%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV393^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV393^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:31:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.33/0.56 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.33/0.56 (define @t2 () (_ tptp.cS @t1)) % 0.33/0.56 (define @t3 () (_ tptp.cR @t1)) % 0.33/0.56 (define @t4 () (@list @t1)) % 0.33/0.56 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.33/0.56 (define @t6 () (and @t3 @t2)) % 0.33/0.56 (define @t7 () (lambda @t4 @t6)) % 0.33/0.56 (define @t8 () (@var "Xz" $$unsorted)) % 0.33/0.56 (define @t9 () (lambda (@list @t8) (or (_ tptp.cR @t8) (_ tptp.cS @t8)))) % 0.33/0.56 (define @t10 () (= @t9 @t7)) % 0.33/0.56 (define @t11 () (=> @t10 @t5)) % 0.33/0.56 (define @t12 () (not @t11)) % 0.33/0.56 (define @t13 () (tptp.cS @t1)) % 0.33/0.56 (define @t14 () (tptp.cR @t1)) % 0.33/0.56 (define @t15 () (forall @t4 (or (not @t14) @t13))) % 0.33/0.56 (define @t16 () (@purify @t9)) % 0.33/0.56 (define @t17 () (@purify @t7)) % 0.33/0.56 (define @t18 () (=> @t10 @t15)) % 0.33/0.56 (define @t19 () (not @t3)) % 0.33/0.56 (define @t20 () (or @t19 @t2)) % 0.33/0.56 (define @t21 () (or @t3 @t2)) % 0.33/0.56 (define @t22 () (= @t6 @t21)) % 0.33/0.56 (define @t23 () (forall @t4 @t22)) % 0.33/0.56 (define @t24 () (= @t17 @t16)) % 0.33/0.56 (define @t25 () (=> @t24 @t23)) % 0.33/0.56 (define @t26 () (@list false)) % 0.33/0.56 (define @t27 () (@quantifiers_skolemize @t15 0)) % 0.33/0.56 (define @t28 () (tptp.cS @t27)) % 0.33/0.56 (define @t29 () (tptp.cR @t27)) % 0.33/0.56 (define @t30 () (not @t29)) % 0.33/0.56 (define @t31 () (or @t30 @t28)) % 0.33/0.56 (define @t32 () (@list true)) % 0.33/0.56 (define @t33 () (@list @t31)) % 0.33/0.56 (define @t34 () (and @t29 @t28)) % 0.33/0.56 (define @t35 () (not @t34)) % 0.33/0.56 (define @t36 () (or @t29 @t28)) % 0.33/0.56 (define @t37 () (= @t34 @t36)) % 0.33/0.56 (assume @p1 @t12) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule refl :args (@t15)) % 0.33/0.56 (step @p4 :rule eq-symm :args (@t16 @t17)) % 0.33/0.56 (step @p5 :rule eq-refl :args (@t7)) % 0.33/0.56 (step @p6 :rule skolem_intro :args (@t17)) % 0.33/0.56 (step @p7 :rule refl :args (@t7)) % 0.33/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t7 @t17))) % 0.33/0.56 (step @p9 :rule trans :premises (@p8 @p5)) % 0.33/0.56 (step @p10 :rule true_elim :premises (@p9)) % 0.33/0.56 (step @p11 :rule eq-refl :args (@t9)) % 0.33/0.56 (step @p12 :rule skolem_intro :args (@t16)) % 0.33/0.56 (step @p13 :rule refl :args (@t9)) % 0.33/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t9 @t16))) % 0.33/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.33/0.56 (step @p16 :rule true_elim :premises (@p15)) % 0.33/0.56 (step @p17 :rule cong :premises (@p16 @p10) :args (@t10)) % 0.33/0.56 (step @p18 :rule trans :premises (@p17 @p4)) % 0.33/0.56 (step @p19 :rule cong :premises (@p18 @p3) :args (@t18)) % 0.33/0.56 (step @p20 :rule cong :premises (@p19) :args ((not @t18))) % 0.33/0.56 (step @p21 :rule refl :args (@t13)) % 0.33/0.56 (step @p22 :rule refl :args (@t2)) % 0.33/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t2 @t13))) % 0.33/0.56 (step @p24 :rule symm :premises (@p23)) % 0.33/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.33/0.56 (step @p26 :rule refl :args (@t14)) % 0.33/0.56 (step @p27 :rule refl :args (@t3)) % 0.33/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t3 @t14))) % 0.33/0.56 (step @p29 :rule symm :premises (@p28)) % 0.33/0.56 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.33/0.56 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.33/0.56 (step @p32 :rule nary_cong :premises (@p31 @p25) :args (@t20)) % 0.33/0.56 (step @p33 :rule cong :premises (@p32) :args ((forall @t4 @t20))) % 0.33/0.56 (step @p34 :rule bool-impl-elim :args (@t3 @t2)) % 0.33/0.56 (step @p35 :rule cong :premises (@p34) :args (@t5)) % 0.33/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.33/0.56 (step @p37 :rule refl :args (@t10)) % 0.33/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t11)) % 0.33/0.56 (step @p39 :rule cong :premises (@p38) :args (@t12)) % 0.33/0.56 (step @p40 :rule trans :premises (@p39 @p20)) % 0.33/0.56 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.33/0.56 (step @p42 :rule not_implies_elim1 :premises (@p41)) % 0.33/0.56 (step @p43 :rule nary_cong :premises (@p30 @p25) :args (@t21)) % 0.33/0.56 (step @p44 :rule nary_cong :premises (@p30 @p25) :args (@t6)) % 0.33/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t22)) % 0.33/0.56 (step @p46 :rule cong :premises (@p45) :args (@t23)) % 0.33/0.56 (step @p47 :rule refl :args (@t24)) % 0.33/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t25)) % 0.33/0.56 ; WARNING: add trust step for TRUST % 0.33/0.56 ; trust TRUST THEORY_LEMMA % 0.33/0.56 (step @p49 :rule trust :premises () :args (@t25)) % 0.33/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.33/0.56 (step @p51 :rule implies_elim :premises (@p50)) % 0.33/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p42) :args ((forall @t4 (= (and @t14 @t13) (or @t14 @t13))) @t26 (@list @t24))) % 0.33/0.57 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t27))) % 0.33/0.57 (step @p54 :rule not_implies_elim2 :premises (@p41)) % 0.33/0.57 (step @p55 :rule skolemize :premises (@p54)) % 0.33/0.57 (step @p56 :rule cnf_or_neg :args (@t31 1)) % 0.33/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t28) @t32 @t33)) % 0.33/0.57 (step @p58 :rule cnf_and_pos :args (@t34 1)) % 0.33/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t28 @t35))) % 0.33/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t35 @t32 (@list @t28))) % 0.33/0.57 (step @p61 :rule bool-double-not-elim :args (@t29)) % 0.33/0.57 (step @p62 :rule refl :args (@t31)) % 0.33/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t31 (not @t30)))) % 0.33/0.57 (step @p64 :rule cnf_or_neg :args (@t31 0)) % 0.33/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.33/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t29 @t31))) % 0.33/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p55) :args (@t29 @t32 @t33)) % 0.33/0.57 (step @p68 :rule cnf_or_neg :args (@t36 0)) % 0.33/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t30 @t36))) % 0.33/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t36 @t26 (@list @t29))) % 0.33/0.57 (step @p71 :rule cnf_equiv_pos2 :args (@t37)) % 0.33/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t34 (not @t36) (not @t37)))) % 0.33/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p70 @p60 @p53) :args (false (@list false true false) (@list @t36 @t34 @t37))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------