%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV410^5 : 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 08:55:55 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV410^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n001.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 18:32:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.cB (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.cP (-> (-> $$unsorted Bool) Bool)) % 0.39/0.56 (declare-const tptp.cA (-> $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Xu" (-> $$unsorted Bool))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (_ tptp.cA @t1)) % 0.39/0.56 (define @t5 () (@list @t1)) % 0.39/0.56 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.39/0.56 (define @t7 () (_ tptp.cP @t2)) % 0.39/0.56 (define @t8 () (and @t7 @t6)) % 0.39/0.56 (define @t9 () (@list @t2)) % 0.39/0.56 (define @t10 () (exists @t9 @t8)) % 0.39/0.56 (define @t11 () (_ tptp.cB @t1)) % 0.39/0.56 (define @t12 () (or @t4 @t11)) % 0.39/0.56 (define @t13 () (lambda @t5 @t12)) % 0.39/0.56 (define @t14 () (_ tptp.cP @t13)) % 0.39/0.56 (define @t15 () (=> @t14 @t10)) % 0.39/0.56 (define @t16 () (not @t15)) % 0.39/0.56 (define @t17 () (_ @t2 @t1)) % 0.39/0.56 (define @t18 () (tptp.cA @t1)) % 0.39/0.56 (define @t19 () (not @t18)) % 0.39/0.56 (define @t20 () (forall @t5 (or @t19 @t17))) % 0.39/0.56 (define @t21 () (not @t20)) % 0.39/0.56 (define @t22 () (tptp.cP @t2)) % 0.39/0.56 (define @t23 () (not (forall @t9 (or (not @t22) @t21)))) % 0.39/0.56 (define @t24 () (@purify @t13)) % 0.39/0.56 (define @t25 () (tptp.cP @t24)) % 0.39/0.56 (define @t26 () (_ tptp.cP @t24)) % 0.39/0.56 (define @t27 () (=> @t14 @t23)) % 0.39/0.56 (define @t28 () (not @t7)) % 0.39/0.56 (define @t29 () (or @t28 @t21)) % 0.39/0.56 (define @t30 () (and @t7 @t20)) % 0.39/0.56 (define @t31 () (forall @t9 (not @t30))) % 0.39/0.56 (define @t32 () (not @t31)) % 0.39/0.56 (define @t33 () (not @t4)) % 0.39/0.56 (define @t34 () (or @t33 @t3)) % 0.39/0.56 (define @t35 () (_ @t24 @t1)) % 0.39/0.56 (define @t36 () (forall @t5 (or @t19 @t35))) % 0.39/0.56 (define @t37 () (not @t36)) % 0.39/0.56 (define @t38 () (not @t25)) % 0.39/0.56 (define @t39 () (or @t38 @t37)) % 0.39/0.56 (define @t40 () (@quantifiers_skolemize @t36 0)) % 0.39/0.56 (define @t41 () (_ @t24 @t40)) % 0.39/0.56 (define @t42 () (tptp.cA @t40)) % 0.39/0.56 (define @t43 () (not @t42)) % 0.39/0.56 (define @t44 () (or @t43 @t41)) % 0.39/0.56 (define @t45 () (@list true)) % 0.39/0.56 (define @t46 () (@list @t44)) % 0.39/0.56 (define @t47 () (or @t42 (tptp.cB @t40))) % 0.39/0.56 (define @t48 () (tptp.cB @t1)) % 0.39/0.56 (define @t49 () (or @t18 @t48)) % 0.39/0.56 (define @t50 () (= @t12 @t35)) % 0.39/0.56 (define @t51 () (_ @t13 @t1)) % 0.39/0.56 (define @t52 () (= @t35 @t51)) % 0.39/0.56 (define @t53 () (forall @t5 @t52)) % 0.39/0.56 (define @t54 () (= @t41 @t47)) % 0.39/0.56 (assume @p1 @t16) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule refl :args (@t23)) % 0.39/0.56 (step @p4 :rule refl :args (@t25)) % 0.39/0.56 (step @p5 :rule refl :args (@t26)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t26 @t25))) % 0.39/0.56 (step @p7 :rule symm :premises (@p6)) % 0.39/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.39/0.56 (step @p9 :rule eq-refl :args (@t13)) % 0.39/0.56 (step @p10 :rule skolem_intro :args (@t24)) % 0.39/0.56 (step @p11 :rule refl :args (@t13)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t13 @t24))) % 0.39/0.56 (step @p13 :rule trans :premises (@p12 @p9)) % 0.39/0.56 (step @p14 :rule true_elim :premises (@p13)) % 0.39/0.56 (step @p15 :rule refl :args (tptp.cP)) % 0.39/0.56 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.39/0.56 (step @p17 :rule trans :premises (@p16 @p8)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17 @p3) :args (@t27)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18) :args ((not @t27))) % 0.39/0.56 (step @p20 :rule refl :args (@t21)) % 0.39/0.56 (step @p21 :rule refl :args (@t22)) % 0.39/0.56 (step @p22 :rule refl :args (@t7)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t7 @t22))) % 0.39/0.56 (step @p24 :rule symm :premises (@p23)) % 0.39/0.56 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args (@t28)) % 0.39/0.56 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t29)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27) :args ((forall @t9 @t29))) % 0.39/0.56 (step @p29 :rule bool-and-de-morgan :args (@t7 @t20 true)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args (@t31)) % 0.39/0.56 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31) :args (@t32)) % 0.39/0.56 (step @p33 :rule exists-elim :args ((= (exists @t9 @t30) @t32))) % 0.39/0.56 (step @p34 :rule trans :premises (@p33 @p32)) % 0.39/0.56 (step @p35 :rule refl :args (@t17)) % 0.39/0.56 (step @p36 :rule refl :args (@t3)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t3 @t17))) % 0.39/0.56 (step @p38 :rule symm :premises (@p37)) % 0.39/0.56 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.39/0.56 (step @p40 :rule refl :args (@t18)) % 0.39/0.56 (step @p41 :rule refl :args (@t4)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t4 @t18))) % 0.39/0.56 (step @p43 :rule symm :premises (@p42)) % 0.39/0.56 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44) :args (@t33)) % 0.39/0.56 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t34)) % 0.39/0.56 (step @p47 :rule cong :premises (@p46) :args ((forall @t5 @t34))) % 0.39/0.56 (step @p48 :rule bool-impl-elim :args (@t4 @t3)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48) :args (@t6)) % 0.39/0.56 (step @p50 :rule trans :premises (@p49 @p47)) % 0.39/0.56 (step @p51 :rule refl :args (@t7)) % 0.39/0.56 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t8)) % 0.39/0.56 (step @p53 :rule cong :premises (@p52) :args (@t10)) % 0.39/0.56 (step @p54 :rule trans :premises (@p53 @p34)) % 0.39/0.56 (step @p55 :rule refl :args (@t14)) % 0.39/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args (@t15)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56) :args (@t16)) % 0.39/0.56 (step @p58 :rule trans :premises (@p57 @p19)) % 0.39/0.56 (step @p59 :rule eq_resolve :premises (@p1 @p58)) % 0.39/0.56 (step @p60 :rule not_implies_elim2 :premises (@p59)) % 0.39/0.56 (step @p61 :rule not_not_elim :premises (@p60)) % 0.39/0.56 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t24))) % 0.39/0.56 (step @p63 :rule not_implies_elim1 :premises (@p59)) % 0.39/0.56 (step @p64 :rule cnf_or_pos :args (@t39)) % 0.39/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t38 @t37 (not @t39)))) % 0.39/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p62) :args (@t37 (@list false false) (@list @t25 @t39))) % 0.39/0.56 (step @p67 :rule skolemize :premises (@p66)) % 0.39/0.56 (step @p68 :rule cnf_or_neg :args (@t44 1)) % 0.39/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p67) :args ((not @t41) @t45 @t46)) % 0.39/0.56 (step @p70 :rule bool-double-not-elim :args (@t42)) % 0.39/0.56 (step @p71 :rule refl :args (@t44)) % 0.39/0.56 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t44 (not @t43)))) % 0.39/0.56 (step @p73 :rule cnf_or_neg :args (@t44 0)) % 0.39/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.39/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t42 @t44))) % 0.39/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p67) :args (@t42 @t45 @t46)) % 0.39/0.56 (step @p77 :rule cnf_or_neg :args (@t47 0)) % 0.39/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t43 @t47))) % 0.39/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p76) :args (@t47 (@list false) (@list @t42))) % 0.39/0.56 (step @p80 :rule eq-symm :args (@t49 @t35)) % 0.39/0.56 (step @p81 :rule cong :premises (@p80) :args ((forall @t5 (= @t49 @t35)))) % 0.39/0.56 (step @p82 :rule refl :args (@t35)) % 0.39/0.56 (step @p83 :rule refl :args (@t48)) % 0.39/0.56 (step @p84 :rule refl :args (@t11)) % 0.39/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t11 @t48))) % 0.39/0.56 (step @p86 :rule symm :premises (@p85)) % 0.39/0.56 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.39/0.56 (step @p88 :rule nary_cong :premises (@p44 @p87) :args (@t12)) % 0.39/0.56 (step @p89 :rule cong :premises (@p88 @p82) :args (@t50)) % 0.39/0.56 (step @p90 :rule cong :premises (@p89) :args ((forall @t5 @t50))) % 0.39/0.56 (step @p91 :rule trans :premises (@p90 @p81)) % 0.39/0.56 (step @p92 :rule eq-symm :args (@t35 @t12)) % 0.39/0.56 (step @p93 :rule beta-reduce :args ((= @t51 @t12))) % 0.39/0.56 (step @p94 :rule refl :args (@t35)) % 0.39/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args (@t52)) % 0.39/0.56 (step @p96 :rule trans :premises (@p95 @p92)) % 0.39/0.56 (step @p97 :rule cong :premises (@p96) :args (@t53)) % 0.39/0.56 (step @p98 :rule trans :premises (@p97 @p91)) % 0.39/0.56 (step @p99 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.39/0.56 (step @p100 :rule eq-refl :args (@t51)) % 0.39/0.56 (step @p101 :rule cong :premises (@p100) :args ((forall @t5 (= @t51 @t51)))) % 0.39/0.56 (step @p102 :rule trans :premises (@p101 @p99)) % 0.39/0.56 (step @p103 :rule refl :args (@t51)) % 0.39/0.56 (step @p104 :rule refl :args (@t1)) % 0.39/0.56 (step @p105 :rule ho_cong :premises (@p10 @p104)) % 0.39/0.56 (step @p106 :rule cong :premises (@p105 @p103) :args (@t52)) % 0.39/0.56 (step @p107 :rule cong :premises (@p106) :args (@t53)) % 0.39/0.56 (step @p108 :rule trans :premises (@p107 @p102)) % 0.39/0.56 (step @p109 :rule true_elim :premises (@p108)) % 0.39/0.56 (step @p110 :rule eq_resolve :premises (@p109 @p98)) % 0.39/0.56 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t40))) % 0.39/0.56 (step @p112 :rule cnf_equiv_pos2 :args (@t54)) % 0.39/0.56 (step @p113 :rule reordering :premises (@p112) :args ((or @t41 (not @t47) (not @t54)))) % 0.39/0.56 (step @p114 false :rule chain_m_resolution :premises (@p113 @p111 @p79 @p69) :args (false (@list false false true) (@list @t54 @t47 @t41))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------