%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU514^2 : 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 : n028.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 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU514^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:40:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.setadjoinAx Bool) % 0.32/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "Xy" $$unsorted)) % 0.32/0.57 (define @t3 () (_ tptp.in @t2)) % 0.32/0.57 (define @t4 () (_ @t3 @t1)) % 0.32/0.57 (define @t5 () (@var "Xx" $$unsorted)) % 0.32/0.57 (define @t6 () (or (= @t2 @t5) @t4)) % 0.32/0.57 (define @t7 () (_ (_ tptp.setadjoin @t5) @t1)) % 0.32/0.57 (define @t8 () (_ @t3 @t7)) % 0.32/0.57 (define @t9 () (= @t8 @t6)) % 0.32/0.57 (define @t10 () (@list @t5 @t1 @t2)) % 0.32/0.57 (define @t11 () (forall @t10 @t9)) % 0.32/0.57 (define @t12 () (= tptp.setadjoinAx @t11)) % 0.32/0.57 (define @t13 () (forall @t10 (=> @t4 @t8))) % 0.32/0.57 (define @t14 () (=> tptp.setadjoinAx @t13)) % 0.32/0.57 (define @t15 () (not @t14)) % 0.32/0.57 (define @t16 () (tptp.setadjoin @t5 @t1)) % 0.32/0.57 (define @t17 () (tptp.in @t2 @t16)) % 0.32/0.57 (define @t18 () (tptp.in @t2 @t1)) % 0.32/0.57 (define @t19 () (forall @t10 (or (not @t18) @t17))) % 0.32/0.57 (define @t20 () (= @t5 @t2)) % 0.32/0.57 (define @t21 () (or @t20 @t4)) % 0.32/0.57 (define @t22 () (= @t8 @t21)) % 0.32/0.57 (define @t23 () (=> tptp.setadjoinAx @t19)) % 0.32/0.57 (define @t24 () (not @t4)) % 0.32/0.57 (define @t25 () (or @t24 @t8)) % 0.32/0.57 (define @t26 () (@quantifiers_skolemize @t19 1)) % 0.32/0.57 (define @t27 () (@quantifiers_skolemize @t19 0)) % 0.32/0.57 (define @t28 () (@quantifiers_skolemize @t19 2)) % 0.32/0.57 (define @t29 () (tptp.in @t28 (tptp.setadjoin @t27 @t26))) % 0.32/0.57 (define @t30 () (tptp.in @t28 @t26)) % 0.32/0.57 (define @t31 () (not @t30)) % 0.32/0.57 (define @t32 () (or @t31 @t29)) % 0.32/0.57 (define @t33 () (@list true)) % 0.32/0.57 (define @t34 () (@list @t32)) % 0.32/0.57 (define @t35 () (or (= @t27 @t28) @t30)) % 0.32/0.57 (define @t36 () (= @t29 @t35)) % 0.32/0.57 (assume @p1 @t12) % 0.32/0.57 (assume @p2 @t15) % 0.32/0.57 (assume @p3 true) % 0.32/0.57 (step @p4 :rule refl :args (@t19)) % 0.32/0.57 (step @p5 :rule refl :args (@t18)) % 0.32/0.57 (step @p6 :rule refl :args (@t4)) % 0.32/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t18))) % 0.32/0.57 (step @p8 :rule symm :premises (@p7)) % 0.32/0.57 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.32/0.57 (step @p10 :rule refl :args (@t20)) % 0.32/0.57 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t21)) % 0.32/0.57 (step @p12 :rule refl :args ((tptp.in @t2 @t7))) % 0.32/0.57 (step @p13 :rule refl :args (@t16)) % 0.32/0.57 (step @p14 :rule refl :args (@t2)) % 0.32/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args (@t17)) % 0.32/0.57 (step @p16 :rule trans :premises (@p15 @p12)) % 0.32/0.57 (step @p17 :rule refl :args (@t3)) % 0.32/0.57 (step @p18 :rule ho_cong :premises (@p17 @p13)) % 0.32/0.57 (step @p19 :rule cong :premises (@p18 @p16) :args ((= (_ @t3 @t16) @t17))) % 0.32/0.57 (step @p20 :rule symm :premises (@p19)) % 0.32/0.57 (step @p21 :rule refl :args (@t8)) % 0.32/0.57 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.32/0.57 (step @p23 :rule refl :args (@t7)) % 0.32/0.57 (step @p24 :rule cong :premises (@p23 @p13) :args ((= @t7 @t16))) % 0.32/0.57 (step @p25 :rule symm :premises (@p24)) % 0.32/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.32/0.57 (step @p27 :rule ho_cong :premises (@p17 @p26)) % 0.32/0.57 (step @p28 :rule trans :premises (@p27 @p22)) % 0.32/0.57 (step @p29 :rule cong :premises (@p28 @p11) :args (@t22)) % 0.32/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 @t22))) % 0.32/0.57 (step @p31 :rule refl :args (@t4)) % 0.32/0.57 (step @p32 :rule eq-symm :args (@t2 @t5)) % 0.32/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t6)) % 0.32/0.57 (step @p34 :rule refl :args (@t8)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args (@t9)) % 0.32/0.57 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.32/0.57 (step @p37 :rule trans :premises (@p36 @p30)) % 0.32/0.57 (step @p38 :rule refl :args (tptp.setadjoinAx)) % 0.32/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t12)) % 0.32/0.57 (step @p40 :rule eq_resolve :premises (@p1 @p39)) % 0.32/0.57 (step @p41 :rule cong :premises (@p40 @p4) :args (@t23)) % 0.32/0.57 (step @p42 :rule cong :premises (@p41) :args ((not @t23))) % 0.32/0.57 (step @p43 :rule cong :premises (@p9) :args (@t24)) % 0.32/0.57 (step @p44 :rule nary_cong :premises (@p43 @p28) :args (@t25)) % 0.32/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t10 @t25))) % 0.32/0.57 (step @p46 :rule bool-impl-elim :args (@t4 @t8)) % 0.32/0.57 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.32/0.57 (step @p49 :rule cong :premises (@p38 @p48) :args (@t14)) % 0.32/0.57 (step @p50 :rule cong :premises (@p49) :args (@t15)) % 0.32/0.57 (step @p51 :rule trans :premises (@p50 @p42)) % 0.32/0.57 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 0.32/0.57 (step @p53 :rule not_implies_elim2 :premises (@p52)) % 0.32/0.57 (step @p54 :rule skolemize :premises (@p53)) % 0.32/0.57 (step @p55 :rule cnf_or_neg :args (@t32 1)) % 0.32/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p54) :args ((not @t29) @t33 @t34)) % 0.32/0.57 (step @p57 :rule bool-double-not-elim :args (@t30)) % 0.32/0.57 (step @p58 :rule refl :args (@t32)) % 0.32/0.57 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t32 (not @t31)))) % 0.32/0.57 (step @p60 :rule cnf_or_neg :args (@t32 0)) % 0.32/0.57 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.32/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t30 @t32))) % 0.32/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p54) :args (@t30 @t33 @t34)) % 0.32/0.57 (step @p64 :rule cnf_or_neg :args (@t35 1)) % 0.32/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t31 @t35))) % 0.32/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p63) :args (@t35 (@list false) (@list @t30))) % 0.32/0.57 (step @p67 :rule not_implies_elim1 :premises (@p52)) % 0.32/0.57 (step @p68 :rule instantiate :premises (@p67) :args ((@list @t27 @t26 @t28))) % 0.32/0.57 (step @p69 :rule cnf_equiv_pos2 :args (@t36)) % 0.32/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t29 (not @t35) (not @t36)))) % 0.32/0.57 (step @p71 false :rule chain_m_resolution :premises (@p70 @p68 @p66 @p56) :args (false (@list false false true) (@list @t36 @t35 @t29))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------