%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP267^2 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:37:18 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 : NLP267^2 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 : Tue Jun 2 10:17:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----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 $$unsorted 0) % 0.38/0.57 (declare-sort tptp.mworld 0) % 0.38/0.57 (declare-const tptp.mactual tptp.mworld) % 0.38/0.57 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.38/0.57 (declare-const tptp.second $$unsorted) % 0.38/0.57 (declare-const tptp.seventy $$unsorted) % 0.38/0.57 (declare-const tptp.dest (-> $$unsorted tptp.mworld Bool)) % 0.38/0.57 (declare-const tptp.paris $$unsorted) % 0.38/0.57 (declare-const tptp.class (-> $$unsorted tptp.mworld Bool)) % 0.38/0.57 (declare-const tptp.first $$unsorted) % 0.38/0.57 (declare-const tptp.price (-> $$unsorted tptp.mworld Bool)) % 0.38/0.57 (declare-const tptp.ninetyfive $$unsorted) % 0.38/0.57 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.38/0.57 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.38/0.57 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.38/0.57 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.38/0.57 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 0.38/0.57 (define @t1 () (@var "W" tptp.mworld)) % 0.38/0.57 (define @t2 () (_ tptp.mrel @t1)) % 0.38/0.57 (define @t3 () (@list @t1)) % 0.38/0.57 (define @t4 () (_ tptp.price tptp.ninetyfive)) % 0.38/0.57 (define @t5 () (_ tptp.class tptp.first)) % 0.38/0.57 (define @t6 () (_ tptp.dest tptp.paris)) % 0.38/0.57 (define @t7 () (_ tptp.mand @t6)) % 0.38/0.57 (define @t8 () (_ tptp.price tptp.seventy)) % 0.38/0.57 (define @t9 () (_ tptp.class tptp.second)) % 0.38/0.57 (define @t10 () (not (_ tptp.mlocal (_ tptp.mbox @t8)))) % 0.38/0.57 (define @t11 () (@var "Phi" (-> tptp.mworld Bool))) % 0.38/0.57 (define @t12 () (lambda (@list @t11) (_ @t11 tptp.mactual))) % 0.38/0.57 (define @t13 () (@var "A" (-> tptp.mworld Bool))) % 0.38/0.57 (define @t14 () (_ @t13 @t1)) % 0.38/0.57 (define @t15 () (lambda (@list @t13 @t1) (not @t14))) % 0.38/0.57 (define @t16 () (@var "B" (-> tptp.mworld Bool))) % 0.38/0.57 (define @t17 () (_ @t16 @t1)) % 0.38/0.57 (define @t18 () (@list @t13 @t16 @t1)) % 0.38/0.57 (define @t19 () (lambda @t18 (and @t14 @t17))) % 0.38/0.57 (define @t20 () (lambda @t18 (or @t14 @t17))) % 0.38/0.57 (define @t21 () (lambda @t18 (=> @t14 @t17))) % 0.38/0.57 (define @t22 () (lambda @t18 (= @t14 @t17))) % 0.38/0.57 (define @t23 () (@var "V" tptp.mworld)) % 0.38/0.57 (define @t24 () (_ @t11 @t23)) % 0.38/0.57 (define @t25 () (_ @t2 @t23)) % 0.38/0.57 (define @t26 () (@list @t23)) % 0.38/0.57 (define @t27 () (forall @t26 (=> @t25 @t24))) % 0.38/0.57 (define @t28 () (@list @t11 @t1)) % 0.38/0.57 (define @t29 () (lambda @t28 @t27)) % 0.38/0.57 (define @t30 () (lambda @t28 (exists @t26 (and @t25 @t24)))) % 0.38/0.57 (define @t31 () (tptp.price tptp.seventy @t23)) % 0.38/0.57 (define @t32 () (not (tptp.mrel tptp.mactual @t23))) % 0.38/0.57 (define @t33 () (forall @t26 (or @t32 @t31))) % 0.38/0.57 (define @t34 () (tptp.mrel @t1 @t23)) % 0.38/0.57 (define @t35 () (not @t34)) % 0.38/0.57 (define @t36 () (lambda @t3 (forall @t26 (or @t35 @t31)))) % 0.38/0.57 (define @t37 () (_ @t36 tptp.mactual)) % 0.38/0.57 (define @t38 () (_ @t8 @t23)) % 0.38/0.57 (define @t39 () (or @t35 @t38)) % 0.38/0.57 (define @t40 () (_ @t8 @t23)) % 0.38/0.57 (define @t41 () (or @t35 @t40)) % 0.38/0.57 (define @t42 () (forall @t26 @t41)) % 0.38/0.57 (define @t43 () (lambda @t3 @t42)) % 0.38/0.57 (define @t44 () (_ @t11 @t23)) % 0.38/0.57 (define @t45 () (lambda @t28 (forall @t26 (or @t35 @t44)))) % 0.38/0.57 (define @t46 () (_ @t45 @t8)) % 0.38/0.57 (define @t47 () (not @t25)) % 0.38/0.57 (define @t48 () (or @t47 @t24)) % 0.38/0.57 (define @t49 () (@quantifiers_skolemize @t33 0)) % 0.38/0.57 (define @t50 () (tptp.mrel tptp.mactual @t49)) % 0.38/0.57 (define @t51 () (tptp.price tptp.seventy @t49)) % 0.38/0.57 (define @t52 () (not @t50)) % 0.38/0.57 (define @t53 () (or @t52 @t51)) % 0.38/0.57 (define @t54 () (@list true)) % 0.38/0.57 (define @t55 () (@list @t53)) % 0.38/0.57 (define @t56 () (tptp.class tptp.second @t23)) % 0.38/0.57 (define @t57 () (not @t56)) % 0.38/0.57 (define @t58 () (tptp.dest tptp.paris @t23)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (lambda @t3 (forall @t26 (or @t35 @t59 @t57 @t31)))) % 0.38/0.57 (define @t61 () (_ @t60 tptp.mactual)) % 0.38/0.57 (define @t62 () (_ @t9 @t23)) % 0.38/0.57 (define @t63 () (not @t62)) % 0.38/0.57 (define @t64 () (_ @t6 @t23)) % 0.38/0.57 (define @t65 () (not @t64)) % 0.38/0.57 (define @t66 () (or @t35 @t65 @t63 @t38)) % 0.38/0.57 (define @t67 () (or @t65 @t63 @t38)) % 0.38/0.57 (define @t68 () (and @t64 @t62)) % 0.38/0.57 (define @t69 () (=> @t68 @t38)) % 0.38/0.57 (define @t70 () (or @t35 @t69)) % 0.38/0.57 (define @t71 () (_ @t6 @t1)) % 0.38/0.57 (define @t72 () (and @t71 (_ @t9 @t1))) % 0.38/0.57 (define @t73 () (lambda @t3 (=> @t72 (_ @t8 @t1)))) % 0.38/0.57 (define @t74 () (_ @t73 @t23)) % 0.38/0.57 (define @t75 () (or @t35 @t74)) % 0.38/0.57 (define @t76 () (forall @t26 @t75)) % 0.38/0.57 (define @t77 () (lambda @t3 @t76)) % 0.38/0.57 (define @t78 () (@list @t16 @t1)) % 0.38/0.57 (define @t79 () (lambda @t3 @t72)) % 0.38/0.57 (define @t80 () (_ @t79 @t1)) % 0.38/0.57 (define @t81 () (=> @t80 @t17)) % 0.38/0.57 (define @t82 () (lambda @t78 @t81)) % 0.38/0.57 (define @t83 () (lambda @t78 (and @t71 @t17))) % 0.38/0.57 (define @t84 () (@list @t49)) % 0.38/0.57 (define @t85 () (lambda @t3 (forall @t26 (or @t35 @t58)))) % 0.38/0.57 (define @t86 () (_ @t85 tptp.mactual)) % 0.38/0.57 (define @t87 () (or @t35 @t64)) % 0.38/0.57 (define @t88 () (_ @t6 @t23)) % 0.38/0.57 (define @t89 () (or @t35 @t88)) % 0.38/0.57 (define @t90 () (forall @t26 @t89)) % 0.38/0.57 (define @t91 () (lambda @t3 @t90)) % 0.38/0.57 (define @t92 () (tptp.dest tptp.paris @t49)) % 0.38/0.57 (define @t93 () (or @t52 @t92)) % 0.38/0.57 (define @t94 () (@list false false)) % 0.38/0.57 (define @t95 () (lambda @t3 (forall @t26 (or @t35 @t56)))) % 0.38/0.57 (define @t96 () (_ @t95 tptp.mactual)) % 0.38/0.57 (define @t97 () (or @t35 @t62)) % 0.38/0.57 (define @t98 () (_ @t9 @t23)) % 0.38/0.57 (define @t99 () (or @t35 @t98)) % 0.38/0.57 (define @t100 () (forall @t26 @t99)) % 0.38/0.57 (define @t101 () (lambda @t3 @t100)) % 0.38/0.57 (define @t102 () (tptp.class tptp.second @t49)) % 0.38/0.57 (define @t103 () (or @t52 @t102)) % 0.38/0.57 (define @t104 () (not @t102)) % 0.38/0.57 (define @t105 () (not @t92)) % 0.38/0.57 (define @t106 () (or @t52 @t105 @t104 @t51)) % 0.38/0.57 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.38/0.57 (assume @p2 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t7 @t5)) @t4)))) % 0.38/0.57 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t7 @t9)) @t8)))) % 0.38/0.57 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t5) @t9))))) % 0.38/0.57 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t4) @t8))))) % 0.38/0.57 (assume @p6 (_ tptp.mlocal (_ tptp.mbox @t6))) % 0.38/0.57 (assume @p7 (_ tptp.mlocal (_ tptp.mbox @t9))) % 0.38/0.57 (assume @p8 @t10) % 0.38/0.57 (assume @p9 true) % 0.38/0.57 (step @p10 (= tptp.mlocal @t12) :rule refl :args (@t12)) % 0.38/0.57 (step @p11 (= tptp.mnot @t15) :rule refl :args (@t15)) % 0.38/0.57 (step @p12 (= tptp.mand @t19) :rule refl :args (@t19)) % 0.38/0.57 (step @p13 (= tptp.mor @t20) :rule refl :args (@t20)) % 0.38/0.57 (step @p14 (= tptp.mimplies @t21) :rule refl :args (@t21)) % 0.38/0.57 (step @p15 (= tptp.mequiv @t22) :rule refl :args (@t22)) % 0.38/0.57 (step @p16 (= tptp.mbox @t29) :rule refl :args (@t29)) % 0.38/0.57 (step @p17 (= tptp.mdia @t30) :rule refl :args (@t30)) % 0.38/0.57 (step @p18 :rule beta-reduce :args ((= @t37 @t33))) % 0.38/0.57 (step @p19 :rule beta-reduce :args ((= (_ @t12 @t36) @t37))) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.57 (step @p21 :rule refl :args (@t31)) % 0.38/0.57 (step @p22 :rule refl :args (@t38)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t38 @t31))) % 0.38/0.57 (step @p24 :rule symm :premises (@p23)) % 0.38/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.38/0.57 (step @p26 :rule refl :args (@t35)) % 0.38/0.57 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t39)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args ((forall @t26 @t39))) % 0.38/0.57 (step @p29 :rule refl :args (@t40)) % 0.38/0.57 (step @p30 :rule refl :args (@t35)) % 0.38/0.57 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t41)) % 0.38/0.57 (step @p32 :rule cong :premises (@p31) :args (@t42)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p28)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args (@t43)) % 0.38/0.57 (step @p35 :rule beta-reduce :args ((= @t46 @t43))) % 0.38/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.57 (step @p37 :rule refl :args (@t12)) % 0.38/0.57 (step @p38 :rule ho_cong :premises (@p37 @p36)) % 0.38/0.57 (step @p39 :rule trans :premises (@p38 @p20)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args ((not (_ @t12 @t46)))) % 0.38/0.57 (step @p41 :rule refl :args (@t8)) % 0.38/0.57 (step @p42 :rule refl :args (@t44)) % 0.38/0.57 (step @p43 :rule refl :args (@t24)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t24 @t44))) % 0.38/0.57 (step @p45 :rule symm :premises (@p44)) % 0.38/0.57 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.57 (step @p47 :rule refl :args (@t34)) % 0.38/0.57 (step @p48 :rule refl :args (@t25)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t25 @t34))) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args (@t47)) % 0.38/0.57 (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t48)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53) :args ((forall @t26 @t48))) % 0.38/0.57 (step @p55 :rule bool-impl-elim :args (@t25 @t24)) % 0.38/0.57 (step @p56 :rule cong :premises (@p55) :args (@t27)) % 0.38/0.57 (step @p57 :rule trans :premises (@p56 @p54)) % 0.38/0.57 (step @p58 :rule cong :premises (@p57) :args (@t29)) % 0.38/0.57 (step @p59 :rule trans :premises (@p16 @p58)) % 0.38/0.57 (step @p60 :rule ho_cong :premises (@p59 @p41)) % 0.38/0.57 (step @p61 :rule ho_cong :premises (@p10 @p60)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args (@t10)) % 0.38/0.57 (step @p63 :rule trans :premises (@p62 @p40)) % 0.38/0.57 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.38/0.57 (step @p65 :rule skolemize :premises (@p64)) % 0.38/0.57 (step @p66 :rule bool-double-not-elim :args (@t50)) % 0.38/0.57 (step @p67 :rule refl :args (@t53)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t53 (not @t52)))) % 0.38/0.57 (step @p69 :rule cnf_or_neg :args (@t53 0)) % 0.38/0.57 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t50 @t53))) % 0.38/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t50 @t54 @t55)) % 0.38/0.57 (step @p73 :rule cnf_or_neg :args (@t53 1)) % 0.38/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p65) :args ((not @t51) @t54 @t55)) % 0.38/0.57 (step @p75 :rule beta-reduce :args ((= @t61 (forall @t26 (or @t32 @t59 @t57 @t31))))) % 0.38/0.57 (step @p76 :rule beta-reduce :args ((= (_ @t12 @t60) @t61))) % 0.38/0.57 (step @p77 :rule trans :premises (@p76 @p75)) % 0.38/0.57 (step @p78 :rule refl :args (@t56)) % 0.38/0.57 (step @p79 :rule refl :args (@t62)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t62 @t56))) % 0.38/0.57 (step @p81 :rule symm :premises (@p80)) % 0.38/0.57 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.38/0.57 (step @p83 :rule cong :premises (@p82) :args (@t63)) % 0.38/0.57 (step @p84 :rule refl :args (@t58)) % 0.38/0.57 (step @p85 :rule refl :args (@t64)) % 0.38/0.57 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t64 @t58))) % 0.38/0.57 (step @p87 :rule symm :premises (@p86)) % 0.38/0.57 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88) :args (@t65)) % 0.38/0.57 (step @p90 :rule nary_cong :premises (@p26 @p89 @p83 @p25) :args (@t66)) % 0.38/0.57 (step @p91 :rule cong :premises (@p90) :args ((forall @t26 @t66))) % 0.38/0.57 (step @p92 :rule aci_norm :args ((= (or @t35 @t67) @t66))) % 0.38/0.57 (step @p93 :rule aci_norm :args ((= (or (or @t65 @t63) @t38) @t67))) % 0.38/0.57 (step @p94 :rule bool-and-de-morgan :args (@t64 @t62 true)) % 0.38/0.57 (step @p95 :rule nary_cong :premises (@p94 @p22) :args ((or (not @t68) @t38))) % 0.38/0.57 (step @p96 :rule trans :premises (@p95 @p93)) % 0.38/0.57 (step @p97 :rule bool-impl-elim :args (@t68 @t38)) % 0.38/0.57 (step @p98 :rule trans :premises (@p97 @p96)) % 0.38/0.57 (step @p99 :rule nary_cong :premises (@p26 @p98) :args (@t70)) % 0.38/0.57 (step @p100 :rule trans :premises (@p99 @p92)) % 0.38/0.57 (step @p101 :rule cong :premises (@p100) :args ((forall @t26 @t70))) % 0.38/0.57 (step @p102 :rule trans :premises (@p101 @p91)) % 0.38/0.57 (step @p103 :rule beta-reduce :args ((= @t74 @t69))) % 0.38/0.57 (step @p104 :rule nary_cong :premises (@p30 @p103) :args (@t75)) % 0.38/0.57 (step @p105 :rule cong :premises (@p104) :args (@t76)) % 0.38/0.57 (step @p106 :rule trans :premises (@p105 @p102)) % 0.38/0.57 (step @p107 :rule cong :premises (@p106) :args (@t77)) % 0.38/0.57 (step @p108 :rule beta-reduce :args ((= (_ @t45 @t73) @t77))) % 0.38/0.57 (step @p109 :rule trans :premises (@p108 @p107)) % 0.38/0.57 (step @p110 :rule beta-reduce :args ((= (_ (lambda @t78 (=> @t72 @t17)) @t8) @t73))) % 0.38/0.57 (step @p111 :rule refl :args (@t17)) % 0.38/0.57 (step @p112 :rule beta-reduce :args ((= @t80 @t72))) % 0.38/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args (@t81)) % 0.38/0.57 (step @p114 :rule cong :premises (@p113) :args (@t82)) % 0.38/0.57 (step @p115 :rule beta-reduce :args ((= (_ @t21 @t79) @t82))) % 0.38/0.57 (step @p116 :rule trans :premises (@p115 @p114)) % 0.38/0.57 (step @p117 :rule beta-reduce :args ((= (_ @t83 @t9) @t79))) % 0.38/0.57 (step @p118 :rule refl :args (@t9)) % 0.38/0.57 (step @p119 :rule beta-reduce :args ((= (_ @t19 @t6) @t83))) % 0.38/0.57 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.38/0.57 (step @p121 :rule trans :premises (@p120 @p117)) % 0.38/0.57 (step @p122 :rule refl :args (@t21)) % 0.38/0.57 (step @p123 :rule ho_cong :premises (@p122 @p121)) % 0.38/0.57 (step @p124 :rule trans :premises (@p123 @p116)) % 0.38/0.57 (step @p125 :rule ho_cong :premises (@p124 @p41)) % 0.38/0.57 (step @p126 :rule trans :premises (@p125 @p110)) % 0.38/0.57 (step @p127 :rule refl :args (@t45)) % 0.38/0.57 (step @p128 :rule ho_cong :premises (@p127 @p126)) % 0.38/0.57 (step @p129 :rule trans :premises (@p128 @p109)) % 0.38/0.57 (step @p130 :rule ho_cong :premises (@p37 @p129)) % 0.38/0.57 (step @p131 :rule trans :premises (@p130 @p77)) % 0.38/0.57 (step @p132 :rule refl :args (@t6)) % 0.38/0.57 (step @p133 :rule ho_cong :premises (@p12 @p132)) % 0.38/0.57 (step @p134 :rule ho_cong :premises (@p133 @p118)) % 0.38/0.57 (step @p135 :rule ho_cong :premises (@p14 @p134)) % 0.38/0.57 (step @p136 :rule ho_cong :premises (@p135 @p41)) % 0.38/0.57 (step @p137 :rule ho_cong :premises (@p59 @p136)) % 0.38/0.57 (step @p138 :rule ho_cong :premises (@p10 @p137)) % 0.38/0.57 (step @p139 :rule trans :premises (@p138 @p131)) % 0.38/0.57 (step @p140 :rule eq_resolve :premises (@p3 @p139)) % 0.38/0.57 (step @p141 :rule instantiate :premises (@p140) :args (@t84)) % 0.38/0.57 (step @p142 :rule beta-reduce :args ((= @t86 (forall @t26 (or @t32 @t58))))) % 0.38/0.57 (step @p143 :rule beta-reduce :args ((= (_ @t12 @t85) @t86))) % 0.38/0.57 (step @p144 :rule trans :premises (@p143 @p142)) % 0.38/0.57 (step @p145 :rule nary_cong :premises (@p26 @p88) :args (@t87)) % 0.38/0.57 (step @p146 :rule cong :premises (@p145) :args ((forall @t26 @t87))) % 0.38/0.57 (step @p147 :rule refl :args (@t88)) % 0.38/0.57 (step @p148 :rule nary_cong :premises (@p30 @p147) :args (@t89)) % 0.38/0.57 (step @p149 :rule cong :premises (@p148) :args (@t90)) % 0.38/0.57 (step @p150 :rule trans :premises (@p149 @p146)) % 0.38/0.57 (step @p151 :rule cong :premises (@p150) :args (@t91)) % 0.38/0.57 (step @p152 :rule beta-reduce :args ((= (_ @t45 @t6) @t91))) % 0.38/0.57 (step @p153 :rule trans :premises (@p152 @p151)) % 0.38/0.57 (step @p154 :rule ho_cong :premises (@p37 @p153)) % 0.38/0.57 (step @p155 :rule trans :premises (@p154 @p144)) % 0.38/0.57 (step @p156 :rule ho_cong :premises (@p59 @p132)) % 0.38/0.57 (step @p157 :rule ho_cong :premises (@p10 @p156)) % 0.38/0.57 (step @p158 :rule trans :premises (@p157 @p155)) % 0.38/0.57 (step @p159 :rule eq_resolve :premises (@p6 @p158)) % 0.38/0.57 (step @p160 :rule instantiate :premises (@p159) :args (@t84)) % 0.38/0.57 (step @p161 :rule cnf_or_pos :args (@t93)) % 0.38/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t52 @t92 (not @t93)))) % 0.38/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p72 @p160) :args (@t92 @t94 (@list @t50 @t93))) % 0.38/0.57 (step @p164 :rule beta-reduce :args ((= @t96 (forall @t26 (or @t32 @t56))))) % 0.38/0.57 (step @p165 :rule beta-reduce :args ((= (_ @t12 @t95) @t96))) % 0.38/0.57 (step @p166 :rule trans :premises (@p165 @p164)) % 0.38/0.57 (step @p167 :rule nary_cong :premises (@p26 @p82) :args (@t97)) % 0.38/0.57 (step @p168 :rule cong :premises (@p167) :args ((forall @t26 @t97))) % 0.38/0.57 (step @p169 :rule refl :args (@t98)) % 0.38/0.57 (step @p170 :rule nary_cong :premises (@p30 @p169) :args (@t99)) % 0.38/0.57 (step @p171 :rule cong :premises (@p170) :args (@t100)) % 0.38/0.57 (step @p172 :rule trans :premises (@p171 @p168)) % 0.38/0.57 (step @p173 :rule cong :premises (@p172) :args (@t101)) % 0.38/0.57 (step @p174 :rule beta-reduce :args ((= (_ @t45 @t9) @t101))) % 0.38/0.57 (step @p175 :rule trans :premises (@p174 @p173)) % 0.38/0.57 (step @p176 :rule ho_cong :premises (@p37 @p175)) % 0.38/0.57 (step @p177 :rule trans :premises (@p176 @p166)) % 0.38/0.57 (step @p178 :rule ho_cong :premises (@p59 @p118)) % 0.38/0.57 (step @p179 :rule ho_cong :premises (@p10 @p178)) % 0.38/0.57 (step @p180 :rule trans :premises (@p179 @p177)) % 0.38/0.57 (step @p181 :rule eq_resolve :premises (@p7 @p180)) % 0.38/0.57 (step @p182 :rule instantiate :premises (@p181) :args (@t84)) % 0.38/0.57 (step @p183 :rule cnf_or_pos :args (@t103)) % 0.38/0.57 (step @p184 :rule reordering :premises (@p183) :args ((or @t52 @t102 (not @t103)))) % 0.38/0.57 (step @p185 :rule chain_m_resolution :premises (@p184 @p72 @p182) :args (@t102 @t94 (@list @t50 @t103))) % 0.38/0.57 (step @p186 :rule cnf_or_pos :args (@t106)) % 0.38/0.57 (step @p187 :rule reordering :premises (@p186) :args ((or @t52 @t51 @t105 @t104 (not @t106)))) % 0.38/0.57 (step @p188 false :rule chain_m_resolution :premises (@p187 @p185 @p163 @p141 @p74 @p72) :args (false (@list false false false true false) (@list @t102 @t92 @t106 @t51 @t50))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------