%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU577^2 : 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 : n013.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 08:52:16 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 : SEU577^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 17:42:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----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 $$unsorted 0) % 0.39/0.56 (declare-const tptp.subsetI1 Bool) % 0.39/0.56 (declare-const tptp.powersetE Bool) % 0.39/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.56 (define @t3 () (_ tptp.in @t2)) % 0.39/0.56 (define @t4 () (_ @t3 @t1)) % 0.39/0.56 (define @t5 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t6 () (_ @t3 @t5)) % 0.39/0.56 (define @t7 () (=> @t6 @t4)) % 0.39/0.56 (define @t8 () (_ tptp.powerset @t1)) % 0.39/0.56 (define @t9 () (_ tptp.in @t5)) % 0.39/0.56 (define @t10 () (_ @t9 @t8)) % 0.39/0.56 (define @t11 () (@list @t1 @t5 @t2)) % 0.39/0.56 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.39/0.56 (define @t13 () (= tptp.powersetE @t12)) % 0.39/0.56 (define @t14 () (_ (_ tptp.subset @t1) @t5)) % 0.39/0.56 (define @t15 () (@list @t2)) % 0.39/0.56 (define @t16 () (forall @t15 (=> @t4 @t6))) % 0.39/0.56 (define @t17 () (=> @t16 @t14)) % 0.39/0.56 (define @t18 () (@list @t1 @t5)) % 0.39/0.56 (define @t19 () (forall @t18 @t17)) % 0.39/0.56 (define @t20 () (= tptp.subsetI1 @t19)) % 0.39/0.56 (define @t21 () (_ (_ tptp.subset @t5) @t1)) % 0.39/0.56 (define @t22 () (forall @t18 (=> @t10 @t21))) % 0.39/0.56 (define @t23 () (=> tptp.subsetI1 @t22)) % 0.39/0.56 (define @t24 () (=> tptp.powersetE @t23)) % 0.39/0.56 (define @t25 () (not @t24)) % 0.39/0.56 (define @t26 () (tptp.subset @t5 @t1)) % 0.39/0.56 (define @t27 () (tptp.powerset @t1)) % 0.39/0.56 (define @t28 () (tptp.in @t5 @t27)) % 0.39/0.56 (define @t29 () (not @t28)) % 0.39/0.56 (define @t30 () (forall @t18 (or @t29 @t26))) % 0.39/0.56 (define @t31 () (tptp.subset @t1 @t5)) % 0.39/0.56 (define @t32 () (tptp.in @t2 @t5)) % 0.39/0.56 (define @t33 () (tptp.in @t2 @t1)) % 0.39/0.56 (define @t34 () (forall @t15 (or (not @t33) @t32))) % 0.39/0.56 (define @t35 () (not @t34)) % 0.39/0.56 (define @t36 () (or @t35 @t14)) % 0.39/0.56 (define @t37 () (not @t4)) % 0.39/0.56 (define @t38 () (or @t37 @t6)) % 0.39/0.56 (define @t39 () (=> tptp.subsetI1 @t30)) % 0.39/0.56 (define @t40 () (not @t6)) % 0.39/0.56 (define @t41 () (not @t10)) % 0.39/0.56 (define @t42 () (or @t41 @t40 @t4)) % 0.39/0.56 (define @t43 () (=> tptp.powersetE @t39)) % 0.39/0.56 (define @t44 () (or @t41 @t21)) % 0.39/0.56 (define @t45 () (@quantifiers_skolemize @t30 0)) % 0.39/0.56 (define @t46 () (@quantifiers_skolemize @t30 1)) % 0.39/0.56 (define @t47 () (tptp.subset @t46 @t45)) % 0.39/0.56 (define @t48 () (tptp.in @t46 (tptp.powerset @t45))) % 0.39/0.56 (define @t49 () (not @t48)) % 0.39/0.56 (define @t50 () (or @t49 @t47)) % 0.39/0.56 (define @t51 () (@list true)) % 0.39/0.56 (define @t52 () (@list @t50)) % 0.39/0.56 (define @t53 () (forall @t15 (or (not (tptp.in @t2 @t46)) (tptp.in @t2 @t45)))) % 0.39/0.56 (define @t54 () (not @t53)) % 0.39/0.56 (define @t55 () (or @t54 @t47)) % 0.39/0.56 (define @t56 () (@list true false)) % 0.39/0.56 (define @t57 () (@quantifiers_skolemize @t53 0)) % 0.39/0.56 (define @t58 () (tptp.in @t57 @t45)) % 0.39/0.56 (define @t59 () (tptp.in @t57 @t46)) % 0.39/0.56 (define @t60 () (not @t59)) % 0.39/0.56 (define @t61 () (or @t60 @t58)) % 0.39/0.56 (define @t62 () (@list @t61)) % 0.39/0.56 (define @t63 () (or @t49 @t60 @t58)) % 0.39/0.56 (define @t64 () (not @t63)) % 0.39/0.56 (define @t65 () (forall @t11 (or @t29 (not @t32) @t33))) % 0.39/0.56 (assume @p1 @t13) % 0.39/0.56 (assume @p2 @t20) % 0.39/0.56 (assume @p3 @t25) % 0.39/0.56 (assume @p4 true) % 0.39/0.56 (step @p5 :rule refl :args (@t30)) % 0.39/0.56 (step @p6 :rule refl :args (@t31)) % 0.39/0.56 (step @p7 :rule refl :args (@t14)) % 0.39/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t14 @t31))) % 0.39/0.56 (step @p9 :rule symm :premises (@p8)) % 0.39/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.39/0.56 (step @p11 :rule refl :args (@t35)) % 0.39/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t36)) % 0.39/0.56 (step @p13 :rule cong :premises (@p12) :args ((forall @t18 @t36))) % 0.39/0.56 (step @p14 :rule bool-impl-elim :args (@t34 @t14)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t18 (=> @t34 @t14)))) % 0.39/0.56 (step @p16 :rule trans :premises (@p15 @p13)) % 0.39/0.56 (step @p17 :rule refl :args (@t14)) % 0.39/0.56 (step @p18 :rule refl :args (@t32)) % 0.39/0.56 (step @p19 :rule refl :args (@t6)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t6 @t32))) % 0.39/0.56 (step @p21 :rule symm :premises (@p20)) % 0.39/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.39/0.56 (step @p23 :rule refl :args (@t33)) % 0.39/0.56 (step @p24 :rule refl :args (@t4)) % 0.39/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t4 @t33))) % 0.39/0.56 (step @p26 :rule symm :premises (@p25)) % 0.39/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27) :args (@t37)) % 0.39/0.56 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t38)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t15 @t38))) % 0.39/0.56 (step @p31 :rule bool-impl-elim :args (@t4 @t6)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.56 (step @p34 :rule cong :premises (@p33 @p17) :args (@t17)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34) :args (@t19)) % 0.39/0.56 (step @p36 :rule trans :premises (@p35 @p16)) % 0.39/0.56 (step @p37 :rule refl :args (tptp.subsetI1)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args (@t20)) % 0.39/0.56 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39 @p5) :args (@t39)) % 0.39/0.56 (step @p41 :rule cong :premises (@p22) :args (@t40)) % 0.39/0.56 (step @p42 :rule refl :args ((tptp.in @t5 @t8))) % 0.39/0.56 (step @p43 :rule refl :args (@t27)) % 0.39/0.56 (step @p44 :rule refl :args (@t5)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t28)) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p42)) % 0.39/0.56 (step @p47 :rule refl :args (@t9)) % 0.39/0.56 (step @p48 :rule ho_cong :premises (@p47 @p43)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48 @p46) :args ((= (_ @t9 @t27) @t28))) % 0.39/0.56 (step @p50 :rule symm :premises (@p49)) % 0.39/0.56 (step @p51 :rule refl :args (@t10)) % 0.39/0.56 (step @p52 :rule eq_resolve :premises (@p51 @p50)) % 0.39/0.56 (step @p53 :rule refl :args (@t8)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53 @p43) :args ((= @t8 @t27))) % 0.39/0.56 (step @p55 :rule symm :premises (@p54)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.39/0.56 (step @p57 :rule ho_cong :premises (@p47 @p56)) % 0.39/0.56 (step @p58 :rule trans :premises (@p57 @p52)) % 0.39/0.56 (step @p59 :rule cong :premises (@p58) :args (@t41)) % 0.39/0.56 (step @p60 :rule nary_cong :premises (@p59 @p41 @p27) :args (@t42)) % 0.39/0.56 (step @p61 :rule cong :premises (@p60) :args ((forall @t11 @t42))) % 0.39/0.56 (step @p62 :rule aci_norm :args ((= (or @t41 (or @t40 @t4)) @t42))) % 0.39/0.56 (step @p63 :rule bool-impl-elim :args (@t6 @t4)) % 0.39/0.56 (step @p64 :rule refl :args (@t41)) % 0.39/0.56 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t41 @t7))) % 0.39/0.56 (step @p66 :rule trans :premises (@p65 @p62)) % 0.39/0.56 (step @p67 :rule bool-impl-elim :args (@t10 @t7)) % 0.39/0.56 (step @p68 :rule trans :premises (@p67 @p66)) % 0.39/0.56 (step @p69 :rule cong :premises (@p68) :args (@t12)) % 0.39/0.56 (step @p70 :rule trans :premises (@p69 @p61)) % 0.39/0.56 (step @p71 :rule refl :args (tptp.powersetE)) % 0.39/0.56 (step @p72 :rule cong :premises (@p71 @p70) :args (@t13)) % 0.39/0.56 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73 @p40) :args (@t43)) % 0.39/0.56 (step @p75 :rule cong :premises (@p74) :args ((not @t43))) % 0.39/0.56 (step @p76 :rule refl :args (@t26)) % 0.39/0.56 (step @p77 :rule refl :args (@t21)) % 0.39/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t21 @t26))) % 0.39/0.56 (step @p79 :rule symm :premises (@p78)) % 0.39/0.56 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.39/0.56 (step @p81 :rule nary_cong :premises (@p59 @p80) :args (@t44)) % 0.39/0.56 (step @p82 :rule cong :premises (@p81) :args ((forall @t18 @t44))) % 0.39/0.56 (step @p83 :rule bool-impl-elim :args (@t10 @t21)) % 0.39/0.56 (step @p84 :rule cong :premises (@p83) :args (@t22)) % 0.39/0.56 (step @p85 :rule trans :premises (@p84 @p82)) % 0.39/0.56 (step @p86 :rule cong :premises (@p37 @p85) :args (@t23)) % 0.39/0.56 (step @p87 :rule cong :premises (@p71 @p86) :args (@t24)) % 0.39/0.56 (step @p88 :rule cong :premises (@p87) :args (@t25)) % 0.39/0.56 (step @p89 :rule trans :premises (@p88 @p75)) % 0.39/0.56 (step @p90 :rule eq_resolve :premises (@p3 @p89)) % 0.39/0.56 (step @p91 :rule not_implies_elim1 :premises (@p90)) % 0.39/0.56 (step @p92 :rule not_implies_elim2 :premises (@p90)) % 0.39/0.56 (step @p93 :rule not_implies_elim1 :premises (@p92)) % 0.39/0.56 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t46 @t45))) % 0.39/0.56 (step @p95 :rule not_implies_elim2 :premises (@p92)) % 0.39/0.56 (step @p96 :rule skolemize :premises (@p95)) % 0.39/0.56 (step @p97 :rule cnf_or_neg :args (@t50 1)) % 0.39/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p96) :args ((not @t47) @t51 @t52)) % 0.39/0.56 (step @p99 :rule cnf_or_pos :args (@t55)) % 0.39/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t47 @t54 (not @t55)))) % 0.39/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p94) :args (@t54 @t56 (@list @t47 @t55))) % 0.39/0.56 (step @p102 :rule skolemize :premises (@p101)) % 0.39/0.56 (step @p103 :rule cnf_or_neg :args (@t61 1)) % 0.39/0.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t58) @t51 @t62)) % 0.39/0.56 (step @p105 :rule bool-double-not-elim :args (@t59)) % 0.39/0.56 (step @p106 :rule refl :args (@t61)) % 0.39/0.56 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t61 (not @t60)))) % 0.39/0.56 (step @p108 :rule cnf_or_neg :args (@t61 0)) % 0.39/0.56 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.39/0.56 (step @p110 :rule reordering :premises (@p109) :args ((or @t59 @t61))) % 0.39/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p102) :args (@t59 @t51 @t62)) % 0.39/0.56 (step @p112 :rule bool-double-not-elim :args (@t48)) % 0.39/0.56 (step @p113 :rule refl :args (@t50)) % 0.39/0.56 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t50 (not @t49)))) % 0.39/0.56 (step @p115 :rule cnf_or_neg :args (@t50 0)) % 0.39/0.56 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.39/0.56 (step @p117 :rule reordering :premises (@p116) :args ((or @t48 @t50))) % 0.39/0.56 (step @p118 :rule chain_m_resolution :premises (@p117 @p96) :args (@t48 @t51 @t52)) % 0.39/0.56 (step @p119 :rule cnf_or_pos :args (@t63)) % 0.39/0.56 (step @p120 :rule reordering :premises (@p119) :args ((or @t49 @t60 @t58 @t64))) % 0.39/0.56 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p111 @p104) :args (@t64 (@list false false true) (@list @t48 @t59 @t58))) % 0.39/0.56 (assume-push @p128 @t65) % 0.39/0.56 (step @p123 :rule instantiate :premises (@p91) :args ((@list @t45 @t46 @t57))) % 0.39/0.56 (step-pop @p129 :rule scope :premises (@p123)) % 0.39/0.56 (step @p124 :rule process_scope :premises (@p129) :args (@t63)) % 0.39/0.56 (step @p126 :rule implies_elim :premises (@p124)) % 0.39/0.56 (step @p127 false :rule chain_m_resolution :premises (@p126 @p121 @p91) :args (false @t56 (@list @t63 @t65))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------