%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU521^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:52:02 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU521^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:40:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.powersetAx Bool) % 0.38/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t3 () (_ tptp.in @t2)) % 0.38/0.56 (define @t4 () (_ @t3 @t1)) % 0.38/0.56 (define @t5 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t6 () (_ @t3 @t5)) % 0.38/0.56 (define @t7 () (=> @t6 @t4)) % 0.38/0.56 (define @t8 () (@list @t2)) % 0.38/0.56 (define @t9 () (forall @t8 @t7)) % 0.38/0.56 (define @t10 () (_ tptp.powerset @t1)) % 0.38/0.56 (define @t11 () (_ tptp.in @t5)) % 0.38/0.56 (define @t12 () (_ @t11 @t10)) % 0.38/0.56 (define @t13 () (= @t12 @t9)) % 0.38/0.56 (define @t14 () (@list @t1 @t5)) % 0.38/0.56 (define @t15 () (forall @t14 @t13)) % 0.38/0.56 (define @t16 () (= tptp.powersetAx @t15)) % 0.38/0.56 (define @t17 () (@list @t1 @t5 @t2)) % 0.38/0.56 (define @t18 () (forall @t17 (=> @t12 @t7))) % 0.38/0.56 (define @t19 () (=> tptp.powersetAx @t18)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (tptp.in @t2 @t1)) % 0.38/0.56 (define @t22 () (tptp.in @t2 @t5)) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (tptp.powerset @t1)) % 0.38/0.56 (define @t25 () (tptp.in @t5 @t24)) % 0.38/0.56 (define @t26 () (forall @t17 (or (not @t25) @t23 @t21))) % 0.38/0.56 (define @t27 () (forall @t8 (or @t23 @t21))) % 0.38/0.56 (define @t28 () (= @t12 @t27)) % 0.38/0.56 (define @t29 () (not @t6)) % 0.38/0.56 (define @t30 () (or @t29 @t4)) % 0.38/0.56 (define @t31 () (=> tptp.powersetAx @t26)) % 0.38/0.56 (define @t32 () (not @t12)) % 0.38/0.56 (define @t33 () (or @t32 @t29 @t4)) % 0.38/0.56 (define @t34 () (@quantifiers_skolemize @t26 0)) % 0.38/0.56 (define @t35 () (@quantifiers_skolemize @t26 1)) % 0.38/0.56 (define @t36 () (forall @t8 (or (not (tptp.in @t2 @t35)) (tptp.in @t2 @t34)))) % 0.38/0.56 (define @t37 () (tptp.in @t35 (tptp.powerset @t34))) % 0.38/0.56 (define @t38 () (forall @t14 (= @t27 @t25))) % 0.38/0.56 (define @t39 () (= @t36 @t37)) % 0.38/0.56 (define @t40 () (= @t37 @t36)) % 0.38/0.56 (define @t41 () (@quantifiers_skolemize @t26 2)) % 0.38/0.56 (define @t42 () (tptp.in @t41 @t34)) % 0.38/0.56 (define @t43 () (tptp.in @t41 @t35)) % 0.38/0.56 (define @t44 () (not @t43)) % 0.38/0.56 (define @t45 () (not @t37)) % 0.38/0.56 (define @t46 () (or @t45 @t44 @t42)) % 0.38/0.56 (define @t47 () (@list true)) % 0.38/0.56 (define @t48 () (@list @t46)) % 0.38/0.56 (define @t49 () (or @t44 @t42)) % 0.38/0.56 (define @t50 () (not @t49)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 @t20) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (step @p4 :rule refl :args (@t26)) % 0.38/0.56 (step @p5 :rule eq-symm :args (@t25 @t27)) % 0.38/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t14 (= @t25 @t27)))) % 0.38/0.56 (step @p7 :rule refl :args (@t27)) % 0.38/0.56 (step @p8 :rule refl :args ((tptp.in @t5 @t10))) % 0.38/0.56 (step @p9 :rule refl :args (@t24)) % 0.38/0.56 (step @p10 :rule refl :args (@t5)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t25)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.38/0.56 (step @p13 :rule refl :args (@t11)) % 0.38/0.56 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t11 @t24) @t25))) % 0.38/0.56 (step @p16 :rule symm :premises (@p15)) % 0.38/0.56 (step @p17 :rule refl :args (@t12)) % 0.38/0.56 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.38/0.56 (step @p19 :rule refl :args (@t10)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19 @p9) :args ((= @t10 @t24))) % 0.38/0.56 (step @p21 :rule symm :premises (@p20)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.56 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p7) :args (@t28)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t14 @t28))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p6)) % 0.38/0.56 (step @p28 :rule refl :args (@t21)) % 0.38/0.56 (step @p29 :rule refl :args (@t4)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t4 @t21))) % 0.38/0.56 (step @p31 :rule symm :premises (@p30)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.56 (step @p33 :rule refl :args (@t22)) % 0.38/0.56 (step @p34 :rule refl :args (@t6)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t6 @t22))) % 0.38/0.56 (step @p36 :rule symm :premises (@p35)) % 0.38/0.56 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37) :args (@t29)) % 0.38/0.56 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t30)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39) :args ((forall @t8 @t30))) % 0.38/0.56 (step @p41 :rule bool-impl-elim :args (@t6 @t4)) % 0.38/0.56 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p40)) % 0.38/0.56 (step @p44 :rule refl :args (@t12)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t13)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45) :args (@t15)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p27)) % 0.38/0.56 (step @p48 :rule refl :args (tptp.powersetAx)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args (@t16)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.38/0.56 (step @p51 :rule cong :premises (@p50 @p4) :args (@t31)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args ((not @t31))) % 0.38/0.56 (step @p53 :rule cong :premises (@p24) :args (@t32)) % 0.38/0.56 (step @p54 :rule nary_cong :premises (@p53 @p38 @p32) :args (@t33)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54) :args ((forall @t17 @t33))) % 0.38/0.56 (step @p56 :rule aci_norm :args ((= (or @t32 @t30) @t33))) % 0.38/0.56 (step @p57 :rule refl :args (@t32)) % 0.38/0.56 (step @p58 :rule nary_cong :premises (@p57 @p41) :args ((or @t32 @t7))) % 0.38/0.56 (step @p59 :rule trans :premises (@p58 @p56)) % 0.38/0.56 (step @p60 :rule bool-impl-elim :args (@t12 @t7)) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p59)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61) :args (@t18)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p55)) % 0.38/0.56 (step @p64 :rule cong :premises (@p48 @p63) :args (@t19)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64) :args (@t20)) % 0.38/0.56 (step @p66 :rule trans :premises (@p65 @p52)) % 0.38/0.56 (step @p67 :rule eq_resolve :premises (@p2 @p66)) % 0.38/0.56 (step @p68 :rule not_implies_elim1 :premises (@p67)) % 0.38/0.56 (step @p69 :rule eq-symm :args (@t36 @t37)) % 0.38/0.56 (step @p70 :rule refl :args (@t38)) % 0.38/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t38 @t39))) % 0.38/0.56 (assume-push @p108 @t38) % 0.38/0.56 (step @p73 :rule instantiate :premises (@p68) :args ((@list @t34 @t35))) % 0.38/0.56 (step-pop @p109 :rule scope :premises (@p73)) % 0.38/0.56 (step @p74 :rule process_scope :premises (@p109) :args (@t39)) % 0.38/0.56 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.38/0.56 (step @p77 :rule implies_elim :premises (@p76)) % 0.38/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p68) :args (@t40 (@list false) (@list @t38))) % 0.38/0.56 (step @p79 :rule not_implies_elim2 :premises (@p67)) % 0.38/0.56 (step @p80 :rule skolemize :premises (@p79)) % 0.38/0.56 (step @p81 :rule bool-double-not-elim :args (@t37)) % 0.38/0.56 (step @p82 :rule refl :args (@t46)) % 0.38/0.56 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t46 (not @t45)))) % 0.38/0.56 (step @p84 :rule cnf_or_neg :args (@t46 0)) % 0.38/0.56 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t37 @t46))) % 0.38/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t37 @t47 @t48)) % 0.38/0.56 (step @p88 :rule cnf_equiv_pos1 :args (@t40)) % 0.38/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t45 @t36 (not @t40)))) % 0.38/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p78) :args (@t36 (@list false false) (@list @t37 @t40))) % 0.38/0.56 (step @p91 :rule cnf_or_neg :args (@t46 2)) % 0.38/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p80) :args ((not @t42) @t47 @t48)) % 0.38/0.56 (step @p93 :rule bool-double-not-elim :args (@t43)) % 0.38/0.56 (step @p94 :rule nary_cong :premises (@p82 @p93) :args ((or @t46 (not @t44)))) % 0.38/0.56 (step @p95 :rule cnf_or_neg :args (@t46 1)) % 0.38/0.56 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t43 @t46))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p80) :args (@t43 @t47 @t48)) % 0.38/0.56 (step @p99 :rule cnf_or_pos :args (@t49)) % 0.38/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t44 @t42 @t50))) % 0.38/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p92) :args (@t50 (@list false true) (@list @t43 @t42))) % 0.38/0.56 (assume-push @p110 @t36) % 0.38/0.56 (step @p103 :rule instantiate :premises (@p90) :args ((@list @t41))) % 0.38/0.56 (step-pop @p111 :rule scope :premises (@p103)) % 0.38/0.56 (step @p104 :rule process_scope :premises (@p111) :args (@t49)) % 0.38/0.56 (step @p106 :rule implies_elim :premises (@p104)) % 0.38/0.56 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p90) :args (false (@list true false) (@list @t49 @t36))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------