%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO255^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:12:19 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO255^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : Wed Jun 3 00:01:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.a $$unsorted) % 0.16/0.36 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.16/0.36 (define @t1 () (@var "Xy" $$unsorted)) % 0.16/0.36 (define @t2 () (@var "A" (-> $$unsorted Bool))) % 0.16/0.36 (define @t3 () (_ @t2 @t1)) % 0.16/0.36 (define @t4 () (@list @t1)) % 0.16/0.36 (define @t5 () (exists @t4 @t3)) % 0.16/0.36 (define @t6 () (@var "Xx" $$unsorted)) % 0.16/0.36 (define @t7 () (_ tptp.cP @t6)) % 0.16/0.36 (define @t8 () (_ @t2 @t6)) % 0.16/0.36 (define @t9 () (@list @t6)) % 0.16/0.36 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.16/0.36 (define @t11 () (and @t10 @t5)) % 0.16/0.36 (define @t12 () (@list @t2)) % 0.16/0.36 (define @t13 () (exists @t12 @t11)) % 0.16/0.36 (define @t14 () (_ tptp.cP tptp.a)) % 0.16/0.36 (define @t15 () (=> @t14 @t13)) % 0.16/0.36 (define @t16 () (not @t15)) % 0.16/0.36 (define @t17 () (@var "BOUND_VARIABLE_7449" $$unsorted)) % 0.16/0.36 (define @t18 () (not (_ @t2 @t17))) % 0.16/0.36 (define @t19 () (tptp.cP @t6)) % 0.16/0.36 (define @t20 () (_ @t2 @t6)) % 0.16/0.36 (define @t21 () (forall @t9 (or (not @t20) @t19))) % 0.16/0.36 (define @t22 () (not @t21)) % 0.16/0.36 (define @t23 () (or @t22 @t18)) % 0.16/0.36 (define @t24 () (forall (@list @t2 @t17) @t23)) % 0.16/0.36 (define @t25 () (not @t24)) % 0.16/0.36 (define @t26 () (tptp.cP tptp.a)) % 0.16/0.36 (define @t27 () (=> @t14 @t25)) % 0.16/0.36 (define @t28 () (@list @t17)) % 0.16/0.36 (define @t29 () (forall @t28 @t23)) % 0.16/0.36 (define @t30 () (forall @t28 @t18)) % 0.16/0.36 (define @t31 () (or @t22 @t30)) % 0.16/0.36 (define @t32 () (_ @t2 @t1)) % 0.16/0.36 (define @t33 () (forall @t4 (not @t32))) % 0.16/0.36 (define @t34 () (not @t33)) % 0.16/0.36 (define @t35 () (and @t21 @t34)) % 0.16/0.36 (define @t36 () (forall @t12 (not @t35))) % 0.16/0.36 (define @t37 () (not @t36)) % 0.16/0.36 (define @t38 () (not @t3)) % 0.16/0.36 (define @t39 () (forall @t4 @t38)) % 0.16/0.36 (define @t40 () (not @t39)) % 0.16/0.36 (define @t41 () (not @t8)) % 0.16/0.36 (define @t42 () (or @t41 @t7)) % 0.16/0.36 (define @t43 () (not @t26)) % 0.16/0.36 (define @t44 () (forall @t9 (or (not @t19) @t19))) % 0.16/0.36 (define @t45 () (not @t44)) % 0.16/0.36 (define @t46 () (or @t45 @t43)) % 0.16/0.36 (assume @p1 @t16) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule refl :args (@t25)) % 0.16/0.36 (step @p4 :rule refl :args (@t26)) % 0.16/0.36 (step @p5 :rule refl :args (@t14)) % 0.16/0.36 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t14 @t26))) % 0.16/0.36 (step @p7 :rule symm :premises (@p6)) % 0.16/0.36 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.16/0.36 (step @p9 :rule cong :premises (@p8 @p3) :args (@t27)) % 0.16/0.36 (step @p10 :rule cong :premises (@p9) :args ((not @t27))) % 0.16/0.36 (step @p11 :rule quant-merge-prenex :args ((= (forall @t12 @t29) @t24))) % 0.16/0.36 (step @p12 :rule alpha_equiv :args (@t30 (@list @t17) (@list @t1))) % 0.16/0.36 (step @p13 :rule refl :args (@t22)) % 0.16/0.36 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t31)) % 0.16/0.36 (step @p15 :rule quant-miniscope-or :args ((= @t29 @t31))) % 0.16/0.36 (step @p16 :rule trans :premises (@p15 @p14)) % 0.16/0.36 (step @p17 :rule symm :premises (@p16)) % 0.16/0.36 (step @p18 :rule cong :premises (@p17) :args ((forall @t12 (or @t22 @t33)))) % 0.16/0.36 (step @p19 :rule trans :premises (@p18 @p11)) % 0.16/0.36 (step @p20 :rule bool-double-not-elim :args (@t33)) % 0.16/0.36 (step @p21 :rule nary_cong :premises (@p13 @p20) :args ((or @t22 (not @t34)))) % 0.16/0.36 (step @p22 :rule bool-and-de-morgan :args (@t21 @t34 true)) % 0.16/0.36 (step @p23 :rule trans :premises (@p22 @p21)) % 0.16/0.36 (step @p24 :rule cong :premises (@p23) :args (@t36)) % 0.16/0.36 (step @p25 :rule trans :premises (@p24 @p19)) % 0.16/0.36 (step @p26 :rule cong :premises (@p25) :args (@t37)) % 0.16/0.36 (step @p27 :rule exists-elim :args ((= (exists @t12 @t35) @t37))) % 0.16/0.36 (step @p28 :rule trans :premises (@p27 @p26)) % 0.16/0.36 (step @p29 :rule refl :args (@t32)) % 0.16/0.36 (step @p30 :rule refl :args (@t3)) % 0.16/0.36 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t3 @t32))) % 0.16/0.36 (step @p32 :rule symm :premises (@p31)) % 0.16/0.36 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.16/0.36 (step @p34 :rule cong :premises (@p33) :args (@t38)) % 0.16/0.36 (step @p35 :rule cong :premises (@p34) :args (@t39)) % 0.16/0.36 (step @p36 :rule cong :premises (@p35) :args (@t40)) % 0.16/0.36 (step @p37 :rule exists-elim :args ((= @t5 @t40))) % 0.16/0.36 (step @p38 :rule trans :premises (@p37 @p36)) % 0.16/0.36 (step @p39 :rule refl :args (@t19)) % 0.16/0.36 (step @p40 :rule refl :args (@t7)) % 0.16/0.36 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t7 @t19))) % 0.16/0.36 (step @p42 :rule symm :premises (@p41)) % 0.16/0.36 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.16/0.36 (step @p44 :rule refl :args (@t20)) % 0.16/0.36 (step @p45 :rule refl :args (@t8)) % 0.16/0.36 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t8 @t20))) % 0.16/0.37 (step @p47 :rule symm :premises (@p46)) % 0.16/0.37 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.16/0.37 (step @p49 :rule cong :premises (@p48) :args (@t41)) % 0.16/0.37 (step @p50 :rule nary_cong :premises (@p49 @p43) :args (@t42)) % 0.16/0.37 (step @p51 :rule cong :premises (@p50) :args ((forall @t9 @t42))) % 0.16/0.37 (step @p52 :rule bool-impl-elim :args (@t8 @t7)) % 0.16/0.37 (step @p53 :rule cong :premises (@p52) :args (@t10)) % 0.16/0.37 (step @p54 :rule trans :premises (@p53 @p51)) % 0.16/0.37 (step @p55 :rule nary_cong :premises (@p54 @p38) :args (@t11)) % 0.16/0.37 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 0.16/0.37 (step @p57 :rule trans :premises (@p56 @p28)) % 0.16/0.37 (step @p58 :rule refl :args (@t14)) % 0.16/0.37 (step @p59 :rule cong :premises (@p58 @p57) :args (@t15)) % 0.16/0.37 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.16/0.37 (step @p61 :rule trans :premises (@p60 @p10)) % 0.16/0.37 (step @p62 :rule eq_resolve :premises (@p1 @p61)) % 0.16/0.37 (step @p63 :rule not_implies_elim1 :premises (@p62)) % 0.16/0.37 (step @p64 :rule not_implies_elim2 :premises (@p62)) % 0.16/0.37 (step @p65 :rule not_not_elim :premises (@p64)) % 0.16/0.37 (step @p66 :rule aci_norm :args ((= (or false @t43) @t43))) % 0.16/0.37 (step @p67 :rule refl :args (@t43)) % 0.16/0.37 (step @p68 :rule evaluate :args ((not true))) % 0.16/0.37 (step @p69 :rule quant-unused-vars :args ((= (forall @t9 true) true))) % 0.16/0.37 (step @p70 :rule bool-or-taut2 :args (false @t19 false false)) % 0.16/0.37 (step @p71 :rule cong :premises (@p70) :args (@t44)) % 0.16/0.37 (step @p72 :rule trans :premises (@p71 @p69)) % 0.16/0.37 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 0.16/0.37 (step @p74 :rule trans :premises (@p73 @p68)) % 0.16/0.37 (step @p75 :rule nary_cong :premises (@p74 @p67) :args (@t46)) % 0.16/0.37 (step @p76 :rule trans :premises (@p75 @p66)) % 0.16/0.37 (step @p77 :rule refl :args (@t24)) % 0.16/0.37 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t24 @t46))) % 0.16/0.37 (assume-push @p86 @t24) % 0.16/0.37 (step @p80 :rule instantiate :premises (@p65) :args ((@list tptp.cP tptp.a))) % 0.16/0.37 (step-pop @p87 :rule scope :premises (@p80)) % 0.16/0.37 (step @p81 :rule process_scope :premises (@p87) :args (@t46)) % 0.16/0.37 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.16/0.37 (step @p84 :rule implies_elim :premises (@p83)) % 0.16/0.37 (step @p85 false :rule chain_m_resolution :premises (@p84 @p65 @p63) :args (false (@list false false) (@list @t24 @t26))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------