%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU189+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:50:53 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU189+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:35:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (@list @t1)) % 0.38/0.57 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.57 (define @t5 () (tptp.empty @t2)) % 0.38/0.57 (define @t6 () (tptp.element @t1 @t2)) % 0.38/0.57 (define @t7 () (@list @t1 @t2)) % 0.38/0.57 (define @t8 () (tptp.relation @t1)) % 0.38/0.57 (define @t9 () (tptp.empty @t1)) % 0.38/0.57 (define @t10 () (not @t9)) % 0.38/0.57 (define @t11 () (and @t10 @t8)) % 0.38/0.57 (define @t12 () (tptp.relation_dom @t1)) % 0.38/0.57 (define @t13 () (tptp.empty @t12)) % 0.38/0.57 (define @t14 () (tptp.relation_rng @t1)) % 0.38/0.57 (define @t15 () (tptp.empty @t14)) % 0.38/0.57 (define @t16 () (tptp.empty tptp.empty_set)) % 0.38/0.57 (define @t17 () (= @t1 tptp.empty_set)) % 0.38/0.57 (define @t18 () (= @t14 tptp.empty_set)) % 0.38/0.57 (define @t19 () (= @t12 tptp.empty_set)) % 0.38/0.57 (define @t20 () (= @t19 @t18)) % 0.38/0.57 (define @t21 () (forall @t3 (=> @t8 @t20))) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (tptp.relation_rng tptp.empty_set)) % 0.38/0.57 (define @t24 () (tptp.relation_dom tptp.empty_set)) % 0.38/0.57 (define @t25 () (or @t19 @t18)) % 0.38/0.57 (define @t26 () (=> @t25 @t17)) % 0.38/0.57 (define @t27 () (forall @t3 (=> @t8 @t26))) % 0.38/0.57 (define @t28 () (not @t8)) % 0.38/0.57 (define @t29 () (forall @t3 (or @t28 @t20))) % 0.38/0.57 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.38/0.57 (define @t31 () (tptp.relation_rng @t30)) % 0.38/0.57 (define @t32 () (= tptp.empty_set @t31)) % 0.38/0.57 (define @t33 () (tptp.relation_dom @t30)) % 0.38/0.57 (define @t34 () (= tptp.empty_set @t33)) % 0.38/0.57 (define @t35 () (= @t34 @t32)) % 0.38/0.57 (define @t36 () (tptp.relation @t30)) % 0.38/0.57 (define @t37 () (not @t36)) % 0.38/0.57 (define @t38 () (or @t37 @t35)) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (not @t29)) % 0.38/0.57 (define @t41 () (= @t31 tptp.empty_set)) % 0.38/0.57 (define @t42 () (= @t33 tptp.empty_set)) % 0.38/0.57 (define @t43 () (= @t42 @t41)) % 0.38/0.57 (define @t44 () (or @t37 @t43)) % 0.38/0.57 (define @t45 () (not @t44)) % 0.38/0.57 (define @t46 () (@list true)) % 0.38/0.57 (define @t47 () (@list @t38)) % 0.38/0.57 (define @t48 () (not @t32)) % 0.38/0.57 (define @t49 () (not @t34)) % 0.38/0.57 (define @t50 () (and @t49 @t48)) % 0.38/0.57 (define @t51 () (not @t50)) % 0.38/0.57 (define @t52 () (and (not @t19) (not @t18))) % 0.38/0.57 (define @t53 () (or @t28 @t52 @t17)) % 0.38/0.57 (define @t54 () (not @t41)) % 0.38/0.57 (define @t55 () (not @t42)) % 0.38/0.57 (define @t56 () (and @t55 @t54)) % 0.38/0.57 (define @t57 () (or @t37 @t56 (= @t30 tptp.empty_set))) % 0.38/0.57 (define @t58 () (forall @t3 @t53)) % 0.38/0.57 (define @t59 () (= tptp.empty_set @t30)) % 0.38/0.57 (define @t60 () (or @t37 @t50 @t59)) % 0.38/0.57 (define @t61 () (@list false)) % 0.38/0.57 (define @t62 () (= tptp.empty_set @t24)) % 0.38/0.57 (define @t63 () (and @t62 @t59)) % 0.38/0.57 (define @t64 () (not @t59)) % 0.38/0.57 (define @t65 () (@list false true false)) % 0.38/0.57 (define @t66 () (= tptp.empty_set @t23)) % 0.38/0.57 (define @t67 () (and @t66 @t59)) % 0.38/0.57 (assume @p1 (forall @t3 (exists (@list @t2) (tptp.element @t2 @t1)))) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (assume @p3 (forall @t7 (=> @t6 (or @t5 @t4)))) % 0.38/0.57 (assume @p4 (forall @t7 (=> @t4 (not (tptp.in @t2 @t1))))) % 0.38/0.57 (assume @p5 (forall @t7 (=> @t4 @t6))) % 0.38/0.57 (assume @p6 (exists @t3 (and @t9 @t8))) % 0.38/0.57 (assume @p7 (forall @t3 (=> @t9 @t8))) % 0.38/0.57 (assume @p8 (exists @t3 @t11)) % 0.38/0.57 (assume @p9 (forall @t3 (=> @t11 (not @t13)))) % 0.38/0.57 (assume @p10 (forall @t3 (=> @t11 (not @t15)))) % 0.38/0.57 (assume @p11 (forall @t3 (=> @t9 (and @t13 (tptp.relation @t12))))) % 0.38/0.57 (assume @p12 (forall @t3 (=> @t9 (and @t15 (tptp.relation @t14))))) % 0.38/0.57 (assume @p13 (exists @t3 @t9)) % 0.38/0.57 (assume @p14 (exists @t3 @t10)) % 0.38/0.57 (assume @p15 (forall @t7 (not (and @t4 @t5)))) % 0.38/0.57 (assume @p16 (forall @t7 (not (and @t9 (not (= @t1 @t2)) @t5)))) % 0.38/0.57 (assume @p17 (and @t16 (tptp.relation tptp.empty_set))) % 0.38/0.57 (assume @p18 @t16) % 0.38/0.57 (assume @p19 (forall @t3 (=> @t9 @t17))) % 0.38/0.57 (assume @p20 @t22) % 0.38/0.57 (assume @p21 (and (= @t24 tptp.empty_set) (= @t23 tptp.empty_set))) % 0.38/0.57 (assume @p22 @t27) % 0.38/0.57 (step @p23 :rule and_elim :premises (@p21) :args (1)) % 0.38/0.57 (step @p24 :rule symm :premises (@p23)) % 0.38/0.57 (step @p25 :rule bool-impl-elim :args (@t8 @t20)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25) :args (@t21)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26) :args (@t22)) % 0.38/0.57 (step @p28 :rule eq_resolve :premises (@p20 @p27)) % 0.38/0.57 (step @p29 :rule refl :args (@t39)) % 0.38/0.57 (step @p30 :rule bool-double-not-elim :args (@t29)) % 0.38/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t40) @t39))) % 0.38/0.57 (step @p32 :rule eq-symm :args (@t31 tptp.empty_set)) % 0.38/0.57 (step @p33 :rule eq-symm :args (@t33 tptp.empty_set)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33 @p32) :args (@t43)) % 0.38/0.57 (step @p35 :rule refl :args (@t37)) % 0.38/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t44)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36) :args (@t45)) % 0.38/0.57 (step @p38 :rule refl :args (@t40)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t40 @t45))) % 0.38/0.57 (assume-push @p136 @t40) % 0.38/0.57 (step @p41 :rule skolemize :premises (@p28)) % 0.38/0.57 (step-pop @p137 :rule scope :premises (@p41)) % 0.38/0.57 (step @p42 :rule process_scope :premises (@p137) :args (@t45)) % 0.38/0.57 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.38/0.57 (step @p45 :rule implies_elim :premises (@p44)) % 0.38/0.57 (step @p46 :rule eq_resolve :premises (@p45 @p31)) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p28) :args (@t39 @t46 (@list @t29))) % 0.38/0.57 (step @p48 :rule cnf_or_neg :args (@t38 1)) % 0.38/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p47) :args ((not @t35) @t46 @t47)) % 0.38/0.57 (step @p50 :rule cnf_equiv_neg1 :args (@t35)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t34 @t32 @t35))) % 0.38/0.57 (step @p52 :rule cnf_and_pos :args (@t50 1)) % 0.38/0.57 (step @p53 :rule reordering :premises (@p52) :args ((or @t48 @t51))) % 0.38/0.57 (step @p54 :rule bool-double-not-elim :args (@t36)) % 0.38/0.57 (step @p55 :rule refl :args (@t38)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t38 (not @t37)))) % 0.38/0.57 (step @p57 :rule cnf_or_neg :args (@t38 0)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.38/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t36 @t38))) % 0.38/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p47) :args (@t36 @t46 @t47)) % 0.38/0.57 (step @p61 :rule aci_norm :args ((= (or @t28 (or @t52 @t17)) @t53))) % 0.38/0.57 (step @p62 :rule refl :args (@t17)) % 0.38/0.57 (step @p63 :rule bool-or-de-morgan :args (@t19 @t18 false)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or (not @t25) @t17))) % 0.38/0.57 (step @p65 :rule bool-impl-elim :args (@t25 @t17)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p64)) % 0.38/0.57 (step @p67 :rule refl :args (@t28)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t28 @t26))) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p61)) % 0.38/0.57 (step @p70 :rule bool-impl-elim :args (@t8 @t26)) % 0.38/0.57 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71) :args (@t27)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p22 @p72)) % 0.38/0.57 (step @p74 :rule eq-symm :args (@t30 tptp.empty_set)) % 0.38/0.57 (step @p75 :rule cong :premises (@p32) :args (@t54)) % 0.38/0.57 (step @p76 :rule cong :premises (@p33) :args (@t55)) % 0.38/0.57 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t56)) % 0.38/0.57 (step @p78 :rule nary_cong :premises (@p35 @p77 @p74) :args (@t57)) % 0.38/0.57 (step @p79 :rule refl :args (@t58)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args ((=> @t58 @t57))) % 0.38/0.57 (assume-push @p138 @t58) % 0.38/0.57 (step @p82 :rule instantiate :premises (@p73) :args ((@list @t30))) % 0.38/0.57 (step-pop @p139 :rule scope :premises (@p82)) % 0.38/0.57 (step @p83 :rule process_scope :premises (@p139) :args (@t57)) % 0.38/0.57 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 0.38/0.57 (step @p86 :rule implies_elim :premises (@p85)) % 0.38/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p73) :args (@t60 @t61 (@list @t58))) % 0.38/0.57 (step @p88 :rule cnf_or_pos :args (@t60)) % 0.38/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t37 @t50 @t59 (not @t60)))) % 0.38/0.57 (step @p90 :rule and_elim :premises (@p21) :args (0)) % 0.38/0.57 (step @p91 :rule symm :premises (@p90)) % 0.38/0.57 (assume-push @p140 @t62) % 0.38/0.57 (assume-push @p141 @t59) % 0.38/0.57 (assume-push @p142 @t59) % 0.38/0.57 (assume-push @p143 @t62) % 0.38/0.57 (step @p96 :rule cong :premises (@p141) :args (@t24)) % 0.38/0.57 (step @p97 :rule trans :premises (@p91 @p96)) % 0.38/0.57 (step-pop @p144 :rule scope :premises (@p97)) % 0.38/0.57 (step-pop @p145 :rule scope :premises (@p144)) % 0.38/0.57 (step @p98 :rule process_scope :premises (@p145) :args (@t34)) % 0.38/0.57 (step @p101 :rule and_intro :premises (@p141 @p91)) % 0.38/0.57 (step @p102 :rule modus_ponens :premises (@p101 @p98)) % 0.38/0.57 (step-pop @p146 :rule scope :premises (@p102)) % 0.38/0.57 (step-pop @p147 :rule scope :premises (@p146)) % 0.38/0.57 (step @p103 :rule process_scope :premises (@p147) :args (@t34)) % 0.38/0.57 (step @p106 :rule implies_elim :premises (@p103)) % 0.38/0.57 (step @p107 :rule cnf_and_neg :args (@t63)) % 0.38/0.57 (step @p108 :rule resolution :premises (@p107 @p106) :args (true @t63)) % 0.38/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or (not @t62) @t34 @t64))) % 0.38/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p91 @p89 @p87 @p60 @p53 @p51 @p49) :args (@t34 (@list false false false false true false true) (@list @t62 @t59 @t60 @t36 @t50 @t32 @t35))) % 0.38/0.57 (step @p111 :rule cnf_equiv_neg2 :args (@t35)) % 0.38/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p49 @p110) :args (@t48 (@list true false) (@list @t35 @t34))) % 0.38/0.57 (step @p113 :rule cnf_and_pos :args (@t50 0)) % 0.38/0.57 (step @p114 :rule reordering :premises (@p113) :args ((or @t49 @t51))) % 0.38/0.57 (step @p115 :rule chain_m_resolution :premises (@p114 @p110) :args (@t51 @t61 (@list @t34))) % 0.38/0.57 (step @p116 :rule chain_m_resolution :premises (@p89 @p60 @p115 @p87) :args (@t59 @t65 (@list @t36 @t50 @t60))) % 0.38/0.57 (assume-push @p148 @t66) % 0.38/0.57 (assume-push @p149 @t59) % 0.38/0.57 (assume-push @p150 @t59) % 0.38/0.57 (assume-push @p151 @t66) % 0.38/0.57 (step @p121 :rule cong :premises (@p149) :args (@t23)) % 0.38/0.57 (step @p122 :rule trans :premises (@p24 @p121)) % 0.38/0.57 (step-pop @p152 :rule scope :premises (@p122)) % 0.38/0.57 (step-pop @p153 :rule scope :premises (@p152)) % 0.38/0.57 (step @p123 :rule process_scope :premises (@p153) :args (@t32)) % 0.38/0.57 (step @p126 :rule and_intro :premises (@p149 @p24)) % 0.38/0.57 (step @p127 :rule modus_ponens :premises (@p126 @p123)) % 0.38/0.57 (step-pop @p154 :rule scope :premises (@p127)) % 0.38/0.57 (step-pop @p155 :rule scope :premises (@p154)) % 0.38/0.57 (step @p128 :rule process_scope :premises (@p155) :args (@t32)) % 0.38/0.57 (step @p131 :rule implies_elim :premises (@p128)) % 0.38/0.57 (step @p132 :rule cnf_and_neg :args (@t67)) % 0.38/0.57 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t67)) % 0.38/0.57 (step @p134 :rule reordering :premises (@p133) :args ((or (not @t66) @t32 @t64))) % 0.38/0.57 (step @p135 false :rule chain_m_resolution :premises (@p134 @p116 @p112 @p24) :args (false @t65 (@list @t59 @t32 @t66))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------