%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET185^5 : 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 : n020.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 08:47:36 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 % 0.12/0.13 % Problem : SET185^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 15:08:56 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----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 tptp.a 0) % 0.40/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.40/0.57 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.40/0.57 (define @t3 () (_ @t2 @t1)) % 0.40/0.57 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.40/0.57 (define @t5 () (_ @t4 @t1)) % 0.40/0.57 (define @t6 () (or @t5 @t3)) % 0.40/0.57 (define @t7 () (@list @t1)) % 0.40/0.57 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.40/0.57 (define @t9 () (forall @t7 (=> @t5 @t3))) % 0.40/0.57 (define @t10 () (=> @t9 @t8)) % 0.40/0.57 (define @t11 () (@list @t4 @t2)) % 0.40/0.57 (define @t12 () (forall @t11 @t10)) % 0.40/0.57 (define @t13 () (not @t12)) % 0.40/0.57 (define @t14 () (@var "BOUND_VARIABLE_7445" tptp.a)) % 0.40/0.57 (define @t15 () (_ @t2 @t14)) % 0.40/0.57 (define @t16 () (and (not (_ @t4 @t14)) (not @t15))) % 0.40/0.57 (define @t17 () (_ @t2 @t1)) % 0.40/0.57 (define @t18 () (_ @t4 @t1)) % 0.40/0.57 (define @t19 () (not @t18)) % 0.40/0.57 (define @t20 () (forall @t7 (or @t19 @t17))) % 0.40/0.57 (define @t21 () (not @t20)) % 0.40/0.57 (define @t22 () (or @t21 @t16 @t15)) % 0.40/0.57 (define @t23 () (or @t16 @t15)) % 0.40/0.57 (define @t24 () (or @t21 @t23)) % 0.40/0.57 (define @t25 () (@list @t4 @t2 @t14)) % 0.40/0.57 (define @t26 () (forall @t25 @t24)) % 0.40/0.57 (define @t27 () (@list @t14)) % 0.40/0.57 (define @t28 () (forall @t27 @t24)) % 0.40/0.57 (define @t29 () (forall @t27 @t23)) % 0.40/0.57 (define @t30 () (or @t21 @t29)) % 0.40/0.57 (define @t31 () (forall @t7 (or (and @t19 (not @t17)) @t17))) % 0.40/0.57 (define @t32 () (not @t3)) % 0.40/0.57 (define @t33 () (not @t5)) % 0.40/0.57 (define @t34 () (and @t33 @t32)) % 0.40/0.57 (define @t35 () (or @t34 @t3)) % 0.40/0.57 (define @t36 () (or @t33 @t3)) % 0.40/0.57 (define @t37 () (forall @t25 @t22)) % 0.40/0.57 (define @t38 () (@quantifiers_skolemize @t37 1)) % 0.40/0.57 (define @t39 () (@quantifiers_skolemize @t37 0)) % 0.40/0.57 (define @t40 () (forall @t7 (or (not (_ @t39 @t1)) (_ @t38 @t1)))) % 0.40/0.57 (define @t41 () (@quantifiers_skolemize @t37 2)) % 0.40/0.57 (define @t42 () (_ @t38 @t41)) % 0.40/0.57 (define @t43 () (not @t42)) % 0.40/0.57 (define @t44 () (_ @t39 @t41)) % 0.40/0.57 (define @t45 () (not @t44)) % 0.40/0.57 (define @t46 () (and @t45 @t43)) % 0.40/0.57 (define @t47 () (not @t40)) % 0.40/0.57 (define @t48 () (or @t47 @t46 @t42)) % 0.40/0.57 (define @t49 () (@list true)) % 0.40/0.57 (define @t50 () (@list @t48)) % 0.40/0.57 (define @t51 () (or @t45 @t42)) % 0.40/0.57 (define @t52 () (not @t51)) % 0.40/0.57 (assume @p1 @t13) % 0.40/0.57 (assume @p2 true) % 0.40/0.57 (step @p3 :rule aci_norm :args ((= @t24 @t22))) % 0.40/0.57 (step @p4 :rule cong :premises (@p3) :args (@t26)) % 0.40/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t11 @t28) @t26))) % 0.40/0.57 (step @p6 :rule alpha_equiv :args (@t29 (@list @t14) (@list @t1))) % 0.40/0.57 (step @p7 :rule refl :args (@t21)) % 0.40/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t30)) % 0.40/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.40/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.40/0.57 (step @p11 :rule symm :premises (@p10)) % 0.40/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t11 (or @t21 @t31)))) % 0.40/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.40/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.40/0.57 (step @p15 :rule bool-impl-elim :args (@t20 @t31)) % 0.40/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t11 (=> @t20 @t31)))) % 0.40/0.57 (step @p17 :rule trans :premises (@p16 @p14)) % 0.40/0.57 (step @p18 :rule refl :args (@t17)) % 0.40/0.57 (step @p19 :rule refl :args (@t3)) % 0.40/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t3 @t17))) % 0.40/0.57 (step @p21 :rule symm :premises (@p20)) % 0.40/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.40/0.57 (step @p23 :rule cong :premises (@p22) :args (@t32)) % 0.40/0.57 (step @p24 :rule refl :args (@t18)) % 0.40/0.57 (step @p25 :rule refl :args (@t5)) % 0.40/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t5 @t18))) % 0.40/0.57 (step @p27 :rule symm :premises (@p26)) % 0.40/0.57 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28) :args (@t33)) % 0.40/0.57 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t34)) % 0.40/0.57 (step @p31 :rule nary_cong :premises (@p30 @p22) :args (@t35)) % 0.40/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t7 @t35))) % 0.40/0.57 (step @p33 :rule bool-or-de-morgan :args (@t5 @t3 false)) % 0.40/0.57 (step @p34 :rule nary_cong :premises (@p33 @p19) :args ((or (not @t6) @t3))) % 0.40/0.57 (step @p35 :rule bool-impl-elim :args (@t6 @t3)) % 0.40/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.40/0.57 (step @p37 :rule cong :premises (@p36) :args (@t8)) % 0.40/0.57 (step @p38 :rule trans :premises (@p37 @p32)) % 0.40/0.57 (step @p39 :rule nary_cong :premises (@p29 @p22) :args (@t36)) % 0.40/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 @t36))) % 0.40/0.57 (step @p41 :rule bool-impl-elim :args (@t5 @t3)) % 0.40/0.57 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.40/0.57 (step @p43 :rule trans :premises (@p42 @p40)) % 0.40/0.57 (step @p44 :rule cong :premises (@p43 @p38) :args (@t10)) % 0.40/0.57 (step @p45 :rule cong :premises (@p44) :args (@t12)) % 0.40/0.57 (step @p46 :rule trans :premises (@p45 @p17)) % 0.40/0.57 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 0.40/0.57 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.40/0.57 (step @p49 :rule skolemize :premises (@p48)) % 0.40/0.57 (step @p50 :rule bool-double-not-elim :args (@t40)) % 0.40/0.57 (step @p51 :rule refl :args (@t48)) % 0.40/0.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t48 (not @t47)))) % 0.40/0.57 (step @p53 :rule cnf_or_neg :args (@t48 0)) % 0.40/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.40/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t40 @t48))) % 0.40/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p49) :args (@t40 @t49 @t50)) % 0.40/0.57 (step @p57 :rule cnf_or_neg :args (@t48 2)) % 0.40/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t43 @t48))) % 0.40/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p49) :args (@t43 @t49 @t50)) % 0.40/0.57 (step @p60 :rule cnf_or_neg :args (@t48 1)) % 0.40/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p49) :args ((not @t46) @t49 @t50)) % 0.40/0.57 (step @p62 :rule bool-double-not-elim :args (@t42)) % 0.40/0.57 (step @p63 :rule bool-double-not-elim :args (@t44)) % 0.40/0.57 (step @p64 :rule refl :args (@t46)) % 0.40/0.57 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args ((or @t46 (not @t45) (not @t43)))) % 0.40/0.57 (step @p66 :rule cnf_and_neg :args (@t46)) % 0.40/0.57 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.40/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t44 @t42 @t46))) % 0.40/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p59 @p61) :args (@t44 (@list true true) (@list @t42 @t46))) % 0.40/0.57 (step @p70 :rule cnf_or_pos :args (@t51)) % 0.40/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t45 @t42 @t52))) % 0.40/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p59) :args (@t52 (@list false true) (@list @t44 @t42))) % 0.40/0.57 (assume-push @p79 @t40) % 0.40/0.57 (step @p74 :rule instantiate :premises (@p56) :args ((@list @t41))) % 0.40/0.57 (step-pop @p80 :rule scope :premises (@p74)) % 0.40/0.57 (step @p75 :rule process_scope :premises (@p80) :args (@t51)) % 0.40/0.57 (step @p77 :rule implies_elim :premises (@p75)) % 0.40/0.57 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p56) :args (false (@list true false) (@list @t51 @t40))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------