%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU588^2 : 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 : n012.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 08:52:18 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU588^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 17:42:33 EDT 2026 % 0.07/0.26 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-const tptp.binunionIR Bool) % 0.15/0.38 (declare-const tptp.subsetI2 Bool) % 0.15/0.38 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.38 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.38 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.38 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.38 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.15/0.38 (define @t4 () (@var "Xx" $$unsorted)) % 0.15/0.38 (define @t5 () (_ tptp.in @t4)) % 0.15/0.38 (define @t6 () (_ @t5 @t1)) % 0.15/0.38 (define @t7 () (_ @t5 @t2)) % 0.15/0.38 (define @t8 () (@list @t4)) % 0.15/0.38 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.15/0.38 (define @t10 () (=> @t9 @t3)) % 0.15/0.38 (define @t11 () (@list @t2 @t1)) % 0.15/0.38 (define @t12 () (forall @t11 @t10)) % 0.15/0.38 (define @t13 () (= tptp.subsetI2 @t12)) % 0.15/0.38 (define @t14 () (_ (_ tptp.binunion @t2) @t1)) % 0.15/0.38 (define @t15 () (_ @t5 @t14)) % 0.15/0.38 (define @t16 () (@list @t2 @t1 @t4)) % 0.15/0.38 (define @t17 () (forall @t16 (=> @t6 @t15))) % 0.15/0.38 (define @t18 () (= tptp.binunionIR @t17)) % 0.15/0.38 (define @t19 () (_ tptp.subset @t1)) % 0.15/0.38 (define @t20 () (_ @t19 @t14)) % 0.15/0.38 (define @t21 () (forall @t11 @t20)) % 0.15/0.38 (define @t22 () (=> tptp.binunionIR @t21)) % 0.15/0.38 (define @t23 () (=> tptp.subsetI2 @t22)) % 0.15/0.38 (define @t24 () (not @t23)) % 0.15/0.38 (define @t25 () (tptp.binunion @t2 @t1)) % 0.15/0.38 (define @t26 () (tptp.subset @t1 @t25)) % 0.15/0.38 (define @t27 () (forall @t11 @t26)) % 0.15/0.38 (define @t28 () (tptp.in @t4 @t25)) % 0.15/0.38 (define @t29 () (tptp.in @t4 @t1)) % 0.15/0.38 (define @t30 () (not @t6)) % 0.15/0.38 (define @t31 () (or @t30 @t15)) % 0.15/0.38 (define @t32 () (=> tptp.binunionIR @t27)) % 0.15/0.38 (define @t33 () (tptp.subset @t2 @t1)) % 0.15/0.38 (define @t34 () (tptp.in @t4 @t2)) % 0.15/0.38 (define @t35 () (forall @t8 (or (not @t34) @t29))) % 0.15/0.38 (define @t36 () (not @t35)) % 0.15/0.38 (define @t37 () (or @t36 @t3)) % 0.15/0.38 (define @t38 () (not @t7)) % 0.15/0.38 (define @t39 () (or @t38 @t6)) % 0.15/0.38 (define @t40 () (=> tptp.subsetI2 @t32)) % 0.15/0.38 (define @t41 () (@quantifiers_skolemize @t27 1)) % 0.15/0.38 (define @t42 () (@quantifiers_skolemize @t27 0)) % 0.15/0.38 (define @t43 () (tptp.binunion @t42 @t41)) % 0.15/0.38 (define @t44 () (tptp.subset @t41 @t43)) % 0.15/0.38 (define @t45 () (forall @t8 (or (not (tptp.in @t4 @t41)) (tptp.in @t4 @t43)))) % 0.15/0.38 (define @t46 () (not @t45)) % 0.15/0.38 (define @t47 () (or @t46 @t44)) % 0.15/0.38 (define @t48 () (@list true false)) % 0.15/0.38 (define @t49 () (forall @t16 (or (not @t29) @t28))) % 0.15/0.38 (define @t50 () (@quantifiers_skolemize @t45 0)) % 0.15/0.38 (define @t51 () (or (not (tptp.in @t50 @t41)) (tptp.in @t50 @t43))) % 0.15/0.38 (assume @p1 @t13) % 0.15/0.38 (assume @p2 @t18) % 0.15/0.38 (assume @p3 @t24) % 0.15/0.38 (assume @p4 true) % 0.15/0.38 (step @p5 :rule refl :args (@t27)) % 0.15/0.38 (step @p6 :rule refl :args ((tptp.in @t4 @t14))) % 0.15/0.38 (step @p7 :rule refl :args (@t25)) % 0.15/0.38 (step @p8 :rule refl :args (@t4)) % 0.15/0.38 (step @p9 :rule cong :premises (@p8 @p7) :args (@t28)) % 0.15/0.38 (step @p10 :rule trans :premises (@p9 @p6)) % 0.15/0.38 (step @p11 :rule refl :args (@t5)) % 0.15/0.38 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.15/0.38 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t5 @t25) @t28))) % 0.15/0.38 (step @p14 :rule symm :premises (@p13)) % 0.15/0.38 (step @p15 :rule refl :args (@t15)) % 0.15/0.38 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.15/0.38 (step @p17 :rule refl :args (@t14)) % 0.15/0.38 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t14 @t25))) % 0.15/0.38 (step @p19 :rule symm :premises (@p18)) % 0.15/0.38 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.15/0.38 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.15/0.38 (step @p22 :rule trans :premises (@p21 @p16)) % 0.15/0.38 (step @p23 :rule refl :args (@t29)) % 0.15/0.38 (step @p24 :rule refl :args (@t6)) % 0.15/0.38 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t6 @t29))) % 0.15/0.38 (step @p26 :rule symm :premises (@p25)) % 0.15/0.38 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.15/0.38 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.15/0.38 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t31)) % 0.15/0.38 (step @p30 :rule cong :premises (@p29) :args ((forall @t16 @t31))) % 0.15/0.38 (step @p31 :rule bool-impl-elim :args (@t6 @t15)) % 0.15/0.38 (step @p32 :rule cong :premises (@p31) :args (@t17)) % 0.15/0.38 (step @p33 :rule trans :premises (@p32 @p30)) % 0.15/0.38 (step @p34 :rule refl :args (tptp.binunionIR)) % 0.15/0.38 (step @p35 :rule cong :premises (@p34 @p33) :args (@t18)) % 0.15/0.38 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.15/0.38 (step @p37 :rule cong :premises (@p36 @p5) :args (@t32)) % 0.15/0.38 (step @p38 :rule refl :args (@t33)) % 0.15/0.38 (step @p39 :rule refl :args (@t3)) % 0.15/0.38 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t3 @t33))) % 0.15/0.38 (step @p41 :rule symm :premises (@p40)) % 0.15/0.38 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.15/0.38 (step @p43 :rule refl :args (@t36)) % 0.15/0.38 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t37)) % 0.15/0.38 (step @p45 :rule cong :premises (@p44) :args ((forall @t11 @t37))) % 0.15/0.38 (step @p46 :rule bool-impl-elim :args (@t35 @t3)) % 0.15/0.38 (step @p47 :rule cong :premises (@p46) :args ((forall @t11 (=> @t35 @t3)))) % 0.15/0.38 (step @p48 :rule trans :premises (@p47 @p45)) % 0.15/0.38 (step @p49 :rule refl :args (@t3)) % 0.15/0.38 (step @p50 :rule refl :args (@t34)) % 0.15/0.38 (step @p51 :rule refl :args (@t7)) % 0.15/0.38 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t7 @t34))) % 0.15/0.38 (step @p53 :rule symm :premises (@p52)) % 0.15/0.38 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.15/0.38 (step @p55 :rule cong :premises (@p54) :args (@t38)) % 0.15/0.38 (step @p56 :rule nary_cong :premises (@p55 @p27) :args (@t39)) % 0.15/0.38 (step @p57 :rule cong :premises (@p56) :args ((forall @t8 @t39))) % 0.15/0.38 (step @p58 :rule bool-impl-elim :args (@t7 @t6)) % 0.15/0.38 (step @p59 :rule cong :premises (@p58) :args (@t9)) % 0.15/0.38 (step @p60 :rule trans :premises (@p59 @p57)) % 0.15/0.38 (step @p61 :rule cong :premises (@p60 @p49) :args (@t10)) % 0.15/0.38 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 0.15/0.38 (step @p63 :rule trans :premises (@p62 @p48)) % 0.15/0.38 (step @p64 :rule refl :args (tptp.subsetI2)) % 0.15/0.38 (step @p65 :rule cong :premises (@p64 @p63) :args (@t13)) % 0.15/0.38 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.15/0.38 (step @p67 :rule cong :premises (@p66 @p37) :args (@t40)) % 0.15/0.38 (step @p68 :rule cong :premises (@p67) :args ((not @t40))) % 0.15/0.38 (step @p69 :rule refl :args ((tptp.subset @t1 @t14))) % 0.15/0.38 (step @p70 :rule refl :args (@t1)) % 0.15/0.38 (step @p71 :rule cong :premises (@p70 @p7) :args (@t26)) % 0.15/0.38 (step @p72 :rule trans :premises (@p71 @p69)) % 0.15/0.38 (step @p73 :rule refl :args (@t19)) % 0.15/0.38 (step @p74 :rule ho_cong :premises (@p73 @p7)) % 0.15/0.38 (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ @t19 @t25) @t26))) % 0.15/0.38 (step @p76 :rule symm :premises (@p75)) % 0.15/0.38 (step @p77 :rule refl :args (@t20)) % 0.15/0.38 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.15/0.38 (step @p79 :rule ho_cong :premises (@p73 @p20)) % 0.15/0.38 (step @p80 :rule trans :premises (@p79 @p78)) % 0.15/0.38 (step @p81 :rule cong :premises (@p80) :args (@t21)) % 0.15/0.38 (step @p82 :rule cong :premises (@p34 @p81) :args (@t22)) % 0.15/0.38 (step @p83 :rule cong :premises (@p64 @p82) :args (@t23)) % 0.15/0.38 (step @p84 :rule cong :premises (@p83) :args (@t24)) % 0.15/0.38 (step @p85 :rule trans :premises (@p84 @p68)) % 0.15/0.38 (step @p86 :rule eq_resolve :premises (@p3 @p85)) % 0.15/0.38 (step @p87 :rule not_implies_elim2 :premises (@p86)) % 0.15/0.38 (step @p88 :rule not_implies_elim1 :premises (@p87)) % 0.15/0.38 (step @p89 :rule not_implies_elim1 :premises (@p86)) % 0.15/0.38 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t41 @t43))) % 0.15/0.38 (step @p91 :rule not_implies_elim2 :premises (@p87)) % 0.15/0.38 (step @p92 :rule skolemize :premises (@p91)) % 0.15/0.38 (step @p93 :rule cnf_or_pos :args (@t47)) % 0.15/0.38 (step @p94 :rule reordering :premises (@p93) :args ((or @t44 @t46 (not @t47)))) % 0.15/0.38 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p90) :args (@t46 @t48 (@list @t44 @t47))) % 0.15/0.38 (step @p96 :rule skolemize :premises (@p95)) % 0.15/0.38 (assume-push @p103 @t49) % 0.15/0.38 (step @p98 :rule instantiate :premises (@p88) :args ((@list @t42 @t41 @t50))) % 0.15/0.38 (step-pop @p104 :rule scope :premises (@p98)) % 0.15/0.38 (step @p99 :rule process_scope :premises (@p104) :args (@t51)) % 0.15/0.38 (step @p101 :rule implies_elim :premises (@p99)) % 0.15/0.38 (step @p102 false :rule chain_m_resolution :premises (@p101 @p96 @p88) :args (false @t48 (@list @t51 @t49))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------