%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET009^5 : 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 : n013.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 08:46:53 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET009^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n013.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.a 0) % 0.38/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.56 (define @t2 () (@var "X" (-> tptp.a Bool))) % 0.38/0.56 (define @t3 () (_ @t2 @t1)) % 0.38/0.56 (define @t4 () (not @t3)) % 0.38/0.56 (define @t5 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.56 (define @t6 () (_ @t5 @t1)) % 0.38/0.56 (define @t7 () (and @t6 @t4)) % 0.38/0.56 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.56 (define @t9 () (_ @t8 @t1)) % 0.38/0.56 (define @t10 () (not @t9)) % 0.38/0.56 (define @t11 () (and @t6 @t10)) % 0.38/0.56 (define @t12 () (@list @t1)) % 0.38/0.56 (define @t13 () (forall @t12 (=> @t11 @t7))) % 0.38/0.56 (define @t14 () (forall @t12 (=> @t3 @t9))) % 0.38/0.56 (define @t15 () (=> @t14 @t13)) % 0.38/0.56 (define @t16 () (@list @t2 @t8 @t5)) % 0.38/0.56 (define @t17 () (forall @t16 @t15)) % 0.38/0.56 (define @t18 () (not @t17)) % 0.38/0.56 (define @t19 () (@var "BOUND_VARIABLE_7450" tptp.a)) % 0.38/0.56 (define @t20 () (_ @t5 @t19)) % 0.38/0.56 (define @t21 () (and @t20 (not (_ @t2 @t19)))) % 0.38/0.56 (define @t22 () (_ @t8 @t19)) % 0.38/0.56 (define @t23 () (not @t20)) % 0.38/0.56 (define @t24 () (_ @t8 @t1)) % 0.38/0.56 (define @t25 () (_ @t2 @t1)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (forall @t12 (or @t26 @t24))) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (or @t28 @t23 @t22 @t21)) % 0.38/0.56 (define @t30 () (or @t23 @t22 @t21)) % 0.38/0.56 (define @t31 () (or @t28 @t30)) % 0.38/0.56 (define @t32 () (@list @t2 @t8 @t5 @t19)) % 0.38/0.56 (define @t33 () (forall @t32 @t31)) % 0.38/0.56 (define @t34 () (@list @t19)) % 0.38/0.56 (define @t35 () (forall @t34 @t31)) % 0.38/0.56 (define @t36 () (forall @t34 @t30)) % 0.38/0.56 (define @t37 () (or @t28 @t36)) % 0.38/0.56 (define @t38 () (_ @t5 @t1)) % 0.38/0.56 (define @t39 () (forall @t12 (or (not @t38) @t24 (and @t38 @t26)))) % 0.38/0.56 (define @t40 () (not @t6)) % 0.38/0.56 (define @t41 () (or @t40 @t9 @t7)) % 0.38/0.56 (define @t42 () (or @t4 @t9)) % 0.38/0.56 (define @t43 () (forall @t32 @t29)) % 0.38/0.56 (define @t44 () (@quantifiers_skolemize @t43 1)) % 0.38/0.56 (define @t45 () (@quantifiers_skolemize @t43 0)) % 0.38/0.56 (define @t46 () (forall @t12 (or (not (_ @t45 @t1)) (_ @t44 @t1)))) % 0.38/0.56 (define @t47 () (@quantifiers_skolemize @t43 3)) % 0.38/0.56 (define @t48 () (_ @t45 @t47)) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (_ (@quantifiers_skolemize @t43 2) @t47)) % 0.38/0.56 (define @t51 () (and @t50 @t49)) % 0.38/0.56 (define @t52 () (_ @t44 @t47)) % 0.38/0.56 (define @t53 () (not @t50)) % 0.38/0.56 (define @t54 () (not @t46)) % 0.38/0.56 (define @t55 () (or @t54 @t53 @t52 @t51)) % 0.38/0.56 (define @t56 () (@list true)) % 0.38/0.56 (define @t57 () (@list @t55)) % 0.38/0.56 (define @t58 () (or @t49 @t52)) % 0.38/0.56 (define @t59 () (not @t58)) % 0.38/0.56 (define @t60 () (@list true false)) % 0.38/0.56 (assume @p1 @t18) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule aci_norm :args ((= @t31 @t29))) % 0.38/0.56 (step @p4 :rule cong :premises (@p3) :args (@t33)) % 0.38/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t16 @t35) @t33))) % 0.38/0.56 (step @p6 :rule alpha_equiv :args (@t36 (@list @t19) (@list @t1))) % 0.38/0.56 (step @p7 :rule refl :args (@t28)) % 0.38/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t37)) % 0.38/0.56 (step @p9 :rule quant-miniscope-or :args ((= @t35 @t37))) % 0.38/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.38/0.56 (step @p11 :rule symm :premises (@p10)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t16 (or @t28 @t39)))) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p5)) % 0.38/0.56 (step @p14 :rule trans :premises (@p13 @p4)) % 0.38/0.56 (step @p15 :rule bool-impl-elim :args (@t27 @t39)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t16 (=> @t27 @t39)))) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p14)) % 0.38/0.56 (step @p18 :rule refl :args (@t25)) % 0.38/0.56 (step @p19 :rule refl :args (@t3)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t3 @t25))) % 0.38/0.56 (step @p21 :rule symm :premises (@p20)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t4)) % 0.38/0.56 (step @p24 :rule refl :args (@t38)) % 0.38/0.56 (step @p25 :rule refl :args (@t6)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t6 @t38))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.38/0.56 (step @p29 :rule nary_cong :premises (@p28 @p23) :args (@t7)) % 0.38/0.56 (step @p30 :rule refl :args (@t24)) % 0.38/0.56 (step @p31 :rule refl :args (@t9)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t9 @t24))) % 0.38/0.56 (step @p33 :rule symm :premises (@p32)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.56 (step @p35 :rule cong :premises (@p28) :args (@t40)) % 0.38/0.56 (step @p36 :rule nary_cong :premises (@p35 @p34 @p29) :args (@t41)) % 0.38/0.56 (step @p37 :rule cong :premises (@p36) :args ((forall @t12 @t41))) % 0.38/0.56 (step @p38 :rule aci_norm :args ((= (or (or @t40 @t9) @t7) @t41))) % 0.38/0.56 (step @p39 :rule refl :args (@t7)) % 0.38/0.56 (step @p40 :rule bool-double-not-elim :args (@t9)) % 0.38/0.56 (step @p41 :rule refl :args (@t40)) % 0.38/0.56 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t40 (not @t10)))) % 0.38/0.56 (step @p43 :rule bool-and-de-morgan :args (@t6 @t10 true)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p44 @p39) :args ((or (not @t11) @t7))) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p38)) % 0.38/0.56 (step @p47 :rule bool-impl-elim :args (@t11 @t7)) % 0.38/0.56 (step @p48 :rule trans :premises (@p47 @p46)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48) :args (@t13)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p37)) % 0.38/0.56 (step @p51 :rule nary_cong :premises (@p23 @p34) :args (@t42)) % 0.38/0.56 (step @p52 :rule cong :premises (@p51) :args ((forall @t12 @t42))) % 0.38/0.56 (step @p53 :rule bool-impl-elim :args (@t3 @t9)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53) :args (@t14)) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55 @p50) :args (@t15)) % 0.38/0.56 (step @p57 :rule cong :premises (@p56) :args (@t17)) % 0.38/0.56 (step @p58 :rule trans :premises (@p57 @p17)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args (@t18)) % 0.38/0.56 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.38/0.56 (step @p61 :rule skolemize :premises (@p60)) % 0.38/0.56 (step @p62 :rule bool-double-not-elim :args (@t46)) % 0.38/0.56 (step @p63 :rule refl :args (@t55)) % 0.38/0.56 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t55 (not @t54)))) % 0.38/0.56 (step @p65 :rule cnf_or_neg :args (@t55 0)) % 0.38/0.56 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.38/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t46 @t55))) % 0.38/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p61) :args (@t46 @t56 @t57)) % 0.38/0.56 (step @p69 :rule cnf_or_neg :args (@t55 3)) % 0.38/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p61) :args ((not @t51) @t56 @t57)) % 0.38/0.56 (step @p71 :rule bool-double-not-elim :args (@t50)) % 0.38/0.56 (step @p72 :rule nary_cong :premises (@p63 @p71) :args ((or @t55 (not @t53)))) % 0.38/0.56 (step @p73 :rule cnf_or_neg :args (@t55 1)) % 0.38/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.38/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t50 @t55))) % 0.38/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p61) :args (@t50 @t56 @t57)) % 0.38/0.56 (step @p77 :rule bool-double-not-elim :args (@t48)) % 0.38/0.56 (step @p78 :rule refl :args (@t53)) % 0.38/0.56 (step @p79 :rule refl :args (@t51)) % 0.38/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args ((or @t51 @t53 (not @t49)))) % 0.38/0.56 (step @p81 :rule cnf_and_neg :args (@t51)) % 0.38/0.56 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.38/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t53 @t48 @t51))) % 0.38/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p76 @p70) :args (@t48 (@list false true) (@list @t50 @t51))) % 0.38/0.56 (step @p85 :rule cnf_or_neg :args (@t55 2)) % 0.38/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p61) :args ((not @t52) @t56 @t57)) % 0.38/0.56 (step @p87 :rule cnf_or_pos :args (@t58)) % 0.38/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t52 @t49 @t59))) % 0.38/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p84) :args (@t59 @t60 (@list @t52 @t48))) % 0.38/0.56 (assume-push @p96 @t46) % 0.38/0.56 (step @p91 :rule instantiate :premises (@p68) :args ((@list @t47))) % 0.38/0.56 (step-pop @p97 :rule scope :premises (@p91)) % 0.38/0.56 (step @p92 :rule process_scope :premises (@p97) :args (@t58)) % 0.38/0.56 (step @p94 :rule implies_elim :premises (@p92)) % 0.38/0.56 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p68) :args (false @t60 (@list @t58 @t46))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------