%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP267^3 : 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 : n024.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 08:37:19 AM UTC 2026 % Result : Theorem 0.15s 0.38s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NLP267^3 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 05:17:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.38 % SZS status Theorem % 0.15/0.38 % SZS output start Proof % 0.15/0.38 ( % 0.15/0.38 (declare-sort $$unsorted 0) % 0.15/0.38 (declare-sort tptp.mworld 0) % 0.15/0.38 (declare-const tptp.mactual tptp.mworld) % 0.15/0.38 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.15/0.38 (declare-const tptp.second $$unsorted) % 0.15/0.38 (declare-const tptp.seventy $$unsorted) % 0.15/0.38 (declare-const tptp.dest (-> $$unsorted tptp.mworld Bool)) % 0.15/0.38 (declare-const tptp.paris $$unsorted) % 0.15/0.38 (declare-const tptp.class (-> $$unsorted tptp.mworld Bool)) % 0.15/0.38 (declare-const tptp.first $$unsorted) % 0.15/0.38 (declare-const tptp.price (-> $$unsorted tptp.mworld Bool)) % 0.15/0.38 (declare-const tptp.ninetyfive $$unsorted) % 0.15/0.38 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.15/0.38 (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)))))) % 0.15/0.38 (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))))))) % 0.15/0.38 (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))))))) % 0.15/0.38 (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))))))) % 0.15/0.38 (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))))))) % 0.15/0.38 (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)))))))) % 0.15/0.38 (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)))))))) % 0.15/0.38 (define @t1 () (@var "V" tptp.mworld)) % 0.15/0.38 (define @t2 () (@var "W" tptp.mworld)) % 0.15/0.38 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 0.15/0.38 (define @t4 () (@list @t1)) % 0.15/0.38 (define @t5 () (@list @t2)) % 0.15/0.38 (define @t6 () (_ tptp.price tptp.ninetyfive)) % 0.15/0.38 (define @t7 () (_ tptp.class tptp.first)) % 0.15/0.38 (define @t8 () (_ tptp.dest tptp.paris)) % 0.15/0.38 (define @t9 () (_ tptp.mand @t8)) % 0.15/0.38 (define @t10 () (_ tptp.price tptp.seventy)) % 0.15/0.38 (define @t11 () (_ tptp.class tptp.second)) % 0.15/0.38 (define @t12 () (not (_ tptp.mlocal (_ tptp.mbox @t10)))) % 0.15/0.38 (define @t13 () (@var "Phi" (-> tptp.mworld Bool))) % 0.15/0.38 (define @t14 () (lambda (@list @t13) (_ @t13 tptp.mactual))) % 0.15/0.38 (define @t15 () (@var "A" (-> tptp.mworld Bool))) % 0.15/0.38 (define @t16 () (_ @t15 @t2)) % 0.15/0.38 (define @t17 () (lambda (@list @t15 @t2) (not @t16))) % 0.15/0.38 (define @t18 () (@var "B" (-> tptp.mworld Bool))) % 0.15/0.38 (define @t19 () (_ @t18 @t2)) % 0.15/0.38 (define @t20 () (@list @t15 @t18 @t2)) % 0.15/0.38 (define @t21 () (lambda @t20 (and @t16 @t19))) % 0.15/0.38 (define @t22 () (lambda @t20 (or @t16 @t19))) % 0.15/0.38 (define @t23 () (lambda @t20 (=> @t16 @t19))) % 0.15/0.38 (define @t24 () (lambda @t20 (= @t16 @t19))) % 0.15/0.38 (define @t25 () (_ @t13 @t1)) % 0.15/0.38 (define @t26 () (forall @t4 (=> @t3 @t25))) % 0.15/0.38 (define @t27 () (@list @t13 @t2)) % 0.15/0.38 (define @t28 () (lambda @t27 @t26)) % 0.15/0.38 (define @t29 () (lambda @t27 (exists @t4 (and @t3 @t25)))) % 0.15/0.38 (define @t30 () (tptp.price tptp.seventy @t1)) % 0.15/0.38 (define @t31 () (not (tptp.mrel tptp.mactual @t1))) % 0.15/0.38 (define @t32 () (forall @t4 (or @t31 @t30))) % 0.15/0.38 (define @t33 () (tptp.mrel @t2 @t1)) % 0.15/0.38 (define @t34 () (not @t33)) % 0.15/0.38 (define @t35 () (lambda @t5 (forall @t4 (or @t34 @t30)))) % 0.15/0.38 (define @t36 () (_ @t35 tptp.mactual)) % 0.15/0.38 (define @t37 () (_ @t10 @t1)) % 0.15/0.38 (define @t38 () (or @t34 @t37)) % 0.15/0.38 (define @t39 () (_ @t10 @t1)) % 0.15/0.38 (define @t40 () (or @t34 @t39)) % 0.15/0.38 (define @t41 () (forall @t4 @t40)) % 0.15/0.38 (define @t42 () (lambda @t5 @t41)) % 0.15/0.38 (define @t43 () (_ @t13 @t1)) % 0.15/0.38 (define @t44 () (lambda @t27 (forall @t4 (or @t34 @t43)))) % 0.15/0.38 (define @t45 () (_ @t44 @t10)) % 0.15/0.38 (define @t46 () (not @t3)) % 0.15/0.38 (define @t47 () (or @t46 @t25)) % 0.15/0.38 (define @t48 () (@quantifiers_skolemize @t32 0)) % 0.15/0.38 (define @t49 () (tptp.mrel tptp.mactual @t48)) % 0.15/0.38 (define @t50 () (tptp.price tptp.seventy @t48)) % 0.15/0.38 (define @t51 () (not @t49)) % 0.15/0.38 (define @t52 () (or @t51 @t50)) % 0.15/0.38 (define @t53 () (@list true)) % 0.15/0.38 (define @t54 () (@list @t52)) % 0.15/0.38 (define @t55 () (tptp.class tptp.second @t1)) % 0.15/0.38 (define @t56 () (not @t55)) % 0.15/0.38 (define @t57 () (tptp.dest tptp.paris @t1)) % 0.15/0.38 (define @t58 () (not @t57)) % 0.15/0.38 (define @t59 () (lambda @t5 (forall @t4 (or @t34 @t58 @t56 @t30)))) % 0.15/0.38 (define @t60 () (_ @t59 tptp.mactual)) % 0.15/0.38 (define @t61 () (_ @t11 @t1)) % 0.15/0.38 (define @t62 () (not @t61)) % 0.15/0.38 (define @t63 () (_ @t8 @t1)) % 0.15/0.38 (define @t64 () (not @t63)) % 0.15/0.38 (define @t65 () (or @t34 @t64 @t62 @t37)) % 0.15/0.38 (define @t66 () (or @t64 @t62 @t37)) % 0.15/0.38 (define @t67 () (and @t63 @t61)) % 0.15/0.38 (define @t68 () (=> @t67 @t37)) % 0.15/0.38 (define @t69 () (or @t34 @t68)) % 0.15/0.38 (define @t70 () (_ @t8 @t2)) % 0.15/0.38 (define @t71 () (and @t70 (_ @t11 @t2))) % 0.15/0.38 (define @t72 () (lambda @t5 (=> @t71 (_ @t10 @t2)))) % 0.15/0.38 (define @t73 () (_ @t72 @t1)) % 0.15/0.38 (define @t74 () (or @t34 @t73)) % 0.15/0.38 (define @t75 () (forall @t4 @t74)) % 0.15/0.38 (define @t76 () (lambda @t5 @t75)) % 0.15/0.38 (define @t77 () (@list @t18 @t2)) % 0.15/0.38 (define @t78 () (lambda @t5 @t71)) % 0.15/0.38 (define @t79 () (_ @t78 @t2)) % 0.15/0.38 (define @t80 () (=> @t79 @t19)) % 0.15/0.38 (define @t81 () (lambda @t77 @t80)) % 0.15/0.38 (define @t82 () (lambda @t77 (and @t70 @t19))) % 0.15/0.38 (define @t83 () (@list @t48)) % 0.15/0.38 (define @t84 () (lambda @t5 (forall @t4 (or @t34 @t57)))) % 0.15/0.38 (define @t85 () (_ @t84 tptp.mactual)) % 0.15/0.38 (define @t86 () (or @t34 @t63)) % 0.15/0.38 (define @t87 () (_ @t8 @t1)) % 0.15/0.38 (define @t88 () (or @t34 @t87)) % 0.15/0.38 (define @t89 () (forall @t4 @t88)) % 0.15/0.38 (define @t90 () (lambda @t5 @t89)) % 0.15/0.38 (define @t91 () (tptp.dest tptp.paris @t48)) % 0.15/0.38 (define @t92 () (or @t51 @t91)) % 0.15/0.38 (define @t93 () (@list false false)) % 0.15/0.38 (define @t94 () (lambda @t5 (forall @t4 (or @t34 @t55)))) % 0.15/0.38 (define @t95 () (_ @t94 tptp.mactual)) % 0.15/0.38 (define @t96 () (or @t34 @t61)) % 0.15/0.38 (define @t97 () (_ @t11 @t1)) % 0.15/0.38 (define @t98 () (or @t34 @t97)) % 0.15/0.38 (define @t99 () (forall @t4 @t98)) % 0.15/0.38 (define @t100 () (lambda @t5 @t99)) % 0.15/0.38 (define @t101 () (tptp.class tptp.second @t48)) % 0.15/0.38 (define @t102 () (or @t51 @t101)) % 0.15/0.38 (define @t103 () (not @t101)) % 0.15/0.38 (define @t104 () (not @t91)) % 0.15/0.38 (define @t105 () (or @t51 @t104 @t103 @t50)) % 0.15/0.38 (assume @p1 (forall @t5 (exists @t4 @t3))) % 0.15/0.38 (assume @p2 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t9 @t7)) @t6)))) % 0.15/0.38 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t9 @t11)) @t10)))) % 0.15/0.38 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t7) @t11))))) % 0.15/0.38 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t6) @t10))))) % 0.15/0.38 (assume @p6 (_ tptp.mlocal (_ tptp.mbox @t8))) % 0.15/0.38 (assume @p7 (_ tptp.mlocal (_ tptp.mbox @t11))) % 0.15/0.38 (assume @p8 @t12) % 0.15/0.38 (assume @p9 true) % 0.15/0.38 (step @p10 (= tptp.mlocal @t14) :rule refl :args (@t14)) % 0.15/0.38 (step @p11 (= tptp.mnot @t17) :rule refl :args (@t17)) % 0.15/0.38 (step @p12 (= tptp.mand @t21) :rule refl :args (@t21)) % 0.15/0.38 (step @p13 (= tptp.mor @t22) :rule refl :args (@t22)) % 0.15/0.38 (step @p14 (= tptp.mimplies @t23) :rule refl :args (@t23)) % 0.15/0.38 (step @p15 (= tptp.mequiv @t24) :rule refl :args (@t24)) % 0.15/0.38 (step @p16 (= tptp.mbox @t28) :rule refl :args (@t28)) % 0.15/0.38 (step @p17 (= tptp.mdia @t29) :rule refl :args (@t29)) % 0.15/0.38 (step @p18 :rule beta-reduce :args ((= @t36 @t32))) % 0.15/0.38 (step @p19 :rule beta-reduce :args ((= (_ @t14 @t35) @t36))) % 0.15/0.38 (step @p20 :rule trans :premises (@p19 @p18)) % 0.15/0.38 (step @p21 :rule refl :args (@t30)) % 0.15/0.38 (step @p22 :rule refl :args (@t37)) % 0.15/0.38 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t37 @t30))) % 0.15/0.38 (step @p24 :rule symm :premises (@p23)) % 0.15/0.38 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.15/0.38 (step @p26 :rule refl :args (@t34)) % 0.15/0.38 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t38)) % 0.15/0.38 (step @p28 :rule cong :premises (@p27) :args ((forall @t4 @t38))) % 0.15/0.38 (step @p29 :rule refl :args (@t39)) % 0.15/0.38 (step @p30 :rule refl :args (@t34)) % 0.15/0.38 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t40)) % 0.15/0.38 (step @p32 :rule cong :premises (@p31) :args (@t41)) % 0.15/0.38 (step @p33 :rule trans :premises (@p32 @p28)) % 0.15/0.38 (step @p34 :rule cong :premises (@p33) :args (@t42)) % 0.15/0.38 (step @p35 :rule beta-reduce :args ((= @t45 @t42))) % 0.15/0.38 (step @p36 :rule trans :premises (@p35 @p34)) % 0.15/0.38 (step @p37 :rule refl :args (@t14)) % 0.15/0.38 (step @p38 :rule ho_cong :premises (@p37 @p36)) % 0.15/0.38 (step @p39 :rule trans :premises (@p38 @p20)) % 0.15/0.38 (step @p40 :rule cong :premises (@p39) :args ((not (_ @t14 @t45)))) % 0.15/0.38 (step @p41 :rule refl :args (@t10)) % 0.15/0.38 (step @p42 :rule refl :args (@t43)) % 0.15/0.38 (step @p43 :rule refl :args (@t25)) % 0.15/0.38 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t25 @t43))) % 0.15/0.38 (step @p45 :rule symm :premises (@p44)) % 0.15/0.38 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.15/0.38 (step @p47 :rule refl :args (@t33)) % 0.15/0.38 (step @p48 :rule refl :args (@t3)) % 0.15/0.38 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t3 @t33))) % 0.15/0.38 (step @p50 :rule symm :premises (@p49)) % 0.15/0.38 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.15/0.38 (step @p52 :rule cong :premises (@p51) :args (@t46)) % 0.15/0.38 (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t47)) % 0.15/0.38 (step @p54 :rule cong :premises (@p53) :args ((forall @t4 @t47))) % 0.15/0.38 (step @p55 :rule bool-impl-elim :args (@t3 @t25)) % 0.15/0.38 (step @p56 :rule cong :premises (@p55) :args (@t26)) % 0.15/0.38 (step @p57 :rule trans :premises (@p56 @p54)) % 0.15/0.38 (step @p58 :rule cong :premises (@p57) :args (@t28)) % 0.15/0.38 (step @p59 :rule trans :premises (@p16 @p58)) % 0.15/0.38 (step @p60 :rule ho_cong :premises (@p59 @p41)) % 0.15/0.38 (step @p61 :rule ho_cong :premises (@p10 @p60)) % 0.15/0.38 (step @p62 :rule cong :premises (@p61) :args (@t12)) % 0.15/0.38 (step @p63 :rule trans :premises (@p62 @p40)) % 0.15/0.38 (step @p64 :rule eq_resolve :premises (@p8 @p63)) % 0.15/0.38 (step @p65 :rule skolemize :premises (@p64)) % 0.15/0.38 (step @p66 :rule bool-double-not-elim :args (@t49)) % 0.15/0.38 (step @p67 :rule refl :args (@t52)) % 0.15/0.38 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t52 (not @t51)))) % 0.15/0.38 (step @p69 :rule cnf_or_neg :args (@t52 0)) % 0.15/0.38 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.15/0.38 (step @p71 :rule reordering :premises (@p70) :args ((or @t49 @t52))) % 0.15/0.38 (step @p72 :rule chain_m_resolution :premises (@p71 @p65) :args (@t49 @t53 @t54)) % 0.15/0.38 (step @p73 :rule cnf_or_neg :args (@t52 1)) % 0.15/0.38 (step @p74 :rule chain_m_resolution :premises (@p73 @p65) :args ((not @t50) @t53 @t54)) % 0.15/0.38 (step @p75 :rule beta-reduce :args ((= @t60 (forall @t4 (or @t31 @t58 @t56 @t30))))) % 0.15/0.38 (step @p76 :rule beta-reduce :args ((= (_ @t14 @t59) @t60))) % 0.15/0.38 (step @p77 :rule trans :premises (@p76 @p75)) % 0.15/0.38 (step @p78 :rule refl :args (@t55)) % 0.15/0.38 (step @p79 :rule refl :args (@t61)) % 0.15/0.38 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t61 @t55))) % 0.15/0.38 (step @p81 :rule symm :premises (@p80)) % 0.15/0.38 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.15/0.38 (step @p83 :rule cong :premises (@p82) :args (@t62)) % 0.15/0.38 (step @p84 :rule refl :args (@t57)) % 0.15/0.38 (step @p85 :rule refl :args (@t63)) % 0.15/0.38 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t63 @t57))) % 0.15/0.38 (step @p87 :rule symm :premises (@p86)) % 0.15/0.38 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 0.15/0.38 (step @p89 :rule cong :premises (@p88) :args (@t64)) % 0.15/0.38 (step @p90 :rule nary_cong :premises (@p26 @p89 @p83 @p25) :args (@t65)) % 0.15/0.38 (step @p91 :rule cong :premises (@p90) :args ((forall @t4 @t65))) % 0.15/0.38 (step @p92 :rule aci_norm :args ((= (or @t34 @t66) @t65))) % 0.15/0.38 (step @p93 :rule aci_norm :args ((= (or (or @t64 @t62) @t37) @t66))) % 0.15/0.38 (step @p94 :rule bool-and-de-morgan :args (@t63 @t61 true)) % 0.15/0.38 (step @p95 :rule nary_cong :premises (@p94 @p22) :args ((or (not @t67) @t37))) % 0.15/0.38 (step @p96 :rule trans :premises (@p95 @p93)) % 0.15/0.38 (step @p97 :rule bool-impl-elim :args (@t67 @t37)) % 0.15/0.38 (step @p98 :rule trans :premises (@p97 @p96)) % 0.15/0.38 (step @p99 :rule nary_cong :premises (@p26 @p98) :args (@t69)) % 0.15/0.38 (step @p100 :rule trans :premises (@p99 @p92)) % 0.15/0.38 (step @p101 :rule cong :premises (@p100) :args ((forall @t4 @t69))) % 0.15/0.38 (step @p102 :rule trans :premises (@p101 @p91)) % 0.15/0.38 (step @p103 :rule beta-reduce :args ((= @t73 @t68))) % 0.15/0.38 (step @p104 :rule nary_cong :premises (@p30 @p103) :args (@t74)) % 0.15/0.38 (step @p105 :rule cong :premises (@p104) :args (@t75)) % 0.15/0.38 (step @p106 :rule trans :premises (@p105 @p102)) % 0.15/0.38 (step @p107 :rule cong :premises (@p106) :args (@t76)) % 0.15/0.38 (step @p108 :rule beta-reduce :args ((= (_ @t44 @t72) @t76))) % 0.15/0.38 (step @p109 :rule trans :premises (@p108 @p107)) % 0.15/0.38 (step @p110 :rule beta-reduce :args ((= (_ (lambda @t77 (=> @t71 @t19)) @t10) @t72))) % 0.15/0.38 (step @p111 :rule refl :args (@t19)) % 0.15/0.38 (step @p112 :rule beta-reduce :args ((= @t79 @t71))) % 0.15/0.38 (step @p113 :rule cong :premises (@p112 @p111) :args (@t80)) % 0.15/0.38 (step @p114 :rule cong :premises (@p113) :args (@t81)) % 0.15/0.38 (step @p115 :rule beta-reduce :args ((= (_ @t23 @t78) @t81))) % 0.15/0.38 (step @p116 :rule trans :premises (@p115 @p114)) % 0.15/0.38 (step @p117 :rule beta-reduce :args ((= (_ @t82 @t11) @t78))) % 0.15/0.38 (step @p118 :rule refl :args (@t11)) % 0.15/0.38 (step @p119 :rule beta-reduce :args ((= (_ @t21 @t8) @t82))) % 0.15/0.38 (step @p120 :rule ho_cong :premises (@p119 @p118)) % 0.15/0.38 (step @p121 :rule trans :premises (@p120 @p117)) % 0.15/0.38 (step @p122 :rule refl :args (@t23)) % 0.15/0.38 (step @p123 :rule ho_cong :premises (@p122 @p121)) % 0.15/0.38 (step @p124 :rule trans :premises (@p123 @p116)) % 0.15/0.38 (step @p125 :rule ho_cong :premises (@p124 @p41)) % 0.15/0.38 (step @p126 :rule trans :premises (@p125 @p110)) % 0.15/0.38 (step @p127 :rule refl :args (@t44)) % 0.15/0.38 (step @p128 :rule ho_cong :premises (@p127 @p126)) % 0.15/0.38 (step @p129 :rule trans :premises (@p128 @p109)) % 0.15/0.38 (step @p130 :rule ho_cong :premises (@p37 @p129)) % 0.15/0.38 (step @p131 :rule trans :premises (@p130 @p77)) % 0.15/0.38 (step @p132 :rule refl :args (@t8)) % 0.15/0.38 (step @p133 :rule ho_cong :premises (@p12 @p132)) % 0.15/0.38 (step @p134 :rule ho_cong :premises (@p133 @p118)) % 0.15/0.38 (step @p135 :rule ho_cong :premises (@p14 @p134)) % 0.15/0.38 (step @p136 :rule ho_cong :premises (@p135 @p41)) % 0.15/0.38 (step @p137 :rule ho_cong :premises (@p59 @p136)) % 0.15/0.38 (step @p138 :rule ho_cong :premises (@p10 @p137)) % 0.15/0.38 (step @p139 :rule trans :premises (@p138 @p131)) % 0.15/0.38 (step @p140 :rule eq_resolve :premises (@p3 @p139)) % 0.15/0.38 (step @p141 :rule instantiate :premises (@p140) :args (@t83)) % 0.15/0.38 (step @p142 :rule beta-reduce :args ((= @t85 (forall @t4 (or @t31 @t57))))) % 0.15/0.38 (step @p143 :rule beta-reduce :args ((= (_ @t14 @t84) @t85))) % 0.15/0.38 (step @p144 :rule trans :premises (@p143 @p142)) % 0.15/0.38 (step @p145 :rule nary_cong :premises (@p26 @p88) :args (@t86)) % 0.15/0.38 (step @p146 :rule cong :premises (@p145) :args ((forall @t4 @t86))) % 0.15/0.38 (step @p147 :rule refl :args (@t87)) % 0.15/0.38 (step @p148 :rule nary_cong :premises (@p30 @p147) :args (@t88)) % 0.15/0.38 (step @p149 :rule cong :premises (@p148) :args (@t89)) % 0.15/0.38 (step @p150 :rule trans :premises (@p149 @p146)) % 0.15/0.38 (step @p151 :rule cong :premises (@p150) :args (@t90)) % 0.15/0.38 (step @p152 :rule beta-reduce :args ((= (_ @t44 @t8) @t90))) % 0.15/0.38 (step @p153 :rule trans :premises (@p152 @p151)) % 0.15/0.38 (step @p154 :rule ho_cong :premises (@p37 @p153)) % 0.15/0.38 (step @p155 :rule trans :premises (@p154 @p144)) % 0.15/0.38 (step @p156 :rule ho_cong :premises (@p59 @p132)) % 0.15/0.38 (step @p157 :rule ho_cong :premises (@p10 @p156)) % 0.15/0.38 (step @p158 :rule trans :premises (@p157 @p155)) % 0.15/0.38 (step @p159 :rule eq_resolve :premises (@p6 @p158)) % 0.15/0.38 (step @p160 :rule instantiate :premises (@p159) :args (@t83)) % 0.15/0.38 (step @p161 :rule cnf_or_pos :args (@t92)) % 0.15/0.38 (step @p162 :rule reordering :premises (@p161) :args ((or @t51 @t91 (not @t92)))) % 0.15/0.38 (step @p163 :rule chain_m_resolution :premises (@p162 @p72 @p160) :args (@t91 @t93 (@list @t49 @t92))) % 0.15/0.38 (step @p164 :rule beta-reduce :args ((= @t95 (forall @t4 (or @t31 @t55))))) % 0.15/0.38 (step @p165 :rule beta-reduce :args ((= (_ @t14 @t94) @t95))) % 0.15/0.38 (step @p166 :rule trans :premises (@p165 @p164)) % 0.15/0.38 (step @p167 :rule nary_cong :premises (@p26 @p82) :args (@t96)) % 0.15/0.38 (step @p168 :rule cong :premises (@p167) :args ((forall @t4 @t96))) % 0.15/0.38 (step @p169 :rule refl :args (@t97)) % 0.15/0.38 (step @p170 :rule nary_cong :premises (@p30 @p169) :args (@t98)) % 0.15/0.38 (step @p171 :rule cong :premises (@p170) :args (@t99)) % 0.15/0.38 (step @p172 :rule trans :premises (@p171 @p168)) % 0.15/0.38 (step @p173 :rule cong :premises (@p172) :args (@t100)) % 0.15/0.38 (step @p174 :rule beta-reduce :args ((= (_ @t44 @t11) @t100))) % 0.15/0.38 (step @p175 :rule trans :premises (@p174 @p173)) % 0.15/0.38 (step @p176 :rule ho_cong :premises (@p37 @p175)) % 0.15/0.38 (step @p177 :rule trans :premises (@p176 @p166)) % 0.15/0.38 (step @p178 :rule ho_cong :premises (@p59 @p118)) % 0.15/0.38 (step @p179 :rule ho_cong :premises (@p10 @p178)) % 0.15/0.38 (step @p180 :rule trans :premises (@p179 @p177)) % 0.15/0.38 (step @p181 :rule eq_resolve :premises (@p7 @p180)) % 0.15/0.38 (step @p182 :rule instantiate :premises (@p181) :args (@t83)) % 0.15/0.38 (step @p183 :rule cnf_or_pos :args (@t102)) % 0.15/0.38 (step @p184 :rule reordering :premises (@p183) :args ((or @t51 @t101 (not @t102)))) % 0.15/0.38 (step @p185 :rule chain_m_resolution :premises (@p184 @p72 @p182) :args (@t101 @t93 (@list @t49 @t102))) % 0.15/0.38 (step @p186 :rule cnf_or_pos :args (@t105)) % 0.15/0.38 (step @p187 :rule reordering :premises (@p186) :args ((or @t51 @t50 @t104 @t103 (not @t105)))) % 0.15/0.38 (step @p188 false :rule chain_m_resolution :premises (@p187 @p185 @p163 @p141 @p74 @p72) :args (false (@list false false false true false) (@list @t101 @t91 @t105 @t50 @t49))) % 0.15/0.38 ) % 0.15/0.38 % SZS output end Proof % 0.15/0.38 % cvc5 exiting %------------------------------------------------------------------------------