%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU575^2 : 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 : n023.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 08:52:15 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU575^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:42:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.setextsub Bool) % 0.36/0.57 (declare-const tptp.emptysetsubset Bool) % 0.36/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.emptyset $$unsorted) % 0.36/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t2 () (_ (_ tptp.subset tptp.emptyset) @t1)) % 0.36/0.57 (define @t3 () (@list @t1)) % 0.36/0.57 (define @t4 () (forall @t3 @t2)) % 0.36/0.57 (define @t5 () (= tptp.emptysetsubset @t4)) % 0.36/0.57 (define @t6 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t7 () (= @t1 @t6)) % 0.36/0.57 (define @t8 () (_ (_ tptp.subset @t6) @t1)) % 0.36/0.57 (define @t9 () (=> @t8 @t7)) % 0.36/0.57 (define @t10 () (_ tptp.subset @t1)) % 0.36/0.57 (define @t11 () (_ @t10 @t6)) % 0.36/0.57 (define @t12 () (@list @t1 @t6)) % 0.36/0.57 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.36/0.57 (define @t14 () (= tptp.setextsub @t13)) % 0.36/0.57 (define @t15 () (_ @t10 tptp.emptyset)) % 0.36/0.57 (define @t16 () (=> @t15 (= @t1 tptp.emptyset))) % 0.36/0.57 (define @t17 () (forall @t3 @t16)) % 0.36/0.57 (define @t18 () (=> tptp.setextsub @t17)) % 0.36/0.57 (define @t19 () (=> tptp.emptysetsubset @t18)) % 0.36/0.57 (define @t20 () (not @t19)) % 0.36/0.57 (define @t21 () (= tptp.emptyset @t1)) % 0.36/0.57 (define @t22 () (tptp.subset @t1 tptp.emptyset)) % 0.36/0.57 (define @t23 () (forall @t3 (or (not @t22) @t21))) % 0.36/0.57 (define @t24 () (tptp.subset @t6 @t1)) % 0.36/0.57 (define @t25 () (not @t8)) % 0.36/0.57 (define @t26 () (tptp.subset @t1 @t6)) % 0.36/0.57 (define @t27 () (not @t11)) % 0.36/0.57 (define @t28 () (or @t27 @t25 @t7)) % 0.36/0.57 (define @t29 () (=> tptp.setextsub @t23)) % 0.36/0.57 (define @t30 () (tptp.subset tptp.emptyset @t1)) % 0.36/0.57 (define @t31 () (=> tptp.emptysetsubset @t29)) % 0.36/0.57 (define @t32 () (not @t15)) % 0.36/0.57 (define @t33 () (or @t32 @t21)) % 0.36/0.57 (define @t34 () (@quantifiers_skolemize @t23 0)) % 0.36/0.57 (define @t35 () (tptp.subset tptp.emptyset @t34)) % 0.36/0.57 (define @t36 () (not @t35)) % 0.36/0.57 (define @t37 () (tptp.subset @t34 tptp.emptyset)) % 0.36/0.57 (define @t38 () (not @t37)) % 0.36/0.57 (define @t39 () (or @t38 @t36 (= @t34 tptp.emptyset))) % 0.36/0.57 (define @t40 () (forall @t12 (or (not @t26) (not @t24) @t7))) % 0.36/0.57 (define @t41 () (= tptp.emptyset @t34)) % 0.36/0.57 (define @t42 () (or @t38 @t36 @t41)) % 0.36/0.57 (define @t43 () (or @t38 @t41)) % 0.36/0.57 (define @t44 () (@list true)) % 0.36/0.57 (define @t45 () (@list @t43)) % 0.36/0.57 (define @t46 () (forall @t3 @t30)) % 0.36/0.57 (assume @p1 @t5) % 0.36/0.57 (assume @p2 @t14) % 0.36/0.57 (assume @p3 @t20) % 0.36/0.57 (assume @p4 true) % 0.36/0.57 (step @p5 :rule refl :args (@t23)) % 0.36/0.57 (step @p6 :rule refl :args (@t7)) % 0.36/0.57 (step @p7 :rule refl :args (@t24)) % 0.36/0.57 (step @p8 :rule refl :args (@t8)) % 0.36/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t8 @t24))) % 0.36/0.57 (step @p10 :rule symm :premises (@p9)) % 0.36/0.57 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.36/0.57 (step @p12 :rule cong :premises (@p11) :args (@t25)) % 0.36/0.57 (step @p13 :rule refl :args (@t26)) % 0.36/0.57 (step @p14 :rule refl :args (@t11)) % 0.36/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t11 @t26))) % 0.36/0.57 (step @p16 :rule symm :premises (@p15)) % 0.36/0.57 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.36/0.57 (step @p18 :rule cong :premises (@p17) :args (@t27)) % 0.36/0.57 (step @p19 :rule nary_cong :premises (@p18 @p12 @p6) :args (@t28)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t12 @t28))) % 0.36/0.57 (step @p21 :rule aci_norm :args ((= (or @t27 (or @t25 @t7)) @t28))) % 0.36/0.57 (step @p22 :rule bool-impl-elim :args (@t8 @t7)) % 0.36/0.57 (step @p23 :rule refl :args (@t27)) % 0.36/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t27 @t9))) % 0.36/0.57 (step @p25 :rule trans :premises (@p24 @p21)) % 0.36/0.57 (step @p26 :rule bool-impl-elim :args (@t11 @t9)) % 0.36/0.57 (step @p27 :rule trans :premises (@p26 @p25)) % 0.36/0.57 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.36/0.57 (step @p29 :rule trans :premises (@p28 @p20)) % 0.36/0.57 (step @p30 :rule refl :args (tptp.setextsub)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t14)) % 0.36/0.57 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 0.36/0.57 (step @p33 :rule cong :premises (@p32 @p5) :args (@t29)) % 0.36/0.57 (step @p34 :rule refl :args (@t30)) % 0.36/0.57 (step @p35 :rule refl :args (@t2)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t2 @t30))) % 0.36/0.57 (step @p37 :rule symm :premises (@p36)) % 0.36/0.57 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38) :args (@t4)) % 0.36/0.57 (step @p40 :rule refl :args (tptp.emptysetsubset)) % 0.36/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args (@t5)) % 0.36/0.57 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.36/0.57 (step @p43 :rule cong :premises (@p42 @p33) :args (@t31)) % 0.36/0.57 (step @p44 :rule cong :premises (@p43) :args ((not @t31))) % 0.36/0.57 (step @p45 :rule refl :args (@t21)) % 0.36/0.57 (step @p46 :rule refl :args (@t22)) % 0.36/0.57 (step @p47 :rule refl :args (@t15)) % 0.36/0.57 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t15 @t22))) % 0.36/0.57 (step @p49 :rule symm :premises (@p48)) % 0.36/0.57 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50) :args (@t32)) % 0.36/0.57 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t33)) % 0.36/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t3 @t33))) % 0.36/0.57 (step @p54 :rule bool-impl-elim :args (@t15 @t21)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54) :args ((forall @t3 (=> @t15 @t21)))) % 0.36/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.57 (step @p57 :rule eq-symm :args (@t1 tptp.emptyset)) % 0.36/0.57 (step @p58 :rule refl :args (@t15)) % 0.36/0.57 (step @p59 :rule cong :premises (@p58 @p57) :args (@t16)) % 0.36/0.57 (step @p60 :rule cong :premises (@p59) :args (@t17)) % 0.36/0.57 (step @p61 :rule trans :premises (@p60 @p56)) % 0.36/0.57 (step @p62 :rule cong :premises (@p30 @p61) :args (@t18)) % 0.36/0.57 (step @p63 :rule cong :premises (@p40 @p62) :args (@t19)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args (@t20)) % 0.36/0.57 (step @p65 :rule trans :premises (@p64 @p44)) % 0.36/0.57 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 0.36/0.57 (step @p67 :rule not_implies_elim1 :premises (@p66)) % 0.36/0.57 (step @p68 :rule not_implies_elim2 :premises (@p66)) % 0.36/0.57 (step @p69 :rule not_implies_elim1 :premises (@p68)) % 0.36/0.57 (step @p70 :rule eq-symm :args (@t34 tptp.emptyset)) % 0.36/0.57 (step @p71 :rule refl :args (@t36)) % 0.36/0.57 (step @p72 :rule refl :args (@t38)) % 0.36/0.57 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t39)) % 0.36/0.57 (step @p74 :rule refl :args (@t40)) % 0.36/0.57 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t40 @t39))) % 0.36/0.57 (assume-push @p103 @t40) % 0.36/0.57 (step @p77 :rule instantiate :premises (@p69) :args ((@list @t34 tptp.emptyset))) % 0.36/0.57 (step-pop @p104 :rule scope :premises (@p77)) % 0.36/0.57 (step @p78 :rule process_scope :premises (@p104) :args (@t39)) % 0.36/0.57 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.36/0.57 (step @p81 :rule implies_elim :premises (@p80)) % 0.36/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p69) :args (@t42 (@list false) (@list @t40))) % 0.36/0.57 (step @p83 :rule not_implies_elim2 :premises (@p68)) % 0.36/0.57 (step @p84 :rule skolemize :premises (@p83)) % 0.36/0.57 (step @p85 :rule cnf_or_neg :args (@t43 1)) % 0.36/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p84) :args ((not @t41) @t44 @t45)) % 0.36/0.57 (step @p87 :rule bool-double-not-elim :args (@t37)) % 0.36/0.57 (step @p88 :rule refl :args (@t43)) % 0.36/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t43 (not @t38)))) % 0.36/0.57 (step @p90 :rule cnf_or_neg :args (@t43 0)) % 0.36/0.57 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.36/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t37 @t43))) % 0.36/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p84) :args (@t37 @t44 @t45)) % 0.36/0.57 (step @p94 :rule cnf_or_pos :args (@t42)) % 0.36/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t38 @t41 @t36 (not @t42)))) % 0.36/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86 @p82) :args (@t36 (@list false true false) (@list @t37 @t41 @t42))) % 0.36/0.57 (assume-push @p105 @t46) % 0.36/0.57 (step @p98 :rule instantiate :premises (@p67) :args ((@list @t34))) % 0.36/0.57 (step-pop @p106 :rule scope :premises (@p98)) % 0.36/0.57 (step @p99 :rule process_scope :premises (@p106) :args (@t35)) % 0.36/0.57 (step @p101 :rule implies_elim :premises (@p99)) % 0.36/0.57 (step @p102 false :rule chain_m_resolution :premises (@p101 @p96 @p67) :args (false (@list true false) (@list @t35 @t46))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------