%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU516^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:52:01 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU516^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 17:40:18 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.setadjoinAx Bool) % 0.37/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t3 () (_ tptp.in @t2)) % 0.37/0.56 (define @t4 () (_ @t3 @t1)) % 0.37/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t6 () (or (= @t2 @t5) @t4)) % 0.37/0.56 (define @t7 () (_ (_ tptp.setadjoin @t5) @t1)) % 0.37/0.56 (define @t8 () (_ @t3 @t7)) % 0.37/0.56 (define @t9 () (= @t8 @t6)) % 0.37/0.56 (define @t10 () (@list @t5 @t1 @t2)) % 0.37/0.56 (define @t11 () (forall @t10 @t9)) % 0.37/0.56 (define @t12 () (= tptp.setadjoinAx @t11)) % 0.37/0.56 (define @t13 () (=> @t8 @t6)) % 0.37/0.56 (define @t14 () (forall @t10 @t13)) % 0.37/0.56 (define @t15 () (=> tptp.setadjoinAx @t14)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (tptp.in @t2 @t1)) % 0.37/0.56 (define @t18 () (= @t5 @t2)) % 0.37/0.56 (define @t19 () (tptp.setadjoin @t5 @t1)) % 0.37/0.56 (define @t20 () (tptp.in @t2 @t19)) % 0.37/0.56 (define @t21 () (forall @t10 (or (not @t20) @t18 @t17))) % 0.37/0.56 (define @t22 () (or @t18 @t4)) % 0.37/0.56 (define @t23 () (= @t8 @t22)) % 0.37/0.56 (define @t24 () (=> tptp.setadjoinAx @t21)) % 0.37/0.56 (define @t25 () (not @t8)) % 0.37/0.56 (define @t26 () (or @t25 @t18 @t4)) % 0.37/0.56 (define @t27 () (@quantifiers_skolemize @t21 1)) % 0.37/0.56 (define @t28 () (@quantifiers_skolemize @t21 0)) % 0.37/0.56 (define @t29 () (@quantifiers_skolemize @t21 2)) % 0.37/0.56 (define @t30 () (tptp.in @t29 (tptp.setadjoin @t28 @t27))) % 0.37/0.56 (define @t31 () (tptp.in @t29 @t27)) % 0.37/0.56 (define @t32 () (= @t28 @t29)) % 0.37/0.56 (define @t33 () (not @t30)) % 0.37/0.56 (define @t34 () (or @t33 @t32 @t31)) % 0.37/0.56 (define @t35 () (@list true)) % 0.37/0.56 (define @t36 () (@list @t34)) % 0.37/0.56 (define @t37 () (or @t32 @t31)) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (= @t30 @t37)) % 0.37/0.56 (assume @p1 @t12) % 0.37/0.56 (assume @p2 @t16) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 :rule refl :args (@t21)) % 0.37/0.56 (step @p5 :rule refl :args (@t17)) % 0.37/0.56 (step @p6 :rule refl :args (@t4)) % 0.37/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t17))) % 0.37/0.56 (step @p8 :rule symm :premises (@p7)) % 0.37/0.56 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.37/0.56 (step @p10 :rule refl :args (@t18)) % 0.37/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t22)) % 0.37/0.56 (step @p12 :rule refl :args ((tptp.in @t2 @t7))) % 0.37/0.56 (step @p13 :rule refl :args (@t19)) % 0.37/0.56 (step @p14 :rule refl :args (@t2)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args (@t20)) % 0.37/0.56 (step @p16 :rule trans :premises (@p15 @p12)) % 0.37/0.56 (step @p17 :rule refl :args (@t3)) % 0.37/0.56 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t3 @t19) @t20))) % 0.37/0.56 (step @p20 :rule symm :premises (@p19)) % 0.37/0.56 (step @p21 :rule refl :args (@t8)) % 0.37/0.56 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.37/0.56 (step @p23 :rule refl :args (@t7)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t7 @t19))) % 0.37/0.56 (step @p25 :rule symm :premises (@p24)) % 0.37/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.37/0.56 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p22)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28 @p11) :args (@t23)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 @t23))) % 0.37/0.56 (step @p31 :rule refl :args (@t4)) % 0.37/0.56 (step @p32 :rule eq-symm :args (@t2 @t5)) % 0.37/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t6)) % 0.37/0.56 (step @p34 :rule refl :args (@t8)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args (@t9)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.37/0.56 (step @p37 :rule trans :premises (@p36 @p30)) % 0.37/0.56 (step @p38 :rule refl :args (tptp.setadjoinAx)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args (@t12)) % 0.37/0.56 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p4) :args (@t24)) % 0.37/0.56 (step @p42 :rule cong :premises (@p41) :args ((not @t24))) % 0.37/0.56 (step @p43 :rule cong :premises (@p28) :args (@t25)) % 0.37/0.56 (step @p44 :rule nary_cong :premises (@p43 @p10 @p9) :args (@t26)) % 0.37/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t10 @t26))) % 0.37/0.56 (step @p46 :rule aci_norm :args ((= (or @t25 @t22) @t26))) % 0.37/0.56 (step @p47 :rule bool-impl-elim :args (@t8 @t22)) % 0.37/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.56 (step @p49 :rule cong :premises (@p48) :args ((forall @t10 (=> @t8 @t22)))) % 0.37/0.57 (step @p50 :rule trans :premises (@p49 @p45)) % 0.37/0.57 (step @p51 :rule cong :premises (@p34 @p33) :args (@t13)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t14)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p50)) % 0.37/0.57 (step @p54 :rule cong :premises (@p38 @p53) :args (@t15)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p42)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.37/0.57 (step @p58 :rule not_implies_elim2 :premises (@p57)) % 0.37/0.57 (step @p59 :rule skolemize :premises (@p58)) % 0.37/0.57 (step @p60 :rule bool-double-not-elim :args (@t30)) % 0.37/0.57 (step @p61 :rule refl :args (@t34)) % 0.37/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t34 (not @t33)))) % 0.37/0.57 (step @p63 :rule cnf_or_neg :args (@t34 0)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t30 @t34))) % 0.37/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t30 @t35 @t36)) % 0.37/0.57 (step @p67 :rule cnf_or_neg :args (@t34 2)) % 0.37/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p59) :args ((not @t31) @t35 @t36)) % 0.37/0.57 (step @p69 :rule cnf_or_neg :args (@t34 1)) % 0.37/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p59) :args ((not @t32) @t35 @t36)) % 0.37/0.57 (step @p71 :rule cnf_or_pos :args (@t37)) % 0.37/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t32 @t31 @t38))) % 0.37/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p68) :args (@t38 (@list true true) (@list @t32 @t31))) % 0.37/0.57 (step @p74 :rule not_implies_elim1 :premises (@p57)) % 0.37/0.57 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t28 @t27 @t29))) % 0.37/0.57 (step @p76 :rule cnf_equiv_pos1 :args (@t39)) % 0.37/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t33 @t37 (not @t39)))) % 0.37/0.57 (step @p78 false :rule chain_m_resolution :premises (@p77 @p75 @p73 @p66) :args (false (@list false true false) (@list @t39 @t37 @t30))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------