%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV389^5 : 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 08:55:53 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV389^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.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 18:32:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cS (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "Xx" $$unsorted)) % 0.38/0.57 (define @t2 () (_ tptp.cS @t1)) % 0.38/0.57 (define @t3 () (_ tptp.cR @t1)) % 0.38/0.57 (define @t4 () (@list @t1)) % 0.38/0.57 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.38/0.57 (define @t6 () (lambda @t4 (and @t3 @t2))) % 0.38/0.57 (define @t7 () (= tptp.cR @t6)) % 0.38/0.57 (define @t8 () (=> @t7 @t5)) % 0.38/0.57 (define @t9 () (not @t8)) % 0.38/0.57 (define @t10 () (tptp.cS @t1)) % 0.38/0.57 (define @t11 () (tptp.cR @t1)) % 0.38/0.57 (define @t12 () (forall @t4 (or (not @t11) @t10))) % 0.38/0.57 (define @t13 () (@purify @t6)) % 0.38/0.57 (define @t14 () (=> @t7 @t12)) % 0.38/0.57 (define @t15 () (not @t3)) % 0.38/0.57 (define @t16 () (or @t15 @t2)) % 0.38/0.57 (define @t17 () (@quantifiers_skolemize @t12 0)) % 0.38/0.57 (define @t18 () (tptp.cR @t17)) % 0.38/0.57 (define @t19 () (tptp.cS @t17)) % 0.38/0.57 (define @t20 () (not @t18)) % 0.38/0.57 (define @t21 () (or @t20 @t19)) % 0.38/0.57 (define @t22 () (@list true)) % 0.38/0.57 (define @t23 () (@list @t21)) % 0.38/0.57 (define @t24 () (and @t18 @t19)) % 0.38/0.57 (define @t25 () (not @t24)) % 0.38/0.57 (define @t26 () (_ tptp.cS @t17)) % 0.38/0.57 (define @t27 () (_ tptp.cR @t17)) % 0.38/0.57 (define @t28 () (and @t27 @t26)) % 0.38/0.57 (define @t29 () (= @t18 @t28)) % 0.38/0.57 (define @t30 () (= tptp.cR @t13)) % 0.38/0.57 (define @t31 () (=> @t30 @t29)) % 0.38/0.57 (define @t32 () (= @t18 @t24)) % 0.38/0.57 (assume @p1 @t9) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule refl :args (@t12)) % 0.38/0.57 (step @p4 :rule eq-refl :args (@t6)) % 0.38/0.57 (step @p5 :rule skolem_intro :args (@t13)) % 0.38/0.57 (step @p6 :rule refl :args (@t6)) % 0.38/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t6 @t13))) % 0.38/0.57 (step @p8 :rule trans :premises (@p7 @p4)) % 0.38/0.57 (step @p9 :rule true_elim :premises (@p8)) % 0.38/0.57 (step @p10 :rule refl :args (tptp.cR)) % 0.38/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args (@t7)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p3) :args (@t14)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args ((not @t14))) % 0.38/0.57 (step @p14 :rule refl :args (@t10)) % 0.38/0.57 (step @p15 :rule refl :args (@t2)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t2 @t10))) % 0.38/0.57 (step @p17 :rule symm :premises (@p16)) % 0.38/0.57 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.38/0.57 (step @p19 :rule refl :args (@t11)) % 0.38/0.57 (step @p20 :rule refl :args (@t3)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t3 @t11))) % 0.38/0.57 (step @p22 :rule symm :premises (@p21)) % 0.38/0.57 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.38/0.57 (step @p24 :rule cong :premises (@p23) :args (@t15)) % 0.38/0.57 (step @p25 :rule nary_cong :premises (@p24 @p18) :args (@t16)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25) :args ((forall @t4 @t16))) % 0.38/0.57 (step @p27 :rule bool-impl-elim :args (@t3 @t2)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args (@t5)) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p26)) % 0.38/0.57 (step @p30 :rule refl :args (@t7)) % 0.38/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t8)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t9)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p13)) % 0.38/0.57 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.38/0.57 (step @p35 :rule not_implies_elim2 :premises (@p34)) % 0.38/0.57 (step @p36 :rule skolemize :premises (@p35)) % 0.38/0.57 (step @p37 :rule bool-double-not-elim :args (@t18)) % 0.38/0.57 (step @p38 :rule refl :args (@t21)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t21 (not @t20)))) % 0.38/0.57 (step @p40 :rule cnf_or_neg :args (@t21 0)) % 0.38/0.57 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t18 @t21))) % 0.38/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t18 @t22 @t23)) % 0.38/0.57 (step @p44 :rule cnf_or_neg :args (@t21 1)) % 0.38/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args ((not @t19) @t22 @t23)) % 0.38/0.57 (step @p46 :rule cnf_and_pos :args (@t24 1)) % 0.38/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t19 @t25))) % 0.38/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p45) :args (@t25 @t22 (@list @t19))) % 0.38/0.57 (step @p49 :rule not_implies_elim1 :premises (@p34)) % 0.38/0.57 (step @p50 :rule refl :args (@t19)) % 0.38/0.57 (step @p51 :rule refl :args (@t26)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t26 @t19))) % 0.38/0.57 (step @p53 :rule symm :premises (@p52)) % 0.38/0.57 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.38/0.57 (step @p55 :rule refl :args (@t18)) % 0.38/0.58 (step @p56 :rule refl :args (@t27)) % 0.38/0.58 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t27 @t18))) % 0.38/0.58 (step @p58 :rule symm :premises (@p57)) % 0.38/0.58 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.38/0.58 (step @p60 :rule nary_cong :premises (@p59 @p54) :args (@t28)) % 0.38/0.58 (step @p61 :rule refl :args (@t18)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61 @p60) :args (@t29)) % 0.38/0.58 (step @p63 :rule refl :args (@t30)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args (@t31)) % 0.38/0.58 ; WARNING: add trust step for TRUST % 0.38/0.58 ; trust TRUST THEORY_LEMMA % 0.38/0.58 (step @p65 :rule trust :premises () :args (@t31)) % 0.38/0.58 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.38/0.58 (step @p67 :rule implies_elim :premises (@p66)) % 0.38/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p49) :args (@t32 (@list false) (@list @t30))) % 0.38/0.58 (step @p69 :rule cnf_equiv_pos1 :args (@t32)) % 0.38/0.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t20 @t24 (not @t32)))) % 0.38/0.58 (step @p71 false :rule chain_m_resolution :premises (@p70 @p68 @p48 @p43) :args (false (@list false true false) (@list @t32 @t24 @t18))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------