%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV053^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:23 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV053^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n001.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:11:20 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort tptp.a 0) % 0.27/0.55 (declare-sort tptp.b 0) % 0.27/0.55 (declare-const tptp.cL (-> tptp.a tptp.a Bool)) % 0.27/0.55 (declare-const tptp.cA (-> tptp.b tptp.a)) % 0.27/0.55 (declare-const tptp.cF (-> tptp.b tptp.b)) % 0.27/0.55 (define @t1 () (@var "Y" tptp.b)) % 0.27/0.55 (define @t2 () (_ tptp.cF @t1)) % 0.27/0.55 (define @t3 () (_ tptp.cF @t2)) % 0.27/0.55 (define @t4 () (_ tptp.cA @t3)) % 0.27/0.55 (define @t5 () (_ tptp.cA @t1)) % 0.27/0.55 (define @t6 () (_ (_ tptp.cL @t5) @t4)) % 0.27/0.55 (define @t7 () (@list @t1)) % 0.27/0.55 (define @t8 () (forall @t7 @t6)) % 0.27/0.55 (define @t9 () (@var "X" tptp.b)) % 0.27/0.55 (define @t10 () (_ tptp.cF @t9)) % 0.27/0.55 (define @t11 () (_ tptp.cA @t10)) % 0.27/0.55 (define @t12 () (_ tptp.cA @t9)) % 0.27/0.55 (define @t13 () (_ (_ tptp.cL @t12) @t11)) % 0.27/0.55 (define @t14 () (forall (@list @t9) @t13)) % 0.27/0.55 (define @t15 () (@var "Xz" tptp.a)) % 0.27/0.55 (define @t16 () (@var "Xx" tptp.a)) % 0.27/0.55 (define @t17 () (_ tptp.cL @t16)) % 0.27/0.55 (define @t18 () (_ @t17 @t15)) % 0.27/0.55 (define @t19 () (@var "Xy" tptp.a)) % 0.27/0.55 (define @t20 () (_ (_ tptp.cL @t19) @t15)) % 0.27/0.55 (define @t21 () (_ @t17 @t19)) % 0.27/0.55 (define @t22 () (and @t21 @t20)) % 0.27/0.55 (define @t23 () (@list @t16 @t19 @t15)) % 0.27/0.55 (define @t24 () (forall @t23 (=> @t22 @t18))) % 0.27/0.55 (define @t25 () (and @t24 @t14)) % 0.27/0.55 (define @t26 () (=> @t25 @t8)) % 0.27/0.55 (define @t27 () (not @t26)) % 0.27/0.55 (define @t28 () (tptp.cF @t1)) % 0.27/0.55 (define @t29 () (tptp.cF @t28)) % 0.27/0.55 (define @t30 () (tptp.cA @t29)) % 0.27/0.55 (define @t31 () (tptp.cA @t1)) % 0.27/0.55 (define @t32 () (tptp.cL @t31 @t30)) % 0.27/0.55 (define @t33 () (tptp.cF @t9)) % 0.27/0.55 (define @t34 () (tptp.cA @t33)) % 0.27/0.55 (define @t35 () (tptp.cA @t9)) % 0.27/0.55 (define @t36 () (tptp.cL @t35 @t34)) % 0.27/0.55 (define @t37 () (tptp.cL @t16 @t15)) % 0.27/0.55 (define @t38 () (tptp.cL @t19 @t15)) % 0.27/0.55 (define @t39 () (not @t20)) % 0.27/0.55 (define @t40 () (tptp.cL @t16 @t19)) % 0.27/0.55 (define @t41 () (not @t21)) % 0.27/0.55 (define @t42 () (or @t41 @t39 @t18)) % 0.27/0.55 (define @t43 () (@quantifiers_skolemize (forall @t7 @t32) 0)) % 0.27/0.55 (define @t44 () (tptp.cF @t43)) % 0.27/0.55 (define @t45 () (tptp.cA (tptp.cF @t44))) % 0.27/0.55 (define @t46 () (tptp.cA @t43)) % 0.27/0.55 (define @t47 () (tptp.cL @t46 @t45)) % 0.27/0.55 (define @t48 () (tptp.cA @t44)) % 0.27/0.55 (define @t49 () (tptp.cL @t48 @t45)) % 0.27/0.55 (define @t50 () (not @t49)) % 0.27/0.55 (define @t51 () (tptp.cL @t46 @t48)) % 0.27/0.55 (define @t52 () (not @t51)) % 0.27/0.55 (define @t53 () (or @t52 @t50 @t47)) % 0.27/0.55 (define @t54 () (not @t53)) % 0.27/0.55 (define @t55 () (forall @t23 (or (not @t40) (not @t38) @t37))) % 0.27/0.55 (assume @p1 @t27) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule refl :args ((tptp.cL @t5 @t4))) % 0.27/0.55 (step @p4 :rule refl :args ((tptp.cA @t3))) % 0.27/0.55 (step @p5 :rule refl :args ((tptp.cF @t2))) % 0.27/0.55 (step @p6 :rule refl :args (@t28)) % 0.27/0.55 (step @p7 :rule cong :premises (@p6) :args (@t29)) % 0.27/0.55 (step @p8 :rule trans :premises (@p7 @p5)) % 0.27/0.55 (step @p9 :rule cong :premises (@p8) :args (@t30)) % 0.27/0.55 (step @p10 :rule trans :premises (@p9 @p4)) % 0.27/0.55 (step @p11 :rule refl :args (@t31)) % 0.27/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t32)) % 0.27/0.55 (step @p13 :rule trans :premises (@p12 @p3)) % 0.27/0.55 (step @p14 :rule refl :args (tptp.cL)) % 0.27/0.55 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.27/0.55 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.27/0.55 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.cL @t31) @t30) @t32))) % 0.27/0.55 (step @p18 :rule symm :premises (@p17)) % 0.27/0.55 (step @p19 :rule refl :args (@t6)) % 0.27/0.55 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.27/0.55 (step @p21 :rule refl :args (tptp.cA)) % 0.27/0.55 (step @p22 :rule ho_cong :premises (@p21 @p8)) % 0.27/0.55 (step @p23 :rule cong :premises (@p22 @p10) :args ((= (_ tptp.cA @t29) @t30))) % 0.27/0.55 (step @p24 :rule symm :premises (@p23)) % 0.27/0.55 (step @p25 :rule refl :args (@t4)) % 0.27/0.55 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.27/0.55 (step @p27 :rule refl :args (tptp.cF)) % 0.27/0.55 (step @p28 :rule ho_cong :premises (@p27 @p6)) % 0.27/0.55 (step @p29 :rule cong :premises (@p28 @p8) :args ((= (_ tptp.cF @t28) @t29))) % 0.27/0.55 (step @p30 :rule symm :premises (@p29)) % 0.27/0.55 (step @p31 :rule refl :args (@t3)) % 0.27/0.55 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.27/0.55 (step @p33 :rule refl :args (@t2)) % 0.27/0.55 (step @p34 :rule cong :premises (@p33 @p6) :args ((= @t2 @t28))) % 0.27/0.55 (step @p35 :rule symm :premises (@p34)) % 0.27/0.55 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.27/0.55 (step @p37 :rule ho_cong :premises (@p27 @p36)) % 0.27/0.55 (step @p38 :rule trans :premises (@p37 @p32)) % 0.27/0.55 (step @p39 :rule ho_cong :premises (@p21 @p38)) % 0.27/0.55 (step @p40 :rule trans :premises (@p39 @p26)) % 0.27/0.55 (step @p41 :rule refl :args (@t5)) % 0.27/0.55 (step @p42 :rule cong :premises (@p41 @p11) :args ((= @t5 @t31))) % 0.27/0.55 (step @p43 :rule symm :premises (@p42)) % 0.27/0.55 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.27/0.55 (step @p45 :rule ho_cong :premises (@p14 @p44)) % 0.27/0.55 (step @p46 :rule ho_cong :premises (@p45 @p40)) % 0.27/0.55 (step @p47 :rule trans :premises (@p46 @p20)) % 0.27/0.55 (step @p48 :rule cong :premises (@p47) :args (@t8)) % 0.27/0.55 (step @p49 :rule refl :args ((tptp.cL @t12 @t11))) % 0.27/0.55 (step @p50 :rule refl :args ((tptp.cA @t10))) % 0.27/0.55 (step @p51 :rule refl :args (@t33)) % 0.27/0.55 (step @p52 :rule cong :premises (@p51) :args (@t34)) % 0.27/0.55 (step @p53 :rule trans :premises (@p52 @p50)) % 0.27/0.55 (step @p54 :rule refl :args (@t35)) % 0.27/0.55 (step @p55 :rule cong :premises (@p54 @p53) :args (@t36)) % 0.27/0.55 (step @p56 :rule trans :premises (@p55 @p49)) % 0.27/0.55 (step @p57 :rule ho_cong :premises (@p14 @p54)) % 0.27/0.55 (step @p58 :rule ho_cong :premises (@p57 @p53)) % 0.27/0.55 (step @p59 :rule cong :premises (@p58 @p56) :args ((= (_ (_ tptp.cL @t35) @t34) @t36))) % 0.27/0.55 (step @p60 :rule symm :premises (@p59)) % 0.27/0.55 (step @p61 :rule refl :args (@t13)) % 0.27/0.55 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.27/0.55 (step @p63 :rule ho_cong :premises (@p21 @p51)) % 0.27/0.55 (step @p64 :rule cong :premises (@p63 @p53) :args ((= (_ tptp.cA @t33) @t34))) % 0.27/0.55 (step @p65 :rule symm :premises (@p64)) % 0.27/0.55 (step @p66 :rule refl :args (@t11)) % 0.27/0.55 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.27/0.55 (step @p68 :rule refl :args (@t10)) % 0.27/0.55 (step @p69 :rule cong :premises (@p68 @p51) :args ((= @t10 @t33))) % 0.27/0.55 (step @p70 :rule symm :premises (@p69)) % 0.27/0.55 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.27/0.55 (step @p72 :rule ho_cong :premises (@p21 @p71)) % 0.27/0.55 (step @p73 :rule trans :premises (@p72 @p67)) % 0.27/0.55 (step @p74 :rule refl :args (@t12)) % 0.27/0.55 (step @p75 :rule cong :premises (@p74 @p54) :args ((= @t12 @t35))) % 0.27/0.55 (step @p76 :rule symm :premises (@p75)) % 0.27/0.55 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.27/0.55 (step @p78 :rule ho_cong :premises (@p14 @p77)) % 0.27/0.55 (step @p79 :rule ho_cong :premises (@p78 @p73)) % 0.27/0.55 (step @p80 :rule trans :premises (@p79 @p62)) % 0.27/0.55 (step @p81 :rule cong :premises (@p80) :args (@t14)) % 0.27/0.55 (step @p82 :rule refl :args (@t37)) % 0.27/0.55 (step @p83 :rule refl :args (@t18)) % 0.27/0.55 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t18 @t37))) % 0.27/0.55 (step @p85 :rule symm :premises (@p84)) % 0.27/0.55 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.27/0.55 (step @p87 :rule refl :args (@t38)) % 0.27/0.55 (step @p88 :rule refl :args (@t20)) % 0.27/0.55 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t20 @t38))) % 0.27/0.55 (step @p90 :rule symm :premises (@p89)) % 0.27/0.55 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.27/0.55 (step @p92 :rule cong :premises (@p91) :args (@t39)) % 0.27/0.55 (step @p93 :rule refl :args (@t40)) % 0.27/0.55 (step @p94 :rule refl :args (@t21)) % 0.27/0.55 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t21 @t40))) % 0.27/0.55 (step @p96 :rule symm :premises (@p95)) % 0.27/0.55 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.27/0.55 (step @p98 :rule cong :premises (@p97) :args (@t41)) % 0.27/0.55 (step @p99 :rule nary_cong :premises (@p98 @p92 @p86) :args (@t42)) % 0.27/0.55 (step @p100 :rule cong :premises (@p99) :args ((forall @t23 @t42))) % 0.27/0.55 (step @p101 :rule aci_norm :args ((= (or (or @t41 @t39) @t18) @t42))) % 0.27/0.55 (step @p102 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.27/0.55 (step @p103 :rule nary_cong :premises (@p102 @p83) :args ((or (not @t22) @t18))) % 0.27/0.55 (step @p104 :rule trans :premises (@p103 @p101)) % 0.27/0.55 (step @p105 :rule bool-impl-elim :args (@t22 @t18)) % 0.27/0.55 (step @p106 :rule trans :premises (@p105 @p104)) % 0.27/0.55 (step @p107 :rule cong :premises (@p106) :args (@t24)) % 0.27/0.55 (step @p108 :rule trans :premises (@p107 @p100)) % 0.27/0.55 (step @p109 :rule nary_cong :premises (@p108 @p81) :args (@t25)) % 0.27/0.55 (step @p110 :rule cong :premises (@p109 @p48) :args (@t26)) % 0.27/0.55 (step @p111 :rule cong :premises (@p110) :args (@t27)) % 0.27/0.55 (step @p112 :rule eq_resolve :premises (@p1 @p111)) % 0.27/0.55 (step @p113 :rule not_implies_elim1 :premises (@p112)) % 0.27/0.55 (step @p114 :rule and_elim :premises (@p113) :args (0)) % 0.27/0.55 (step @p115 :rule and_elim :premises (@p113) :args (1)) % 0.27/0.55 (step @p116 :rule instantiate :premises (@p115) :args ((@list @t44))) % 0.27/0.55 (step @p117 :rule instantiate :premises (@p115) :args ((@list @t43))) % 0.27/0.55 (step @p118 :rule not_implies_elim2 :premises (@p112)) % 0.27/0.55 (step @p119 :rule skolemize :premises (@p118)) % 0.38/0.56 (step @p120 :rule cnf_or_pos :args (@t53)) % 0.38/0.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t47 @t52 @t50 @t54))) % 0.38/0.56 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p117 @p116) :args (@t54 (@list true false false) (@list @t47 @t51 @t49))) % 0.38/0.56 (assume-push @p129 @t55) % 0.38/0.56 (step @p124 :rule instantiate :premises (@p114) :args ((@list @t46 @t48 @t45))) % 0.38/0.56 (step-pop @p130 :rule scope :premises (@p124)) % 0.38/0.56 (step @p125 :rule process_scope :premises (@p130) :args (@t53)) % 0.38/0.56 (step @p127 :rule implies_elim :premises (@p125)) % 0.38/0.56 (step @p128 false :rule chain_m_resolution :premises (@p127 @p122 @p114) :args (false (@list true false) (@list @t53 @t55))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------