%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU587^2 : 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 08:52:18 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU587^2 : 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 % 0.17/0.35 % Computer : n008.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 17:42:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.binunionIL Bool) % 0.32/0.57 (declare-const tptp.subsetI2 Bool) % 0.32/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.binunion (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.32/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.32/0.57 (define @t3 () (_ tptp.subset @t2)) % 0.32/0.57 (define @t4 () (_ @t3 @t1)) % 0.32/0.57 (define @t5 () (@var "Xx" $$unsorted)) % 0.32/0.57 (define @t6 () (_ tptp.in @t5)) % 0.32/0.57 (define @t7 () (_ @t6 @t1)) % 0.32/0.57 (define @t8 () (_ @t6 @t2)) % 0.32/0.57 (define @t9 () (@list @t5)) % 0.32/0.57 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.32/0.57 (define @t11 () (=> @t10 @t4)) % 0.32/0.57 (define @t12 () (@list @t2 @t1)) % 0.32/0.57 (define @t13 () (forall @t12 @t11)) % 0.32/0.57 (define @t14 () (= tptp.subsetI2 @t13)) % 0.32/0.57 (define @t15 () (_ (_ tptp.binunion @t2) @t1)) % 0.32/0.57 (define @t16 () (_ @t6 @t15)) % 0.32/0.57 (define @t17 () (@list @t2 @t1 @t5)) % 0.32/0.57 (define @t18 () (forall @t17 (=> @t8 @t16))) % 0.32/0.57 (define @t19 () (= tptp.binunionIL @t18)) % 0.32/0.57 (define @t20 () (_ @t3 @t15)) % 0.32/0.57 (define @t21 () (forall @t12 @t20)) % 0.32/0.57 (define @t22 () (=> tptp.binunionIL @t21)) % 0.32/0.57 (define @t23 () (=> tptp.subsetI2 @t22)) % 0.32/0.57 (define @t24 () (not @t23)) % 0.32/0.57 (define @t25 () (tptp.binunion @t2 @t1)) % 0.32/0.57 (define @t26 () (tptp.subset @t2 @t25)) % 0.32/0.57 (define @t27 () (forall @t12 @t26)) % 0.32/0.57 (define @t28 () (tptp.in @t5 @t25)) % 0.32/0.57 (define @t29 () (tptp.in @t5 @t2)) % 0.32/0.57 (define @t30 () (not @t8)) % 0.32/0.57 (define @t31 () (or @t30 @t16)) % 0.32/0.57 (define @t32 () (=> tptp.binunionIL @t27)) % 0.32/0.57 (define @t33 () (tptp.subset @t2 @t1)) % 0.32/0.57 (define @t34 () (tptp.in @t5 @t1)) % 0.32/0.57 (define @t35 () (not @t29)) % 0.32/0.57 (define @t36 () (forall @t9 (or @t35 @t34))) % 0.32/0.57 (define @t37 () (not @t36)) % 0.32/0.57 (define @t38 () (or @t37 @t4)) % 0.32/0.57 (define @t39 () (or @t30 @t7)) % 0.32/0.57 (define @t40 () (=> tptp.subsetI2 @t32)) % 0.32/0.57 (define @t41 () (@quantifiers_skolemize @t27 1)) % 0.32/0.57 (define @t42 () (@quantifiers_skolemize @t27 0)) % 0.32/0.57 (define @t43 () (tptp.binunion @t42 @t41)) % 0.32/0.57 (define @t44 () (tptp.subset @t42 @t43)) % 0.32/0.57 (define @t45 () (forall @t9 (or (not (tptp.in @t5 @t42)) (tptp.in @t5 @t43)))) % 0.32/0.57 (define @t46 () (not @t45)) % 0.32/0.57 (define @t47 () (or @t46 @t44)) % 0.32/0.57 (define @t48 () (@list true false)) % 0.32/0.57 (define @t49 () (forall @t17 (or @t35 @t28))) % 0.32/0.57 (define @t50 () (@quantifiers_skolemize @t45 0)) % 0.32/0.57 (define @t51 () (or (not (tptp.in @t50 @t42)) (tptp.in @t50 @t43))) % 0.32/0.57 (assume @p1 @t14) % 0.32/0.57 (assume @p2 @t19) % 0.32/0.57 (assume @p3 @t24) % 0.32/0.57 (assume @p4 true) % 0.32/0.57 (step @p5 :rule refl :args (@t27)) % 0.32/0.57 (step @p6 :rule refl :args ((tptp.in @t5 @t15))) % 0.32/0.57 (step @p7 :rule refl :args (@t25)) % 0.32/0.57 (step @p8 :rule refl :args (@t5)) % 0.32/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t28)) % 0.32/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.32/0.57 (step @p11 :rule refl :args (@t6)) % 0.32/0.57 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.32/0.57 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t6 @t25) @t28))) % 0.32/0.57 (step @p14 :rule symm :premises (@p13)) % 0.32/0.57 (step @p15 :rule refl :args (@t16)) % 0.32/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.32/0.57 (step @p17 :rule refl :args (@t15)) % 0.32/0.57 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t15 @t25))) % 0.32/0.57 (step @p19 :rule symm :premises (@p18)) % 0.32/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.32/0.57 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.32/0.57 (step @p22 :rule trans :premises (@p21 @p16)) % 0.32/0.57 (step @p23 :rule refl :args (@t29)) % 0.32/0.57 (step @p24 :rule refl :args (@t8)) % 0.32/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t8 @t29))) % 0.32/0.57 (step @p26 :rule symm :premises (@p25)) % 0.32/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.32/0.57 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t31)) % 0.32/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t17 @t31))) % 0.32/0.57 (step @p31 :rule bool-impl-elim :args (@t8 @t16)) % 0.32/0.57 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 0.32/0.57 (step @p33 :rule trans :premises (@p32 @p30)) % 0.32/0.57 (step @p34 :rule refl :args (tptp.binunionIL)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34 @p33) :args (@t19)) % 0.32/0.57 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.32/0.57 (step @p37 :rule cong :premises (@p36 @p5) :args (@t32)) % 0.32/0.57 (step @p38 :rule refl :args (@t33)) % 0.32/0.57 (step @p39 :rule refl :args (@t4)) % 0.32/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t4 @t33))) % 0.32/0.57 (step @p41 :rule symm :premises (@p40)) % 0.32/0.57 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.32/0.57 (step @p43 :rule refl :args (@t37)) % 0.32/0.57 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t38)) % 0.32/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t12 @t38))) % 0.32/0.57 (step @p46 :rule bool-impl-elim :args (@t36 @t4)) % 0.32/0.57 (step @p47 :rule cong :premises (@p46) :args ((forall @t12 (=> @t36 @t4)))) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.32/0.57 (step @p49 :rule refl :args (@t4)) % 0.32/0.57 (step @p50 :rule refl :args (@t34)) % 0.32/0.57 (step @p51 :rule refl :args (@t7)) % 0.32/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t7 @t34))) % 0.32/0.57 (step @p53 :rule symm :premises (@p52)) % 0.32/0.57 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.32/0.57 (step @p55 :rule nary_cong :premises (@p28 @p54) :args (@t39)) % 0.32/0.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t9 @t39))) % 0.32/0.57 (step @p57 :rule bool-impl-elim :args (@t8 @t7)) % 0.32/0.57 (step @p58 :rule cong :premises (@p57) :args (@t10)) % 0.32/0.57 (step @p59 :rule trans :premises (@p58 @p56)) % 0.32/0.57 (step @p60 :rule cong :premises (@p59 @p49) :args (@t11)) % 0.32/0.57 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 0.32/0.57 (step @p62 :rule trans :premises (@p61 @p48)) % 0.32/0.57 (step @p63 :rule refl :args (tptp.subsetI2)) % 0.32/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args (@t14)) % 0.32/0.57 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.32/0.57 (step @p66 :rule cong :premises (@p65 @p37) :args (@t40)) % 0.32/0.57 (step @p67 :rule cong :premises (@p66) :args ((not @t40))) % 0.32/0.57 (step @p68 :rule refl :args ((tptp.subset @t2 @t15))) % 0.32/0.57 (step @p69 :rule refl :args (@t2)) % 0.32/0.57 (step @p70 :rule cong :premises (@p69 @p7) :args (@t26)) % 0.32/0.57 (step @p71 :rule trans :premises (@p70 @p68)) % 0.32/0.57 (step @p72 :rule refl :args (@t3)) % 0.32/0.57 (step @p73 :rule ho_cong :premises (@p72 @p7)) % 0.32/0.57 (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ @t3 @t25) @t26))) % 0.32/0.57 (step @p75 :rule symm :premises (@p74)) % 0.32/0.57 (step @p76 :rule refl :args (@t20)) % 0.32/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.32/0.57 (step @p78 :rule ho_cong :premises (@p72 @p20)) % 0.32/0.57 (step @p79 :rule trans :premises (@p78 @p77)) % 0.32/0.57 (step @p80 :rule cong :premises (@p79) :args (@t21)) % 0.32/0.57 (step @p81 :rule cong :premises (@p34 @p80) :args (@t22)) % 0.32/0.57 (step @p82 :rule cong :premises (@p63 @p81) :args (@t23)) % 0.32/0.57 (step @p83 :rule cong :premises (@p82) :args (@t24)) % 0.32/0.57 (step @p84 :rule trans :premises (@p83 @p67)) % 0.32/0.57 (step @p85 :rule eq_resolve :premises (@p3 @p84)) % 0.32/0.57 (step @p86 :rule not_implies_elim2 :premises (@p85)) % 0.32/0.57 (step @p87 :rule not_implies_elim1 :premises (@p86)) % 0.32/0.57 (step @p88 :rule not_implies_elim1 :premises (@p85)) % 0.32/0.57 (step @p89 :rule instantiate :premises (@p88) :args ((@list @t42 @t43))) % 0.32/0.57 (step @p90 :rule not_implies_elim2 :premises (@p86)) % 0.32/0.57 (step @p91 :rule skolemize :premises (@p90)) % 0.32/0.57 (step @p92 :rule cnf_or_pos :args (@t47)) % 0.32/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t44 @t46 (not @t47)))) % 0.32/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p89) :args (@t46 @t48 (@list @t44 @t47))) % 0.32/0.57 (step @p95 :rule skolemize :premises (@p94)) % 0.32/0.57 (assume-push @p102 @t49) % 0.32/0.57 (step @p97 :rule instantiate :premises (@p87) :args ((@list @t42 @t41 @t50))) % 0.32/0.57 (step-pop @p103 :rule scope :premises (@p97)) % 0.32/0.57 (step @p98 :rule process_scope :premises (@p103) :args (@t51)) % 0.32/0.57 (step @p100 :rule implies_elim :premises (@p98)) % 0.32/0.57 (step @p101 false :rule chain_m_resolution :premises (@p100 @p95 @p87) :args (false @t48 (@list @t51 @t49))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------