%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET630^5 : 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 : n005.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 08:48:18 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET630^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:05:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.30/0.55 (define @t2 () (@var "X" (-> tptp.a Bool))) % 0.30/0.55 (define @t3 () (_ @t2 @t1)) % 0.30/0.55 (define @t4 () (not @t3)) % 0.30/0.55 (define @t5 () (@var "Y" (-> tptp.a Bool))) % 0.30/0.55 (define @t6 () (_ @t5 @t1)) % 0.30/0.55 (define @t7 () (and @t6 @t4)) % 0.30/0.55 (define @t8 () (not @t6)) % 0.30/0.55 (define @t9 () (and @t3 @t8)) % 0.30/0.55 (define @t10 () (or @t9 @t7)) % 0.30/0.55 (define @t11 () (and @t3 @t6 @t10)) % 0.30/0.55 (define @t12 () (@list @t1)) % 0.30/0.55 (define @t13 () (exists @t12 @t11)) % 0.30/0.55 (define @t14 () (not @t13)) % 0.30/0.55 (define @t15 () (@list @t2 @t5)) % 0.30/0.55 (define @t16 () (forall @t15 @t14)) % 0.30/0.55 (define @t17 () (not @t16)) % 0.30/0.55 (define @t18 () (_ @t2 @t1)) % 0.30/0.55 (define @t19 () (_ @t5 @t1)) % 0.30/0.55 (define @t20 () (not @t19)) % 0.30/0.55 (define @t21 () (not @t18)) % 0.30/0.55 (define @t22 () (or @t21 @t20 (and (or @t21 @t19) (or @t20 @t18)))) % 0.30/0.55 (define @t23 () (forall (@list @t2 @t5 @t1) @t22)) % 0.30/0.55 (define @t24 () (forall @t12 @t22)) % 0.30/0.55 (define @t25 () (or @t8 @t3)) % 0.30/0.55 (define @t26 () (or @t4 @t6)) % 0.30/0.55 (define @t27 () (and @t26 @t25)) % 0.30/0.55 (define @t28 () (or @t4 @t8 @t27)) % 0.30/0.55 (define @t29 () (not @t10)) % 0.30/0.55 (define @t30 () (or @t4 @t8 @t29)) % 0.30/0.55 (define @t31 () (forall @t12 (not @t11))) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (@quantifiers_skolemize @t23 2)) % 0.30/0.55 (define @t34 () (_ (@quantifiers_skolemize @t23 0) @t33)) % 0.30/0.55 (define @t35 () (_ (@quantifiers_skolemize @t23 1) @t33)) % 0.30/0.55 (define @t36 () (not @t35)) % 0.30/0.55 (define @t37 () (or @t36 @t34)) % 0.30/0.55 (define @t38 () (not @t34)) % 0.30/0.55 (define @t39 () (or @t38 @t35)) % 0.30/0.55 (define @t40 () (and @t39 @t37)) % 0.30/0.55 (define @t41 () (or @t38 @t36 @t40)) % 0.30/0.55 (define @t42 () (@list true)) % 0.30/0.55 (define @t43 () (@list @t41)) % 0.30/0.55 (define @t44 () (@list false)) % 0.30/0.55 (assume @p1 @t17) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule quant-merge-prenex :args ((= (forall @t15 @t24) @t23))) % 0.30/0.55 (step @p4 :rule bool-double-not-elim :args (@t24)) % 0.30/0.55 (step @p5 :rule refl :args (@t18)) % 0.30/0.55 (step @p6 :rule refl :args (@t3)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t18))) % 0.30/0.55 (step @p8 :rule symm :premises (@p7)) % 0.30/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.30/0.55 (step @p10 :rule refl :args (@t19)) % 0.30/0.55 (step @p11 :rule refl :args (@t6)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t19))) % 0.30/0.55 (step @p13 :rule symm :premises (@p12)) % 0.30/0.55 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t8)) % 0.30/0.55 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t25)) % 0.30/0.55 (step @p17 :rule cong :premises (@p9) :args (@t4)) % 0.30/0.55 (step @p18 :rule nary_cong :premises (@p17 @p14) :args (@t26)) % 0.30/0.55 (step @p19 :rule nary_cong :premises (@p18 @p16) :args (@t27)) % 0.30/0.55 (step @p20 :rule nary_cong :premises (@p17 @p15 @p19) :args (@t28)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args ((forall @t12 @t28))) % 0.30/0.55 (step @p22 :rule bool-double-not-elim :args (@t3)) % 0.30/0.55 (step @p23 :rule refl :args (@t8)) % 0.30/0.55 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t8 (not @t4)))) % 0.30/0.55 (step @p25 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.30/0.55 (step @p26 :rule trans :premises (@p25 @p24)) % 0.30/0.55 (step @p27 :rule bool-double-not-elim :args (@t6)) % 0.30/0.55 (step @p28 :rule refl :args (@t4)) % 0.30/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t4 (not @t8)))) % 0.30/0.55 (step @p30 :rule bool-and-de-morgan :args (@t3 @t8 true)) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.30/0.55 (step @p32 :rule nary_cong :premises (@p31 @p26) :args ((and (not @t9) (not @t7)))) % 0.30/0.55 (step @p33 :rule bool-or-de-morgan :args (@t9 @t7 false)) % 0.30/0.55 (step @p34 :rule trans :premises (@p33 @p32)) % 0.30/0.55 (step @p35 :rule nary_cong :premises (@p28 @p23 @p34) :args (@t30)) % 0.30/0.55 (step @p36 :rule aci_norm :args ((= (or @t4 (or @t8 @t29)) @t30))) % 0.30/0.55 (step @p37 :rule bool-and-de-morgan :args (@t6 @t10 true)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p28 @p37) :args ((or @t4 (not (and @t6 @t10))))) % 0.30/0.55 (step @p39 :rule bool-and-de-morgan :args (@t3 @t6 (and @t10))) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p36)) % 0.30/0.55 (step @p42 :rule trans :premises (@p41 @p35)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42) :args (@t31)) % 0.30/0.55 (step @p44 :rule trans :premises (@p43 @p21)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44) :args (@t32)) % 0.30/0.56 (step @p46 :rule exists-elim :args ((= @t13 @t32))) % 0.30/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.30/0.56 (step @p48 :rule cong :premises (@p47) :args (@t14)) % 0.30/0.56 (step @p49 :rule trans :premises (@p48 @p4)) % 0.30/0.56 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 0.30/0.56 (step @p51 :rule trans :premises (@p50 @p3)) % 0.30/0.56 (step @p52 :rule cong :premises (@p51) :args (@t17)) % 0.30/0.56 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.30/0.56 (step @p54 :rule skolemize :premises (@p53)) % 0.30/0.56 (step @p55 :rule cnf_or_neg :args (@t41 2)) % 0.30/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t40) @t42 @t43)) % 0.30/0.56 (step @p57 :rule bool-double-not-elim :args (@t34)) % 0.30/0.56 (step @p58 :rule refl :args (@t41)) % 0.30/0.56 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t41 (not @t38)))) % 0.30/0.56 (step @p60 :rule cnf_or_neg :args (@t41 0)) % 0.30/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.30/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t34 @t41))) % 0.30/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p54) :args (@t34 @t42 @t43)) % 0.30/0.56 (step @p64 :rule cnf_or_neg :args (@t37 1)) % 0.30/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t38 @t37))) % 0.30/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t37 @t44 (@list @t34))) % 0.30/0.56 (step @p67 :rule bool-double-not-elim :args (@t35)) % 0.30/0.56 (step @p68 :rule nary_cong :premises (@p58 @p67) :args ((or @t41 (not @t36)))) % 0.30/0.56 (step @p69 :rule cnf_or_neg :args (@t41 1)) % 0.30/0.56 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.30/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t35 @t41))) % 0.30/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p54) :args (@t35 @t42 @t43)) % 0.30/0.56 (step @p73 :rule cnf_or_neg :args (@t39 1)) % 0.30/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t36 @t39))) % 0.30/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p72) :args (@t39 @t44 (@list @t35))) % 0.30/0.56 (step @p76 :rule cnf_and_neg :args (@t40)) % 0.30/0.56 (step @p77 false :rule chain_m_resolution :premises (@p76 @p75 @p66 @p56) :args (false (@list false false true) (@list @t39 @t37 @t40))) % 0.30/0.56 ) % 0.30/0.56 % SZS output end Proof % 0.30/0.56 % cvc5 exiting %------------------------------------------------------------------------------