%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP267^1 : 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 : n012.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 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NLP267^1 : 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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 10:17:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort tptp.mworld 0) % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.mactual tptp.mworld) % 0.16/0.37 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.16/0.37 (declare-const tptp.seventy $$unsorted) % 0.16/0.37 (declare-const tptp.second $$unsorted) % 0.16/0.37 (declare-const tptp.dest (-> $$unsorted tptp.mworld Bool)) % 0.16/0.37 (declare-const tptp.paris $$unsorted) % 0.16/0.37 (declare-const tptp.class (-> $$unsorted tptp.mworld Bool)) % 0.16/0.37 (declare-const tptp.first $$unsorted) % 0.16/0.37 (declare-const tptp.price (-> $$unsorted tptp.mworld Bool)) % 0.16/0.37 (declare-const tptp.ninetyfive $$unsorted) % 0.16/0.37 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.16/0.37 (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)))))) % 0.16/0.37 (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))))))) % 0.16/0.37 (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))))))) % 0.16/0.37 (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))))))) % 0.16/0.37 (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))))))) % 0.16/0.37 (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)))))))) % 0.16/0.37 (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)))))))) % 0.16/0.37 (define @t1 () (_ tptp.price tptp.ninetyfive)) % 0.16/0.37 (define @t2 () (_ tptp.class tptp.first)) % 0.16/0.37 (define @t3 () (_ tptp.dest tptp.paris)) % 0.16/0.37 (define @t4 () (_ tptp.mand @t3)) % 0.16/0.37 (define @t5 () (_ tptp.price tptp.seventy)) % 0.16/0.37 (define @t6 () (_ tptp.class tptp.second)) % 0.16/0.37 (define @t7 () (not (_ tptp.mlocal (_ tptp.mbox @t5)))) % 0.16/0.37 (define @t8 () (@var "Phi" (-> tptp.mworld Bool))) % 0.16/0.37 (define @t9 () (lambda (@list @t8) (_ @t8 tptp.mactual))) % 0.16/0.37 (define @t10 () (@var "W" tptp.mworld)) % 0.16/0.37 (define @t11 () (@var "A" (-> tptp.mworld Bool))) % 0.16/0.37 (define @t12 () (_ @t11 @t10)) % 0.16/0.37 (define @t13 () (lambda (@list @t11 @t10) (not @t12))) % 0.16/0.37 (define @t14 () (@var "B" (-> tptp.mworld Bool))) % 0.16/0.37 (define @t15 () (_ @t14 @t10)) % 0.16/0.37 (define @t16 () (@list @t11 @t14 @t10)) % 0.16/0.37 (define @t17 () (lambda @t16 (and @t12 @t15))) % 0.16/0.37 (define @t18 () (lambda @t16 (or @t12 @t15))) % 0.16/0.37 (define @t19 () (lambda @t16 (=> @t12 @t15))) % 0.16/0.37 (define @t20 () (lambda @t16 (= @t12 @t15))) % 0.16/0.37 (define @t21 () (@var "V" tptp.mworld)) % 0.16/0.37 (define @t22 () (_ @t8 @t21)) % 0.16/0.37 (define @t23 () (_ (_ tptp.mrel @t10) @t21)) % 0.16/0.37 (define @t24 () (@list @t21)) % 0.16/0.37 (define @t25 () (forall @t24 (=> @t23 @t22))) % 0.16/0.37 (define @t26 () (@list @t8 @t10)) % 0.16/0.37 (define @t27 () (lambda @t26 @t25)) % 0.16/0.37 (define @t28 () (lambda @t26 (exists @t24 (and @t23 @t22)))) % 0.16/0.37 (define @t29 () (tptp.price tptp.seventy @t21)) % 0.16/0.37 (define @t30 () (not (tptp.mrel tptp.mactual @t21))) % 0.16/0.37 (define @t31 () (forall @t24 (or @t30 @t29))) % 0.16/0.37 (define @t32 () (tptp.mrel @t10 @t21)) % 0.16/0.37 (define @t33 () (not @t32)) % 0.16/0.37 (define @t34 () (@list @t10)) % 0.16/0.37 (define @t35 () (lambda @t34 (forall @t24 (or @t33 @t29)))) % 0.16/0.37 (define @t36 () (_ @t35 tptp.mactual)) % 0.16/0.37 (define @t37 () (_ @t5 @t21)) % 0.16/0.37 (define @t38 () (or @t33 @t37)) % 0.16/0.37 (define @t39 () (_ @t5 @t21)) % 0.16/0.37 (define @t40 () (or @t33 @t39)) % 0.16/0.37 (define @t41 () (forall @t24 @t40)) % 0.16/0.37 (define @t42 () (lambda @t34 @t41)) % 0.16/0.37 (define @t43 () (_ @t8 @t21)) % 0.16/0.37 (define @t44 () (lambda @t26 (forall @t24 (or @t33 @t43)))) % 0.16/0.37 (define @t45 () (_ @t44 @t5)) % 0.16/0.37 (define @t46 () (not @t23)) % 0.16/0.37 (define @t47 () (or @t46 @t22)) % 0.16/0.37 (define @t48 () (@quantifiers_skolemize @t31 0)) % 0.16/0.37 (define @t49 () (tptp.mrel tptp.mactual @t48)) % 0.16/0.37 (define @t50 () (tptp.price tptp.seventy @t48)) % 0.16/0.37 (define @t51 () (not @t49)) % 0.16/0.37 (define @t52 () (or @t51 @t50)) % 0.16/0.37 (define @t53 () (@list true)) % 0.16/0.37 (define @t54 () (@list @t52)) % 0.16/0.37 (define @t55 () (tptp.class tptp.second @t21)) % 0.16/0.37 (define @t56 () (not @t55)) % 0.16/0.37 (define @t57 () (tptp.dest tptp.paris @t21)) % 0.16/0.37 (define @t58 () (not @t57)) % 0.16/0.37 (define @t59 () (lambda @t34 (forall @t24 (or @t33 @t58 @t56 @t29)))) % 0.16/0.37 (define @t60 () (_ @t59 tptp.mactual)) % 0.16/0.37 (define @t61 () (_ @t6 @t21)) % 0.16/0.37 (define @t62 () (not @t61)) % 0.16/0.37 (define @t63 () (_ @t3 @t21)) % 0.16/0.37 (define @t64 () (not @t63)) % 0.16/0.37 (define @t65 () (or @t33 @t64 @t62 @t37)) % 0.16/0.37 (define @t66 () (or @t64 @t62 @t37)) % 0.16/0.37 (define @t67 () (and @t63 @t61)) % 0.16/0.37 (define @t68 () (=> @t67 @t37)) % 0.16/0.37 (define @t69 () (or @t33 @t68)) % 0.16/0.37 (define @t70 () (_ @t3 @t10)) % 0.16/0.37 (define @t71 () (and @t70 (_ @t6 @t10))) % 0.16/0.37 (define @t72 () (lambda @t34 (=> @t71 (_ @t5 @t10)))) % 0.16/0.37 (define @t73 () (_ @t72 @t21)) % 0.16/0.37 (define @t74 () (or @t33 @t73)) % 0.16/0.37 (define @t75 () (forall @t24 @t74)) % 0.16/0.37 (define @t76 () (lambda @t34 @t75)) % 0.16/0.37 (define @t77 () (@list @t14 @t10)) % 0.16/0.37 (define @t78 () (lambda @t34 @t71)) % 0.16/0.37 (define @t79 () (_ @t78 @t10)) % 0.16/0.37 (define @t80 () (=> @t79 @t15)) % 0.16/0.37 (define @t81 () (lambda @t77 @t80)) % 0.16/0.37 (define @t82 () (lambda @t77 (and @t70 @t15))) % 0.16/0.37 (define @t83 () (@list @t48)) % 0.16/0.37 (define @t84 () (lambda @t34 (forall @t24 (or @t33 @t57)))) % 0.16/0.37 (define @t85 () (_ @t84 tptp.mactual)) % 0.16/0.37 (define @t86 () (or @t33 @t63)) % 0.16/0.37 (define @t87 () (_ @t3 @t21)) % 0.16/0.37 (define @t88 () (or @t33 @t87)) % 0.16/0.37 (define @t89 () (forall @t24 @t88)) % 0.16/0.37 (define @t90 () (lambda @t34 @t89)) % 0.16/0.37 (define @t91 () (tptp.dest tptp.paris @t48)) % 0.16/0.37 (define @t92 () (or @t51 @t91)) % 0.16/0.37 (define @t93 () (@list false false)) % 0.16/0.37 (define @t94 () (lambda @t34 (forall @t24 (or @t33 @t55)))) % 0.16/0.37 (define @t95 () (_ @t94 tptp.mactual)) % 0.16/0.37 (define @t96 () (or @t33 @t61)) % 0.16/0.37 (define @t97 () (_ @t6 @t21)) % 0.16/0.37 (define @t98 () (or @t33 @t97)) % 0.16/0.37 (define @t99 () (forall @t24 @t98)) % 0.16/0.37 (define @t100 () (lambda @t34 @t99)) % 0.16/0.37 (define @t101 () (tptp.class tptp.second @t48)) % 0.16/0.37 (define @t102 () (or @t51 @t101)) % 0.16/0.37 (define @t103 () (not @t101)) % 0.16/0.37 (define @t104 () (not @t91)) % 0.16/0.37 (define @t105 () (or @t51 @t104 @t103 @t50)) % 0.16/0.37 (assume @p1 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t4 @t2)) @t1)))) % 0.16/0.37 (assume @p2 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ @t4 @t6)) @t5)))) % 0.16/0.37 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t2) @t6))))) % 0.16/0.37 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mnot (_ (_ tptp.mand @t1) @t5))))) % 0.16/0.37 (assume @p5 (_ tptp.mlocal (_ tptp.mbox @t3))) % 0.16/0.37 (assume @p6 (_ tptp.mlocal (_ tptp.mbox @t6))) % 0.16/0.37 (assume @p7 @t7) % 0.16/0.37 (assume @p8 true) % 0.16/0.37 (step @p9 (= tptp.mlocal @t9) :rule refl :args (@t9)) % 0.16/0.37 (step @p10 (= tptp.mnot @t13) :rule refl :args (@t13)) % 0.16/0.37 (step @p11 (= tptp.mand @t17) :rule refl :args (@t17)) % 0.16/0.37 (step @p12 (= tptp.mor @t18) :rule refl :args (@t18)) % 0.16/0.37 (step @p13 (= tptp.mimplies @t19) :rule refl :args (@t19)) % 0.16/0.37 (step @p14 (= tptp.mequiv @t20) :rule refl :args (@t20)) % 0.16/0.37 (step @p15 (= tptp.mbox @t27) :rule refl :args (@t27)) % 0.16/0.37 (step @p16 (= tptp.mdia @t28) :rule refl :args (@t28)) % 0.16/0.37 (step @p17 :rule beta-reduce :args ((= @t36 @t31))) % 0.16/0.37 (step @p18 :rule beta-reduce :args ((= (_ @t9 @t35) @t36))) % 0.16/0.37 (step @p19 :rule trans :premises (@p18 @p17)) % 0.16/0.37 (step @p20 :rule refl :args (@t29)) % 0.16/0.37 (step @p21 :rule refl :args (@t37)) % 0.16/0.37 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t37 @t29))) % 0.16/0.37 (step @p23 :rule symm :premises (@p22)) % 0.16/0.37 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.16/0.37 (step @p25 :rule refl :args (@t33)) % 0.16/0.37 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t38)) % 0.16/0.37 (step @p27 :rule cong :premises (@p26) :args ((forall @t24 @t38))) % 0.16/0.37 (step @p28 :rule refl :args (@t39)) % 0.16/0.37 (step @p29 :rule refl :args (@t33)) % 0.16/0.37 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t40)) % 0.16/0.37 (step @p31 :rule cong :premises (@p30) :args (@t41)) % 0.16/0.37 (step @p32 :rule trans :premises (@p31 @p27)) % 0.16/0.37 (step @p33 :rule cong :premises (@p32) :args (@t42)) % 0.16/0.37 (step @p34 :rule beta-reduce :args ((= @t45 @t42))) % 0.16/0.37 (step @p35 :rule trans :premises (@p34 @p33)) % 0.16/0.37 (step @p36 :rule refl :args (@t9)) % 0.16/0.37 (step @p37 :rule ho_cong :premises (@p36 @p35)) % 0.16/0.37 (step @p38 :rule trans :premises (@p37 @p19)) % 0.16/0.37 (step @p39 :rule cong :premises (@p38) :args ((not (_ @t9 @t45)))) % 0.16/0.37 (step @p40 :rule refl :args (@t5)) % 0.16/0.37 (step @p41 :rule refl :args (@t43)) % 0.16/0.37 (step @p42 :rule refl :args (@t22)) % 0.16/0.37 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t22 @t43))) % 0.16/0.37 (step @p44 :rule symm :premises (@p43)) % 0.16/0.37 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.16/0.37 (step @p46 :rule refl :args (@t32)) % 0.16/0.37 (step @p47 :rule refl :args (@t23)) % 0.16/0.37 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t23 @t32))) % 0.16/0.37 (step @p49 :rule symm :premises (@p48)) % 0.16/0.37 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.16/0.37 (step @p51 :rule cong :premises (@p50) :args (@t46)) % 0.16/0.37 (step @p52 :rule nary_cong :premises (@p51 @p45) :args (@t47)) % 0.16/0.37 (step @p53 :rule cong :premises (@p52) :args ((forall @t24 @t47))) % 0.16/0.37 (step @p54 :rule bool-impl-elim :args (@t23 @t22)) % 0.16/0.37 (step @p55 :rule cong :premises (@p54) :args (@t25)) % 0.16/0.37 (step @p56 :rule trans :premises (@p55 @p53)) % 0.16/0.37 (step @p57 :rule cong :premises (@p56) :args (@t27)) % 0.16/0.37 (step @p58 :rule trans :premises (@p15 @p57)) % 0.16/0.37 (step @p59 :rule ho_cong :premises (@p58 @p40)) % 0.16/0.37 (step @p60 :rule ho_cong :premises (@p9 @p59)) % 0.16/0.37 (step @p61 :rule cong :premises (@p60) :args (@t7)) % 0.16/0.37 (step @p62 :rule trans :premises (@p61 @p39)) % 0.16/0.37 (step @p63 :rule eq_resolve :premises (@p7 @p62)) % 0.16/0.37 (step @p64 :rule skolemize :premises (@p63)) % 0.16/0.37 (step @p65 :rule bool-double-not-elim :args (@t49)) % 0.16/0.37 (step @p66 :rule refl :args (@t52)) % 0.16/0.37 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t52 (not @t51)))) % 0.16/0.37 (step @p68 :rule cnf_or_neg :args (@t52 0)) % 0.16/0.37 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.16/0.37 (step @p70 :rule reordering :premises (@p69) :args ((or @t49 @t52))) % 0.16/0.37 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t49 @t53 @t54)) % 0.16/0.37 (step @p72 :rule cnf_or_neg :args (@t52 1)) % 0.16/0.37 (step @p73 :rule chain_m_resolution :premises (@p72 @p64) :args ((not @t50) @t53 @t54)) % 0.16/0.37 (step @p74 :rule beta-reduce :args ((= @t60 (forall @t24 (or @t30 @t58 @t56 @t29))))) % 0.16/0.37 (step @p75 :rule beta-reduce :args ((= (_ @t9 @t59) @t60))) % 0.16/0.37 (step @p76 :rule trans :premises (@p75 @p74)) % 0.16/0.37 (step @p77 :rule refl :args (@t55)) % 0.16/0.37 (step @p78 :rule refl :args (@t61)) % 0.16/0.37 (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t61 @t55))) % 0.16/0.37 (step @p80 :rule symm :premises (@p79)) % 0.16/0.37 (step @p81 :rule eq_resolve :premises (@p78 @p80)) % 0.16/0.37 (step @p82 :rule cong :premises (@p81) :args (@t62)) % 0.16/0.37 (step @p83 :rule refl :args (@t57)) % 0.16/0.37 (step @p84 :rule refl :args (@t63)) % 0.16/0.37 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t63 @t57))) % 0.16/0.37 (step @p86 :rule symm :premises (@p85)) % 0.16/0.37 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.16/0.37 (step @p88 :rule cong :premises (@p87) :args (@t64)) % 0.16/0.37 (step @p89 :rule nary_cong :premises (@p25 @p88 @p82 @p24) :args (@t65)) % 0.16/0.37 (step @p90 :rule cong :premises (@p89) :args ((forall @t24 @t65))) % 0.16/0.37 (step @p91 :rule aci_norm :args ((= (or @t33 @t66) @t65))) % 0.16/0.37 (step @p92 :rule aci_norm :args ((= (or (or @t64 @t62) @t37) @t66))) % 0.16/0.37 (step @p93 :rule bool-and-de-morgan :args (@t63 @t61 true)) % 0.16/0.37 (step @p94 :rule nary_cong :premises (@p93 @p21) :args ((or (not @t67) @t37))) % 0.16/0.37 (step @p95 :rule trans :premises (@p94 @p92)) % 0.16/0.37 (step @p96 :rule bool-impl-elim :args (@t67 @t37)) % 0.16/0.37 (step @p97 :rule trans :premises (@p96 @p95)) % 0.16/0.37 (step @p98 :rule nary_cong :premises (@p25 @p97) :args (@t69)) % 0.16/0.37 (step @p99 :rule trans :premises (@p98 @p91)) % 0.16/0.37 (step @p100 :rule cong :premises (@p99) :args ((forall @t24 @t69))) % 0.16/0.37 (step @p101 :rule trans :premises (@p100 @p90)) % 0.16/0.37 (step @p102 :rule beta-reduce :args ((= @t73 @t68))) % 0.16/0.37 (step @p103 :rule nary_cong :premises (@p29 @p102) :args (@t74)) % 0.16/0.37 (step @p104 :rule cong :premises (@p103) :args (@t75)) % 0.16/0.37 (step @p105 :rule trans :premises (@p104 @p101)) % 0.16/0.37 (step @p106 :rule cong :premises (@p105) :args (@t76)) % 0.16/0.37 (step @p107 :rule beta-reduce :args ((= (_ @t44 @t72) @t76))) % 0.16/0.37 (step @p108 :rule trans :premises (@p107 @p106)) % 0.16/0.37 (step @p109 :rule beta-reduce :args ((= (_ (lambda @t77 (=> @t71 @t15)) @t5) @t72))) % 0.16/0.37 (step @p110 :rule refl :args (@t15)) % 0.16/0.37 (step @p111 :rule beta-reduce :args ((= @t79 @t71))) % 0.16/0.37 (step @p112 :rule cong :premises (@p111 @p110) :args (@t80)) % 0.16/0.37 (step @p113 :rule cong :premises (@p112) :args (@t81)) % 0.16/0.37 (step @p114 :rule beta-reduce :args ((= (_ @t19 @t78) @t81))) % 0.16/0.37 (step @p115 :rule trans :premises (@p114 @p113)) % 0.16/0.37 (step @p116 :rule beta-reduce :args ((= (_ @t82 @t6) @t78))) % 0.16/0.37 (step @p117 :rule refl :args (@t6)) % 0.16/0.37 (step @p118 :rule beta-reduce :args ((= (_ @t17 @t3) @t82))) % 0.16/0.37 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.16/0.37 (step @p120 :rule trans :premises (@p119 @p116)) % 0.16/0.37 (step @p121 :rule refl :args (@t19)) % 0.16/0.37 (step @p122 :rule ho_cong :premises (@p121 @p120)) % 0.16/0.37 (step @p123 :rule trans :premises (@p122 @p115)) % 0.16/0.37 (step @p124 :rule ho_cong :premises (@p123 @p40)) % 0.16/0.37 (step @p125 :rule trans :premises (@p124 @p109)) % 0.16/0.37 (step @p126 :rule refl :args (@t44)) % 0.16/0.37 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.16/0.37 (step @p128 :rule trans :premises (@p127 @p108)) % 0.16/0.37 (step @p129 :rule ho_cong :premises (@p36 @p128)) % 0.16/0.37 (step @p130 :rule trans :premises (@p129 @p76)) % 0.16/0.37 (step @p131 :rule refl :args (@t3)) % 0.16/0.37 (step @p132 :rule ho_cong :premises (@p11 @p131)) % 0.16/0.37 (step @p133 :rule ho_cong :premises (@p132 @p117)) % 0.16/0.37 (step @p134 :rule ho_cong :premises (@p13 @p133)) % 0.16/0.37 (step @p135 :rule ho_cong :premises (@p134 @p40)) % 0.16/0.37 (step @p136 :rule ho_cong :premises (@p58 @p135)) % 0.16/0.37 (step @p137 :rule ho_cong :premises (@p9 @p136)) % 0.16/0.37 (step @p138 :rule trans :premises (@p137 @p130)) % 0.16/0.37 (step @p139 :rule eq_resolve :premises (@p2 @p138)) % 0.16/0.37 (step @p140 :rule instantiate :premises (@p139) :args (@t83)) % 0.16/0.37 (step @p141 :rule beta-reduce :args ((= @t85 (forall @t24 (or @t30 @t57))))) % 0.16/0.37 (step @p142 :rule beta-reduce :args ((= (_ @t9 @t84) @t85))) % 0.16/0.37 (step @p143 :rule trans :premises (@p142 @p141)) % 0.16/0.37 (step @p144 :rule nary_cong :premises (@p25 @p87) :args (@t86)) % 0.16/0.37 (step @p145 :rule cong :premises (@p144) :args ((forall @t24 @t86))) % 0.16/0.37 (step @p146 :rule refl :args (@t87)) % 0.16/0.37 (step @p147 :rule nary_cong :premises (@p29 @p146) :args (@t88)) % 0.16/0.37 (step @p148 :rule cong :premises (@p147) :args (@t89)) % 0.16/0.37 (step @p149 :rule trans :premises (@p148 @p145)) % 0.16/0.37 (step @p150 :rule cong :premises (@p149) :args (@t90)) % 0.16/0.37 (step @p151 :rule beta-reduce :args ((= (_ @t44 @t3) @t90))) % 0.16/0.37 (step @p152 :rule trans :premises (@p151 @p150)) % 0.16/0.37 (step @p153 :rule ho_cong :premises (@p36 @p152)) % 0.16/0.37 (step @p154 :rule trans :premises (@p153 @p143)) % 0.16/0.37 (step @p155 :rule ho_cong :premises (@p58 @p131)) % 0.16/0.37 (step @p156 :rule ho_cong :premises (@p9 @p155)) % 0.16/0.37 (step @p157 :rule trans :premises (@p156 @p154)) % 0.16/0.37 (step @p158 :rule eq_resolve :premises (@p5 @p157)) % 0.16/0.37 (step @p159 :rule instantiate :premises (@p158) :args (@t83)) % 0.16/0.37 (step @p160 :rule cnf_or_pos :args (@t92)) % 0.16/0.37 (step @p161 :rule reordering :premises (@p160) :args ((or @t51 @t91 (not @t92)))) % 0.16/0.37 (step @p162 :rule chain_m_resolution :premises (@p161 @p71 @p159) :args (@t91 @t93 (@list @t49 @t92))) % 0.16/0.37 (step @p163 :rule beta-reduce :args ((= @t95 (forall @t24 (or @t30 @t55))))) % 0.16/0.37 (step @p164 :rule beta-reduce :args ((= (_ @t9 @t94) @t95))) % 0.16/0.37 (step @p165 :rule trans :premises (@p164 @p163)) % 0.16/0.37 (step @p166 :rule nary_cong :premises (@p25 @p81) :args (@t96)) % 0.16/0.37 (step @p167 :rule cong :premises (@p166) :args ((forall @t24 @t96))) % 0.16/0.37 (step @p168 :rule refl :args (@t97)) % 0.16/0.37 (step @p169 :rule nary_cong :premises (@p29 @p168) :args (@t98)) % 0.16/0.37 (step @p170 :rule cong :premises (@p169) :args (@t99)) % 0.16/0.37 (step @p171 :rule trans :premises (@p170 @p167)) % 0.16/0.37 (step @p172 :rule cong :premises (@p171) :args (@t100)) % 0.16/0.37 (step @p173 :rule beta-reduce :args ((= (_ @t44 @t6) @t100))) % 0.16/0.37 (step @p174 :rule trans :premises (@p173 @p172)) % 0.16/0.37 (step @p175 :rule ho_cong :premises (@p36 @p174)) % 0.16/0.37 (step @p176 :rule trans :premises (@p175 @p165)) % 0.16/0.37 (step @p177 :rule ho_cong :premises (@p58 @p117)) % 0.16/0.37 (step @p178 :rule ho_cong :premises (@p9 @p177)) % 0.16/0.37 (step @p179 :rule trans :premises (@p178 @p176)) % 0.16/0.37 (step @p180 :rule eq_resolve :premises (@p6 @p179)) % 0.16/0.37 (step @p181 :rule instantiate :premises (@p180) :args (@t83)) % 0.16/0.37 (step @p182 :rule cnf_or_pos :args (@t102)) % 0.16/0.37 (step @p183 :rule reordering :premises (@p182) :args ((or @t51 @t101 (not @t102)))) % 0.16/0.38 (step @p184 :rule chain_m_resolution :premises (@p183 @p71 @p181) :args (@t101 @t93 (@list @t49 @t102))) % 0.16/0.38 (step @p185 :rule cnf_or_pos :args (@t105)) % 0.16/0.38 (step @p186 :rule reordering :premises (@p185) :args ((or @t51 @t50 @t104 @t103 (not @t105)))) % 0.16/0.38 (step @p187 false :rule chain_m_resolution :premises (@p186 @p184 @p162 @p140 @p73 @p71) :args (false (@list false false false true false) (@list @t101 @t91 @t105 @t50 @t49))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------