%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU622^2 : 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 : n018.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 08:52:27 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU622^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.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 17:43:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.singletonsubset Bool) % 0.37/0.57 (declare-const tptp.emptyset $$unsorted) % 0.37/0.57 (declare-const tptp.powersetI1 Bool) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t2 () (_ tptp.powerset @t1)) % 0.37/0.57 (define @t3 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t4 () (_ tptp.in @t3)) % 0.37/0.57 (define @t5 () (_ @t4 @t2)) % 0.37/0.57 (define @t6 () (_ (_ tptp.subset @t3) @t1)) % 0.37/0.57 (define @t7 () (@list @t1 @t3)) % 0.37/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.37/0.57 (define @t9 () (= tptp.powersetI1 @t8)) % 0.37/0.57 (define @t10 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t11 () (_ (_ tptp.setadjoin @t10) tptp.emptyset)) % 0.37/0.57 (define @t12 () (_ (_ tptp.subset @t11) @t1)) % 0.37/0.57 (define @t13 () (_ (_ tptp.in @t10) @t1)) % 0.37/0.57 (define @t14 () (@list @t1 @t10)) % 0.37/0.57 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.37/0.57 (define @t16 () (= tptp.singletonsubset @t15)) % 0.37/0.57 (define @t17 () (_ (_ tptp.in @t11) @t2)) % 0.37/0.57 (define @t18 () (forall @t14 (=> @t13 @t17))) % 0.37/0.57 (define @t19 () (=> tptp.singletonsubset @t18)) % 0.37/0.57 (define @t20 () (=> tptp.powersetI1 @t19)) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (tptp.powerset @t1)) % 0.37/0.57 (define @t23 () (tptp.setadjoin @t10 tptp.emptyset)) % 0.37/0.57 (define @t24 () (tptp.in @t23 @t22)) % 0.37/0.57 (define @t25 () (tptp.in @t10 @t1)) % 0.37/0.57 (define @t26 () (forall @t14 (or (not @t25) @t24))) % 0.37/0.57 (define @t27 () (tptp.subset @t23 @t1)) % 0.37/0.57 (define @t28 () (not @t13)) % 0.37/0.57 (define @t29 () (or @t28 @t12)) % 0.37/0.57 (define @t30 () (=> tptp.singletonsubset @t26)) % 0.37/0.57 (define @t31 () (tptp.in @t3 @t22)) % 0.37/0.57 (define @t32 () (tptp.subset @t3 @t1)) % 0.37/0.57 (define @t33 () (not @t6)) % 0.37/0.57 (define @t34 () (or @t33 @t5)) % 0.37/0.57 (define @t35 () (=> tptp.powersetI1 @t30)) % 0.37/0.57 (define @t36 () (or @t28 @t17)) % 0.37/0.57 (define @t37 () (@quantifiers_skolemize @t26 0)) % 0.37/0.57 (define @t38 () (@quantifiers_skolemize @t26 1)) % 0.37/0.57 (define @t39 () (tptp.in @t38 @t37)) % 0.37/0.57 (define @t40 () (tptp.setadjoin @t38 tptp.emptyset)) % 0.37/0.57 (define @t41 () (tptp.in @t40 (tptp.powerset @t37))) % 0.37/0.57 (define @t42 () (not @t39)) % 0.37/0.57 (define @t43 () (or @t42 @t41)) % 0.37/0.57 (define @t44 () (@list true)) % 0.37/0.57 (define @t45 () (@list @t43)) % 0.37/0.57 (define @t46 () (tptp.subset @t40 @t37)) % 0.37/0.57 (define @t47 () (not @t46)) % 0.37/0.57 (define @t48 () (or @t47 @t41)) % 0.37/0.57 (define @t49 () (or @t42 @t46)) % 0.37/0.57 (assume @p1 @t9) % 0.37/0.57 (assume @p2 @t16) % 0.37/0.57 (assume @p3 @t21) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (step @p5 :rule refl :args (@t26)) % 0.37/0.57 (step @p6 :rule refl :args ((tptp.subset @t11 @t1))) % 0.37/0.57 (step @p7 :rule refl :args (@t1)) % 0.37/0.57 (step @p8 :rule refl :args (@t23)) % 0.37/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t27)) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.57 (step @p11 :rule refl :args (tptp.subset)) % 0.37/0.57 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.37/0.57 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.37/0.57 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.subset @t23) @t1) @t27))) % 0.37/0.57 (step @p15 :rule symm :premises (@p14)) % 0.37/0.57 (step @p16 :rule refl :args (@t12)) % 0.37/0.57 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.37/0.57 (step @p18 :rule refl :args (@t11)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t11 @t23))) % 0.37/0.57 (step @p20 :rule symm :premises (@p19)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.37/0.57 (step @p22 :rule ho_cong :premises (@p11 @p21)) % 0.37/0.57 (step @p23 :rule ho_cong :premises (@p22 @p7)) % 0.37/0.57 (step @p24 :rule trans :premises (@p23 @p17)) % 0.37/0.57 (step @p25 :rule refl :args (@t25)) % 0.37/0.57 (step @p26 :rule refl :args (@t13)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t13 @t25))) % 0.37/0.57 (step @p28 :rule symm :premises (@p27)) % 0.37/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 0.37/0.57 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t29)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t14 @t29))) % 0.37/0.57 (step @p33 :rule bool-impl-elim :args (@t13 @t12)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33) :args (@t15)) % 0.37/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.37/0.57 (step @p36 :rule refl :args (tptp.singletonsubset)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t16)) % 0.37/0.57 (step @p38 :rule eq_resolve :premises (@p2 @p37)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p5) :args (@t30)) % 0.37/0.57 (step @p40 :rule refl :args ((tptp.in @t3 @t2))) % 0.37/0.57 (step @p41 :rule refl :args (@t22)) % 0.37/0.57 (step @p42 :rule refl :args (@t3)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args (@t31)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.57 (step @p45 :rule refl :args (@t4)) % 0.37/0.57 (step @p46 :rule ho_cong :premises (@p45 @p41)) % 0.37/0.57 (step @p47 :rule cong :premises (@p46 @p44) :args ((= (_ @t4 @t22) @t31))) % 0.37/0.57 (step @p48 :rule symm :premises (@p47)) % 0.37/0.57 (step @p49 :rule refl :args (@t5)) % 0.37/0.57 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.37/0.57 (step @p51 :rule refl :args (@t2)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p41) :args ((= @t2 @t22))) % 0.37/0.57 (step @p53 :rule symm :premises (@p52)) % 0.37/0.57 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.37/0.57 (step @p55 :rule ho_cong :premises (@p45 @p54)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p50)) % 0.37/0.57 (step @p57 :rule refl :args (@t32)) % 0.37/0.57 (step @p58 :rule refl :args (@t6)) % 0.37/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t6 @t32))) % 0.37/0.57 (step @p60 :rule symm :premises (@p59)) % 0.37/0.57 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61) :args (@t33)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p56) :args (@t34)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t7 @t34))) % 0.37/0.57 (step @p65 :rule bool-impl-elim :args (@t6 @t5)) % 0.37/0.57 (step @p66 :rule cong :premises (@p65) :args (@t8)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.37/0.57 (step @p68 :rule refl :args (tptp.powersetI1)) % 0.37/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args (@t9)) % 0.37/0.57 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.37/0.57 (step @p71 :rule cong :premises (@p70 @p39) :args (@t35)) % 0.37/0.57 (step @p72 :rule cong :premises (@p71) :args ((not @t35))) % 0.37/0.57 (step @p73 :rule refl :args ((tptp.in @t11 @t2))) % 0.37/0.57 (step @p74 :rule cong :premises (@p8 @p41) :args (@t24)) % 0.37/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.37/0.57 (step @p76 :rule refl :args (tptp.in)) % 0.37/0.57 (step @p77 :rule ho_cong :premises (@p76 @p8)) % 0.37/0.57 (step @p78 :rule ho_cong :premises (@p77 @p41)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78 @p75) :args ((= (_ (_ tptp.in @t23) @t22) @t24))) % 0.37/0.57 (step @p80 :rule symm :premises (@p79)) % 0.37/0.57 (step @p81 :rule refl :args (@t17)) % 0.37/0.57 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.57 (step @p83 :rule ho_cong :premises (@p76 @p21)) % 0.37/0.57 (step @p84 :rule ho_cong :premises (@p83 @p54)) % 0.37/0.57 (step @p85 :rule trans :premises (@p84 @p82)) % 0.37/0.57 (step @p86 :rule nary_cong :premises (@p30 @p85) :args (@t36)) % 0.37/0.57 (step @p87 :rule cong :premises (@p86) :args ((forall @t14 @t36))) % 0.37/0.57 (step @p88 :rule bool-impl-elim :args (@t13 @t17)) % 0.37/0.57 (step @p89 :rule cong :premises (@p88) :args (@t18)) % 0.37/0.57 (step @p90 :rule trans :premises (@p89 @p87)) % 0.37/0.57 (step @p91 :rule cong :premises (@p36 @p90) :args (@t19)) % 0.37/0.57 (step @p92 :rule cong :premises (@p68 @p91) :args (@t20)) % 0.37/0.57 (step @p93 :rule cong :premises (@p92) :args (@t21)) % 0.37/0.57 (step @p94 :rule trans :premises (@p93 @p72)) % 0.37/0.57 (step @p95 :rule eq_resolve :premises (@p3 @p94)) % 0.37/0.57 (step @p96 :rule not_implies_elim2 :premises (@p95)) % 0.37/0.57 (step @p97 :rule not_implies_elim2 :premises (@p96)) % 0.37/0.57 (step @p98 :rule skolemize :premises (@p97)) % 0.37/0.57 (step @p99 :rule bool-double-not-elim :args (@t39)) % 0.37/0.57 (step @p100 :rule refl :args (@t43)) % 0.37/0.57 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t43 (not @t42)))) % 0.37/0.57 (step @p102 :rule cnf_or_neg :args (@t43 0)) % 0.37/0.57 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.37/0.57 (step @p104 :rule reordering :premises (@p103) :args ((or @t39 @t43))) % 0.37/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p98) :args (@t39 @t44 @t45)) % 0.37/0.57 (step @p106 :rule not_implies_elim1 :premises (@p96)) % 0.37/0.57 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t37 @t38))) % 0.37/0.57 (step @p108 :rule not_implies_elim1 :premises (@p95)) % 0.37/0.57 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t37 @t40))) % 0.37/0.57 (step @p110 :rule cnf_or_neg :args (@t43 1)) % 0.37/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p98) :args ((not @t41) @t44 @t45)) % 0.37/0.57 (step @p112 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p113 :rule reordering :premises (@p112) :args ((or @t41 @t47 (not @t48)))) % 0.37/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109) :args (@t47 (@list true false) (@list @t41 @t48))) % 0.37/0.57 (step @p115 :rule cnf_or_pos :args (@t49)) % 0.37/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t42 @t46 (not @t49)))) % 0.37/0.57 (step @p117 false :rule chain_m_resolution :premises (@p116 @p114 @p107 @p105) :args (false (@list true false false) (@list @t46 @t49 @t39))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------