%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CSR128^1 : 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 : 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 08:13:02 AM UTC 2026 % Result : Theorem 0.41s 0.57s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR128^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Mon Jun 1 21:57:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.49 %----Proving TH0 % 0.41/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.41/0.57 % SZS status Theorem % 0.41/0.57 % SZS output start Proof % 0.41/0.57 ( % 0.41/0.57 (declare-sort $$unsorted 0) % 0.41/0.57 (declare-const tptp.lSue_THFTYPE_i $$unsorted) % 0.41/0.57 (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool)) % 0.41/0.57 (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted)) % 0.41/0.57 (declare-const tptp.n2009_THFTYPE_i $$unsorted) % 0.41/0.57 (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool)) % 0.41/0.57 (declare-const tptp.lMary_THFTYPE_i $$unsorted) % 0.41/0.57 (declare-const tptp.lBill_THFTYPE_i $$unsorted) % 0.41/0.57 (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i)) % 0.41/0.57 (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i)) % 0.41/0.57 (define @t3 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.41/0.57 (define @t4 () (_ tptp.holdsDuring_THFTYPE_IiooI @t3)) % 0.41/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.41/0.57 (define @t6 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i)) % 0.41/0.57 (define @t7 () (_ @t6 @t5)) % 0.41/0.57 (define @t8 () (_ @t1 @t5)) % 0.41/0.57 (define @t9 () (=> @t8 @t7)) % 0.41/0.57 (define @t10 () (_ @t4 @t9)) % 0.41/0.57 (define @t11 () (@list @t5)) % 0.41/0.57 (define @t12 () (forall @t11 @t10)) % 0.41/0.57 (define @t13 () (@var "Z" $$unsorted)) % 0.41/0.57 (define @t14 () (_ @t6 @t13)) % 0.41/0.57 (define @t15 () (@var "T" $$unsorted)) % 0.41/0.57 (define @t16 () (_ tptp.holdsDuring_THFTYPE_IiooI @t15)) % 0.41/0.57 (define @t17 () (_ @t16 @t14)) % 0.41/0.57 (define @t18 () (@list @t15 @t13)) % 0.41/0.57 (define @t19 () (exists @t18 @t17)) % 0.41/0.57 (define @t20 () (not @t19)) % 0.41/0.57 (define @t21 () (@purify @t2)) % 0.41/0.57 (define @t22 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i)) % 0.41/0.57 (define @t23 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t21)) % 0.41/0.57 (define @t24 () (_ tptp.holdsDuring_THFTYPE_IiooI @t22)) % 0.41/0.57 (define @t25 () (= @t2 @t21)) % 0.41/0.57 (define @t26 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t13)) % 0.41/0.57 (define @t27 () (tptp.holdsDuring_THFTYPE_IiooI @t15 @t26)) % 0.41/0.57 (define @t28 () (forall @t18 (not @t27))) % 0.41/0.57 (define @t29 () (not @t17)) % 0.41/0.57 (define @t30 () (forall @t18 @t29)) % 0.41/0.57 (define @t31 () (not @t30)) % 0.41/0.57 (define @t32 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.41/0.57 (define @t33 () (@purify @t32)) % 0.41/0.57 (define @t34 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t32)) % 0.41/0.57 (define @t35 () (not @t34)) % 0.41/0.57 (define @t36 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t33)) % 0.41/0.57 (define @t37 () (not @t36)) % 0.41/0.57 (define @t38 () (@list false)) % 0.41/0.57 (define @t39 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i)) % 0.41/0.57 (define @t40 () (not @t21)) % 0.41/0.57 (define @t41 () (not @t33)) % 0.41/0.57 (define @t42 () (not @t23)) % 0.41/0.57 (define @t43 () (not @t37)) % 0.41/0.57 (define @t44 () (= false true)) % 0.41/0.57 (define @t45 () (and @t23 @t21 @t33 @t37)) % 0.41/0.57 (define @t46 () (=> @t39 @t32)) % 0.41/0.57 (define @t47 () (not @t46)) % 0.41/0.57 (define @t48 () (not @t39)) % 0.41/0.57 (define @t49 () (@purify @t46)) % 0.41/0.57 (define @t50 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t5)) % 0.41/0.57 (define @t51 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i @t5)) % 0.41/0.57 (define @t52 () (=> @t51 @t50)) % 0.41/0.57 (define @t53 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t52)) % 0.41/0.57 (define @t54 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t46)) % 0.41/0.57 (define @t55 () (forall @t11 @t53)) % 0.41/0.57 (define @t56 () (tptp.holdsDuring_THFTYPE_IiooI @t22 @t49)) % 0.41/0.57 (define @t57 () (not @t56)) % 0.41/0.57 (define @t58 () (not @t41)) % 0.41/0.57 (define @t59 () (not @t49)) % 0.41/0.57 (define @t60 () (and @t37 @t41 @t59 @t56)) % 0.41/0.57 (define @t61 () (@list true)) % 0.41/0.57 (define @t62 () (and @t56 @t49 @t33 @t37)) % 0.41/0.57 (define @t63 () (and @t23 @t40 @t41 @t37)) % 0.41/0.57 (assume @p1 (_ @t4 @t2)) % 0.41/0.57 (assume @p2 @t12) % 0.41/0.57 (assume @p3 @t20) % 0.41/0.57 (assume @p4 true) % 0.41/0.57 (step @p5 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t21))) % 0.41/0.57 (step @p6 :rule refl :args (@t21)) % 0.41/0.57 (step @p7 :rule refl :args (@t22)) % 0.41/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args (@t23)) % 0.41/0.57 (step @p9 :rule trans :premises (@p8 @p5)) % 0.41/0.57 (step @p10 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.41/0.57 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.41/0.57 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.41/0.57 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ @t24 @t21) @t23))) % 0.41/0.57 (step @p14 :rule symm :premises (@p13)) % 0.41/0.57 (step @p15 :rule refl :args ((_ @t4 @t21))) % 0.41/0.57 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.41/0.57 (step @p17 :rule eq-refl :args (@t2)) % 0.41/0.57 (step @p18 :rule skolem_intro :args (@t21)) % 0.41/0.57 (step @p19 :rule refl :args (@t2)) % 0.41/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args (@t25)) % 0.41/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.41/0.57 (step @p22 :rule true_elim :premises (@p21)) % 0.41/0.57 (step @p23 :rule refl :args (@t3)) % 0.41/0.57 (step @p24 :rule cong :premises (@p23 @p7) :args ((= @t3 @t22))) % 0.41/0.57 (step @p25 :rule symm :premises (@p24)) % 0.41/0.57 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.41/0.57 (step @p27 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI)) % 0.41/0.57 (step @p28 :rule ho_cong :premises (@p27 @p26)) % 0.41/0.57 (step @p29 :rule ho_cong :premises (@p28 @p22)) % 0.41/0.57 (step @p30 :rule trans :premises (@p29 @p16)) % 0.41/0.57 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.41/0.57 (step @p32 :rule bool-double-not-elim :args (@t28)) % 0.41/0.57 (step @p33 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t15 @t14))) % 0.41/0.57 (step @p34 :rule refl :args (@t26)) % 0.41/0.57 (step @p35 :rule refl :args (@t15)) % 0.41/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args (@t27)) % 0.41/0.57 (step @p37 :rule trans :premises (@p36 @p33)) % 0.41/0.57 (step @p38 :rule refl :args (@t16)) % 0.41/0.57 (step @p39 :rule ho_cong :premises (@p38 @p34)) % 0.41/0.57 (step @p40 :rule cong :premises (@p39 @p37) :args ((= (_ @t16 @t26) @t27))) % 0.41/0.57 (step @p41 :rule symm :premises (@p40)) % 0.41/0.57 (step @p42 :rule refl :args (@t17)) % 0.41/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.41/0.57 (step @p44 :rule refl :args (@t14)) % 0.41/0.57 (step @p45 :rule cong :premises (@p44 @p34) :args ((= @t14 @t26))) % 0.41/0.57 (step @p46 :rule symm :premises (@p45)) % 0.41/0.57 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.41/0.57 (step @p48 :rule ho_cong :premises (@p38 @p47)) % 0.41/0.57 (step @p49 :rule trans :premises (@p48 @p43)) % 0.41/0.57 (step @p50 :rule cong :premises (@p49) :args (@t29)) % 0.41/0.57 (step @p51 :rule cong :premises (@p50) :args (@t30)) % 0.41/0.57 (step @p52 :rule cong :premises (@p51) :args (@t31)) % 0.41/0.57 (step @p53 :rule exists-elim :args ((= @t19 @t31))) % 0.41/0.57 (step @p54 :rule trans :premises (@p53 @p52)) % 0.41/0.57 (step @p55 :rule cong :premises (@p54) :args (@t20)) % 0.41/0.57 (step @p56 :rule trans :premises (@p55 @p32)) % 0.41/0.57 (step @p57 :rule eq_resolve :premises (@p3 @p56)) % 0.41/0.57 (step @p58 :rule eq-refl :args (@t32)) % 0.41/0.57 (step @p59 :rule skolem_intro :args (@t33)) % 0.41/0.57 (step @p60 :rule refl :args (@t32)) % 0.41/0.57 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t32 @t33))) % 0.41/0.57 (step @p62 :rule trans :premises (@p61 @p58)) % 0.41/0.57 (step @p63 :rule true_elim :premises (@p62)) % 0.41/0.57 (step @p64 :rule refl :args (@t22)) % 0.41/0.57 (step @p65 :rule cong :premises (@p64 @p63) :args (@t34)) % 0.41/0.57 (step @p66 :rule cong :premises (@p65) :args (@t35)) % 0.41/0.57 (step @p67 :rule refl :args (@t28)) % 0.41/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t28 @t35))) % 0.41/0.57 (assume-push @p287 @t28) % 0.41/0.57 (step @p70 :rule instantiate :premises (@p57) :args ((@list @t22 tptp.lBill_THFTYPE_i))) % 0.41/0.57 (step-pop @p288 :rule scope :premises (@p70)) % 0.41/0.57 (step @p71 :rule process_scope :premises (@p288) :args (@t35)) % 0.41/0.57 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.41/0.57 (step @p74 :rule implies_elim :premises (@p73)) % 0.41/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p57) :args (@t37 @t38 (@list @t28))) % 0.41/0.57 (step @p76 :rule eq-symm :args (@t39 @t21)) % 0.41/0.57 (step @p77 :rule refl :args (@t21)) % 0.41/0.57 (step @p78 :rule refl :args (@t39)) % 0.41/0.57 (step @p79 :rule refl :args (@t2)) % 0.41/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t2 @t39))) % 0.41/0.57 (step @p81 :rule symm :premises (@p80)) % 0.41/0.57 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.41/0.57 (step @p83 :rule cong :premises (@p82 @p77) :args (@t25)) % 0.41/0.57 (step @p84 :rule trans :premises (@p83 @p76)) % 0.41/0.57 (step @p85 :rule eq-symm :args (@t21 @t2)) % 0.41/0.57 (step @p86 :rule trans :premises (@p85 @p84)) % 0.41/0.57 (step @p87 :rule eq_resolve :premises (@p18 @p86)) % 0.41/0.57 (step @p88 :rule equiv_elim1 :premises (@p87)) % 0.41/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t39 @t40))) % 0.41/0.57 (step @p90 :rule bool-double-not-elim :args (@t36)) % 0.41/0.57 (step @p91 :rule refl :args (@t41)) % 0.41/0.57 (step @p92 :rule refl :args (@t42)) % 0.41/0.57 (step @p93 :rule refl :args (@t40)) % 0.41/0.57 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91 @p90) :args ((or @t40 @t42 @t41 @t43))) % 0.41/0.57 (assume-push @p289 @t23) % 0.41/0.57 (assume-push @p290 @t21) % 0.41/0.57 (assume-push @p291 @t33) % 0.41/0.57 (assume-push @p292 @t37) % 0.41/0.57 (step @p99 :rule evaluate :args (@t44)) % 0.41/0.57 (step @p100 :rule true_intro :premises (@p31)) % 0.41/0.57 (step @p101 :rule true_intro :premises (@p290)) % 0.41/0.57 (step @p102 :rule symm :premises (@p101)) % 0.41/0.57 (step @p103 :rule true_intro :premises (@p291)) % 0.41/0.57 (step @p104 :rule trans :premises (@p103 @p102)) % 0.41/0.57 (step @p105 :rule cong :premises (@p64 @p104) :args (@t36)) % 0.41/0.57 (step @p106 :rule false_intro :premises (@p75)) % 0.41/0.57 (step @p107 :rule symm :premises (@p106)) % 0.41/0.57 (step @p108 :rule trans :premises (@p107 @p105 @p100)) % 0.41/0.57 (step @p109 false :rule eq_resolve :premises (@p108 @p99)) % 0.41/0.57 (step-pop @p293 :rule scope :premises (@p109)) % 0.41/0.57 (step-pop @p294 :rule scope :premises (@p293)) % 0.41/0.57 (step-pop @p295 :rule scope :premises (@p294)) % 0.41/0.57 (step-pop @p296 :rule scope :premises (@p295)) % 0.41/0.57 (step @p110 :rule process_scope :premises (@p296) :args (false)) % 0.41/0.57 (assume-push @p297 @t21) % 0.41/0.57 (assume-push @p298 @t23) % 0.41/0.57 (assume-push @p299 @t33) % 0.41/0.57 (assume-push @p300 @t37) % 0.41/0.57 (step @p119 :rule and_intro :premises (@p31 @p297 @p299 @p75)) % 0.41/0.57 (step-pop @p301 :rule scope :premises (@p119)) % 0.41/0.57 (step-pop @p302 :rule scope :premises (@p301)) % 0.41/0.57 (step-pop @p303 :rule scope :premises (@p302)) % 0.41/0.57 (step-pop @p304 :rule scope :premises (@p303)) % 0.41/0.57 (step @p120 :rule process_scope :premises (@p304) :args (@t45)) % 0.41/0.57 (step @p125 :rule implies_elim :premises (@p120)) % 0.41/0.57 (step @p126 :rule resolution :premises (@p125 @p110) :args (true @t45)) % 0.41/0.57 (step @p127 :rule not_and :premises (@p126)) % 0.41/0.57 (step @p128 :rule eq_resolve :premises (@p127 @p94)) % 0.41/0.57 (step @p129 :rule reordering :premises (@p128) :args ((or @t42 @t40 @t36 @t41))) % 0.41/0.57 (step @p130 :rule equiv_elim1 :premises (@p63)) % 0.41/0.57 (step @p131 :rule cnf_implies_pos :args (@t46)) % 0.41/0.57 (step @p132 :rule reordering :premises (@p131) :args ((or @t48 @t32 @t47))) % 0.41/0.57 (step @p133 :rule skolem_intro :args (@t49)) % 0.41/0.57 (step @p134 :rule symm :premises (@p133)) % 0.41/0.57 (step @p135 :rule equiv_elim2 :premises (@p134)) % 0.41/0.57 (step @p136 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t3 @t9))) % 0.41/0.57 (step @p137 :rule refl :args (@t50)) % 0.41/0.57 (step @p138 :rule refl :args (@t51)) % 0.41/0.57 (step @p139 :rule cong :premises (@p138 @p137) :args (@t52)) % 0.41/0.57 (step @p140 :rule cong :premises (@p7 @p139) :args (@t53)) % 0.41/0.57 (step @p141 :rule trans :premises (@p140 @p136)) % 0.41/0.57 (step @p142 :rule ho_cong :premises (@p11 @p139)) % 0.41/0.57 (step @p143 :rule cong :premises (@p142 @p141) :args ((= (_ @t24 @t52) @t53))) % 0.41/0.57 (step @p144 :rule symm :premises (@p143)) % 0.41/0.57 (step @p145 :rule refl :args (@t10)) % 0.41/0.57 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.41/0.57 (step @p147 :rule refl :args (@t7)) % 0.41/0.57 (step @p148 :rule cong :premises (@p147 @p137) :args ((= @t7 @t50))) % 0.41/0.57 (step @p149 :rule symm :premises (@p148)) % 0.41/0.57 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 0.41/0.57 (step @p151 :rule refl :args (@t8)) % 0.41/0.57 (step @p152 :rule cong :premises (@p151 @p138) :args ((= @t8 @t51))) % 0.41/0.57 (step @p153 :rule symm :premises (@p152)) % 0.41/0.57 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.41/0.57 (step @p155 :rule cong :premises (@p154 @p150) :args (@t9)) % 0.41/0.57 (step @p156 :rule eq_resolve :premises (@p23 @p25)) % 0.41/0.57 (step @p157 :rule ho_cong :premises (@p10 @p156)) % 0.41/0.57 (step @p158 :rule ho_cong :premises (@p157 @p155)) % 0.41/0.57 (step @p159 :rule trans :premises (@p158 @p146)) % 0.41/0.57 (step @p160 :rule cong :premises (@p159) :args (@t12)) % 0.41/0.57 (step @p161 :rule eq_resolve :premises (@p2 @p160)) % 0.41/0.57 (step @p162 :rule cong :premises (@p64 @p134) :args (@t54)) % 0.41/0.57 (step @p163 :rule refl :args (@t55)) % 0.41/0.57 (step @p164 :rule cong :premises (@p163 @p162) :args ((=> @t55 @t54))) % 0.41/0.57 (assume-push @p305 @t55) % 0.41/0.57 (step @p166 :rule instantiate :premises (@p161) :args ((@list tptp.lBill_THFTYPE_i))) % 0.41/0.57 (step-pop @p306 :rule scope :premises (@p166)) % 0.41/0.57 (step @p167 :rule process_scope :premises (@p306) :args (@t54)) % 0.41/0.57 (step @p169 :rule eq_resolve :premises (@p167 @p164)) % 0.41/0.57 (step @p170 :rule implies_elim :premises (@p169)) % 0.41/0.57 (step @p171 :rule chain_m_resolution :premises (@p170 @p161) :args (@t56 @t38 (@list @t55))) % 0.41/0.57 (step @p172 :rule bool-double-not-elim :args (@t33)) % 0.41/0.57 (step @p173 :rule bool-double-not-elim :args (@t49)) % 0.41/0.57 (step @p174 :rule refl :args (@t57)) % 0.41/0.57 (step @p175 :rule nary_cong :premises (@p174 @p173 @p90 @p172) :args ((or @t57 (not @t59) @t43 @t58))) % 0.41/0.57 (assume-push @p307 @t37) % 0.41/0.57 (assume-push @p308 @t41) % 0.41/0.57 (assume-push @p309 @t59) % 0.41/0.57 (assume-push @p310 @t56) % 0.41/0.57 (step @p180 :rule evaluate :args ((= true false))) % 0.41/0.57 (step @p106 :rule false_intro :premises (@p75)) % 0.41/0.57 (step @p181 :rule false_intro :premises (@p308)) % 0.41/0.57 (step @p182 :rule symm :premises (@p181)) % 0.41/0.57 (step @p183 :rule false_intro :premises (@p309)) % 0.41/0.57 (step @p184 :rule trans :premises (@p183 @p182)) % 0.41/0.57 (step @p185 :rule cong :premises (@p64 @p184) :args (@t56)) % 0.41/0.57 (step @p186 :rule true_intro :premises (@p171)) % 0.41/0.57 (step @p187 :rule symm :premises (@p186)) % 0.41/0.57 (step @p188 :rule trans :premises (@p187 @p185 @p106)) % 0.41/0.57 (step @p189 false :rule eq_resolve :premises (@p188 @p180)) % 0.41/0.57 (step-pop @p311 :rule scope :premises (@p189)) % 0.41/0.57 (step-pop @p312 :rule scope :premises (@p311)) % 0.41/0.57 (step-pop @p313 :rule scope :premises (@p312)) % 0.41/0.57 (step-pop @p314 :rule scope :premises (@p313)) % 0.41/0.57 (step @p190 :rule process_scope :premises (@p314) :args (false)) % 0.41/0.57 (assume-push @p315 @t56) % 0.41/0.57 (assume-push @p316 @t59) % 0.41/0.57 (assume-push @p317 @t37) % 0.41/0.57 (assume-push @p318 @t41) % 0.41/0.57 (step @p199 :rule and_intro :premises (@p75 @p318 @p316 @p171)) % 0.41/0.57 (step-pop @p319 :rule scope :premises (@p199)) % 0.41/0.57 (step-pop @p320 :rule scope :premises (@p319)) % 0.41/0.57 (step-pop @p321 :rule scope :premises (@p320)) % 0.41/0.57 (step-pop @p322 :rule scope :premises (@p321)) % 0.41/0.57 (step @p200 :rule process_scope :premises (@p322) :args (@t60)) % 0.41/0.57 (step @p205 :rule implies_elim :premises (@p200)) % 0.41/0.57 (step @p206 :rule resolution :premises (@p205 @p190) :args (true @t60)) % 0.41/0.57 (step @p207 :rule not_and :premises (@p206)) % 0.41/0.57 (step @p208 :rule eq_resolve :premises (@p207 @p175)) % 0.41/0.57 (step @p209 :rule reordering :premises (@p208) :args ((or @t49 @t57 @t33 @t36))) % 0.41/0.57 (step @p210 :rule chain_m_resolution :premises (@p209 @p75 @p171 @p135 @p132 @p130 @p129 @p75 @p31 @p89) :args (@t40 (@list true false true true true true true false false) (@list @t36 @t56 @t49 @t46 @t32 @t33 @t36 @t23 @t39))) % 0.41/0.57 (step @p211 :rule equiv_elim2 :premises (@p87)) % 0.41/0.57 (step @p212 :rule chain_m_resolution :premises (@p211 @p210) :args (@t48 @t61 (@list @t21))) % 0.41/0.57 (step @p213 :rule cnf_implies_neg1 :args (@t46)) % 0.41/0.57 (step @p214 :rule reordering :premises (@p213) :args ((or @t39 @t46))) % 0.41/0.57 (step @p215 :rule chain_m_resolution :premises (@p214 @p212) :args (@t46 @t61 (@list @t39))) % 0.41/0.57 (step @p216 :rule equiv_elim1 :premises (@p134)) % 0.41/0.57 (step @p217 :rule reordering :premises (@p216) :args ((or @t49 @t47))) % 0.41/0.57 (step @p218 :rule chain_m_resolution :premises (@p217 @p215) :args (@t49 @t38 (@list @t46))) % 0.41/0.57 (step @p219 :rule refl :args (@t59)) % 0.41/0.57 (step @p220 :rule nary_cong :premises (@p219 @p174 @p91 @p90) :args ((or @t59 @t57 @t41 @t43))) % 0.41/0.57 (assume-push @p323 @t56) % 0.41/0.57 (assume-push @p324 @t49) % 0.41/0.57 (assume-push @p325 @t33) % 0.41/0.57 (assume-push @p326 @t37) % 0.41/0.57 (step @p99 :rule evaluate :args (@t44)) % 0.41/0.57 (step @p186 :rule true_intro :premises (@p171)) % 0.41/0.57 (step @p225 :rule true_intro :premises (@p324)) % 0.41/0.57 (step @p226 :rule symm :premises (@p225)) % 0.41/0.57 (step @p227 :rule true_intro :premises (@p325)) % 0.41/0.57 (step @p228 :rule trans :premises (@p227 @p226)) % 0.41/0.57 (step @p229 :rule cong :premises (@p64 @p228) :args (@t36)) % 0.41/0.57 (step @p106 :rule false_intro :premises (@p75)) % 0.41/0.57 (step @p107 :rule symm :premises (@p106)) % 0.41/0.57 (step @p230 :rule trans :premises (@p107 @p229 @p186)) % 0.41/0.57 (step @p231 false :rule eq_resolve :premises (@p230 @p99)) % 0.41/0.57 (step-pop @p327 :rule scope :premises (@p231)) % 0.41/0.57 (step-pop @p328 :rule scope :premises (@p327)) % 0.41/0.57 (step-pop @p329 :rule scope :premises (@p328)) % 0.41/0.57 (step-pop @p330 :rule scope :premises (@p329)) % 0.41/0.57 (step @p232 :rule process_scope :premises (@p330) :args (false)) % 0.41/0.57 (assume-push @p331 @t49) % 0.41/0.57 (assume-push @p332 @t56) % 0.41/0.57 (assume-push @p333 @t33) % 0.41/0.57 (assume-push @p334 @t37) % 0.41/0.57 (step @p241 :rule and_intro :premises (@p171 @p331 @p333 @p75)) % 0.41/0.57 (step-pop @p335 :rule scope :premises (@p241)) % 0.41/0.57 (step-pop @p336 :rule scope :premises (@p335)) % 0.41/0.57 (step-pop @p337 :rule scope :premises (@p336)) % 0.41/0.57 (step-pop @p338 :rule scope :premises (@p337)) % 0.41/0.57 (step @p242 :rule process_scope :premises (@p338) :args (@t62)) % 0.41/0.57 (step @p247 :rule implies_elim :premises (@p242)) % 0.41/0.57 (step @p248 :rule resolution :premises (@p247 @p232) :args (true @t62)) % 0.41/0.57 (step @p249 :rule not_and :premises (@p248)) % 0.41/0.57 (step @p250 :rule eq_resolve :premises (@p249 @p220)) % 0.41/0.57 (step @p251 :rule reordering :premises (@p250) :args ((or @t57 @t59 @t36 @t41))) % 0.41/0.57 (step @p252 :rule chain_m_resolution :premises (@p251 @p171 @p218 @p75) :args (@t41 (@list false false true) (@list @t56 @t49 @t36))) % 0.41/0.57 (step @p253 :rule bool-double-not-elim :args (@t21)) % 0.41/0.57 (step @p254 :rule nary_cong :premises (@p92 @p253 @p90 @p172) :args ((or @t42 (not @t40) @t43 @t58))) % 0.41/0.57 (assume-push @p339 @t23) % 0.41/0.57 (assume-push @p340 @t40) % 0.41/0.57 (assume-push @p341 @t41) % 0.41/0.57 (assume-push @p342 @t37) % 0.41/0.57 (step @p99 :rule evaluate :args (@t44)) % 0.41/0.57 (step @p100 :rule true_intro :premises (@p31)) % 0.41/0.57 (step @p259 :rule false_intro :premises (@p340)) % 0.41/0.57 (step @p260 :rule symm :premises (@p259)) % 0.41/0.57 (step @p261 :rule false_intro :premises (@p341)) % 0.41/0.57 (step @p262 :rule trans :premises (@p261 @p260)) % 0.41/0.57 (step @p263 :rule cong :premises (@p64 @p262) :args (@t36)) % 0.41/0.57 (step @p106 :rule false_intro :premises (@p75)) % 0.41/0.57 (step @p107 :rule symm :premises (@p106)) % 0.41/0.57 (step @p264 :rule trans :premises (@p107 @p263 @p100)) % 0.41/0.57 (step @p265 false :rule eq_resolve :premises (@p264 @p99)) % 0.41/0.57 (step-pop @p343 :rule scope :premises (@p265)) % 0.41/0.57 (step-pop @p344 :rule scope :premises (@p343)) % 0.41/0.57 (step-pop @p345 :rule scope :premises (@p344)) % 0.41/0.57 (step-pop @p346 :rule scope :premises (@p345)) % 0.41/0.57 (step @p266 :rule process_scope :premises (@p346) :args (false)) % 0.41/0.57 (assume-push @p347 @t23) % 0.41/0.57 (assume-push @p348 @t40) % 0.41/0.57 (assume-push @p349 @t37) % 0.41/0.57 (assume-push @p350 @t41) % 0.41/0.57 (step @p275 :rule and_intro :premises (@p31 @p348 @p350 @p75)) % 0.41/0.57 (step-pop @p351 :rule scope :premises (@p275)) % 0.41/0.57 (step-pop @p352 :rule scope :premises (@p351)) % 0.41/0.57 (step-pop @p353 :rule scope :premises (@p352)) % 0.41/0.57 (step-pop @p354 :rule scope :premises (@p353)) % 0.41/0.57 (step @p276 :rule process_scope :premises (@p354) :args (@t63)) % 0.41/0.57 (step @p281 :rule implies_elim :premises (@p276)) % 0.41/0.57 (step @p282 :rule resolution :premises (@p281 @p266) :args (true @t63)) % 0.41/0.57 (step @p283 :rule not_and :premises (@p282)) % 0.41/0.57 (step @p284 :rule eq_resolve :premises (@p283 @p254)) % 0.41/0.57 (step @p285 :rule reordering :premises (@p284) :args ((or @t21 @t42 @t33 @t36))) % 0.41/0.57 (step @p286 false :rule chain_m_resolution :premises (@p285 @p252 @p210 @p75 @p31) :args (false (@list true true true false) (@list @t33 @t21 @t36 @t23))) % 0.41/0.57 ) % 0.41/0.57 % SZS output end Proof % 0.41/0.57 % cvc5 exiting %------------------------------------------------------------------------------