%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU529^2 : 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 : n029.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 08:52:04 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU529^2 : 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 % 0.18/0.34 % Computer : n029.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:41:02 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.emptyset $$unsorted) % 0.31/0.55 (declare-const tptp.setadjoinIL Bool) % 0.31/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "Xy" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t3 () (_ (_ tptp.setadjoin @t2) @t1)) % 0.31/0.55 (define @t4 () (_ tptp.in @t2)) % 0.31/0.55 (define @t5 () (_ @t4 @t3)) % 0.31/0.55 (define @t6 () (@list @t2 @t1)) % 0.31/0.55 (define @t7 () (forall @t6 @t5)) % 0.31/0.55 (define @t8 () (= tptp.setadjoinIL @t7)) % 0.31/0.55 (define @t9 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.31/0.55 (define @t10 () (_ @t4 @t9)) % 0.31/0.55 (define @t11 () (= @t2 @t1)) % 0.31/0.55 (define @t12 () (forall @t6 (=> @t11 @t10))) % 0.31/0.55 (define @t13 () (=> tptp.setadjoinIL @t12)) % 0.31/0.55 (define @t14 () (not @t13)) % 0.31/0.55 (define @t15 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.31/0.55 (define @t16 () (tptp.in @t1 @t15)) % 0.31/0.55 (define @t17 () (@list @t1)) % 0.31/0.55 (define @t18 () (forall @t17 @t16)) % 0.31/0.55 (define @t19 () (tptp.setadjoin @t2 @t1)) % 0.31/0.55 (define @t20 () (tptp.in @t2 @t19)) % 0.31/0.55 (define @t21 () (=> tptp.setadjoinIL @t18)) % 0.31/0.55 (define @t22 () (not (= @t1 @t1))) % 0.31/0.55 (define @t23 () (or @t22 @t16)) % 0.31/0.55 (define @t24 () (tptp.in @t2 @t15)) % 0.31/0.55 (define @t25 () (not @t11)) % 0.31/0.55 (define @t26 () (or @t25 @t25 @t24)) % 0.31/0.55 (define @t27 () (@list @t2)) % 0.31/0.55 (define @t28 () (or @t25 @t24)) % 0.31/0.55 (define @t29 () (forall @t27 @t28)) % 0.31/0.55 (define @t30 () (forall @t17 @t29)) % 0.31/0.55 (define @t31 () (forall (@list @t1 @t2) @t28)) % 0.31/0.55 (define @t32 () (or @t25 @t10)) % 0.31/0.55 (define @t33 () (forall @t6 @t20)) % 0.31/0.55 (define @t34 () (@quantifiers_skolemize @t18 0)) % 0.31/0.55 (define @t35 () (tptp.in @t34 (tptp.setadjoin @t34 tptp.emptyset))) % 0.31/0.55 (assume @p1 @t8) % 0.31/0.55 (assume @p2 @t14) % 0.31/0.55 (assume @p3 true) % 0.31/0.55 (step @p4 :rule refl :args (@t18)) % 0.31/0.55 (step @p5 :rule refl :args ((tptp.in @t2 @t3))) % 0.31/0.55 (step @p6 :rule refl :args (@t19)) % 0.31/0.55 (step @p7 :rule refl :args (@t2)) % 0.31/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args (@t20)) % 0.31/0.55 (step @p9 :rule trans :premises (@p8 @p5)) % 0.31/0.55 (step @p10 :rule refl :args (@t4)) % 0.31/0.55 (step @p11 :rule ho_cong :premises (@p10 @p6)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ @t4 @t19) @t20))) % 0.31/0.55 (step @p13 :rule symm :premises (@p12)) % 0.31/0.55 (step @p14 :rule refl :args (@t5)) % 0.31/0.55 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.31/0.55 (step @p16 :rule refl :args (@t3)) % 0.31/0.55 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t3 @t19))) % 0.31/0.55 (step @p18 :rule symm :premises (@p17)) % 0.31/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.31/0.55 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.31/0.55 (step @p21 :rule trans :premises (@p20 @p15)) % 0.31/0.55 (step @p22 :rule cong :premises (@p21) :args (@t7)) % 0.31/0.55 (step @p23 :rule refl :args (tptp.setadjoinIL)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args (@t8)) % 0.31/0.55 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.31/0.55 (step @p26 :rule cong :premises (@p25 @p4) :args (@t21)) % 0.31/0.55 (step @p27 :rule cong :premises (@p26) :args ((not @t21))) % 0.31/0.55 (step @p28 :rule aci_norm :args ((= (or false @t16) @t16))) % 0.31/0.55 (step @p29 :rule refl :args (@t16)) % 0.31/0.55 (step @p30 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p31 :rule eq-refl :args (@t1)) % 0.31/0.55 (step @p32 :rule cong :premises (@p31) :args (@t22)) % 0.31/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.31/0.55 (step @p34 :rule nary_cong :premises (@p33 @p29) :args (@t23)) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p28)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35) :args ((forall @t17 @t23))) % 0.31/0.55 (step @p37 :rule quant-var-elim-eq :args ((= (forall @t27 @t26) @t23))) % 0.31/0.55 (step @p38 :rule aci_norm :args ((= @t28 @t26))) % 0.31/0.55 (step @p39 :rule cong :premises (@p38) :args (@t29)) % 0.31/0.55 (step @p40 :rule trans :premises (@p39 @p37)) % 0.31/0.55 (step @p41 :rule cong :premises (@p40) :args (@t30)) % 0.31/0.55 (step @p42 :rule quant-merge-prenex :args ((= @t30 @t31))) % 0.31/0.55 (step @p43 :rule symm :premises (@p42)) % 0.31/0.55 (step @p44 :rule quant_var_reordering :args ((= (forall @t6 @t28) @t31))) % 0.31/0.55 (step @p45 :rule trans :premises (@p44 @p43 @p41)) % 0.31/0.55 (step @p46 :rule trans :premises (@p45 @p36)) % 0.31/0.55 (step @p47 :rule refl :args ((tptp.in @t2 @t9))) % 0.31/0.55 (step @p48 :rule refl :args (@t15)) % 0.31/0.55 (step @p49 :rule cong :premises (@p7 @p48) :args (@t24)) % 0.31/0.55 (step @p50 :rule trans :premises (@p49 @p47)) % 0.31/0.55 (step @p51 :rule ho_cong :premises (@p10 @p48)) % 0.31/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((= (_ @t4 @t15) @t24))) % 0.31/0.55 (step @p53 :rule symm :premises (@p52)) % 0.31/0.55 (step @p54 :rule refl :args (@t10)) % 0.31/0.55 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.31/0.55 (step @p56 :rule refl :args (@t9)) % 0.31/0.55 (step @p57 :rule cong :premises (@p56 @p48) :args ((= @t9 @t15))) % 0.31/0.55 (step @p58 :rule symm :premises (@p57)) % 0.31/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.31/0.55 (step @p60 :rule ho_cong :premises (@p10 @p59)) % 0.31/0.55 (step @p61 :rule trans :premises (@p60 @p55)) % 0.31/0.55 (step @p62 :rule refl :args (@t25)) % 0.31/0.55 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t32)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63) :args ((forall @t6 @t32))) % 0.31/0.55 (step @p65 :rule trans :premises (@p64 @p46)) % 0.31/0.55 (step @p66 :rule bool-impl-elim :args (@t11 @t10)) % 0.31/0.55 (step @p67 :rule cong :premises (@p66) :args (@t12)) % 0.31/0.55 (step @p68 :rule trans :premises (@p67 @p65)) % 0.31/0.55 (step @p69 :rule cong :premises (@p23 @p68) :args (@t13)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69) :args (@t14)) % 0.31/0.55 (step @p71 :rule trans :premises (@p70 @p27)) % 0.31/0.55 (step @p72 :rule eq_resolve :premises (@p2 @p71)) % 0.31/0.55 (step @p73 :rule not_implies_elim1 :premises (@p72)) % 0.31/0.55 (step @p74 :rule not_implies_elim2 :premises (@p72)) % 0.31/0.55 (step @p75 :rule skolemize :premises (@p74)) % 0.31/0.55 (assume-push @p82 @t33) % 0.31/0.55 (step @p77 :rule instantiate :premises (@p73) :args ((@list @t34 tptp.emptyset))) % 0.31/0.55 (step-pop @p83 :rule scope :premises (@p77)) % 0.31/0.55 (step @p78 :rule process_scope :premises (@p83) :args (@t35)) % 0.31/0.55 (step @p80 :rule implies_elim :premises (@p78)) % 0.31/0.55 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p73) :args (false (@list true false) (@list @t35 @t33))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.39/0.55 % cvc5 exiting %------------------------------------------------------------------------------