%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MSC025^1 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:36:07 AM UTC 2026 % Result : Theorem 0.53s 0.75s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : MSC025^1 : TPTP v9.2.1. Released v5.5.0. % 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 : n019.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 % 0.17/0.34 % DateTime : Tue Jun 2 09:46:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.53/0.75 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.53/0.75 % SZS status Theorem % 0.53/0.75 % SZS output start Proof % 0.53/0.75 ( % 0.53/0.75 (declare-sort $$unsorted 0) % 0.53/0.75 (declare-const tptp.one $$unsorted) % 0.53/0.75 (declare-const tptp.two $$unsorted) % 0.53/0.75 (define @t1 () (@var "X" $$unsorted)) % 0.53/0.75 (define @t2 () (= tptp.one tptp.two)) % 0.53/0.75 (define @t3 () (not @t2)) % 0.53/0.75 (define @t4 () (@var "X" Bool)) % 0.53/0.75 (define @t5 () (not @t4)) % 0.53/0.75 (define @t6 () (@var "F" (-> Bool $$unsorted))) % 0.53/0.75 (define @t7 () (_ @t6 @t5)) % 0.53/0.75 (define @t8 () (_ @t6 @t4)) % 0.53/0.75 (define @t9 () (= @t8 @t7)) % 0.53/0.75 (define @t10 () (not @t9)) % 0.53/0.75 (define @t11 () (@list @t4)) % 0.53/0.75 (define @t12 () (forall @t11 @t10)) % 0.53/0.75 (define @t13 () (@list @t6)) % 0.53/0.75 (define @t14 () (exists @t13 @t12)) % 0.53/0.75 (define @t15 () (not @t14)) % 0.53/0.75 (define @t16 () (_ @t6 @t5)) % 0.53/0.75 (define @t17 () (_ @t6 @t4)) % 0.53/0.75 (define @t18 () (forall @t11 (not (= @t17 @t16)))) % 0.53/0.75 (define @t19 () (forall @t13 (not @t18))) % 0.53/0.75 (define @t20 () (@var "BOUND_VARIABLE_35874" Bool)) % 0.53/0.75 (define @t21 () (lambda (@list @t20) (ite @t20 tptp.two tptp.one))) % 0.53/0.75 (define @t22 () (_ @t21 @t5)) % 0.53/0.75 (define @t23 () (ite @t4 tptp.two tptp.one)) % 0.53/0.75 (define @t24 () (_ @t21 @t4)) % 0.53/0.75 (define @t25 () (= @t24 @t22)) % 0.53/0.75 (define @t26 () (not @t25)) % 0.53/0.75 (define @t27 () (forall @t11 @t26)) % 0.53/0.75 (define @t28 () (not @t27)) % 0.53/0.75 (define @t29 () (forall @t11 (not (= @t23 (ite @t4 tptp.one tptp.two))))) % 0.53/0.75 (define @t30 () (not @t29)) % 0.53/0.75 (define @t31 () (@quantifiers_skolemize @t29 0)) % 0.53/0.75 (define @t32 () (ite @t31 tptp.two tptp.one)) % 0.53/0.75 (define @t33 () (@purify @t32)) % 0.53/0.75 (define @t34 () (ite @t31 tptp.one tptp.two)) % 0.53/0.75 (define @t35 () (@purify @t34)) % 0.53/0.75 (define @t36 () (= @t35 @t33)) % 0.53/0.75 (define @t37 () (= @t32 @t34)) % 0.53/0.75 (define @t38 () (not (not @t37))) % 0.53/0.75 (define @t39 () (@list true)) % 0.53/0.75 (define @t40 () (= @t34 tptp.two)) % 0.53/0.75 (define @t41 () (= @t34 tptp.one)) % 0.53/0.75 (define @t42 () (not @t31)) % 0.53/0.75 (define @t43 () (= tptp.one @t35)) % 0.53/0.75 (define @t44 () (= @t32 tptp.one)) % 0.53/0.75 (define @t45 () (= @t32 tptp.two)) % 0.53/0.75 (define @t46 () (= tptp.two @t33)) % 0.53/0.75 (define @t47 () (not @t46)) % 0.53/0.75 (define @t48 () (not @t43)) % 0.53/0.75 (define @t49 () (not @t36)) % 0.53/0.75 (define @t50 () (not @t3)) % 0.53/0.75 (define @t51 () (and @t36 @t43 @t46 @t3)) % 0.53/0.75 (define @t52 () (= tptp.two @t35)) % 0.53/0.75 (define @t53 () (@list @t31)) % 0.53/0.75 (define @t54 () (= tptp.one @t33)) % 0.53/0.75 (define @t55 () (not @t54)) % 0.53/0.75 (define @t56 () (not @t52)) % 0.53/0.75 (define @t57 () (and @t3 @t36 @t52)) % 0.53/0.75 (assume @p1 (forall (@list @t1) (or (= @t1 tptp.one) (= @t1 tptp.two)))) % 0.53/0.75 (assume @p2 @t3) % 0.53/0.75 (assume @p3 @t15) % 0.53/0.75 (assume @p4 true) % 0.53/0.75 (step @p5 :rule bool-double-not-elim :args (@t19)) % 0.53/0.75 (step @p6 :rule exists-elim :args ((= (exists @t13 @t18) (not @t19)))) % 0.53/0.75 (step @p7 :rule refl :args (@t16)) % 0.53/0.75 (step @p8 :rule refl :args (@t7)) % 0.53/0.75 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t7 @t16))) % 0.53/0.75 (step @p10 :rule symm :premises (@p9)) % 0.53/0.75 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.53/0.75 (step @p12 :rule refl :args (@t17)) % 0.53/0.75 (step @p13 :rule refl :args (@t8)) % 0.53/0.75 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t8 @t17))) % 0.53/0.75 (step @p15 :rule symm :premises (@p14)) % 0.53/0.75 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.53/0.75 (step @p17 :rule cong :premises (@p16 @p11) :args (@t9)) % 0.53/0.75 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.53/0.75 (step @p19 :rule cong :premises (@p18) :args (@t12)) % 0.53/0.75 (step @p20 :rule cong :premises (@p19) :args (@t14)) % 0.53/0.75 (step @p21 :rule trans :premises (@p20 @p6)) % 0.53/0.75 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.53/0.75 (step @p23 :rule trans :premises (@p22 @p5)) % 0.53/0.75 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.53/0.75 (step @p25 :rule ite-not-cond :args (@t4 tptp.two tptp.one)) % 0.53/0.75 (step @p26 :rule beta-reduce :args ((= @t22 (ite @t5 tptp.two tptp.one)))) % 0.53/0.75 (step @p27 :rule trans :premises (@p26 @p25)) % 0.53/0.75 (step @p28 :rule beta-reduce :args ((= @t24 @t23))) % 0.53/0.75 (step @p29 :rule cong :premises (@p28 @p27) :args (@t25)) % 0.53/0.75 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.53/0.75 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 0.53/0.75 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 0.53/0.75 (step @p33 :rule refl :args (@t19)) % 0.53/0.75 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t19 @t28))) % 0.53/0.75 (assume-push @p168 @t19) % 0.53/0.75 (step @p36 :rule instantiate :premises (@p24) :args ((@list @t21))) % 0.53/0.75 (step-pop @p169 :rule scope :premises (@p36)) % 0.53/0.75 (step @p37 :rule process_scope :premises (@p169) :args (@t28)) % 0.53/0.75 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.53/0.75 (step @p40 :rule implies_elim :premises (@p39)) % 0.53/0.75 (step @p41 :rule chain_m_resolution :premises (@p40 @p24) :args (@t30 (@list false) (@list @t19))) % 0.53/0.75 (step @p42 :rule refl :args (@t36)) % 0.53/0.75 (step @p43 :rule bool-double-not-elim :args (@t29)) % 0.53/0.75 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t30) @t36))) % 0.53/0.75 (step @p45 :rule eq-symm :args (@t33 @t35)) % 0.53/0.75 (step @p46 :rule eq-refl :args (@t34)) % 0.53/0.75 (step @p47 :rule skolem_intro :args (@t35)) % 0.53/0.75 (step @p48 :rule refl :args (@t34)) % 0.53/0.75 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t34 @t35))) % 0.53/0.75 (step @p50 :rule trans :premises (@p49 @p46)) % 0.53/0.75 (step @p51 :rule true_elim :premises (@p50)) % 0.53/0.75 (step @p52 :rule eq-refl :args (@t32)) % 0.53/0.75 (step @p53 :rule skolem_intro :args (@t33)) % 0.53/0.75 (step @p54 :rule refl :args (@t32)) % 0.53/0.75 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t32 @t33))) % 0.53/0.75 (step @p56 :rule trans :premises (@p55 @p52)) % 0.53/0.75 (step @p57 :rule true_elim :premises (@p56)) % 0.53/0.75 (step @p58 :rule cong :premises (@p57 @p51) :args (@t37)) % 0.53/0.75 (step @p59 :rule trans :premises (@p58 @p45)) % 0.53/0.75 (step @p60 :rule refl :args (@t30)) % 0.53/0.75 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t30 @t37))) % 0.53/0.75 (step @p62 :rule bool-double-not-elim :args (@t37)) % 0.53/0.75 (step @p63 :rule cong :premises (@p60 @p62) :args ((=> @t30 @t38))) % 0.53/0.75 (step @p64 :rule trans :premises (@p63 @p61)) % 0.53/0.75 (assume-push @p170 @t30) % 0.53/0.75 (step @p66 :rule skolemize :premises (@p41)) % 0.53/0.75 (step-pop @p171 :rule scope :premises (@p66)) % 0.53/0.75 (step @p67 :rule process_scope :premises (@p171) :args (@t38)) % 0.53/0.75 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.53/0.75 (step @p70 :rule implies_elim :premises (@p69)) % 0.53/0.75 (step @p71 :rule eq_resolve :premises (@p70 @p44)) % 0.53/0.75 (step @p72 :rule chain_m_resolution :premises (@p71 @p41) :args (@t36 @t39 (@list @t29))) % 0.53/0.75 (step @p73 :rule eq-symm :args (@t35 tptp.two)) % 0.53/0.75 (step @p74 :rule eq-symm :args (@t35 tptp.one)) % 0.53/0.75 (step @p75 :rule refl :args (@t31)) % 0.53/0.75 (step @p76 :rule cong :premises (@p75 @p74 @p73) :args ((ite @t31 (= @t35 tptp.one) (= @t35 tptp.two)))) % 0.53/0.75 (step @p77 :rule refl :args (tptp.two)) % 0.53/0.75 (step @p78 :rule cong :premises (@p51 @p77) :args (@t40)) % 0.53/0.75 (step @p79 :rule refl :args (tptp.one)) % 0.53/0.75 (step @p80 :rule cong :premises (@p51 @p79) :args (@t41)) % 0.53/0.75 (step @p81 :rule cong :premises (@p75 @p80 @p78) :args ((ite @t31 @t41 @t40))) % 0.53/0.75 (step @p82 :rule ite_eq :args (@t34)) % 0.53/0.75 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.53/0.75 (step @p84 :rule eq_resolve :premises (@p83 @p76)) % 0.53/0.75 (step @p85 :rule ite_elim1 :premises (@p84)) % 0.53/0.75 (step @p86 :rule reordering :premises (@p85) :args ((or @t43 @t42))) % 0.53/0.75 (step @p87 :rule eq-symm :args (@t33 tptp.one)) % 0.53/0.75 (step @p88 :rule eq-symm :args (@t33 tptp.two)) % 0.53/0.75 (step @p89 :rule cong :premises (@p75 @p88 @p87) :args ((ite @t31 (= @t33 tptp.two) (= @t33 tptp.one)))) % 0.53/0.75 (step @p90 :rule cong :premises (@p57 @p79) :args (@t44)) % 0.53/0.75 (step @p91 :rule cong :premises (@p57 @p77) :args (@t45)) % 0.53/0.75 (step @p92 :rule cong :premises (@p75 @p91 @p90) :args ((ite @t31 @t45 @t44))) % 0.53/0.75 (step @p93 :rule ite_eq :args (@t32)) % 0.53/0.75 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.53/0.75 (step @p95 :rule eq_resolve :premises (@p94 @p89)) % 0.53/0.75 (step @p96 :rule ite_elim1 :premises (@p95)) % 0.53/0.75 (step @p97 :rule reordering :premises (@p96) :args ((or @t46 @t42))) % 0.53/0.75 (step @p98 :rule refl :args (@t47)) % 0.53/0.75 (step @p99 :rule refl :args (@t48)) % 0.53/0.75 (step @p100 :rule refl :args (@t49)) % 0.53/0.75 (step @p101 :rule bool-double-not-elim :args (@t2)) % 0.53/0.75 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98) :args ((or @t50 @t49 @t48 @t47))) % 0.53/0.75 (assume-push @p172 @t36) % 0.53/0.75 (assume-push @p173 @t43) % 0.53/0.75 (assume-push @p174 @t46) % 0.53/0.75 (assume-push @p175 @t3) % 0.53/0.75 (step @p107 :rule evaluate :args ((= false true))) % 0.53/0.75 (step @p108 :rule symm :premises (@p174)) % 0.53/0.75 (step @p109 :rule trans :premises (@p173 @p72 @p108)) % 0.53/0.75 (step @p110 :rule true_intro :premises (@p109)) % 0.53/0.75 (step @p111 :rule false_intro :premises (@p2)) % 0.53/0.75 (step @p112 :rule symm :premises (@p111)) % 0.53/0.75 (step @p113 :rule trans :premises (@p112 @p110)) % 0.53/0.75 (step @p114 false :rule eq_resolve :premises (@p113 @p107)) % 0.53/0.75 (step-pop @p176 :rule scope :premises (@p114)) % 0.53/0.75 (step-pop @p177 :rule scope :premises (@p176)) % 0.53/0.75 (step-pop @p178 :rule scope :premises (@p177)) % 0.53/0.75 (step-pop @p179 :rule scope :premises (@p178)) % 0.53/0.75 (step @p115 :rule process_scope :premises (@p179) :args (false)) % 0.53/0.75 (assume-push @p180 @t3) % 0.53/0.75 (assume-push @p181 @t36) % 0.53/0.75 (assume-push @p182 @t43) % 0.53/0.75 (assume-push @p183 @t46) % 0.53/0.75 (step @p124 :rule and_intro :premises (@p72 @p182 @p183 @p2)) % 0.53/0.75 (step-pop @p184 :rule scope :premises (@p124)) % 0.53/0.75 (step-pop @p185 :rule scope :premises (@p184)) % 0.53/0.75 (step-pop @p186 :rule scope :premises (@p185)) % 0.53/0.75 (step-pop @p187 :rule scope :premises (@p186)) % 0.53/0.75 (step @p125 :rule process_scope :premises (@p187) :args (@t51)) % 0.53/0.75 (step @p130 :rule implies_elim :premises (@p125)) % 0.53/0.75 (step @p131 :rule resolution :premises (@p130 @p115) :args (true @t51)) % 0.53/0.75 (step @p132 :rule not_and :premises (@p131)) % 0.53/0.75 (step @p133 :rule eq_resolve :premises (@p132 @p102)) % 0.53/0.75 (step @p134 :rule chain_m_resolution :premises (@p133 @p72 @p2 @p97 @p86) :args (@t42 (@list false true false false) (@list @t36 @t2 @t46 @t43))) % 0.53/0.75 (step @p135 :rule ite_elim2 :premises (@p84)) % 0.53/0.75 (step @p136 :rule chain_m_resolution :premises (@p135 @p134) :args (@t52 @t39 @t53)) % 0.53/0.75 (step @p137 :rule ite_elim2 :premises (@p95)) % 0.53/0.75 (step @p138 :rule chain_m_resolution :premises (@p137 @p134) :args (@t54 @t39 @t53)) % 0.53/0.75 (step @p139 :rule refl :args (@t55)) % 0.53/0.75 (step @p140 :rule refl :args (@t56)) % 0.53/0.75 (step @p141 :rule nary_cong :premises (@p101 @p100 @p140 @p139) :args ((or @t50 @t49 @t56 @t55))) % 0.53/0.75 (assume-push @p188 @t3) % 0.53/0.75 (assume-push @p189 @t36) % 0.53/0.75 (assume-push @p190 @t52) % 0.53/0.75 (assume-push @p191 @t3) % 0.53/0.75 (assume-push @p192 @t52) % 0.53/0.75 (assume-push @p193 @t36) % 0.53/0.75 (step @p111 :rule false_intro :premises (@p2)) % 0.53/0.75 (step @p148 :rule trans :premises (@p190 @p72)) % 0.53/0.75 (step @p149 :rule symm :premises (@p148)) % 0.53/0.75 (step @p150 :rule cong :premises (@p79 @p149) :args (@t54)) % 0.53/0.75 (step @p151 :rule trans :premises (@p150 @p111)) % 0.53/0.75 (step @p152 :rule false_elim :premises (@p151)) % 0.53/0.75 (step-pop @p194 :rule scope :premises (@p152)) % 0.53/0.75 (step-pop @p195 :rule scope :premises (@p194)) % 0.53/0.75 (step-pop @p196 :rule scope :premises (@p195)) % 0.53/0.75 (step @p153 :rule process_scope :premises (@p196) :args (@t55)) % 0.53/0.75 (step @p157 :rule and_intro :premises (@p2 @p190 @p72)) % 0.53/0.75 (step @p158 :rule modus_ponens :premises (@p157 @p153)) % 0.53/0.75 (step-pop @p197 :rule scope :premises (@p158)) % 0.53/0.75 (step-pop @p198 :rule scope :premises (@p197)) % 0.53/0.75 (step-pop @p199 :rule scope :premises (@p198)) % 0.53/0.75 (step @p159 :rule process_scope :premises (@p199) :args (@t55)) % 0.53/0.75 (step @p163 :rule implies_elim :premises (@p159)) % 0.53/0.75 (step @p164 :rule cnf_and_neg :args (@t57)) % 0.53/0.75 (step @p165 :rule resolution :premises (@p164 @p163) :args (true @t57)) % 0.53/0.75 (step @p166 :rule eq_resolve :premises (@p165 @p141)) % 0.53/0.75 (step @p167 false :rule chain_m_resolution :premises (@p166 @p138 @p136 @p72 @p2) :args (false (@list false false false true) (@list @t54 @t52 @t36 @t2))) % 0.53/0.75 ) % 0.53/0.75 % SZS output end Proof % 0.53/0.75 % cvc5 exiting %------------------------------------------------------------------------------