%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV392^5 : 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 : n022.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 08:55:53 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV392^5 : 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 % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:31:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.29/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.29/0.55 (define @t2 () (_ tptp.cS @t1)) % 0.29/0.55 (define @t3 () (_ tptp.cR @t1)) % 0.29/0.55 (define @t4 () (@list @t1)) % 0.29/0.55 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.29/0.55 (define @t6 () (@var "Xz" $$unsorted)) % 0.29/0.55 (define @t7 () (_ tptp.cS @t6)) % 0.29/0.55 (define @t8 () (_ tptp.cR @t6)) % 0.29/0.55 (define @t9 () (or @t8 @t7)) % 0.29/0.55 (define @t10 () (@list @t6)) % 0.29/0.55 (define @t11 () (lambda @t10 @t9)) % 0.29/0.55 (define @t12 () (lambda @t4 (and @t3 @t2))) % 0.29/0.55 (define @t13 () (= @t12 @t11)) % 0.29/0.55 (define @t14 () (=> @t13 @t5)) % 0.29/0.55 (define @t15 () (not @t14)) % 0.29/0.55 (define @t16 () (tptp.cS @t1)) % 0.29/0.55 (define @t17 () (tptp.cR @t1)) % 0.29/0.55 (define @t18 () (forall @t4 (or (not @t17) @t16))) % 0.29/0.55 (define @t19 () (@purify @t12)) % 0.29/0.55 (define @t20 () (@purify @t11)) % 0.29/0.55 (define @t21 () (=> @t13 @t18)) % 0.29/0.55 (define @t22 () (not @t3)) % 0.29/0.55 (define @t23 () (or @t22 @t2)) % 0.29/0.55 (define @t24 () (tptp.cS @t6)) % 0.29/0.55 (define @t25 () (tptp.cR @t6)) % 0.29/0.55 (define @t26 () (and @t8 @t7)) % 0.29/0.55 (define @t27 () (= @t9 @t26)) % 0.29/0.55 (define @t28 () (forall @t10 @t27)) % 0.29/0.55 (define @t29 () (= @t20 @t19)) % 0.29/0.55 (define @t30 () (=> @t29 @t28)) % 0.29/0.55 (define @t31 () (@list false)) % 0.29/0.55 (define @t32 () (@quantifiers_skolemize @t18 0)) % 0.29/0.55 (define @t33 () (tptp.cR @t32)) % 0.29/0.55 (define @t34 () (tptp.cS @t32)) % 0.29/0.55 (define @t35 () (not @t33)) % 0.29/0.55 (define @t36 () (or @t35 @t34)) % 0.29/0.55 (define @t37 () (@list true)) % 0.29/0.55 (define @t38 () (@list @t36)) % 0.29/0.55 (define @t39 () (or @t33 @t34)) % 0.29/0.55 (define @t40 () (and @t33 @t34)) % 0.29/0.55 (define @t41 () (not @t40)) % 0.29/0.55 (define @t42 () (= @t39 @t40)) % 0.29/0.55 (assume @p1 @t15) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule refl :args (@t18)) % 0.29/0.55 (step @p4 :rule eq-symm :args (@t19 @t20)) % 0.29/0.55 (step @p5 :rule eq-refl :args (@t11)) % 0.29/0.55 (step @p6 :rule skolem_intro :args (@t20)) % 0.29/0.55 (step @p7 :rule refl :args (@t11)) % 0.29/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t11 @t20))) % 0.29/0.55 (step @p9 :rule trans :premises (@p8 @p5)) % 0.29/0.55 (step @p10 :rule true_elim :premises (@p9)) % 0.29/0.55 (step @p11 :rule eq-refl :args (@t12)) % 0.29/0.55 (step @p12 :rule skolem_intro :args (@t19)) % 0.29/0.55 (step @p13 :rule refl :args (@t12)) % 0.29/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t12 @t19))) % 0.29/0.55 (step @p15 :rule trans :premises (@p14 @p11)) % 0.29/0.55 (step @p16 :rule true_elim :premises (@p15)) % 0.29/0.55 (step @p17 :rule cong :premises (@p16 @p10) :args (@t13)) % 0.29/0.55 (step @p18 :rule trans :premises (@p17 @p4)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18 @p3) :args (@t21)) % 0.29/0.55 (step @p20 :rule cong :premises (@p19) :args ((not @t21))) % 0.29/0.55 (step @p21 :rule refl :args (@t16)) % 0.29/0.55 (step @p22 :rule refl :args (@t2)) % 0.29/0.55 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t2 @t16))) % 0.29/0.55 (step @p24 :rule symm :premises (@p23)) % 0.29/0.55 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.29/0.55 (step @p26 :rule refl :args (@t17)) % 0.29/0.55 (step @p27 :rule refl :args (@t3)) % 0.29/0.55 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t3 @t17))) % 0.29/0.55 (step @p29 :rule symm :premises (@p28)) % 0.29/0.55 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.29/0.55 (step @p31 :rule cong :premises (@p30) :args (@t22)) % 0.29/0.55 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t23)) % 0.29/0.55 (step @p33 :rule cong :premises (@p32) :args ((forall @t4 @t23))) % 0.29/0.55 (step @p34 :rule bool-impl-elim :args (@t3 @t2)) % 0.29/0.55 (step @p35 :rule cong :premises (@p34) :args (@t5)) % 0.29/0.55 (step @p36 :rule trans :premises (@p35 @p33)) % 0.29/0.55 (step @p37 :rule refl :args (@t13)) % 0.29/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args (@t14)) % 0.29/0.55 (step @p39 :rule cong :premises (@p38) :args (@t15)) % 0.29/0.55 (step @p40 :rule trans :premises (@p39 @p20)) % 0.29/0.55 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.29/0.55 (step @p42 :rule not_implies_elim1 :premises (@p41)) % 0.29/0.55 (step @p43 :rule refl :args (@t24)) % 0.29/0.55 (step @p44 :rule refl :args (@t7)) % 0.29/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t7 @t24))) % 0.29/0.55 (step @p46 :rule symm :premises (@p45)) % 0.29/0.55 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.29/0.55 (step @p48 :rule refl :args (@t25)) % 0.29/0.55 (step @p49 :rule refl :args (@t8)) % 0.29/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t8 @t25))) % 0.29/0.55 (step @p51 :rule symm :premises (@p50)) % 0.29/0.55 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.34/0.56 (step @p53 :rule nary_cong :premises (@p52 @p47) :args (@t26)) % 0.34/0.56 (step @p54 :rule nary_cong :premises (@p52 @p47) :args (@t9)) % 0.34/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args (@t27)) % 0.34/0.56 (step @p56 :rule cong :premises (@p55) :args (@t28)) % 0.34/0.56 (step @p57 :rule refl :args (@t29)) % 0.34/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args (@t30)) % 0.34/0.56 ; WARNING: add trust step for TRUST % 0.34/0.56 ; trust TRUST THEORY_LEMMA % 0.34/0.56 (step @p59 :rule trust :premises () :args (@t30)) % 0.34/0.56 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.34/0.56 (step @p61 :rule implies_elim :premises (@p60)) % 0.34/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p42) :args ((forall @t10 (= (or @t25 @t24) (and @t25 @t24))) @t31 (@list @t29))) % 0.34/0.56 (step @p63 :rule instantiate :premises (@p62) :args ((@list @t32))) % 0.34/0.56 (step @p64 :rule not_implies_elim2 :premises (@p41)) % 0.34/0.56 (step @p65 :rule skolemize :premises (@p64)) % 0.34/0.56 (step @p66 :rule bool-double-not-elim :args (@t33)) % 0.34/0.56 (step @p67 :rule refl :args (@t36)) % 0.34/0.56 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t36 (not @t35)))) % 0.34/0.56 (step @p69 :rule cnf_or_neg :args (@t36 0)) % 0.34/0.56 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.34/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t33 @t36))) % 0.34/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t33 @t37 @t38)) % 0.34/0.56 (step @p73 :rule cnf_or_neg :args (@t39 0)) % 0.34/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t35 @t39))) % 0.34/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p72) :args (@t39 @t31 (@list @t33))) % 0.34/0.56 (step @p76 :rule cnf_or_neg :args (@t36 1)) % 0.34/0.56 (step @p77 :rule chain_m_resolution :premises (@p76 @p65) :args ((not @t34) @t37 @t38)) % 0.34/0.56 (step @p78 :rule cnf_and_pos :args (@t40 1)) % 0.34/0.56 (step @p79 :rule reordering :premises (@p78) :args ((or @t34 @t41))) % 0.34/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t41 @t37 (@list @t34))) % 0.34/0.56 (step @p81 :rule cnf_equiv_pos1 :args (@t42)) % 0.34/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t40 (not @t39) (not @t42)))) % 0.34/0.56 (step @p83 false :rule chain_m_resolution :premises (@p82 @p80 @p75 @p63) :args (false (@list true false false) (@list @t40 @t39 @t42))) % 0.34/0.56 ) % 0.34/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------