%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ136^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:44:18 AM UTC 2026 % Result : Theorem 0.51s 0.80s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ136^1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 13:19:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.51/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.80 % SZS status Theorem % 0.51/0.80 % SZS output start Proof % 0.51/0.80 ( % 0.51/0.80 (declare-sort $$unsorted 0) % 0.51/0.80 (declare-const tptp.sutekh $$unsorted) % 0.51/0.80 (declare-const tptp.horus $$unsorted) % 0.51/0.80 (declare-const tptp.parent (-> $$unsorted $$unsorted Bool)) % 0.51/0.80 (declare-const tptp.kronus $$unsorted) % 0.51/0.80 (declare-const tptp.zeus $$unsorted) % 0.51/0.80 (define @t1 () (_ tptp.parent tptp.kronus)) % 0.51/0.80 (define @t2 () (_ @t1 tptp.zeus)) % 0.51/0.80 (define @t3 () (_ tptp.parent tptp.sutekh)) % 0.51/0.80 (define @t4 () (_ @t3 tptp.horus)) % 0.51/0.80 (define @t5 () (not @t4)) % 0.51/0.80 (define @t6 () (@var "Y" $$unsorted)) % 0.51/0.80 (define @t7 () (@var "P" (-> $$unsorted Bool))) % 0.51/0.80 (define @t8 () (_ @t7 @t6)) % 0.51/0.80 (define @t9 () (not @t8)) % 0.51/0.80 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.80 (define @t11 () (_ @t7 @t10)) % 0.51/0.80 (define @t12 () (and @t11 @t9)) % 0.51/0.80 (define @t13 () (@list @t7 @t10 @t6)) % 0.51/0.80 (define @t14 () (exists @t13 @t12)) % 0.51/0.80 (define @t15 () (not @t14)) % 0.51/0.80 (define @t16 () (@purify @t1)) % 0.51/0.80 (define @t17 () (_ @t16 tptp.zeus)) % 0.51/0.80 (define @t18 () (tptp.parent tptp.kronus tptp.zeus)) % 0.51/0.80 (define @t19 () (= @t2 @t17)) % 0.51/0.80 (define @t20 () (= @t1 @t16)) % 0.51/0.80 (define @t21 () (and @t20 @t19)) % 0.51/0.80 (define @t22 () (_ @t1 tptp.zeus)) % 0.51/0.80 (define @t23 () (= @t2 @t22)) % 0.51/0.80 (define @t24 () (@purify @t3)) % 0.51/0.80 (define @t25 () (_ @t24 tptp.horus)) % 0.51/0.80 (define @t26 () (tptp.parent tptp.sutekh tptp.horus)) % 0.51/0.80 (define @t27 () (= @t4 @t25)) % 0.51/0.80 (define @t28 () (= @t3 @t24)) % 0.51/0.80 (define @t29 () (and @t28 @t27)) % 0.51/0.80 (define @t30 () (_ @t3 tptp.horus)) % 0.51/0.80 (define @t31 () (= @t4 @t30)) % 0.51/0.80 (define @t32 () (_ @t7 @t6)) % 0.51/0.80 (define @t33 () (_ @t7 @t10)) % 0.51/0.80 (define @t34 () (forall @t13 (or (not @t33) @t32))) % 0.51/0.80 (define @t35 () (not @t11)) % 0.51/0.80 (define @t36 () (or @t35 @t8)) % 0.51/0.80 (define @t37 () (forall @t13 (not @t12))) % 0.51/0.80 (define @t38 () (not @t37)) % 0.51/0.80 (define @t39 () (_ @t24 tptp.zeus)) % 0.51/0.80 (define @t40 () (not @t39)) % 0.51/0.80 (define @t41 () (or @t40 @t25)) % 0.51/0.80 (define @t42 () (@list false)) % 0.51/0.80 (define @t43 () (= @t16 @t24)) % 0.51/0.80 (define @t44 () (not @t43)) % 0.51/0.80 (define @t45 () (not @t17)) % 0.51/0.80 (define @t46 () (= tptp.kronus tptp.sutekh)) % 0.51/0.80 (define @t47 () (@var "BOUND_VARIABLE_14843" $$unsorted)) % 0.51/0.80 (define @t48 () (lambda (@list @t47) (= @t47 tptp.sutekh))) % 0.51/0.80 (define @t49 () (_ @t48 tptp.kronus)) % 0.51/0.80 (define @t50 () (= @t49 @t46)) % 0.51/0.80 (define @t51 () (= tptp.zeus tptp.sutekh)) % 0.51/0.80 (define @t52 () (_ @t48 tptp.zeus)) % 0.51/0.80 (define @t53 () (= @t52 @t51)) % 0.51/0.80 (define @t54 () (not @t52)) % 0.51/0.80 (define @t55 () (or @t54 @t49)) % 0.51/0.80 (define @t56 () (=> @t34 @t55)) % 0.51/0.80 (define @t57 () (@list @t48 tptp.zeus tptp.kronus)) % 0.51/0.80 (define @t58 () (not @t51)) % 0.51/0.80 (define @t59 () (or @t58 @t46)) % 0.51/0.80 (define @t60 () (@list @t34)) % 0.51/0.80 (define @t61 () (= (or false @t51) @t51)) % 0.51/0.80 (define @t62 () (not true)) % 0.51/0.80 (define @t63 () (_ @t48 tptp.sutekh)) % 0.51/0.80 (define @t64 () (= @t63 (= tptp.sutekh tptp.sutekh))) % 0.51/0.80 (define @t65 () (not @t63)) % 0.51/0.80 (define @t66 () (or @t65 @t52)) % 0.51/0.80 (define @t67 () (=> @t34 @t66)) % 0.51/0.80 (define @t68 () (@list @t48 tptp.sutekh tptp.zeus)) % 0.51/0.80 (define @t69 () (or @t46 @t58 (not @t59))) % 0.51/0.80 (define @t70 () (@list false false)) % 0.51/0.80 (define @t71 () (@list @t51 @t59)) % 0.51/0.80 (define @t72 () (and @t20 @t28 @t46)) % 0.51/0.80 (assume @p1 @t2) % 0.51/0.80 (assume @p2 @t5) % 0.51/0.80 (assume @p3 @t15) % 0.51/0.80 (assume @p4 true) % 0.51/0.80 (step @p5 :rule refl :args (@t17)) % 0.51/0.80 (step @p6 :rule refl :args (@t18)) % 0.51/0.80 (step @p7 :rule refl :args (@t2)) % 0.51/0.80 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t2 @t18))) % 0.51/0.80 (step @p9 :rule symm :premises (@p8)) % 0.51/0.80 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.51/0.80 (step @p11 :rule cong :premises (@p10 @p5) :args (@t19)) % 0.51/0.80 (step @p12 :rule refl :args (@t20)) % 0.51/0.80 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t21)) % 0.51/0.80 (step @p14 :rule eq-symm :args (@t17 @t2)) % 0.51/0.80 (step @p15 :rule eq-symm :args (@t16 @t1)) % 0.51/0.80 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((and (= @t16 @t1) (= @t17 @t2)))) % 0.51/0.80 (step @p17 :rule trans :premises (@p16 @p13)) % 0.51/0.80 (step @p18 :rule evaluate :args ((and true true))) % 0.51/0.80 (step @p19 :rule eq-refl :args (@t2)) % 0.51/0.80 (step @p20 :rule refl :args (@t22)) % 0.51/0.80 (step @p21 :rule refl :args (@t2)) % 0.51/0.80 (step @p22 :rule cong :premises (@p21 @p20) :args (@t23)) % 0.51/0.80 (step @p23 :rule trans :premises (@p22 @p19)) % 0.51/0.80 (step @p24 :rule eq-refl :args (@t1)) % 0.51/0.80 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((and (= @t1 @t1) @t23))) % 0.51/0.80 (step @p26 :rule trans :premises (@p25 @p18)) % 0.51/0.80 (step @p27 :rule refl :args (tptp.zeus)) % 0.51/0.80 (step @p28 :rule skolem_intro :args (@t16)) % 0.51/0.80 (step @p29 :rule ho_cong :premises (@p28 @p27)) % 0.51/0.80 (step @p30 :rule cong :premises (@p21 @p29) :args (@t19)) % 0.51/0.80 (step @p31 :rule refl :args (@t1)) % 0.51/0.80 (step @p32 :rule cong :premises (@p31 @p28) :args (@t20)) % 0.51/0.80 (step @p33 :rule nary_cong :premises (@p32 @p30) :args (@t21)) % 0.51/0.80 (step @p34 :rule trans :premises (@p16 @p33 @p26)) % 0.51/0.80 (step @p35 :rule true_elim :premises (@p34)) % 0.51/0.80 (step @p36 :rule eq_resolve :premises (@p35 @p17)) % 0.51/0.80 (step @p37 :rule and_elim :premises (@p36) :args (0)) % 0.51/0.80 (step @p38 :rule refl :args (@t25)) % 0.51/0.80 (step @p39 :rule refl :args (@t26)) % 0.51/0.80 (step @p40 :rule refl :args (@t4)) % 0.51/0.80 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t4 @t26))) % 0.51/0.80 (step @p42 :rule symm :premises (@p41)) % 0.51/0.80 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.51/0.80 (step @p44 :rule cong :premises (@p43 @p38) :args (@t27)) % 0.51/0.80 (step @p45 :rule refl :args (@t28)) % 0.51/0.80 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t29)) % 0.51/0.80 (step @p47 :rule eq-symm :args (@t25 @t4)) % 0.51/0.80 (step @p48 :rule eq-symm :args (@t24 @t3)) % 0.51/0.80 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and (= @t24 @t3) (= @t25 @t4)))) % 0.51/0.80 (step @p50 :rule trans :premises (@p49 @p46)) % 0.51/0.80 (step @p51 :rule eq-refl :args (@t4)) % 0.51/0.80 (step @p52 :rule refl :args (@t30)) % 0.51/0.80 (step @p53 :rule refl :args (@t4)) % 0.51/0.80 (step @p54 :rule cong :premises (@p53 @p52) :args (@t31)) % 0.51/0.80 (step @p55 :rule trans :premises (@p54 @p51)) % 0.51/0.80 (step @p56 :rule eq-refl :args (@t3)) % 0.51/0.80 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((and (= @t3 @t3) @t31))) % 0.51/0.80 (step @p58 :rule trans :premises (@p57 @p18)) % 0.51/0.80 (step @p59 :rule refl :args (tptp.horus)) % 0.51/0.80 (step @p60 :rule skolem_intro :args (@t24)) % 0.51/0.80 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.51/0.80 (step @p62 :rule cong :premises (@p53 @p61) :args (@t27)) % 0.51/0.80 (step @p63 :rule refl :args (@t3)) % 0.51/0.80 (step @p64 :rule cong :premises (@p63 @p60) :args (@t28)) % 0.51/0.80 (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t29)) % 0.51/0.80 (step @p66 :rule trans :premises (@p49 @p65 @p58)) % 0.51/0.80 (step @p67 :rule true_elim :premises (@p66)) % 0.51/0.80 (step @p68 :rule eq_resolve :premises (@p67 @p50)) % 0.51/0.80 (step @p69 :rule and_elim :premises (@p68) :args (0)) % 0.51/0.80 (step @p70 :rule bool-double-not-elim :args (@t34)) % 0.51/0.80 (step @p71 :rule refl :args (@t32)) % 0.51/0.80 (step @p72 :rule refl :args (@t8)) % 0.51/0.80 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t8 @t32))) % 0.51/0.80 (step @p74 :rule symm :premises (@p73)) % 0.51/0.80 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.51/0.80 (step @p76 :rule refl :args (@t33)) % 0.51/0.80 (step @p77 :rule refl :args (@t11)) % 0.51/0.80 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t11 @t33))) % 0.51/0.80 (step @p79 :rule symm :premises (@p78)) % 0.51/0.80 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.51/0.80 (step @p81 :rule cong :premises (@p80) :args (@t35)) % 0.51/0.80 (step @p82 :rule nary_cong :premises (@p81 @p75) :args (@t36)) % 0.51/0.80 (step @p83 :rule cong :premises (@p82) :args ((forall @t13 @t36))) % 0.51/0.80 (step @p84 :rule bool-double-not-elim :args (@t8)) % 0.51/0.80 (step @p85 :rule refl :args (@t35)) % 0.51/0.80 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t35 (not @t9)))) % 0.51/0.80 (step @p87 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.51/0.80 (step @p88 :rule trans :premises (@p87 @p86)) % 0.51/0.80 (step @p89 :rule cong :premises (@p88) :args (@t37)) % 0.51/0.80 (step @p90 :rule trans :premises (@p89 @p83)) % 0.51/0.80 (step @p91 :rule cong :premises (@p90) :args (@t38)) % 0.51/0.80 (step @p92 :rule exists-elim :args ((= @t14 @t38))) % 0.51/0.80 (step @p93 :rule trans :premises (@p92 @p91)) % 0.51/0.80 (step @p94 :rule cong :premises (@p93) :args (@t15)) % 0.51/0.80 (step @p95 :rule trans :premises (@p94 @p70)) % 0.51/0.80 (step @p96 :rule eq_resolve :premises (@p3 @p95)) % 0.51/0.80 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t24 tptp.zeus tptp.horus))) % 0.51/0.80 (step @p98 :rule cong :premises (@p43) :args (@t5)) % 0.51/0.80 (step @p99 :rule eq_resolve :premises (@p2 @p98)) % 0.51/0.80 (step @p100 :rule and_elim :premises (@p68) :args (1)) % 0.51/0.80 (step @p101 :rule equiv_elim2 :premises (@p100)) % 0.51/0.80 (step @p102 :rule chain_m_resolution :premises (@p101 @p99) :args ((not @t25) (@list true) (@list @t26))) % 0.51/0.80 (step @p103 :rule cnf_or_pos :args (@t41)) % 0.51/0.80 (step @p104 :rule reordering :premises (@p103) :args ((or @t25 @t40 (not @t41)))) % 0.51/0.80 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p97) :args (@t40 (@list true false) (@list @t25 @t41))) % 0.51/0.80 (step @p106 :rule eq_resolve :premises (@p1 @p10)) % 0.51/0.80 (step @p107 :rule and_elim :premises (@p36) :args (1)) % 0.51/0.80 (step @p108 :rule equiv_elim1 :premises (@p107)) % 0.51/0.80 (step @p109 :rule chain_m_resolution :premises (@p108 @p106) :args (@t17 @t42 (@list @t18))) % 0.51/0.80 (step @p110 :rule bool-double-not-elim :args (@t39)) % 0.51/0.80 (step @p111 :rule refl :args (@t44)) % 0.51/0.80 (step @p112 :rule refl :args (@t45)) % 0.51/0.80 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args ((or @t45 @t44 (not @t40)))) % 0.51/0.80 (assume-push @p187 @t17) % 0.51/0.80 (assume-push @p188 @t43) % 0.51/0.80 (assume-push @p189 @t40) % 0.51/0.80 (step @p117 :rule evaluate :args ((= false true))) % 0.51/0.80 (step @p118 :rule true_intro :premises (@p109)) % 0.51/0.80 (step @p119 :rule and_elim :premises (@p68) :args (0)) % 0.51/0.80 (step @p120 :rule beta-reduce :args (@t50)) % 0.51/0.80 (step @p121 :rule beta-reduce :args (@t53)) % 0.51/0.80 (step @p122 :rule cong :premises (@p121) :args (@t54)) % 0.51/0.80 (step @p123 :rule nary_cong :premises (@p122 @p120) :args (@t55)) % 0.51/0.80 (step @p124 :rule refl :args (@t34)) % 0.51/0.80 (step @p125 :rule cong :premises (@p124 @p123) :args (@t56)) % 0.51/0.80 (assume-push @p190 @t34) % 0.51/0.80 (step @p127 :rule instantiate :premises (@p96) :args (@t57)) % 0.51/0.80 (step-pop @p191 :rule scope :premises (@p127)) % 0.51/0.80 (step @p128 :rule process_scope :premises (@p191) :args (@t55)) % 0.51/0.80 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.51/0.80 (step @p131 :rule implies_elim :premises (@p130)) % 0.51/0.80 (step @p132 :rule chain_m_resolution :premises (@p131 @p96) :args (@t59 @t42 @t60)) % 0.51/0.80 (step @p133 :rule aci_norm :args (@t61)) % 0.51/0.80 (step @p134 :rule evaluate :args (@t62)) % 0.51/0.80 (step @p135 :rule eq-refl :args (tptp.sutekh)) % 0.51/0.80 (step @p136 :rule beta-reduce :args (@t64)) % 0.51/0.80 (step @p137 :rule trans :premises (@p136 @p135)) % 0.51/0.80 (step @p138 :rule cong :premises (@p137) :args (@t65)) % 0.51/0.80 (step @p139 :rule trans :premises (@p138 @p134)) % 0.51/0.80 (step @p140 :rule nary_cong :premises (@p139 @p121) :args (@t66)) % 0.51/0.80 (step @p141 :rule trans :premises (@p140 @p133)) % 0.51/0.80 (step @p142 :rule cong :premises (@p124 @p141) :args (@t67)) % 0.51/0.80 (assume-push @p192 @t34) % 0.51/0.80 (step @p144 :rule instantiate :premises (@p96) :args (@t68)) % 0.51/0.80 (step-pop @p193 :rule scope :premises (@p144)) % 0.51/0.80 (step @p145 :rule process_scope :premises (@p193) :args (@t66)) % 0.51/0.80 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.51/0.80 (step @p148 :rule implies_elim :premises (@p147)) % 0.51/0.80 (step @p149 :rule chain_m_resolution :premises (@p148 @p96) :args (@t51 @t42 @t60)) % 0.51/0.80 (step @p150 :rule cnf_or_pos :args (@t59)) % 0.51/0.80 (step @p151 :rule reordering :premises (@p150) :args (@t69)) % 0.51/0.80 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p132) :args (@t46 @t70 @t71)) % 0.51/0.80 (step @p153 :rule refl :args (tptp.parent)) % 0.51/0.80 (step @p154 :rule ho_cong :premises (@p153 @p152)) % 0.51/0.80 (step @p155 :rule skolem_intro :args (@t16)) % 0.51/0.80 (step @p156 :rule trans :premises (@p155 @p154 @p119)) % 0.51/0.80 (step @p157 :rule symm :premises (@p156)) % 0.51/0.80 (step @p158 :rule ho_cong :premises (@p157 @p27)) % 0.51/0.80 (step @p159 :rule false_intro :premises (@p105)) % 0.51/0.80 (step @p160 :rule symm :premises (@p159)) % 0.51/0.80 (step @p161 :rule trans :premises (@p160 @p158 @p118)) % 0.51/0.80 (step @p162 false :rule eq_resolve :premises (@p161 @p117)) % 0.51/0.80 (step-pop @p194 :rule scope :premises (@p162)) % 0.51/0.80 (step-pop @p195 :rule scope :premises (@p194)) % 0.51/0.80 (step-pop @p196 :rule scope :premises (@p195)) % 0.51/0.80 (step @p163 :rule process_scope :premises (@p196) :args (false)) % 0.51/0.80 (step @p167 :rule not_and :premises (@p163)) % 0.51/0.80 (step @p168 :rule eq_resolve :premises (@p167 @p113)) % 0.51/0.80 (step @p169 :rule chain_m_resolution :premises (@p168 @p109 @p105) :args (@t44 (@list false true) (@list @t17 @t39))) % 0.51/0.80 (step @p120 :rule beta-reduce :args (@t50)) % 0.51/0.80 (step @p121 :rule beta-reduce :args (@t53)) % 0.51/0.80 (step @p122 :rule cong :premises (@p121) :args (@t54)) % 0.51/0.80 (step @p123 :rule nary_cong :premises (@p122 @p120) :args (@t55)) % 0.51/0.80 (step @p124 :rule refl :args (@t34)) % 0.51/0.80 (step @p125 :rule cong :premises (@p124 @p123) :args (@t56)) % 0.51/0.80 (assume-push @p197 @t34) % 0.51/0.80 (step @p127 :rule instantiate :premises (@p96) :args (@t57)) % 0.51/0.80 (step-pop @p198 :rule scope :premises (@p127)) % 0.51/0.80 (step @p128 :rule process_scope :premises (@p198) :args (@t55)) % 0.51/0.80 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.51/0.80 (step @p131 :rule implies_elim :premises (@p130)) % 0.51/0.80 (step @p132 :rule chain_m_resolution :premises (@p131 @p96) :args (@t59 @t42 @t60)) % 0.33/0.80 (step @p133 :rule aci_norm :args (@t61)) % 0.33/0.80 (step @p134 :rule evaluate :args (@t62)) % 0.33/0.80 (step @p135 :rule eq-refl :args (tptp.sutekh)) % 0.33/0.80 (step @p136 :rule beta-reduce :args (@t64)) % 0.33/0.80 (step @p137 :rule trans :premises (@p136 @p135)) % 0.33/0.80 (step @p138 :rule cong :premises (@p137) :args (@t65)) % 0.33/0.80 (step @p139 :rule trans :premises (@p138 @p134)) % 0.33/0.80 (step @p140 :rule nary_cong :premises (@p139 @p121) :args (@t66)) % 0.33/0.80 (step @p141 :rule trans :premises (@p140 @p133)) % 0.33/0.80 (step @p142 :rule cong :premises (@p124 @p141) :args (@t67)) % 0.33/0.80 (assume-push @p199 @t34) % 0.33/0.80 (step @p144 :rule instantiate :premises (@p96) :args (@t68)) % 0.33/0.80 (step-pop @p200 :rule scope :premises (@p144)) % 0.33/0.80 (step @p145 :rule process_scope :premises (@p200) :args (@t66)) % 0.33/0.80 (step @p147 :rule eq_resolve :premises (@p145 @p142)) % 0.33/0.80 (step @p148 :rule implies_elim :premises (@p147)) % 0.33/0.80 (step @p149 :rule chain_m_resolution :premises (@p148 @p96) :args (@t51 @t42 @t60)) % 0.33/0.80 (step @p150 :rule cnf_or_pos :args (@t59)) % 0.33/0.80 (step @p151 :rule reordering :premises (@p150) :args (@t69)) % 0.33/0.80 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p132) :args (@t46 @t70 @t71)) % 0.33/0.80 (assume-push @p201 @t20) % 0.33/0.80 (assume-push @p202 @t28) % 0.33/0.80 (assume-push @p203 @t46) % 0.33/0.80 (step @p153 :rule refl :args (tptp.parent)) % 0.33/0.80 (step @p154 :rule ho_cong :premises (@p153 @p152)) % 0.33/0.80 (step @p177 :rule trans :premises (@p28 @p154 @p69)) % 0.33/0.80 (step-pop @p204 :rule scope :premises (@p177)) % 0.33/0.80 (step-pop @p205 :rule scope :premises (@p204)) % 0.33/0.80 (step-pop @p206 :rule scope :premises (@p205)) % 0.33/0.80 (step @p178 :rule process_scope :premises (@p206) :args (@t43)) % 0.33/0.80 (step @p182 :rule implies_elim :premises (@p178)) % 0.33/0.80 (step @p183 :rule cnf_and_neg :args (@t72)) % 0.33/0.80 (step @p184 :rule resolution :premises (@p183 @p182) :args (true @t72)) % 0.33/0.80 (step @p185 :rule reordering :premises (@p184) :args ((or (not @t20) (not @t28) @t43 (not @t46)))) % 0.33/0.80 (step @p186 false :rule chain_m_resolution :premises (@p185 @p152 @p169 @p69 @p37) :args (false (@list false true false false) (@list @t46 @t43 @t28 @t20))) % 0.33/0.80 ) % 0.33/0.80 % SZS output end Proof % 0.33/0.80 % cvc5 exiting %------------------------------------------------------------------------------