @t16))) % 0.18/0.50 (step @p17 :rule trans :premises (@p16 @p15)) % 0.18/0.50 (step @p18 :rule nary_cong :premises (@p10 @p17) :args ((or @t26 (not (and @t8 @t3 @t16))))) % 0.18/0.50 (step @p19 :rule bool-and-de-morgan :args (@t10 @t8 (and @t3 @t16))) % 0.18/0.50 (step @p20 :rule trans :premises (@p19 @p18)) % 0.18/0.50 (step @p21 :rule trans :premises (@p20 @p13)) % 0.18/0.50 (step @p22 :rule cong :premises (@p21) :args (@t29)) % 0.18/0.50 (step @p23 :rule cong :premises (@p22) :args (@t30)) % 0.18/0.50 (step @p24 :rule exists-elim :args ((= @t18 @t30))) % 0.18/0.50 (step @p25 :rule trans :premises (@p24 @p23)) % 0.18/0.50 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.18/0.50 (step @p27 :rule skolemize :premises (@p26)) % 0.18/0.50 (step @p28 :rule bool-double-not-elim :args (@t34)) % 0.18/0.50 (step @p29 :rule refl :args (@t41)) % 0.18/0.50 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t41 (not @t40)))) % 0.18/0.50 (step @p31 :rule cnf_or_neg :args (@t41 0)) % 0.18/0.50 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.18/0.50 (step @p33 :rule reordering :premises (@p32) :args ((or @t34 @t41))) % 0.18/0.50 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t34 @t42 @t43)) % 0.18/0.50 (step @p35 :rule bool-double-not-elim :args ((forall @t5 (or @t26 @t13 @t9)))) % 0.18/0.50 (step @p36 :rule bool-double-not-elim :args (@t9)) % 0.18/0.50 (step @p37 :rule bool-double-not-elim :args (@t13)) % 0.18/0.50 (step @p38 :rule nary_cong :premises (@p10 @p37 @p36) :args (@t46)) % 0.18/0.50 (step @p39 :rule aci_norm :args ((= (or @t26 (or @t45 @t44)) @t46))) % 0.18/0.50 (step @p40 :rule trans :premises (@p39 @p38)) % 0.18/0.50 (step @p41 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.18/0.50 (step @p42 :rule nary_cong :premises (@p10 @p41) :args ((or @t26 (not (and @t20 @t19))))) % 0.18/0.50 (step @p43 :rule bool-and-de-morgan :args (@t10 @t20 (and @t19))) % 0.18/0.50 (step @p44 :rule trans :premises (@p43 @p42)) % 0.18/0.50 (step @p45 :rule trans :premises (@p44 @p40)) % 0.18/0.50 (step @p46 :rule cong :premises (@p45) :args (@t47)) % 0.18/0.50 (step @p47 :rule cong :premises (@p46) :args (@t48)) % 0.18/0.50 (step @p48 :rule exists-elim :args ((= @t22 @t48))) % 0.18/0.50 (step @p49 :rule trans :premises (@p48 @p47)) % 0.18/0.50 (step @p50 :rule cong :premises (@p49) :args (@t23)) % 0.18/0.50 (step @p51 :rule trans :premises (@p50 @p35)) % 0.18/0.50 (step @p52 :rule eq_resolve :premises (@p5 @p51)) % 0.18/0.50 (step @p53 :rule instantiate :premises (@p52) :args (@t49)) % 0.18/0.50 (step @p54 :rule aci_norm :args ((= (or @t50 @t7) (or @t26 @t19 @t25 @t7)))) % 0.18/0.50 (step @p55 :rule refl :args (@t7)) % 0.18/0.50 (step @p56 :rule aci_norm :args ((= (or @t26 (or @t19 @t25)) @t50))) % 0.18/0.50 (step @p57 :rule bool-and-de-morgan :args (@t9 @t8 true)) % 0.18/0.50 (step @p58 :rule nary_cong :premises (@p10 @p57) :args ((or @t26 (not (and @t9 @t8))))) % 0.18/0.50 (step @p59 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8))) % 0.18/0.50 (step @p60 :rule trans :premises (@p59 @p58)) % 0.18/0.50 (step @p61 :rule trans :premises (@p60 @p56)) % 0.18/0.50 (step @p62 :rule nary_cong :premises (@p61 @p55) :args ((or (not @t11) @t7))) % 0.18/0.50 (step @p63 :rule trans :premises (@p62 @p54)) % 0.18/0.50 (step @p64 :rule bool-impl-elim :args (@t11 @t7)) % 0.18/0.50 (step @p65 :rule trans :premises (@p64 @p63)) % 0.18/0.50 (step @p66 :rule cong :premises (@p65) :args (@t12)) % 0.18/0.50 (step @p67 :rule eq_resolve :premises (@p2 @p66)) % 0.18/0.50 (step @p68 :rule instantiate :premises (@p67) :args (@t49)) % 0.18/0.50 (step @p69 :rule cnf_or_neg :args (@t41 3)) % 0.18/0.50 (step @p70 :rule chain_m_resolution :premises (@p69 @p27) :args ((not @t35) @t42 @t43)) % 0.18/0.50 (step @p71 :rule bool-double-not-elim :args (@t38)) % 0.18/0.50 (step @p72 :rule nary_cong :premises (@p29 @p71) :args ((or @t41 (not @t39)))) % 0.18/0.50 (step @p73 :rule cnf_or_neg :args (@t41 1)) % 0.18/0.50 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.18/0.50 (step @p75 :rule reordering :premises (@p74) :args ((or @t38 @t41))) % 0.18/0.50 (step @p76 :rule chain_m_resolution :premises (@p75 @p27) :args (@t38 @t42 @t43)) % 0.18/0.50 (step @p77 :rule cnf_or_pos :args (@t53)) % 0.18/0.50 (step @p78 :rule reordering :premises (@p77) :args ((or @t40 @t39 @t35 @t52 (not @t53)))) % 0.18/0.50 (step @p79 :rule chain_m_resolution :premises (@p78 @p34 @p76 @p70 @p68) :args (@t52 @t54 (@list @t34 @t38 @t35 @t53))) % 0.18/0.50 (step @p80 :rule aci_norm :args ((= (or @t55 @t4) (or @t26 @t20 @t25 @t4)))) % 0.18/0.50 (step @p81 :rule refl :args (@t4)) % 0.18/0.50 (step @p82 :rule aci_norm :args ((= (or @t26 (or @t20 @t25)) @t55))) % 0.18/0.50 (step @p83 :rule bool-and-de-morgan :args (@t13 @t8 true)) % 0.18/0.50 (step @p84 :rule nary_cong :premises (@p10 @p83) :args ((or @t26 (not (and @t13 @t8))))) % 0.18/0.50 (step @p85 :rule bool-and-de-morgan :args (@t10 @t13 (and @t8))) % 0.18/0.50 (step @p86 :rule trans :premises (@p85 @p84)) % 0.18/0.50 (step @p87 :rule trans :premises (@p86 @p82)) % 0.18/0.50 (step @p88 :rule nary_cong :premises (@p87 @p81) :args ((or (not @t14) @t4))) % 0.18/0.50 (step @p89 :rule trans :premises (@p88 @p80)) % 0.18/0.50 (step @p90 :rule bool-impl-elim :args (@t14 @t4)) % 0.18/0.50 (step @p91 :rule trans :premises (@p90 @p89)) % 0.18/0.50 (step @p92 :rule cong :premises (@p91) :args (@t15)) % 0.18/0.50 (step @p93 :rule eq_resolve :premises (@p3 @p92)) % 0.18/0.50 (step @p94 :rule instantiate :premises (@p93) :args (@t49)) % 0.18/0.50 (step @p95 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 0.18/0.50 (step @p96 :rule cong :premises (@p95) :args (@t6)) % 0.18/0.50 (step @p97 :rule eq_resolve :premises (@p1 @p96)) % 0.18/0.50 (step @p98 :rule instantiate :premises (@p97) :args (@t49)) % 0.18/0.50 (step @p99 :rule bool-double-not-elim :args (@t36)) % 0.18/0.50 (step @p100 :rule nary_cong :premises (@p29 @p99) :args ((or @t41 (not @t37)))) % 0.18/0.50 (step @p101 :rule cnf_or_neg :args (@t41 2)) % 0.18/0.50 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.18/0.50 (step @p103 :rule reordering :premises (@p102) :args ((or @t36 @t41))) % 0.18/0.50 (step @p104 :rule chain_m_resolution :premises (@p103 @p27) :args (@t36 @t42 @t43)) % 0.18/0.50 (step @p105 :rule cnf_or_pos :args (@t58)) % 0.18/0.50 (step @p106 :rule reordering :premises (@p105) :args ((or @t37 @t57 (not @t58)))) % 0.18/0.50 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p98) :args (@t57 (@list false false) (@list @t36 @t58))) % 0.18/0.50 (step @p108 :rule cnf_or_pos :args (@t61)) % 0.18/0.50 (step @p109 :rule reordering :premises (@p108) :args ((or @t40 @t39 @t56 @t60 (not @t61)))) % 0.18/0.50 (step @p110 :rule chain_m_resolution :premises (@p109 @p34 @p76 @p107 @p94) :args (@t60 @t54 (@list @t34 @t38 @t56 @t61))) % 0.18/0.50 (step @p111 :rule cnf_or_pos :args (@t62)) % 0.18/0.50 (step @p112 :rule reordering :premises (@p111) :args ((or @t40 @t51 @t59 (not @t62)))) % 0.18/0.50 (step @p113 false :rule chain_m_resolution :premises (@p112 @p110 @p79 @p53 @p34) :args (false (@list true true false false) (@list @t59 @t51 @t62 @t34))) % 0.18/0.50 ) % 0.18/0.50 % SZS output end Proof % 0.18/0.50 % cvc5 exiting %------------------------------------------------------------------------------