%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU567^2 : 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 : n008.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 08:52:13 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU567^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n008.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 17:42:18 EDT 2026 % 0.20/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.40/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.subsetI1 Bool) % 0.40/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.40/0.57 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.40/0.57 (define @t4 () (@var "Xx" $$unsorted)) % 0.40/0.57 (define @t5 () (_ tptp.in @t4)) % 0.40/0.57 (define @t6 () (_ @t5 @t1)) % 0.40/0.57 (define @t7 () (_ @t5 @t2)) % 0.40/0.57 (define @t8 () (@list @t4)) % 0.40/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.40/0.57 (define @t10 () (=> @t9 @t3)) % 0.40/0.57 (define @t11 () (@list @t2 @t1)) % 0.40/0.57 (define @t12 () (forall @t11 @t10)) % 0.40/0.57 (define @t13 () (= tptp.subsetI1 @t12)) % 0.40/0.57 (define @t14 () (not (= @t2 @t1))) % 0.40/0.57 (define @t15 () (not @t3)) % 0.40/0.57 (define @t16 () (forall @t11 (=> @t15 @t14))) % 0.40/0.57 (define @t17 () (=> tptp.subsetI1 @t16)) % 0.40/0.57 (define @t18 () (not @t17)) % 0.40/0.57 (define @t19 () (tptp.subset @t1 @t1)) % 0.40/0.57 (define @t20 () (@list @t1)) % 0.40/0.57 (define @t21 () (forall @t20 @t19)) % 0.40/0.57 (define @t22 () (tptp.subset @t2 @t1)) % 0.40/0.57 (define @t23 () (tptp.in @t4 @t1)) % 0.40/0.57 (define @t24 () (tptp.in @t4 @t2)) % 0.40/0.57 (define @t25 () (forall @t8 (or (not @t24) @t23))) % 0.40/0.57 (define @t26 () (not @t25)) % 0.40/0.57 (define @t27 () (or @t26 @t3)) % 0.40/0.57 (define @t28 () (not @t7)) % 0.40/0.57 (define @t29 () (or @t28 @t6)) % 0.40/0.57 (define @t30 () (=> tptp.subsetI1 @t21)) % 0.40/0.57 (define @t31 () (not (= @t1 @t1))) % 0.40/0.57 (define @t32 () (or @t19 @t31)) % 0.40/0.57 (define @t33 () (or @t14 @t22 @t14)) % 0.40/0.57 (define @t34 () (@list @t2)) % 0.40/0.57 (define @t35 () (or @t22 @t14)) % 0.40/0.57 (define @t36 () (forall @t34 @t35)) % 0.40/0.57 (define @t37 () (forall @t20 @t36)) % 0.40/0.57 (define @t38 () (forall (@list @t1 @t2) @t35)) % 0.40/0.57 (define @t39 () (or @t3 @t14)) % 0.40/0.57 (define @t40 () (@quantifiers_skolemize @t21 0)) % 0.40/0.57 (define @t41 () (tptp.subset @t40 @t40)) % 0.40/0.57 (define @t42 () (tptp.in @t4 @t40)) % 0.40/0.57 (define @t43 () (forall @t8 (or (not @t42) @t42))) % 0.40/0.57 (define @t44 () (not @t43)) % 0.40/0.57 (define @t45 () (or @t44 @t41)) % 0.40/0.57 (define @t46 () (forall @t11 (or @t26 @t22))) % 0.40/0.57 (assume @p1 @t13) % 0.40/0.57 (assume @p2 @t18) % 0.40/0.57 (assume @p3 true) % 0.40/0.57 (step @p4 :rule refl :args (@t21)) % 0.40/0.57 (step @p5 :rule refl :args (@t22)) % 0.40/0.57 (step @p6 :rule refl :args (@t3)) % 0.40/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t22))) % 0.40/0.57 (step @p8 :rule symm :premises (@p7)) % 0.40/0.57 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.40/0.57 (step @p10 :rule refl :args (@t26)) % 0.40/0.57 (step @p11 :rule nary_cong :premises (@p10 @p9) :args (@t27)) % 0.40/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t11 @t27))) % 0.40/0.57 (step @p13 :rule bool-impl-elim :args (@t25 @t3)) % 0.40/0.57 (step @p14 :rule cong :premises (@p13) :args ((forall @t11 (=> @t25 @t3)))) % 0.40/0.57 (step @p15 :rule trans :premises (@p14 @p12)) % 0.40/0.57 (step @p16 :rule refl :args (@t3)) % 0.40/0.57 (step @p17 :rule refl :args (@t23)) % 0.40/0.57 (step @p18 :rule refl :args (@t6)) % 0.40/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t6 @t23))) % 0.40/0.57 (step @p20 :rule symm :premises (@p19)) % 0.40/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.40/0.57 (step @p22 :rule refl :args (@t24)) % 0.40/0.57 (step @p23 :rule refl :args (@t7)) % 0.40/0.57 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t7 @t24))) % 0.40/0.57 (step @p25 :rule symm :premises (@p24)) % 0.40/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.40/0.57 (step @p27 :rule cong :premises (@p26) :args (@t28)) % 0.40/0.57 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t29)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28) :args ((forall @t8 @t29))) % 0.40/0.57 (step @p30 :rule bool-impl-elim :args (@t7 @t6)) % 0.40/0.57 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.40/0.57 (step @p32 :rule trans :premises (@p31 @p29)) % 0.40/0.57 (step @p33 :rule cong :premises (@p32 @p16) :args (@t10)) % 0.40/0.57 (step @p34 :rule cong :premises (@p33) :args (@t12)) % 0.40/0.57 (step @p35 :rule trans :premises (@p34 @p15)) % 0.40/0.57 (step @p36 :rule refl :args (tptp.subsetI1)) % 0.40/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t13)) % 0.40/0.57 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.40/0.57 (step @p39 :rule cong :premises (@p38 @p4) :args (@t30)) % 0.40/0.57 (step @p40 :rule cong :premises (@p39) :args ((not @t30))) % 0.40/0.57 (step @p41 :rule aci_norm :args ((= (or @t19 false) @t19))) % 0.40/0.57 (step @p42 :rule evaluate :args ((not true))) % 0.40/0.57 (step @p43 :rule eq-refl :args (@t1)) % 0.40/0.57 (step @p44 :rule cong :premises (@p43) :args (@t31)) % 0.40/0.57 (step @p45 :rule trans :premises (@p44 @p42)) % 0.40/0.57 (step @p46 :rule refl :args (@t19)) % 0.40/0.57 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t32)) % 0.40/0.57 (step @p48 :rule trans :premises (@p47 @p41)) % 0.40/0.57 (step @p49 :rule cong :premises (@p48) :args ((forall @t20 @t32))) % 0.40/0.57 (step @p50 :rule quant-var-elim-eq :args ((= (forall @t34 @t33) @t32))) % 0.40/0.57 (step @p51 :rule aci_norm :args ((= @t35 @t33))) % 0.40/0.57 (step @p52 :rule cong :premises (@p51) :args (@t36)) % 0.40/0.57 (step @p53 :rule trans :premises (@p52 @p50)) % 0.40/0.57 (step @p54 :rule cong :premises (@p53) :args (@t37)) % 0.40/0.57 (step @p55 :rule quant-merge-prenex :args ((= @t37 @t38))) % 0.40/0.57 (step @p56 :rule symm :premises (@p55)) % 0.40/0.57 (step @p57 :rule quant_var_reordering :args ((= (forall @t11 @t35) @t38))) % 0.40/0.57 (step @p58 :rule trans :premises (@p57 @p56 @p54)) % 0.40/0.57 (step @p59 :rule trans :premises (@p58 @p49)) % 0.40/0.57 (step @p60 :rule refl :args (@t14)) % 0.40/0.57 (step @p61 :rule nary_cong :premises (@p9 @p60) :args (@t39)) % 0.40/0.57 (step @p62 :rule cong :premises (@p61) :args ((forall @t11 @t39))) % 0.40/0.57 (step @p63 :rule trans :premises (@p62 @p59)) % 0.40/0.57 (step @p64 :rule bool-double-not-elim :args (@t3)) % 0.40/0.57 (step @p65 :rule nary_cong :premises (@p64 @p60) :args ((or (not @t15) @t14))) % 0.40/0.57 (step @p66 :rule bool-impl-elim :args (@t15 @t14)) % 0.40/0.57 (step @p67 :rule trans :premises (@p66 @p65)) % 0.40/0.57 (step @p68 :rule cong :premises (@p67) :args (@t16)) % 0.40/0.57 (step @p69 :rule trans :premises (@p68 @p63)) % 0.40/0.57 (step @p70 :rule cong :premises (@p36 @p69) :args (@t17)) % 0.40/0.57 (step @p71 :rule cong :premises (@p70) :args (@t18)) % 0.40/0.57 (step @p72 :rule trans :premises (@p71 @p40)) % 0.40/0.57 (step @p73 :rule eq_resolve :premises (@p2 @p72)) % 0.40/0.57 (step @p74 :rule not_implies_elim1 :premises (@p73)) % 0.40/0.57 (step @p75 :rule not_implies_elim2 :premises (@p73)) % 0.40/0.57 (step @p76 :rule skolemize :premises (@p75)) % 0.40/0.57 (step @p77 :rule aci_norm :args ((= (or false @t41) @t41))) % 0.40/0.57 (step @p78 :rule refl :args (@t41)) % 0.40/0.57 (step @p79 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.40/0.57 (step @p80 :rule bool-or-taut2 :args (false @t42 false false)) % 0.40/0.57 (step @p81 :rule cong :premises (@p80) :args (@t43)) % 0.40/0.57 (step @p82 :rule trans :premises (@p81 @p79)) % 0.40/0.57 (step @p83 :rule cong :premises (@p82) :args (@t44)) % 0.40/0.57 (step @p84 :rule trans :premises (@p83 @p42)) % 0.40/0.57 (step @p85 :rule nary_cong :premises (@p84 @p78) :args (@t45)) % 0.40/0.57 (step @p86 :rule trans :premises (@p85 @p77)) % 0.40/0.57 (step @p87 :rule refl :args (@t46)) % 0.40/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t46 @t45))) % 0.40/0.57 (assume-push @p96 @t46) % 0.40/0.57 (step @p90 :rule instantiate :premises (@p74) :args ((@list @t40 @t40))) % 0.40/0.57 (step-pop @p97 :rule scope :premises (@p90)) % 0.40/0.57 (step @p91 :rule process_scope :premises (@p97) :args (@t45)) % 0.40/0.57 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.40/0.57 (step @p94 :rule implies_elim :premises (@p93)) % 0.40/0.57 (step @p95 false :rule chain_m_resolution :premises (@p94 @p76 @p74) :args (false (@list true false) (@list @t41 @t46))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------