%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR126^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:13:01 AM UTC 2026 % Result : Theorem 0.30s 0.57s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR126^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Mon Jun 1 21:57:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.30/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.57 % SZS status Theorem % 0.30/0.57 % SZS output start Proof % 0.30/0.57 ( % 0.30/0.57 (declare-sort $$unsorted 0) % 0.30/0.57 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.30/0.57 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.30/0.57 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.30/0.57 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.30/0.57 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.30/0.57 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.30/0.57 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.30/0.57 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.30/0.57 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.30/0.57 (define @t3 () (@var "T" $$unsorted)) % 0.30/0.57 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.30/0.57 (define @t5 () (_ @t4 @t2)) % 0.30/0.57 (define @t6 () (@list @t3)) % 0.30/0.57 (define @t7 () (forall @t6 @t5)) % 0.30/0.57 (define @t8 () (@var "X" $$unsorted)) % 0.30/0.57 (define @t9 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.30/0.57 (define @t10 () (_ @t9 @t8)) % 0.30/0.57 (define @t11 () (_ @t1 @t8)) % 0.30/0.57 (define @t12 () (=> @t11 @t10)) % 0.30/0.57 (define @t13 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.30/0.57 (define @t14 () (_ tptp.holdsDuring_THFTYPE_IiooI @t13)) % 0.30/0.57 (define @t15 () (_ @t14 @t12)) % 0.30/0.57 (define @t16 () (@list @t8)) % 0.30/0.57 (define @t17 () (forall @t16 @t15)) % 0.30/0.57 (define @t18 () (_ @t9 tptp.lBill_THFTYPE_i)) % 0.30/0.57 (define @t19 () (not (_ @t14 @t18))) % 0.30/0.57 (define @t20 () (@purify @t18)) % 0.30/0.57 (define @t21 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.30/0.57 (define @t22 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t20)) % 0.30/0.57 (define @t23 () (_ tptp.holdsDuring_THFTYPE_IiooI @t21)) % 0.30/0.57 (define @t24 () (= @t18 @t20)) % 0.30/0.57 (define @t25 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t8)) % 0.30/0.57 (define @t26 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t8)) % 0.30/0.57 (define @t27 () (=> @t26 @t25)) % 0.30/0.57 (define @t28 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t27)) % 0.30/0.57 (define @t29 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.30/0.57 (define @t30 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.30/0.57 (define @t31 () (=> @t30 @t29)) % 0.30/0.57 (define @t32 () (@purify @t31)) % 0.30/0.57 (define @t33 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t31)) % 0.30/0.57 (define @t34 () (forall @t16 @t28)) % 0.30/0.57 (define @t35 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t32)) % 0.30/0.57 (define @t36 () (@list false)) % 0.30/0.57 (define @t37 () (not @t20)) % 0.30/0.57 (define @t38 () (not @t29)) % 0.30/0.57 (define @t39 () (not @t31)) % 0.30/0.57 (define @t40 () (not @t35)) % 0.30/0.57 (define @t41 () (not @t32)) % 0.30/0.57 (define @t42 () (not @t22)) % 0.30/0.57 (define @t43 () (not @t42)) % 0.30/0.57 (define @t44 () (= true false)) % 0.30/0.57 (define @t45 () (and @t42 @t20 @t32 @t35)) % 0.30/0.57 (define @t46 () (tptp.holdsDuring_THFTYPE_IiooI @t3 @t30)) % 0.30/0.57 (define @t47 () (@purify @t30)) % 0.30/0.57 (define @t48 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t30)) % 0.30/0.57 (define @t49 () (forall @t6 @t46)) % 0.30/0.57 (define @t50 () (tptp.holdsDuring_THFTYPE_IiooI @t21 @t47)) % 0.30/0.57 (define @t51 () (not @t50)) % 0.30/0.57 (define @t52 () (not @t47)) % 0.30/0.57 (define @t53 () (not @t37)) % 0.30/0.57 (define @t54 () (and @t42 @t37 @t52 @t50)) % 0.30/0.57 (define @t55 () (@list true)) % 0.30/0.57 (define @t56 () (and @t42 @t37 @t41 @t35)) % 0.30/0.57 (assume @p1 @t7) % 0.30/0.57 (assume @p2 @t17) % 0.30/0.57 (assume @p3 @t19) % 0.30/0.57 (assume @p4 true) % 0.30/0.57 (step @p5 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t13 @t20))) % 0.30/0.57 (step @p6 :rule refl :args (@t20)) % 0.30/0.57 (step @p7 :rule refl :args (@t21)) % 0.30/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args (@t22)) % 0.30/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.30/0.57 (step @p10 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.30/0.57 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.30/0.57 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.30/0.57 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ @t23 @t20) @t22))) % 0.30/0.57 (step @p14 :rule symm :premises (@p13)) % 0.30/0.57 (step @p15 :rule refl :args ((_ @t14 @t20))) % 0.30/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.30/0.57 (step @p17 :rule eq-refl :args (@t18)) % 0.30/0.57 (step @p18 :rule skolem_intro :args (@t20)) % 0.30/0.57 (step @p19 :rule refl :args (@t18)) % 0.30/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args (@t24)) % 0.30/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.30/0.57 (step @p22 :rule true_elim :premises (@p21)) % 0.30/0.57 (step @p23 :rule refl :args (@t13)) % 0.30/0.57 (step @p24 :rule cong :premises (@p23 @p7) :args ((= @t13 @t21))) % 0.30/0.57 (step @p25 :rule symm :premises (@p24)) % 0.30/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.30/0.57 (step @p27 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.30/0.57 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.30/0.57 (step @p29 :rule ho_cong :premises (@p28 @p22)) % 0.30/0.57 (step @p30 :rule trans :premises (@p29 @p16)) % 0.30/0.57 (step @p31 :rule cong :premises (@p30) :args (@t19)) % 0.30/0.57 (step @p32 :rule eq_resolve :premises (@p3 @p31)) % 0.30/0.57 (step @p33 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t13 @t12))) % 0.30/0.57 (step @p34 :rule refl :args (@t25)) % 0.30/0.57 (step @p35 :rule refl :args (@t26)) % 0.30/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t27)) % 0.30/0.57 (step @p37 :rule cong :premises (@p7 @p36) :args (@t28)) % 0.30/0.57 (step @p38 :rule trans :premises (@p37 @p33)) % 0.30/0.57 (step @p39 :rule ho_cong :premises (@p11 @p36)) % 0.30/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((= (_ @t23 @t27) @t28))) % 0.30/0.57 (step @p41 :rule symm :premises (@p40)) % 0.30/0.57 (step @p42 :rule refl :args (@t15)) % 0.30/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.30/0.57 (step @p44 :rule refl :args (@t10)) % 0.30/0.57 (step @p45 :rule cong :premises (@p44 @p34) :args ((= @t10 @t25))) % 0.30/0.57 (step @p46 :rule symm :premises (@p45)) % 0.30/0.57 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.30/0.57 (step @p48 :rule refl :args (@t11)) % 0.30/0.57 (step @p49 :rule cong :premises (@p48 @p35) :args ((= @t11 @t26))) % 0.30/0.57 (step @p50 :rule symm :premises (@p49)) % 0.30/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.30/0.57 (step @p52 :rule cong :premises (@p51 @p47) :args (@t12)) % 0.30/0.57 (step @p53 :rule eq_resolve :premises (@p23 @p25)) % 0.30/0.57 (step @p54 :rule ho_cong :premises (@p10 @p53)) % 0.30/0.57 (step @p55 :rule ho_cong :premises (@p54 @p52)) % 0.30/0.57 (step @p56 :rule trans :premises (@p55 @p43)) % 0.30/0.57 (step @p57 :rule cong :premises (@p56) :args (@t17)) % 0.30/0.57 (step @p58 :rule eq_resolve :premises (@p2 @p57)) % 0.30/0.57 (step @p59 :rule eq-refl :args (@t31)) % 0.30/0.57 (step @p60 :rule skolem_intro :args (@t32)) % 0.30/0.57 (step @p61 :rule refl :args (@t31)) % 0.30/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t31 @t32))) % 0.30/0.57 (step @p63 :rule trans :premises (@p62 @p59)) % 0.30/0.57 (step @p64 :rule true_elim :premises (@p63)) % 0.30/0.57 (step @p65 :rule refl :args (@t21)) % 0.30/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args (@t33)) % 0.30/0.57 (step @p67 :rule refl :args (@t34)) % 0.30/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t34 @t33))) % 0.30/0.57 (assume-push @p251 @t34) % 0.30/0.57 (step @p70 :rule instantiate :premises (@p58) :args ((@list tptp.lBill_THFTYPE_i))) % 0.30/0.57 (step-pop @p252 :rule scope :premises (@p70)) % 0.30/0.57 (step @p71 :rule process_scope :premises (@p252) :args (@t33)) % 0.30/0.57 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.30/0.57 (step @p74 :rule implies_elim :premises (@p73)) % 0.30/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p58) :args (@t35 @t36 (@list @t34))) % 0.30/0.57 (step @p76 :rule eq-symm :args (@t29 @t20)) % 0.30/0.57 (step @p77 :rule refl :args (@t20)) % 0.30/0.57 (step @p78 :rule refl :args (@t29)) % 0.30/0.57 (step @p79 :rule refl :args (@t18)) % 0.30/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t18 @t29))) % 0.30/0.57 (step @p81 :rule symm :premises (@p80)) % 0.30/0.57 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.30/0.57 (step @p83 :rule cong :premises (@p82 @p77) :args (@t24)) % 0.30/0.57 (step @p84 :rule trans :premises (@p83 @p76)) % 0.30/0.57 (step @p85 :rule eq-symm :args (@t20 @t18)) % 0.30/0.57 (step @p86 :rule trans :premises (@p85 @p84)) % 0.30/0.57 (step @p87 :rule eq_resolve :premises (@p18 @p86)) % 0.30/0.57 (step @p88 :rule equiv_elim1 :premises (@p87)) % 0.30/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t29 @t37))) % 0.30/0.57 (step @p90 :rule cnf_implies_neg2 :args (@t31)) % 0.30/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t38 @t31))) % 0.30/0.57 (step @p92 :rule equiv_elim1 :premises (@p64)) % 0.30/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t32 @t39))) % 0.30/0.57 (step @p94 :rule refl :args (@t40)) % 0.30/0.57 (step @p95 :rule refl :args (@t41)) % 0.30/0.57 (step @p96 :rule bool-double-not-elim :args (@t22)) % 0.30/0.57 (step @p97 :rule refl :args (@t37)) % 0.30/0.57 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94) :args ((or @t37 @t43 @t41 @t40))) % 0.30/0.57 (assume-push @p253 @t42) % 0.30/0.57 (assume-push @p254 @t20) % 0.30/0.57 (assume-push @p255 @t32) % 0.30/0.57 (assume-push @p256 @t35) % 0.30/0.57 (step @p103 :rule evaluate :args (@t44)) % 0.30/0.57 (step @p104 :rule false_intro :premises (@p32)) % 0.30/0.57 (step @p105 :rule true_intro :premises (@p254)) % 0.30/0.57 (step @p106 :rule symm :premises (@p105)) % 0.30/0.57 (step @p107 :rule true_intro :premises (@p255)) % 0.30/0.57 (step @p108 :rule trans :premises (@p107 @p106)) % 0.30/0.57 (step @p109 :rule cong :premises (@p65 @p108) :args (@t35)) % 0.30/0.57 (step @p110 :rule true_intro :premises (@p75)) % 0.30/0.57 (step @p111 :rule symm :premises (@p110)) % 0.30/0.57 (step @p112 :rule trans :premises (@p111 @p109 @p104)) % 0.30/0.57 (step @p113 false :rule eq_resolve :premises (@p112 @p103)) % 0.30/0.57 (step-pop @p257 :rule scope :premises (@p113)) % 0.30/0.57 (step-pop @p258 :rule scope :premises (@p257)) % 0.30/0.57 (step-pop @p259 :rule scope :premises (@p258)) % 0.30/0.57 (step-pop @p260 :rule scope :premises (@p259)) % 0.30/0.57 (step @p114 :rule process_scope :premises (@p260) :args (false)) % 0.30/0.57 (assume-push @p261 @t20) % 0.30/0.57 (assume-push @p262 @t42) % 0.30/0.57 (assume-push @p263 @t32) % 0.30/0.57 (assume-push @p264 @t35) % 0.30/0.57 (step @p123 :rule and_intro :premises (@p32 @p261 @p263 @p75)) % 0.30/0.57 (step-pop @p265 :rule scope :premises (@p123)) % 0.30/0.57 (step-pop @p266 :rule scope :premises (@p265)) % 0.30/0.57 (step-pop @p267 :rule scope :premises (@p266)) % 0.30/0.57 (step-pop @p268 :rule scope :premises (@p267)) % 0.30/0.57 (step @p124 :rule process_scope :premises (@p268) :args (@t45)) % 0.30/0.57 (step @p129 :rule implies_elim :premises (@p124)) % 0.30/0.57 (step @p130 :rule resolution :premises (@p129 @p114) :args (true @t45)) % 0.30/0.57 (step @p131 :rule not_and :premises (@p130)) % 0.30/0.57 (step @p132 :rule eq_resolve :premises (@p131 @p98)) % 0.30/0.57 (step @p133 :rule reordering :premises (@p132) :args ((or @t22 @t37 @t40 @t41))) % 0.30/0.57 (step @p134 :rule chain_m_resolution :premises (@p133 @p75 @p32 @p93 @p91 @p89) :args (@t37 (@list false true false false false) (@list @t35 @t22 @t32 @t31 @t29))) % 0.30/0.57 (step @p135 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t2))) % 0.30/0.57 (step @p136 :rule refl :args (@t30)) % 0.30/0.57 (step @p137 :rule refl :args (@t3)) % 0.30/0.57 (step @p138 :rule cong :premises (@p137 @p136) :args (@t46)) % 0.30/0.57 (step @p139 :rule trans :premises (@p138 @p135)) % 0.30/0.57 (step @p140 :rule refl :args (@t4)) % 0.30/0.57 (step @p141 :rule ho_cong :premises (@p140 @p136)) % 0.30/0.57 (step @p142 :rule cong :premises (@p141 @p139) :args ((= (_ @t4 @t30) @t46))) % 0.30/0.57 (step @p143 :rule symm :premises (@p142)) % 0.30/0.57 (step @p144 :rule refl :args (@t5)) % 0.30/0.57 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.30/0.57 (step @p146 :rule refl :args (@t2)) % 0.30/0.57 (step @p147 :rule cong :premises (@p146 @p136) :args ((= @t2 @t30))) % 0.30/0.57 (step @p148 :rule symm :premises (@p147)) % 0.30/0.57 (step @p149 :rule eq_resolve :premises (@p146 @p148)) % 0.30/0.57 (step @p150 :rule ho_cong :premises (@p140 @p149)) % 0.30/0.57 (step @p151 :rule trans :premises (@p150 @p145)) % 0.30/0.57 (step @p152 :rule cong :premises (@p151) :args (@t7)) % 0.30/0.57 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 0.30/0.57 (step @p154 :rule eq-refl :args (@t30)) % 0.30/0.57 (step @p155 :rule skolem_intro :args (@t47)) % 0.30/0.57 (step @p156 :rule refl :args (@t30)) % 0.30/0.57 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t30 @t47))) % 0.30/0.57 (step @p158 :rule trans :premises (@p157 @p154)) % 0.30/0.57 (step @p159 :rule true_elim :premises (@p158)) % 0.30/0.57 (step @p160 :rule cong :premises (@p65 @p159) :args (@t48)) % 0.30/0.57 (step @p161 :rule refl :args (@t49)) % 0.30/0.57 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t49 @t48))) % 0.30/0.57 (assume-push @p269 @t49) % 0.30/0.57 (step @p164 :rule instantiate :premises (@p153) :args ((@list @t21))) % 0.30/0.57 (step-pop @p270 :rule scope :premises (@p164)) % 0.30/0.57 (step @p165 :rule process_scope :premises (@p270) :args (@t48)) % 0.30/0.57 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.30/0.57 (step @p168 :rule implies_elim :premises (@p167)) % 0.30/0.57 (step @p169 :rule chain_m_resolution :premises (@p168 @p153) :args (@t50 @t36 (@list @t49))) % 0.30/0.57 (step @p170 :rule bool-double-not-elim :args (@t47)) % 0.30/0.57 (step @p171 :rule refl :args (@t51)) % 0.30/0.57 (step @p172 :rule bool-double-not-elim :args (@t20)) % 0.30/0.57 (step @p173 :rule nary_cong :premises (@p96 @p172 @p171 @p170) :args ((or @t43 @t53 @t51 (not @t52)))) % 0.30/0.57 (assume-push @p271 @t42) % 0.30/0.57 (assume-push @p272 @t37) % 0.30/0.57 (assume-push @p273 @t52) % 0.30/0.57 (assume-push @p274 @t50) % 0.30/0.57 (step @p103 :rule evaluate :args (@t44)) % 0.30/0.57 (step @p104 :rule false_intro :premises (@p32)) % 0.30/0.57 (step @p178 :rule false_intro :premises (@p272)) % 0.30/0.57 (step @p179 :rule symm :premises (@p178)) % 0.30/0.57 (step @p180 :rule false_intro :premises (@p273)) % 0.30/0.57 (step @p181 :rule trans :premises (@p180 @p179)) % 0.30/0.57 (step @p182 :rule cong :premises (@p65 @p181) :args (@t50)) % 0.30/0.57 (step @p183 :rule true_intro :premises (@p169)) % 0.30/0.57 (step @p184 :rule symm :premises (@p183)) % 0.30/0.57 (step @p185 :rule trans :premises (@p184 @p182 @p104)) % 0.30/0.57 (step @p186 false :rule eq_resolve :premises (@p185 @p103)) % 0.30/0.57 (step-pop @p275 :rule scope :premises (@p186)) % 0.30/0.57 (step-pop @p276 :rule scope :premises (@p275)) % 0.30/0.57 (step-pop @p277 :rule scope :premises (@p276)) % 0.30/0.57 (step-pop @p278 :rule scope :premises (@p277)) % 0.30/0.57 (step @p187 :rule process_scope :premises (@p278) :args (false)) % 0.30/0.57 (assume-push @p279 @t42) % 0.30/0.57 (assume-push @p280 @t37) % 0.30/0.57 (assume-push @p281 @t50) % 0.30/0.57 (assume-push @p282 @t52) % 0.30/0.57 (step @p196 :rule and_intro :premises (@p32 @p280 @p282 @p169)) % 0.30/0.57 (step-pop @p283 :rule scope :premises (@p196)) % 0.30/0.57 (step-pop @p284 :rule scope :premises (@p283)) % 0.30/0.57 (step-pop @p285 :rule scope :premises (@p284)) % 0.30/0.57 (step-pop @p286 :rule scope :premises (@p285)) % 0.30/0.57 (step @p197 :rule process_scope :premises (@p286) :args (@t54)) % 0.30/0.57 (step @p202 :rule implies_elim :premises (@p197)) % 0.30/0.57 (step @p203 :rule resolution :premises (@p202 @p187) :args (true @t54)) % 0.30/0.57 (step @p204 :rule not_and :premises (@p203)) % 0.30/0.57 (step @p205 :rule eq_resolve :premises (@p204 @p173)) % 0.30/0.57 (step @p206 :rule reordering :premises (@p205) :args ((or @t20 @t22 @t47 @t51))) % 0.30/0.57 (step @p207 :rule chain_m_resolution :premises (@p206 @p134 @p32 @p169) :args (@t47 (@list true true false) (@list @t20 @t22 @t50))) % 0.30/0.57 (step @p208 :rule equiv_elim2 :premises (@p159)) % 0.30/0.57 (step @p209 :rule chain_m_resolution :premises (@p208 @p207) :args (@t30 @t36 (@list @t47))) % 0.30/0.57 (step @p210 :rule equiv_elim2 :premises (@p87)) % 0.30/0.57 (step @p211 :rule chain_m_resolution :premises (@p210 @p134) :args (@t38 @t55 (@list @t20))) % 0.30/0.57 (step @p212 :rule cnf_implies_pos :args (@t31)) % 0.30/0.57 (step @p213 :rule reordering :premises (@p212) :args ((or @t29 (not @t30) @t39))) % 0.30/0.57 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p209) :args (@t39 (@list true false) (@list @t29 @t30))) % 0.30/0.57 (step @p215 :rule equiv_elim2 :premises (@p64)) % 0.30/0.57 (step @p216 :rule chain_m_resolution :premises (@p215 @p214) :args (@t41 @t55 (@list @t31))) % 0.30/0.57 (step @p217 :rule bool-double-not-elim :args (@t32)) % 0.30/0.57 (step @p218 :rule nary_cong :premises (@p96 @p172 @p94 @p217) :args ((or @t43 @t53 @t40 (not @t41)))) % 0.30/0.57 (assume-push @p287 @t42) % 0.30/0.57 (assume-push @p288 @t37) % 0.30/0.57 (assume-push @p289 @t41) % 0.30/0.57 (assume-push @p290 @t35) % 0.30/0.57 (step @p103 :rule evaluate :args (@t44)) % 0.30/0.57 (step @p104 :rule false_intro :premises (@p32)) % 0.30/0.57 (step @p223 :rule false_intro :premises (@p288)) % 0.30/0.57 (step @p224 :rule symm :premises (@p223)) % 0.30/0.57 (step @p225 :rule false_intro :premises (@p289)) % 0.30/0.57 (step @p226 :rule trans :premises (@p225 @p224)) % 0.30/0.57 (step @p227 :rule cong :premises (@p65 @p226) :args (@t35)) % 0.30/0.57 (step @p110 :rule true_intro :premises (@p75)) % 0.30/0.57 (step @p111 :rule symm :premises (@p110)) % 0.30/0.57 (step @p228 :rule trans :premises (@p111 @p227 @p104)) % 0.30/0.57 (step @p229 false :rule eq_resolve :premises (@p228 @p103)) % 0.30/0.57 (step-pop @p291 :rule scope :premises (@p229)) % 0.30/0.57 (step-pop @p292 :rule scope :premises (@p291)) % 0.30/0.57 (step-pop @p293 :rule scope :premises (@p292)) % 0.30/0.57 (step-pop @p294 :rule scope :premises (@p293)) % 0.30/0.57 (step @p230 :rule process_scope :premises (@p294) :args (false)) % 0.30/0.57 (assume-push @p295 @t42) % 0.30/0.57 (assume-push @p296 @t37) % 0.30/0.57 (assume-push @p297 @t35) % 0.30/0.57 (assume-push @p298 @t41) % 0.30/0.57 (step @p239 :rule and_intro :premises (@p32 @p296 @p298 @p75)) % 0.30/0.57 (step-pop @p299 :rule scope :premises (@p239)) % 0.30/0.57 (step-pop @p300 :rule scope :premises (@p299)) % 0.30/0.57 (step-pop @p301 :rule scope :premises (@p300)) % 0.30/0.57 (step-pop @p302 :rule scope :premises (@p301)) % 0.30/0.57 (step @p240 :rule process_scope :premises (@p302) :args (@t56)) % 0.30/0.57 (step @p245 :rule implies_elim :premises (@p240)) % 0.30/0.57 (step @p246 :rule resolution :premises (@p245 @p230) :args (true @t56)) % 0.30/0.57 (step @p247 :rule not_and :premises (@p246)) % 0.30/0.57 (step @p248 :rule eq_resolve :premises (@p247 @p218)) % 0.30/0.57 (step @p249 :rule reordering :premises (@p248) :args ((or @t20 @t22 @t32 @t40))) % 0.30/0.57 (step @p250 false :rule chain_m_resolution :premises (@p249 @p216 @p134 @p75 @p32) :args (false (@list true true false true) (@list @t32 @t20 @t35 @t22))) % 0.30/0.57 ) % 0.30/0.57 % SZS output end Proof % 0.30/0.57 % cvc5 exiting %------------------------------------------------------------------------------