%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR149^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:13:08 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 : CSR149^1 : TPTP v9.2.1. Released v4.1.0. % 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 : n025.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 : Mon Jun 1 21:59:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----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 $$unsorted 0) % 0.38/0.56 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.38/0.56 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.38/0.56 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.38/0.56 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.38/0.56 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t5 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) @t4)) % 0.38/0.56 (define @t6 () (_ @t1 @t4)) % 0.38/0.56 (define @t7 () (@list @t4)) % 0.38/0.56 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.38/0.56 (define @t9 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.56 (define @t10 () (_ tptp.holdsDuring_THFTYPE_IiooI @t9)) % 0.38/0.56 (define @t11 () (_ tptp.lYearFn_THFTYPE_IiiI @t3)) % 0.38/0.56 (define @t12 () (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t11) @t5)) % 0.38/0.56 (define @t13 () (@list @t4 @t3)) % 0.38/0.56 (define @t14 () (exists @t13 @t12)) % 0.38/0.56 (define @t15 () (not @t14)) % 0.38/0.56 (define @t16 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t4)) % 0.38/0.56 (define @t17 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t4)) % 0.38/0.56 (define @t18 () (forall @t7 (or (not @t17) @t16))) % 0.38/0.56 (define @t19 () (@purify @t18)) % 0.38/0.56 (define @t20 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.38/0.56 (define @t21 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t19)) % 0.38/0.56 (define @t22 () (not @t6)) % 0.38/0.56 (define @t23 () (or @t22 @t5)) % 0.38/0.56 (define @t24 () (not @t18)) % 0.38/0.56 (define @t25 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t26 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (or @t27 @t25)) % 0.38/0.56 (define @t29 () (@purify @t25)) % 0.38/0.56 (define @t30 () (tptp.lYearFn_THFTYPE_IiiI @t3)) % 0.38/0.56 (define @t31 () (tptp.holdsDuring_THFTYPE_IiooI @t30 @t16)) % 0.38/0.56 (define @t32 () (forall @t13 (not @t31))) % 0.38/0.56 (define @t33 () (not @t12)) % 0.38/0.56 (define @t34 () (forall @t13 @t33)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t25)) % 0.38/0.56 (define @t37 () (not @t36)) % 0.38/0.56 (define @t38 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t29)) % 0.38/0.56 (define @t39 () (not @t38)) % 0.38/0.56 (define @t40 () (@list false)) % 0.38/0.56 (define @t41 () (@list @t32)) % 0.38/0.56 (define @t42 () (not @t29)) % 0.38/0.56 (define @t43 () (not @t21)) % 0.38/0.56 (define @t44 () (not @t19)) % 0.38/0.56 (define @t45 () (= false true)) % 0.38/0.56 (define @t46 () (and @t21 @t19 @t29 @t39)) % 0.38/0.56 (define @t47 () (@list true)) % 0.38/0.56 (define @t48 () (@list @t18)) % 0.38/0.56 (define @t49 () (@quantifiers_skolemize @t18 0)) % 0.38/0.56 (define @t50 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t49)) % 0.38/0.56 (define @t51 () (@purify @t50)) % 0.38/0.56 (define @t52 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t50)) % 0.38/0.56 (define @t53 () (not @t52)) % 0.38/0.56 (define @t54 () (tptp.holdsDuring_THFTYPE_IiooI @t20 @t51)) % 0.38/0.56 (define @t55 () (not @t54)) % 0.38/0.56 (define @t56 () (or (not (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t49)) @t50)) % 0.38/0.56 (define @t57 () (not @t56)) % 0.38/0.56 (define @t58 () (not @t51)) % 0.38/0.56 (define @t59 () (and @t21 @t44 @t58 @t55)) % 0.38/0.56 (assume @p1 @t2) % 0.38/0.56 (assume @p2 (forall (@list @t3) (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t3) true))) % 0.38/0.56 (assume @p3 (_ @t10 @t8)) % 0.38/0.56 (assume @p4 @t15) % 0.38/0.56 (assume @p5 true) % 0.38/0.56 (step @p6 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t9 @t19))) % 0.38/0.56 (step @p7 :rule refl :args (@t19)) % 0.38/0.56 (step @p8 :rule refl :args (@t20)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t21)) % 0.38/0.56 (step @p10 :rule trans :premises (@p9 @p6)) % 0.38/0.56 (step @p11 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.56 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.38/0.56 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t20) @t19) @t21))) % 0.38/0.56 (step @p15 :rule symm :premises (@p14)) % 0.38/0.56 (step @p16 :rule refl :args ((_ @t10 @t19))) % 0.38/0.56 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.38/0.56 (step @p18 :rule eq-refl :args (@t18)) % 0.38/0.56 (step @p19 :rule skolem_intro :args (@t19)) % 0.38/0.56 (step @p20 :rule refl :args (@t18)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t18 @t19))) % 0.38/0.56 (step @p22 :rule trans :premises (@p21 @p18)) % 0.38/0.56 (step @p23 :rule true_elim :premises (@p22)) % 0.38/0.56 (step @p24 :rule refl :args (@t9)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p8) :args ((= @t9 @t20))) % 0.38/0.56 (step @p26 :rule symm :premises (@p25)) % 0.38/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.56 (step @p28 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.38/0.56 (step @p29 :rule ho_cong :premises (@p28 @p27)) % 0.38/0.56 (step @p30 :rule ho_cong :premises (@p29 @p23)) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p17)) % 0.38/0.56 (step @p32 :rule refl :args (@t16)) % 0.38/0.56 (step @p33 :rule refl :args (@t5)) % 0.38/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t5 @t16))) % 0.38/0.56 (step @p35 :rule symm :premises (@p34)) % 0.38/0.56 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.38/0.56 (step @p37 :rule refl :args (@t17)) % 0.38/0.56 (step @p38 :rule refl :args (@t6)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t6 @t17))) % 0.38/0.56 (step @p40 :rule symm :premises (@p39)) % 0.38/0.56 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.56 (step @p42 :rule cong :premises (@p41) :args (@t22)) % 0.38/0.56 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t23)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args ((forall @t7 @t23))) % 0.38/0.56 (step @p45 :rule bool-impl-elim :args (@t6 @t5)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45) :args (@t8)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p44)) % 0.38/0.56 (step @p48 :rule refl :args (@t10)) % 0.38/0.56 (step @p49 :rule ho_cong :premises (@p48 @p47)) % 0.38/0.56 (step @p50 :rule trans :premises (@p49 @p31)) % 0.38/0.56 (step @p51 :rule eq_resolve :premises (@p3 @p50)) % 0.38/0.56 (step @p52 :rule equiv_elim1 :premises (@p23)) % 0.38/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t19 @t24))) % 0.38/0.56 (assume-push @p219 @t18) % 0.38/0.56 (step @p55 :rule instantiate :premises (@p219) :args ((@list tptp.lBill_THFTYPE_i))) % 0.38/0.56 (step-pop @p220 :rule scope :premises (@p55)) % 0.38/0.56 (step @p56 :rule process_scope :premises (@p220) :args (@t28)) % 0.38/0.56 (step @p58 :rule implies_elim :premises (@p56)) % 0.38/0.56 (step @p59 :rule refl :args (@t26)) % 0.38/0.56 (step @p60 :rule refl :args (@t2)) % 0.38/0.56 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t2 @t26))) % 0.38/0.56 (step @p62 :rule symm :premises (@p61)) % 0.38/0.56 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.38/0.56 (step @p64 :rule eq_resolve :premises (@p1 @p63)) % 0.38/0.56 (step @p65 :rule cnf_or_pos :args (@t28)) % 0.38/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t27 @t25 (not @t28)))) % 0.38/0.56 (step @p67 :rule skolem_intro :args (@t29)) % 0.38/0.56 (step @p68 :rule symm :premises (@p67)) % 0.38/0.56 (step @p69 :rule equiv_elim1 :premises (@p68)) % 0.38/0.56 (step @p70 :rule bool-double-not-elim :args (@t32)) % 0.38/0.56 (step @p71 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t11 @t5))) % 0.38/0.56 (step @p72 :rule refl :args (@t30)) % 0.38/0.56 (step @p73 :rule cong :premises (@p72 @p32) :args (@t31)) % 0.38/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.38/0.56 (step @p75 :rule ho_cong :premises (@p11 @p72)) % 0.38/0.56 (step @p76 :rule ho_cong :premises (@p75 @p32)) % 0.38/0.56 (step @p77 :rule cong :premises (@p76 @p74) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t30) @t16) @t31))) % 0.38/0.56 (step @p78 :rule symm :premises (@p77)) % 0.38/0.56 (step @p79 :rule refl :args (@t12)) % 0.38/0.56 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.38/0.56 (step @p81 :rule refl :args (@t11)) % 0.38/0.56 (step @p82 :rule cong :premises (@p81 @p72) :args ((= @t11 @t30))) % 0.38/0.56 (step @p83 :rule symm :premises (@p82)) % 0.38/0.56 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 0.38/0.56 (step @p85 :rule ho_cong :premises (@p11 @p84)) % 0.38/0.56 (step @p86 :rule ho_cong :premises (@p85 @p36)) % 0.38/0.56 (step @p87 :rule trans :premises (@p86 @p80)) % 0.38/0.56 (step @p88 :rule cong :premises (@p87) :args (@t33)) % 0.38/0.56 (step @p89 :rule cong :premises (@p88) :args (@t34)) % 0.38/0.56 (step @p90 :rule cong :premises (@p89) :args (@t35)) % 0.38/0.56 (step @p91 :rule exists-elim :args ((= @t14 @t35))) % 0.38/0.56 (step @p92 :rule trans :premises (@p91 @p90)) % 0.38/0.56 (step @p93 :rule cong :premises (@p92) :args (@t15)) % 0.38/0.56 (step @p94 :rule trans :premises (@p93 @p70)) % 0.38/0.56 (step @p95 :rule eq_resolve :premises (@p4 @p94)) % 0.38/0.56 (step @p96 :rule refl :args (@t20)) % 0.38/0.56 (step @p97 :rule cong :premises (@p96 @p68) :args (@t36)) % 0.38/0.56 (step @p98 :rule cong :premises (@p97) :args (@t37)) % 0.38/0.56 (step @p99 :rule refl :args (@t32)) % 0.38/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args ((=> @t32 @t37))) % 0.38/0.56 (assume-push @p221 @t32) % 0.38/0.56 (step @p102 :rule instantiate :premises (@p95) :args ((@list tptp.lBill_THFTYPE_i tptp.n2009_THFTYPE_i))) % 0.38/0.56 (step-pop @p222 :rule scope :premises (@p102)) % 0.38/0.56 (step @p103 :rule process_scope :premises (@p222) :args (@t37)) % 0.38/0.56 (step @p105 :rule eq_resolve :premises (@p103 @p100)) % 0.38/0.56 (step @p106 :rule implies_elim :premises (@p105)) % 0.38/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p95) :args (@t39 @t40 @t41)) % 0.38/0.56 (step @p108 :rule bool-double-not-elim :args (@t38)) % 0.38/0.56 (step @p109 :rule refl :args (@t42)) % 0.38/0.56 (step @p110 :rule refl :args (@t43)) % 0.38/0.56 (step @p111 :rule refl :args (@t44)) % 0.38/0.56 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108) :args ((or @t44 @t43 @t42 (not @t39)))) % 0.38/0.56 (assume-push @p223 @t21) % 0.38/0.56 (assume-push @p224 @t19) % 0.38/0.56 (assume-push @p225 @t29) % 0.38/0.56 (assume-push @p226 @t39) % 0.38/0.56 (step @p117 :rule evaluate :args (@t45)) % 0.38/0.56 (step @p118 :rule true_intro :premises (@p51)) % 0.38/0.56 (step @p119 :rule true_intro :premises (@p224)) % 0.38/0.56 (step @p120 :rule symm :premises (@p119)) % 0.38/0.56 (step @p121 :rule true_intro :premises (@p225)) % 0.38/0.56 (step @p122 :rule trans :premises (@p121 @p120)) % 0.38/0.56 (step @p123 :rule cong :premises (@p96 @p122) :args (@t38)) % 0.38/0.56 (step @p124 :rule false_intro :premises (@p107)) % 0.38/0.56 (step @p125 :rule symm :premises (@p124)) % 0.38/0.56 (step @p126 :rule trans :premises (@p125 @p123 @p118)) % 0.38/0.56 (step @p127 false :rule eq_resolve :premises (@p126 @p117)) % 0.38/0.56 (step-pop @p227 :rule scope :premises (@p127)) % 0.38/0.56 (step-pop @p228 :rule scope :premises (@p227)) % 0.38/0.56 (step-pop @p229 :rule scope :premises (@p228)) % 0.38/0.56 (step-pop @p230 :rule scope :premises (@p229)) % 0.38/0.56 (step @p128 :rule process_scope :premises (@p230) :args (false)) % 0.38/0.56 (assume-push @p231 @t19) % 0.38/0.56 (assume-push @p232 @t21) % 0.38/0.56 (assume-push @p233 @t29) % 0.38/0.56 (assume-push @p234 @t39) % 0.38/0.56 (step @p137 :rule and_intro :premises (@p51 @p231 @p233 @p107)) % 0.38/0.56 (step-pop @p235 :rule scope :premises (@p137)) % 0.38/0.56 (step-pop @p236 :rule scope :premises (@p235)) % 0.38/0.56 (step-pop @p237 :rule scope :premises (@p236)) % 0.38/0.56 (step-pop @p238 :rule scope :premises (@p237)) % 0.38/0.56 (step @p138 :rule process_scope :premises (@p238) :args (@t46)) % 0.38/0.56 (step @p143 :rule implies_elim :premises (@p138)) % 0.38/0.56 (step @p144 :rule resolution :premises (@p143 @p128) :args (true @t46)) % 0.38/0.56 (step @p145 :rule not_and :premises (@p144)) % 0.38/0.56 (step @p146 :rule eq_resolve :premises (@p145 @p112)) % 0.38/0.56 (step @p147 :rule reordering :premises (@p146) :args ((or @t43 @t44 @t38 @t42))) % 0.38/0.56 (step @p148 :rule chain_m_resolution :premises (@p147 @p107 @p51 @p69 @p66 @p64 @p58 @p53) :args (@t24 (@list true false false false false false false) (@list @t38 @t21 @t29 @t25 @t26 @t28 @t19))) % 0.38/0.56 (step @p149 :rule equiv_elim2 :premises (@p23)) % 0.38/0.56 (step @p150 :rule chain_m_resolution :premises (@p149 @p148) :args (@t44 @t47 @t48)) % 0.38/0.56 (step @p151 :rule eq-refl :args (@t50)) % 0.38/0.56 (step @p152 :rule skolem_intro :args (@t51)) % 0.38/0.56 (step @p153 :rule refl :args (@t50)) % 0.38/0.56 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t50 @t51))) % 0.38/0.56 (step @p155 :rule trans :premises (@p154 @p151)) % 0.38/0.56 (step @p156 :rule true_elim :premises (@p155)) % 0.38/0.56 (step @p157 :rule cong :premises (@p96 @p156) :args (@t52)) % 0.38/0.56 (step @p158 :rule cong :premises (@p157) :args (@t53)) % 0.38/0.56 (step @p159 :rule cong :premises (@p99 @p158) :args ((=> @t32 @t53))) % 0.38/0.56 (assume-push @p239 @t32) % 0.38/0.56 (step @p161 :rule instantiate :premises (@p95) :args ((@list @t49 tptp.n2009_THFTYPE_i))) % 0.38/0.56 (step-pop @p240 :rule scope :premises (@p161)) % 0.38/0.56 (step @p162 :rule process_scope :premises (@p240) :args (@t53)) % 0.38/0.56 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 0.38/0.56 (step @p165 :rule implies_elim :premises (@p164)) % 0.38/0.56 (step @p166 :rule chain_m_resolution :premises (@p165 @p95) :args (@t55 @t40 @t41)) % 0.38/0.56 (step @p167 :rule refl :args (@t57)) % 0.38/0.56 (step @p168 :rule bool-double-not-elim :args (@t18)) % 0.38/0.56 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or (not @t24) @t57))) % 0.38/0.56 (assume-push @p241 @t24) % 0.38/0.56 (step @p171 :rule skolemize :premises (@p241)) % 0.38/0.56 (step-pop @p242 :rule scope :premises (@p171)) % 0.38/0.56 (step @p172 :rule process_scope :premises (@p242) :args (@t57)) % 0.38/0.56 (step @p174 :rule implies_elim :premises (@p172)) % 0.38/0.56 (step @p175 :rule eq_resolve :premises (@p174 @p169)) % 0.38/0.56 (step @p176 :rule chain_m_resolution :premises (@p175 @p148) :args (@t57 @t47 @t48)) % 0.38/0.56 (step @p177 :rule cnf_or_neg :args (@t56 1)) % 0.38/0.56 (step @p178 :rule chain_m_resolution :premises (@p177 @p176) :args ((not @t50) @t47 (@list @t56))) % 0.38/0.56 (step @p179 :rule equiv_elim2 :premises (@p156)) % 0.38/0.56 (step @p180 :rule chain_m_resolution :premises (@p179 @p178) :args (@t58 @t47 (@list @t50))) % 0.38/0.56 (step @p181 :rule bool-double-not-elim :args (@t51)) % 0.38/0.56 (step @p182 :rule bool-double-not-elim :args (@t54)) % 0.38/0.56 (step @p183 :rule bool-double-not-elim :args (@t19)) % 0.38/0.56 (step @p184 :rule nary_cong :premises (@p110 @p183 @p182 @p181) :args ((or @t43 (not @t44) (not @t55) (not @t58)))) % 0.38/0.56 (assume-push @p243 @t21) % 0.38/0.56 (assume-push @p244 @t44) % 0.38/0.56 (assume-push @p245 @t58) % 0.38/0.56 (assume-push @p246 @t55) % 0.38/0.56 (step @p117 :rule evaluate :args (@t45)) % 0.38/0.56 (step @p118 :rule true_intro :premises (@p51)) % 0.38/0.56 (step @p189 :rule false_intro :premises (@p244)) % 0.38/0.56 (step @p190 :rule symm :premises (@p189)) % 0.38/0.56 (step @p191 :rule false_intro :premises (@p245)) % 0.38/0.56 (step @p192 :rule trans :premises (@p191 @p190)) % 0.38/0.56 (step @p193 :rule cong :premises (@p96 @p192) :args (@t54)) % 0.38/0.56 (step @p194 :rule false_intro :premises (@p166)) % 0.38/0.56 (step @p195 :rule symm :premises (@p194)) % 0.38/0.56 (step @p196 :rule trans :premises (@p195 @p193 @p118)) % 0.38/0.56 (step @p197 false :rule eq_resolve :premises (@p196 @p117)) % 0.38/0.56 (step-pop @p247 :rule scope :premises (@p197)) % 0.38/0.56 (step-pop @p248 :rule scope :premises (@p247)) % 0.38/0.56 (step-pop @p249 :rule scope :premises (@p248)) % 0.38/0.56 (step-pop @p250 :rule scope :premises (@p249)) % 0.38/0.56 (step @p198 :rule process_scope :premises (@p250) :args (false)) % 0.38/0.56 (assume-push @p251 @t21) % 0.38/0.56 (assume-push @p252 @t44) % 0.38/0.56 (assume-push @p253 @t55) % 0.38/0.56 (assume-push @p254 @t58) % 0.38/0.56 (step @p207 :rule and_intro :premises (@p51 @p252 @p254 @p166)) % 0.38/0.56 (step-pop @p255 :rule scope :premises (@p207)) % 0.38/0.56 (step-pop @p256 :rule scope :premises (@p255)) % 0.38/0.56 (step-pop @p257 :rule scope :premises (@p256)) % 0.38/0.56 (step-pop @p258 :rule scope :premises (@p257)) % 0.38/0.56 (step @p208 :rule process_scope :premises (@p258) :args (@t59)) % 0.38/0.56 (step @p213 :rule implies_elim :premises (@p208)) % 0.38/0.56 (step @p214 :rule resolution :premises (@p213 @p198) :args (true @t59)) % 0.38/0.56 (step @p215 :rule not_and :premises (@p214)) % 0.38/0.56 (step @p216 :rule eq_resolve :premises (@p215 @p184)) % 0.38/0.56 (step @p217 :rule reordering :premises (@p216) :args ((or @t19 @t43 @t51 @t54))) % 0.38/0.56 (step @p218 false :rule chain_m_resolution :premises (@p217 @p180 @p166 @p150 @p51) :args (false (@list true true true false) (@list @t51 @t54 @t19 @t21))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------