%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG286^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:05:44 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 : ALG286^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.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 : Wed Jun 3 01:58:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (declare-const tptp.cL (-> tptp.a tptp.a)) % 0.38/0.57 (declare-const tptp.cR (-> tptp.a tptp.a)) % 0.38/0.57 (declare-const tptp.cP (-> tptp.a tptp.a tptp.a)) % 0.38/0.57 (declare-const tptp.x tptp.a) % 0.38/0.57 (declare-const tptp.y tptp.a) % 0.38/0.57 (declare-const tptp.u tptp.a) % 0.38/0.57 (declare-const tptp.cZ tptp.a) % 0.38/0.57 (define @t1 () (not (= tptp.u tptp.cZ))) % 0.38/0.57 (define @t2 () (_ (_ tptp.cP tptp.x) tptp.y)) % 0.38/0.57 (define @t3 () (= tptp.u @t2)) % 0.38/0.57 (define @t4 () (=> @t3 @t1)) % 0.38/0.57 (define @t5 () (@var "Xt" tptp.a)) % 0.38/0.57 (define @t6 () (_ tptp.cR @t5)) % 0.38/0.57 (define @t7 () (_ tptp.cL @t5)) % 0.38/0.57 (define @t8 () (_ (_ tptp.cP @t7) @t6)) % 0.38/0.57 (define @t9 () (= @t5 @t8)) % 0.38/0.57 (define @t10 () (not (= @t5 tptp.cZ))) % 0.38/0.57 (define @t11 () (= @t10 @t9)) % 0.38/0.57 (define @t12 () (@list @t5)) % 0.38/0.57 (define @t13 () (forall @t12 @t11)) % 0.38/0.57 (define @t14 () (@var "Xy0" tptp.a)) % 0.38/0.57 (define @t15 () (@var "Xx0" tptp.a)) % 0.38/0.57 (define @t16 () (_ (_ tptp.cP @t15) @t14)) % 0.38/0.57 (define @t17 () (_ tptp.cR @t16)) % 0.38/0.57 (define @t18 () (@list @t15 @t14)) % 0.38/0.57 (define @t19 () (forall @t18 (= @t17 @t14))) % 0.38/0.57 (define @t20 () (_ tptp.cL @t16)) % 0.38/0.57 (define @t21 () (forall @t18 (= @t20 @t15))) % 0.38/0.57 (define @t22 () (_ tptp.cR tptp.cZ)) % 0.38/0.57 (define @t23 () (_ tptp.cL tptp.cZ)) % 0.38/0.57 (define @t24 () (and (= @t23 tptp.cZ) (= @t22 tptp.cZ) @t21 @t19 @t13)) % 0.38/0.57 (define @t25 () (=> @t24 @t4)) % 0.38/0.57 (define @t26 () (not @t25)) % 0.38/0.57 (define @t27 () (tptp.cP tptp.x tptp.y)) % 0.38/0.57 (define @t28 () (tptp.cR @t5)) % 0.38/0.57 (define @t29 () (tptp.cL @t5)) % 0.38/0.57 (define @t30 () (tptp.cP @t29 @t28)) % 0.38/0.57 (define @t31 () (= @t5 @t30)) % 0.38/0.57 (define @t32 () (forall @t12 (= @t31 (not (= @t5 @t27))))) % 0.38/0.57 (define @t33 () (tptp.cP @t15 @t14)) % 0.38/0.57 (define @t34 () (tptp.cR @t33)) % 0.38/0.57 (define @t35 () (forall @t18 (= @t14 @t34))) % 0.38/0.57 (define @t36 () (tptp.cL @t33)) % 0.38/0.57 (define @t37 () (forall @t18 (= @t15 @t36))) % 0.38/0.57 (define @t38 () (tptp.cR @t27)) % 0.38/0.57 (define @t39 () (_ tptp.cR @t2)) % 0.38/0.57 (define @t40 () (= @t2 @t39)) % 0.38/0.57 (define @t41 () (tptp.cL @t27)) % 0.38/0.57 (define @t42 () (_ tptp.cL @t2)) % 0.38/0.57 (define @t43 () (= @t2 @t42)) % 0.38/0.57 (define @t44 () (and @t43 @t40 @t37 @t35 @t32)) % 0.38/0.57 (define @t45 () (= @t2 @t2)) % 0.38/0.57 (define @t46 () (not @t45)) % 0.38/0.57 (define @t47 () (=> @t45 @t46)) % 0.38/0.57 (define @t48 () (= @t5 @t2)) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (= @t31 @t49)) % 0.38/0.57 (define @t51 () (not (= @t2 @t5))) % 0.38/0.57 (define @t52 () (forall @t12 (= @t51 @t31))) % 0.38/0.57 (define @t53 () (and @t43 @t40 @t37 @t35 @t52)) % 0.38/0.57 (define @t54 () (=> @t53 @t47)) % 0.38/0.57 (define @t55 () (= tptp.cZ @t5)) % 0.38/0.57 (define @t56 () (not @t55)) % 0.38/0.57 (define @t57 () (= @t9 @t56)) % 0.38/0.57 (define @t58 () (= @t14 @t17)) % 0.38/0.57 (define @t59 () (= @t15 @t20)) % 0.38/0.57 (define @t60 () (= tptp.cZ tptp.u)) % 0.38/0.57 (define @t61 () (not @t60)) % 0.38/0.57 (define @t62 () (=> @t3 @t61)) % 0.38/0.57 (define @t63 () (= @t56 @t31)) % 0.38/0.57 (define @t64 () (forall @t12 @t63)) % 0.38/0.57 (define @t65 () (= tptp.cZ @t22)) % 0.38/0.57 (define @t66 () (= tptp.cZ @t23)) % 0.38/0.57 (define @t67 () (and @t66 @t65 @t37 @t35 @t64)) % 0.38/0.57 (define @t68 () (=> @t67 @t62)) % 0.38/0.57 (define @t69 () (@list tptp.x tptp.y)) % 0.38/0.57 (define @t70 () (= @t27 (tptp.cP @t41 @t38))) % 0.38/0.57 (define @t71 () (not (= @t27 @t27))) % 0.38/0.57 (define @t72 () (= @t70 @t71)) % 0.38/0.57 (assume @p1 @t26) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule refl :args (@t32)) % 0.38/0.57 (step @p4 :rule refl :args (@t35)) % 0.38/0.57 (step @p5 :rule refl :args (@t37)) % 0.38/0.57 (step @p6 :rule refl :args ((tptp.cR @t2))) % 0.38/0.57 (step @p7 :rule refl :args (@t27)) % 0.38/0.57 (step @p8 :rule cong :premises (@p7) :args (@t38)) % 0.38/0.57 (step @p9 :rule trans :premises (@p8 @p6)) % 0.38/0.57 (step @p10 :rule refl :args (tptp.cR)) % 0.38/0.57 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ tptp.cR @t27) @t38))) % 0.38/0.57 (step @p13 :rule symm :premises (@p12)) % 0.38/0.57 (step @p14 :rule refl :args (@t39)) % 0.38/0.57 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule refl :args (@t2)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p7) :args ((= @t2 @t27))) % 0.38/0.57 (step @p18 :rule symm :premises (@p17)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.57 (step @p20 :rule refl :args (tptp.cR)) % 0.38/0.57 (step @p21 :rule ho_cong :premises (@p20 @p19)) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p15)) % 0.38/0.57 (step @p23 :rule cong :premises (@p19 @p22) :args (@t40)) % 0.38/0.57 (step @p24 :rule refl :args ((tptp.cL @t2))) % 0.38/0.57 (step @p25 :rule cong :premises (@p7) :args (@t41)) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.57 (step @p27 :rule refl :args (tptp.cL)) % 0.38/0.57 (step @p28 :rule ho_cong :premises (@p27 @p7)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28 @p26) :args ((= (_ tptp.cL @t27) @t41))) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule refl :args (@t42)) % 0.38/0.57 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule refl :args (tptp.cL)) % 0.38/0.57 (step @p34 :rule ho_cong :premises (@p33 @p19)) % 0.38/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.38/0.57 (step @p36 :rule cong :premises (@p19 @p35) :args (@t43)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p23 @p5 @p4 @p3) :args (@t44)) % 0.38/0.57 (step @p38 :rule bool-double-not-elim :args (@t44)) % 0.38/0.57 (step @p39 :rule bool-impl-false1 :args (@t44)) % 0.38/0.57 (step @p40 :rule evaluate :args ((=> true false))) % 0.38/0.57 (step @p41 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p42 :rule eq-refl :args (@t2)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t46)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.57 (step @p45 :rule cong :premises (@p42 @p44) :args (@t47)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p40)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.57 (step @p48 :rule refl :args (@t5)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args (@t48)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t49)) % 0.38/0.57 (step @p51 :rule refl :args (@t31)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51 @p50) :args (@t50)) % 0.38/0.57 (step @p53 :rule cong :premises (@p52) :args ((forall @t12 @t50))) % 0.38/0.57 (step @p54 :rule eq-symm :args (@t2 @t5)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54) :args (@t51)) % 0.38/0.57 (step @p56 :rule refl :args (@t31)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t31 @t51))) % 0.38/0.57 (step @p58 :rule eq-symm :args (@t51 @t31)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t52)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p53)) % 0.38/0.57 (step @p62 :rule refl :args (@t40)) % 0.38/0.57 (step @p63 :rule refl :args (@t43)) % 0.38/0.57 (step @p64 :rule nary_cong :premises (@p63 @p62 @p5 @p4 @p61) :args (@t53)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64 @p46) :args (@t54)) % 0.38/0.57 (step @p66 :rule trans :premises (@p65 @p39)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args ((not @t54))) % 0.38/0.57 (step @p68 :rule trans :premises (@p67 @p38)) % 0.38/0.57 (step @p69 :rule eq-symm :args (tptp.u tptp.cZ)) % 0.38/0.57 (step @p70 :rule cong :premises (@p69) :args (@t1)) % 0.38/0.57 (step @p71 :rule refl :args (@t3)) % 0.38/0.57 (step @p72 :rule cong :premises (@p71 @p70) :args (@t4)) % 0.38/0.57 (step @p73 :rule eq-symm :args (@t31 @t56)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73) :args ((forall @t12 (= @t31 @t56)))) % 0.38/0.57 (step @p75 :rule refl :args (@t56)) % 0.38/0.57 (step @p76 :rule refl :args ((tptp.cP @t7 @t6))) % 0.38/0.57 (step @p77 :rule refl :args (@t28)) % 0.38/0.57 (step @p78 :rule refl :args (@t29)) % 0.38/0.57 (step @p79 :rule cong :premises (@p78 @p77) :args (@t30)) % 0.38/0.57 (step @p80 :rule trans :premises (@p79 @p76)) % 0.38/0.57 (step @p81 :rule refl :args (tptp.cP)) % 0.38/0.57 (step @p82 :rule ho_cong :premises (@p81 @p78)) % 0.38/0.57 (step @p83 :rule ho_cong :premises (@p82 @p77)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83 @p80) :args ((= (_ (_ tptp.cP @t29) @t28) @t30))) % 0.38/0.57 (step @p85 :rule symm :premises (@p84)) % 0.38/0.57 (step @p86 :rule refl :args (@t8)) % 0.38/0.57 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.57 (step @p88 :rule refl :args (@t6)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88 @p77) :args ((= @t6 @t28))) % 0.38/0.57 (step @p90 :rule symm :premises (@p89)) % 0.38/0.57 (step @p91 :rule eq_resolve :premises (@p88 @p90)) % 0.38/0.57 (step @p92 :rule refl :args (@t7)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92 @p78) :args ((= @t7 @t29))) % 0.38/0.57 (step @p94 :rule symm :premises (@p93)) % 0.38/0.57 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.38/0.57 (step @p96 :rule ho_cong :premises (@p81 @p95)) % 0.38/0.57 (step @p97 :rule ho_cong :premises (@p96 @p91)) % 0.38/0.57 (step @p98 :rule trans :premises (@p97 @p87)) % 0.38/0.57 (step @p99 :rule cong :premises (@p48 @p98) :args (@t9)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99 @p75) :args (@t57)) % 0.38/0.57 (step @p101 :rule cong :premises (@p100) :args ((forall @t12 @t57))) % 0.38/0.57 (step @p102 :rule trans :premises (@p101 @p74)) % 0.38/0.57 (step @p103 :rule eq-symm :args (@t56 @t9)) % 0.38/0.57 (step @p104 :rule refl :args (@t9)) % 0.38/0.57 (step @p105 :rule eq-symm :args (@t5 tptp.cZ)) % 0.38/0.57 (step @p106 :rule cong :premises (@p105) :args (@t10)) % 0.38/0.57 (step @p107 :rule cong :premises (@p106 @p104) :args (@t11)) % 0.38/0.57 (step @p108 :rule trans :premises (@p107 @p103)) % 0.38/0.57 (step @p109 :rule cong :premises (@p108) :args (@t13)) % 0.38/0.57 (step @p110 :rule trans :premises (@p109 @p102)) % 0.38/0.57 (step @p111 :rule refl :args ((tptp.cR @t16))) % 0.38/0.57 (step @p112 :rule refl :args (@t33)) % 0.38/0.57 (step @p113 :rule cong :premises (@p112) :args (@t34)) % 0.38/0.57 (step @p114 :rule trans :premises (@p113 @p111)) % 0.38/0.57 (step @p115 :rule ho_cong :premises (@p10 @p112)) % 0.38/0.57 (step @p116 :rule cong :premises (@p115 @p114) :args ((= (_ tptp.cR @t33) @t34))) % 0.38/0.57 (step @p117 :rule symm :premises (@p116)) % 0.38/0.57 (step @p118 :rule refl :args (@t17)) % 0.38/0.57 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.38/0.57 (step @p120 :rule refl :args (@t16)) % 0.38/0.57 (step @p121 :rule cong :premises (@p120 @p112) :args ((= @t16 @t33))) % 0.38/0.57 (step @p122 :rule symm :premises (@p121)) % 0.38/0.57 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.38/0.57 (step @p124 :rule ho_cong :premises (@p10 @p123)) % 0.38/0.57 (step @p125 :rule trans :premises (@p124 @p119)) % 0.38/0.57 (step @p126 :rule refl :args (@t14)) % 0.38/0.57 (step @p127 :rule cong :premises (@p126 @p125) :args (@t58)) % 0.38/0.57 (step @p128 :rule cong :premises (@p127) :args ((forall @t18 @t58))) % 0.38/0.57 (step @p129 :rule eq-symm :args (@t17 @t14)) % 0.38/0.57 (step @p130 :rule cong :premises (@p129) :args (@t19)) % 0.38/0.57 (step @p131 :rule trans :premises (@p130 @p128)) % 0.38/0.57 (step @p132 :rule refl :args ((tptp.cL @t16))) % 0.38/0.57 (step @p133 :rule cong :premises (@p112) :args (@t36)) % 0.38/0.57 (step @p134 :rule trans :premises (@p133 @p132)) % 0.38/0.57 (step @p135 :rule ho_cong :premises (@p27 @p112)) % 0.38/0.57 (step @p136 :rule cong :premises (@p135 @p134) :args ((= (_ tptp.cL @t33) @t36))) % 0.38/0.57 (step @p137 :rule symm :premises (@p136)) % 0.38/0.57 (step @p138 :rule refl :args (@t20)) % 0.38/0.57 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.38/0.57 (step @p140 :rule ho_cong :premises (@p27 @p123)) % 0.38/0.57 (step @p141 :rule trans :premises (@p140 @p139)) % 0.38/0.57 (step @p142 :rule refl :args (@t15)) % 0.38/0.57 (step @p143 :rule cong :premises (@p142 @p141) :args (@t59)) % 0.38/0.57 (step @p144 :rule cong :premises (@p143) :args ((forall @t18 @t59))) % 0.38/0.57 (step @p145 :rule eq-symm :args (@t20 @t15)) % 0.38/0.57 (step @p146 :rule cong :premises (@p145) :args (@t21)) % 0.38/0.57 (step @p147 :rule trans :premises (@p146 @p144)) % 0.38/0.57 (step @p148 :rule eq-symm :args (@t22 tptp.cZ)) % 0.38/0.57 (step @p149 :rule eq-symm :args (@t23 tptp.cZ)) % 0.38/0.57 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p131 @p110) :args (@t24)) % 0.38/0.57 (step @p151 :rule cong :premises (@p150 @p72) :args (@t25)) % 0.38/0.57 (step @p152 :rule cong :premises (@p151) :args (@t26)) % 0.38/0.57 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 0.38/0.57 (step @p154 :rule not_implies_elim2 :premises (@p153)) % 0.38/0.57 (step @p155 :rule not_implies_elim1 :premises (@p154)) % 0.38/0.57 (step @p156 :rule refl :args (tptp.cZ)) % 0.38/0.57 (step @p157 :rule cong :premises (@p156 @p155) :args (@t60)) % 0.38/0.57 (step @p158 :rule not_implies_elim2 :premises (@p154)) % 0.38/0.57 (step @p159 :rule not_not_elim :premises (@p158)) % 0.38/0.57 (step @p160 :rule eq_resolve :premises (@p159 @p157)) % 0.38/0.57 (step @p161 :rule cong :premises (@p160 @p155) :args (@t60)) % 0.38/0.57 (step @p162 :rule cong :premises (@p161) :args (@t61)) % 0.38/0.57 (step @p163 :rule refl :args (@t2)) % 0.38/0.57 (step @p164 :rule cong :premises (@p155 @p163) :args (@t3)) % 0.38/0.57 (step @p165 :rule cong :premises (@p164 @p162) :args (@t62)) % 0.38/0.57 (step @p166 :rule refl :args (@t5)) % 0.38/0.57 (step @p167 :rule cong :premises (@p160 @p166) :args (@t55)) % 0.38/0.57 (step @p168 :rule cong :premises (@p167) :args (@t56)) % 0.38/0.57 (step @p169 :rule cong :premises (@p168 @p56) :args (@t63)) % 0.38/0.57 (step @p170 :rule cong :premises (@p169) :args (@t64)) % 0.38/0.57 (step @p171 :rule ho_cong :premises (@p20 @p160)) % 0.38/0.57 (step @p172 :rule cong :premises (@p160 @p171) :args (@t65)) % 0.38/0.57 (step @p173 :rule ho_cong :premises (@p33 @p160)) % 0.38/0.57 (step @p174 :rule cong :premises (@p160 @p173) :args (@t66)) % 0.38/0.57 (step @p175 :rule nary_cong :premises (@p174 @p172 @p5 @p4 @p170) :args (@t67)) % 0.38/0.57 (step @p176 :rule cong :premises (@p175 @p165) :args (@t68)) % 0.38/0.57 (step @p177 :rule cong :premises (@p176) :args ((not @t68))) % 0.38/0.57 (step @p178 :rule trans :premises (@p177 @p68)) % 0.38/0.57 (step @p179 :rule trans :premises (@p152 @p178 @p37)) % 0.38/0.57 (step @p180 :rule eq_resolve :premises (@p1 @p179)) % 0.38/0.57 (step @p181 :rule and_elim :premises (@p180) :args (4)) % 0.38/0.57 (step @p182 :rule and_elim :premises (@p180) :args (3)) % 0.38/0.57 (step @p183 :rule instantiate :premises (@p182) :args (@t69)) % 0.38/0.57 (step @p184 :rule and_elim :premises (@p180) :args (2)) % 0.38/0.57 (step @p185 :rule instantiate :premises (@p184) :args (@t69)) % 0.38/0.57 (step @p186 :rule cong :premises (@p185 @p183) :args (@t27)) % 0.38/0.57 (step @p187 :rule bool-eq-false :args (@t70)) % 0.38/0.57 (step @p188 :rule eq-refl :args (@t27)) % 0.38/0.57 (step @p189 :rule cong :premises (@p188) :args (@t71)) % 0.38/0.57 (step @p190 :rule trans :premises (@p189 @p41)) % 0.38/0.57 (step @p191 :rule refl :args (@t70)) % 0.38/0.57 (step @p192 :rule cong :premises (@p191 @p190) :args (@t72)) % 0.38/0.57 (step @p193 :rule trans :premises (@p192 @p187)) % 0.38/0.57 (step @p194 :rule cong :premises (@p3 @p193) :args ((=> @t32 @t72))) % 0.38/0.57 (assume-push @p202 @t32) % 0.38/0.57 (step @p196 :rule instantiate :premises (@p181) :args ((@list @t27))) % 0.38/0.57 (step-pop @p203 :rule scope :premises (@p196)) % 0.38/0.57 (step @p197 :rule process_scope :premises (@p203) :args (@t72)) % 0.38/0.57 (step @p199 :rule eq_resolve :premises (@p197 @p194)) % 0.38/0.57 (step @p200 :rule implies_elim :premises (@p199)) % 0.38/0.57 (step @p201 false :rule chain_m_resolution :premises (@p200 @p186 @p181) :args (false (@list false false) (@list @t70 @t32))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------