%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP267^18 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n021.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 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP267^18 : TPTP v9.2.1. Released v8.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 10:18:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.mindex 0) % 0.36/0.57 (declare-sort tptp.mworld 0) % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.mactual tptp.mworld) % 0.36/0.57 (declare-const tptp.mrel (-> tptp.mindex tptp.mworld tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.second $$unsorted) % 0.36/0.57 (declare-const |tptp.'#b_u'| tptp.mindex) % 0.36/0.57 (declare-const tptp.ninetyfive $$unsorted) % 0.36/0.57 (declare-const |tptp.'#b_s'| tptp.mindex) % 0.36/0.57 (declare-const tptp.price (-> $$unsorted tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.first $$unsorted) % 0.36/0.57 (declare-const tptp.class (-> $$unsorted tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.paris $$unsorted) % 0.36/0.57 (declare-const tptp.dest (-> $$unsorted tptp.mworld Bool)) % 0.36/0.57 (declare-const tptp.seventy $$unsorted) % 0.36/0.57 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.36/0.57 (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)))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))))))) % 0.36/0.57 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.36/0.57 (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))) (let ((_let_4 (@var "R" tptp.mindex))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ (_ tptp.mrel _let_4) _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.36/0.57 (define @t1 () (@var "V" tptp.mworld)) % 0.36/0.57 (define @t2 () (@var "W" tptp.mworld)) % 0.36/0.57 (define @t3 () (@list @t2 @t1)) % 0.36/0.57 (define @t4 () (_ tptp.price tptp.ninetyfive)) % 0.36/0.57 (define @t5 () (_ tptp.class tptp.first)) % 0.36/0.57 (define @t6 () (_ tptp.dest tptp.paris)) % 0.36/0.57 (define @t7 () (_ tptp.mand @t6)) % 0.36/0.57 (define @t8 () (_ tptp.mbox |tptp.'#b_s'|)) % 0.36/0.57 (define @t9 () (_ tptp.price tptp.seventy)) % 0.36/0.57 (define @t10 () (_ tptp.class tptp.second)) % 0.36/0.57 (define @t11 () (_ @t7 @t10)) % 0.36/0.57 (define @t12 () (_ tptp.mnot (_ (_ tptp.mand @t5) @t10))) % 0.36/0.57 (define @t13 () (_ tptp.mbox |tptp.'#b_u'|)) % 0.36/0.57 (define @t14 () (_ tptp.mnot (_ (_ tptp.mand @t9) @t4))) % 0.36/0.57 (define @t15 () (not (_ tptp.mlocal (_ @t8 @t9)))) % 0.36/0.57 (define @t16 () (@var "Phi" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t17 () (lambda (@list @t16) (_ @t16 tptp.mactual))) % 0.36/0.57 (define @t18 () (@var "A" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t19 () (_ @t18 @t2)) % 0.36/0.57 (define @t20 () (lambda (@list @t18 @t2) (not @t19))) % 0.36/0.57 (define @t21 () (@var "B" (-> tptp.mworld Bool))) % 0.36/0.57 (define @t22 () (_ @t21 @t2)) % 0.36/0.57 (define @t23 () (@list @t18 @t21 @t2)) % 0.36/0.57 (define @t24 () (lambda @t23 (and @t19 @t22))) % 0.36/0.57 (define @t25 () (lambda @t23 (or @t19 @t22))) % 0.36/0.57 (define @t26 () (lambda @t23 (=> @t19 @t22))) % 0.36/0.57 (define @t27 () (lambda @t23 (= @t19 @t22))) % 0.36/0.57 (define @t28 () (_ @t16 @t1)) % 0.36/0.57 (define @t29 () (@var "R" tptp.mindex)) % 0.36/0.57 (define @t30 () (_ (_ (_ tptp.mrel @t29) @t2) @t1)) % 0.36/0.57 (define @t31 () (@list @t1)) % 0.36/0.57 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.36/0.57 (define @t33 () (@list @t29 @t16 @t2)) % 0.36/0.57 (define @t34 () (lambda @t33 @t32)) % 0.36/0.57 (define @t35 () (lambda @t33 (exists @t31 (and @t30 @t28)))) % 0.36/0.57 (define @t36 () (tptp.price tptp.seventy @t1)) % 0.36/0.57 (define @t37 () (not (tptp.mrel |tptp.'#b_s'| tptp.mactual @t1))) % 0.36/0.57 (define @t38 () (forall @t31 (or @t37 @t36))) % 0.36/0.57 (define @t39 () (not (tptp.mrel |tptp.'#b_s'| @t2 @t1))) % 0.36/0.57 (define @t40 () (@list @t2)) % 0.36/0.57 (define @t41 () (lambda @t40 (forall @t31 (or @t39 @t36)))) % 0.36/0.57 (define @t42 () (_ @t41 tptp.mactual)) % 0.36/0.57 (define @t43 () (_ @t9 @t1)) % 0.36/0.57 (define @t44 () (or @t39 @t43)) % 0.36/0.57 (define @t45 () (_ @t9 @t1)) % 0.36/0.57 (define @t46 () (or @t39 @t45)) % 0.36/0.57 (define @t47 () (forall @t31 @t46)) % 0.36/0.57 (define @t48 () (lambda @t40 @t47)) % 0.36/0.57 (define @t49 () (_ @t16 @t1)) % 0.36/0.57 (define @t50 () (lambda (@list @t16 @t2) (forall @t31 (or @t39 @t49)))) % 0.36/0.57 (define @t51 () (tptp.mrel @t29 @t2 @t1)) % 0.36/0.57 (define @t52 () (_ (lambda @t33 (forall @t31 (or (not @t51) @t49))) |tptp.'#b_s'|)) % 0.36/0.57 (define @t53 () (not @t30)) % 0.36/0.57 (define @t54 () (or @t53 @t28)) % 0.36/0.57 (define @t55 () (@quantifiers_skolemize @t38 0)) % 0.36/0.57 (define @t56 () (tptp.mrel |tptp.'#b_s'| tptp.mactual @t55)) % 0.36/0.57 (define @t57 () (tptp.price tptp.seventy @t55)) % 0.36/0.57 (define @t58 () (not @t56)) % 0.36/0.57 (define @t59 () (or @t58 @t57)) % 0.36/0.57 (define @t60 () (@list true)) % 0.36/0.57 (define @t61 () (@list @t59)) % 0.36/0.57 (define @t62 () (tptp.class tptp.second @t1)) % 0.36/0.57 (define @t63 () (not @t62)) % 0.36/0.57 (define @t64 () (tptp.dest tptp.paris @t1)) % 0.36/0.57 (define @t65 () (not @t64)) % 0.36/0.57 (define @t66 () (lambda @t40 (forall @t31 (or @t39 @t65 @t63 @t36)))) % 0.36/0.57 (define @t67 () (_ @t66 tptp.mactual)) % 0.36/0.57 (define @t68 () (_ @t10 @t1)) % 0.36/0.57 (define @t69 () (not @t68)) % 0.36/0.57 (define @t70 () (_ @t6 @t1)) % 0.36/0.57 (define @t71 () (not @t70)) % 0.36/0.57 (define @t72 () (or @t39 @t71 @t69 @t43)) % 0.36/0.57 (define @t73 () (or @t71 @t69 @t43)) % 0.36/0.57 (define @t74 () (and @t70 @t68)) % 0.36/0.57 (define @t75 () (=> @t74 @t43)) % 0.36/0.57 (define @t76 () (or @t39 @t75)) % 0.36/0.57 (define @t77 () (_ @t6 @t2)) % 0.36/0.57 (define @t78 () (and @t77 (_ @t10 @t2))) % 0.36/0.57 (define @t79 () (lambda @t40 (=> @t78 (_ @t9 @t2)))) % 0.36/0.57 (define @t80 () (_ @t79 @t1)) % 0.36/0.57 (define @t81 () (or @t39 @t80)) % 0.36/0.57 (define @t82 () (forall @t31 @t81)) % 0.36/0.57 (define @t83 () (lambda @t40 @t82)) % 0.36/0.57 (define @t84 () (@list @t21 @t2)) % 0.36/0.57 (define @t85 () (lambda @t40 @t78)) % 0.36/0.57 (define @t86 () (_ @t85 @t2)) % 0.36/0.57 (define @t87 () (=> @t86 @t22)) % 0.36/0.57 (define @t88 () (lambda @t84 @t87)) % 0.36/0.57 (define @t89 () (lambda @t84 (and @t77 @t22))) % 0.36/0.57 (define @t90 () (@list @t55)) % 0.36/0.57 (define @t91 () (and @t64 @t62)) % 0.36/0.57 (define @t92 () (lambda @t40 (forall @t31 (or @t39 @t91)))) % 0.36/0.57 (define @t93 () (_ @t92 tptp.mactual)) % 0.36/0.57 (define @t94 () (or @t39 @t74)) % 0.36/0.57 (define @t95 () (_ @t85 @t1)) % 0.36/0.57 (define @t96 () (or @t39 @t95)) % 0.36/0.57 (define @t97 () (forall @t31 @t96)) % 0.36/0.57 (define @t98 () (lambda @t40 @t97)) % 0.36/0.57 (define @t99 () (tptp.class tptp.second @t55)) % 0.36/0.57 (define @t100 () (tptp.dest tptp.paris @t55)) % 0.36/0.57 (define @t101 () (and @t100 @t99)) % 0.36/0.57 (define @t102 () (or @t58 @t101)) % 0.36/0.57 (define @t103 () (not @t101)) % 0.36/0.57 (define @t104 () (@list false)) % 0.36/0.57 (define @t105 () (@list @t101)) % 0.36/0.57 (define @t106 () (not @t99)) % 0.36/0.57 (define @t107 () (not @t100)) % 0.36/0.57 (define @t108 () (or @t58 @t107 @t106 @t57)) % 0.36/0.57 (assume @p1 (forall @t3 (_ (_ (_ tptp.mrel |tptp.'#b_u'|) @t2) @t1))) % 0.36/0.57 (assume @p2 (forall @t3 (_ (_ (_ tptp.mrel |tptp.'#b_s'|) @t2) @t1))) % 0.36/0.57 (assume @p3 (_ tptp.mlocal (_ @t8 (_ (_ tptp.mimplies (_ @t7 @t5)) @t4)))) % 0.36/0.57 (assume @p4 (_ tptp.mlocal (_ @t8 (_ (_ tptp.mimplies @t11) @t9)))) % 0.36/0.57 (assume @p5 (_ tptp.mlocal (_ @t8 @t12))) % 0.36/0.57 (assume @p6 (_ tptp.mlocal (_ @t13 @t12))) % 0.36/0.57 (assume @p7 (_ tptp.mlocal (_ @t8 @t14))) % 0.36/0.57 (assume @p8 (_ tptp.mlocal (_ @t13 @t14))) % 0.36/0.57 (assume @p9 (_ tptp.mlocal (_ @t8 @t11))) % 0.36/0.57 (assume @p10 @t15) % 0.36/0.57 (assume @p11 true) % 0.36/0.57 (step @p12 (= tptp.mlocal @t17) :rule refl :args (@t17)) % 0.36/0.57 (step @p13 (= tptp.mnot @t20) :rule refl :args (@t20)) % 0.36/0.57 (step @p14 (= tptp.mand @t24) :rule refl :args (@t24)) % 0.36/0.57 (step @p15 (= tptp.mor @t25) :rule refl :args (@t25)) % 0.36/0.57 (step @p16 (= tptp.mimplies @t26) :rule refl :args (@t26)) % 0.36/0.57 (step @p17 (= tptp.mequiv @t27) :rule refl :args (@t27)) % 0.36/0.57 (step @p18 (= tptp.mbox @t34) :rule refl :args (@t34)) % 0.36/0.57 (step @p19 (= tptp.mdia @t35) :rule refl :args (@t35)) % 0.36/0.57 (step @p20 :rule beta-reduce :args ((= @t42 @t38))) % 0.36/0.57 (step @p21 :rule beta-reduce :args ((= (_ @t17 @t41) @t42))) % 0.36/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.36/0.57 (step @p23 :rule refl :args (@t36)) % 0.36/0.57 (step @p24 :rule refl :args (@t43)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t43 @t36))) % 0.36/0.57 (step @p26 :rule symm :premises (@p25)) % 0.36/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.36/0.57 (step @p28 :rule refl :args (@t39)) % 0.36/0.57 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t44)) % 0.36/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t31 @t44))) % 0.36/0.57 (step @p31 :rule refl :args (@t45)) % 0.36/0.57 (step @p32 :rule refl :args (@t39)) % 0.36/0.57 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t46)) % 0.36/0.57 (step @p34 :rule cong :premises (@p33) :args (@t47)) % 0.36/0.57 (step @p35 :rule trans :premises (@p34 @p30)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35) :args (@t48)) % 0.36/0.57 (step @p37 :rule beta-reduce :args ((= (_ @t50 @t9) @t48))) % 0.36/0.57 (step @p38 :rule trans :premises (@p37 @p36)) % 0.36/0.57 (step @p39 :rule refl :args (@t9)) % 0.36/0.57 (step @p40 :rule beta-reduce :args ((= @t52 @t50))) % 0.36/0.57 (step @p41 :rule ho_cong :premises (@p40 @p39)) % 0.36/0.57 (step @p42 :rule trans :premises (@p41 @p38)) % 0.36/0.57 (step @p43 :rule refl :args (@t17)) % 0.36/0.57 (step @p44 :rule ho_cong :premises (@p43 @p42)) % 0.36/0.57 (step @p45 :rule trans :premises (@p44 @p22)) % 0.36/0.57 (step @p46 :rule cong :premises (@p45) :args ((not (_ @t17 (_ @t52 @t9))))) % 0.36/0.57 (step @p47 :rule refl :args (|tptp.'#b_s'|)) % 0.36/0.57 (step @p48 :rule refl :args (@t49)) % 0.36/0.57 (step @p49 :rule refl :args (@t28)) % 0.36/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t28 @t49))) % 0.36/0.57 (step @p51 :rule symm :premises (@p50)) % 0.36/0.57 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.36/0.57 (step @p53 :rule refl :args (@t51)) % 0.36/0.57 (step @p54 :rule refl :args (@t30)) % 0.36/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t30 @t51))) % 0.36/0.57 (step @p56 :rule symm :premises (@p55)) % 0.36/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.36/0.57 (step @p58 :rule cong :premises (@p57) :args (@t53)) % 0.36/0.57 (step @p59 :rule nary_cong :premises (@p58 @p52) :args (@t54)) % 0.36/0.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t31 @t54))) % 0.36/0.57 (step @p61 :rule bool-impl-elim :args (@t30 @t28)) % 0.36/0.57 (step @p62 :rule cong :premises (@p61) :args (@t32)) % 0.36/0.57 (step @p63 :rule trans :premises (@p62 @p60)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args (@t34)) % 0.36/0.57 (step @p65 :rule trans :premises (@p18 @p64)) % 0.36/0.57 (step @p66 :rule ho_cong :premises (@p65 @p47)) % 0.36/0.57 (step @p67 :rule ho_cong :premises (@p66 @p39)) % 0.36/0.57 (step @p68 :rule ho_cong :premises (@p12 @p67)) % 0.36/0.57 (step @p69 :rule cong :premises (@p68) :args (@t15)) % 0.36/0.57 (step @p70 :rule trans :premises (@p69 @p46)) % 0.36/0.57 (step @p71 :rule eq_resolve :premises (@p10 @p70)) % 0.36/0.57 (step @p72 :rule skolemize :premises (@p71)) % 0.36/0.57 (step @p73 :rule bool-double-not-elim :args (@t56)) % 0.36/0.57 (step @p74 :rule refl :args (@t59)) % 0.36/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t59 (not @t58)))) % 0.36/0.57 (step @p76 :rule cnf_or_neg :args (@t59 0)) % 0.36/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.36/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t56 @t59))) % 0.36/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p72) :args (@t56 @t60 @t61)) % 0.36/0.57 (step @p80 :rule cnf_or_neg :args (@t59 1)) % 0.36/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p72) :args ((not @t57) @t60 @t61)) % 0.36/0.57 (step @p82 :rule beta-reduce :args ((= @t67 (forall @t31 (or @t37 @t65 @t63 @t36))))) % 0.36/0.57 (step @p83 :rule beta-reduce :args ((= (_ @t17 @t66) @t67))) % 0.36/0.57 (step @p84 :rule trans :premises (@p83 @p82)) % 0.36/0.57 (step @p85 :rule refl :args (@t62)) % 0.36/0.57 (step @p86 :rule refl :args (@t68)) % 0.36/0.57 (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t68 @t62))) % 0.36/0.57 (step @p88 :rule symm :premises (@p87)) % 0.36/0.57 (step @p89 :rule eq_resolve :premises (@p86 @p88)) % 0.36/0.57 (step @p90 :rule cong :premises (@p89) :args (@t69)) % 0.36/0.57 (step @p91 :rule refl :args (@t64)) % 0.36/0.57 (step @p92 :rule refl :args (@t70)) % 0.36/0.57 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t70 @t64))) % 0.36/0.57 (step @p94 :rule symm :premises (@p93)) % 0.36/0.57 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.36/0.57 (step @p96 :rule cong :premises (@p95) :args (@t71)) % 0.36/0.57 (step @p97 :rule nary_cong :premises (@p28 @p96 @p90 @p27) :args (@t72)) % 0.36/0.57 (step @p98 :rule cong :premises (@p97) :args ((forall @t31 @t72))) % 0.36/0.57 (step @p99 :rule aci_norm :args ((= (or @t39 @t73) @t72))) % 0.36/0.57 (step @p100 :rule aci_norm :args ((= (or (or @t71 @t69) @t43) @t73))) % 0.36/0.57 (step @p101 :rule bool-and-de-morgan :args (@t70 @t68 true)) % 0.36/0.57 (step @p102 :rule nary_cong :premises (@p101 @p24) :args ((or (not @t74) @t43))) % 0.36/0.57 (step @p103 :rule trans :premises (@p102 @p100)) % 0.36/0.57 (step @p104 :rule bool-impl-elim :args (@t74 @t43)) % 0.36/0.57 (step @p105 :rule trans :premises (@p104 @p103)) % 0.36/0.57 (step @p106 :rule nary_cong :premises (@p28 @p105) :args (@t76)) % 0.36/0.57 (step @p107 :rule trans :premises (@p106 @p99)) % 0.36/0.57 (step @p108 :rule cong :premises (@p107) :args ((forall @t31 @t76))) % 0.36/0.57 (step @p109 :rule trans :premises (@p108 @p98)) % 0.36/0.57 (step @p110 :rule beta-reduce :args ((= @t80 @t75))) % 0.36/0.57 (step @p111 :rule nary_cong :premises (@p32 @p110) :args (@t81)) % 0.36/0.57 (step @p112 :rule cong :premises (@p111) :args (@t82)) % 0.36/0.57 (step @p113 :rule trans :premises (@p112 @p109)) % 0.36/0.57 (step @p114 :rule cong :premises (@p113) :args (@t83)) % 0.36/0.57 (step @p115 :rule beta-reduce :args ((= (_ @t50 @t79) @t83))) % 0.36/0.57 (step @p116 :rule trans :premises (@p115 @p114)) % 0.36/0.57 (step @p117 :rule beta-reduce :args ((= (_ (lambda @t84 (=> @t78 @t22)) @t9) @t79))) % 0.36/0.57 (step @p118 :rule refl :args (@t22)) % 0.36/0.57 (step @p119 :rule beta-reduce :args ((= @t86 @t78))) % 0.36/0.57 (step @p120 :rule cong :premises (@p119 @p118) :args (@t87)) % 0.36/0.57 (step @p121 :rule cong :premises (@p120) :args (@t88)) % 0.36/0.57 (step @p122 :rule beta-reduce :args ((= (_ @t26 @t85) @t88))) % 0.36/0.57 (step @p123 :rule trans :premises (@p122 @p121)) % 0.36/0.57 (step @p124 :rule beta-reduce :args ((= (_ @t89 @t10) @t85))) % 0.36/0.57 (step @p125 :rule refl :args (@t10)) % 0.36/0.57 (step @p126 :rule beta-reduce :args ((= (_ @t24 @t6) @t89))) % 0.36/0.57 (step @p127 :rule ho_cong :premises (@p126 @p125)) % 0.36/0.57 (step @p128 :rule trans :premises (@p127 @p124)) % 0.36/0.57 (step @p129 :rule refl :args (@t26)) % 0.36/0.57 (step @p130 :rule ho_cong :premises (@p129 @p128)) % 0.36/0.57 (step @p131 :rule trans :premises (@p130 @p123)) % 0.36/0.57 (step @p132 :rule ho_cong :premises (@p131 @p39)) % 0.36/0.57 (step @p133 :rule trans :premises (@p132 @p117)) % 0.36/0.57 (step @p134 :rule ho_cong :premises (@p40 @p133)) % 0.36/0.57 (step @p135 :rule trans :premises (@p134 @p116)) % 0.36/0.57 (step @p136 :rule ho_cong :premises (@p43 @p135)) % 0.36/0.57 (step @p137 :rule trans :premises (@p136 @p84)) % 0.36/0.57 (step @p138 :rule refl :args (@t6)) % 0.36/0.57 (step @p139 :rule ho_cong :premises (@p14 @p138)) % 0.36/0.57 (step @p140 :rule ho_cong :premises (@p139 @p125)) % 0.36/0.57 (step @p141 :rule ho_cong :premises (@p16 @p140)) % 0.36/0.57 (step @p142 :rule ho_cong :premises (@p141 @p39)) % 0.36/0.57 (step @p143 :rule ho_cong :premises (@p66 @p142)) % 0.36/0.57 (step @p144 :rule ho_cong :premises (@p12 @p143)) % 0.36/0.57 (step @p145 :rule trans :premises (@p144 @p137)) % 0.36/0.57 (step @p146 :rule eq_resolve :premises (@p4 @p145)) % 0.36/0.57 (step @p147 :rule instantiate :premises (@p146) :args (@t90)) % 0.36/0.57 (step @p148 :rule beta-reduce :args ((= @t93 (forall @t31 (or @t37 @t91))))) % 0.36/0.57 (step @p149 :rule beta-reduce :args ((= (_ @t17 @t92) @t93))) % 0.36/0.57 (step @p150 :rule trans :premises (@p149 @p148)) % 0.36/0.57 (step @p151 :rule nary_cong :premises (@p95 @p89) :args (@t74)) % 0.36/0.57 (step @p152 :rule nary_cong :premises (@p28 @p151) :args (@t94)) % 0.36/0.57 (step @p153 :rule cong :premises (@p152) :args ((forall @t31 @t94))) % 0.36/0.57 (step @p154 :rule beta-reduce :args ((= @t95 @t74))) % 0.36/0.57 (step @p155 :rule nary_cong :premises (@p32 @p154) :args (@t96)) % 0.36/0.57 (step @p156 :rule cong :premises (@p155) :args (@t97)) % 0.36/0.57 (step @p157 :rule trans :premises (@p156 @p153)) % 0.36/0.57 (step @p158 :rule cong :premises (@p157) :args (@t98)) % 0.36/0.57 (step @p159 :rule beta-reduce :args ((= (_ @t50 @t85) @t98))) % 0.36/0.57 (step @p160 :rule trans :premises (@p159 @p158)) % 0.36/0.57 (step @p161 :rule ho_cong :premises (@p40 @p128)) % 0.36/0.57 (step @p162 :rule trans :premises (@p161 @p160)) % 0.36/0.57 (step @p163 :rule ho_cong :premises (@p43 @p162)) % 0.36/0.57 (step @p164 :rule trans :premises (@p163 @p150)) % 0.36/0.57 (step @p165 :rule ho_cong :premises (@p66 @p140)) % 0.36/0.57 (step @p166 :rule ho_cong :premises (@p12 @p165)) % 0.36/0.57 (step @p167 :rule trans :premises (@p166 @p164)) % 0.36/0.57 (step @p168 :rule eq_resolve :premises (@p9 @p167)) % 0.36/0.57 (step @p169 :rule instantiate :premises (@p168) :args (@t90)) % 0.36/0.57 (step @p170 :rule cnf_or_pos :args (@t102)) % 0.36/0.57 (step @p171 :rule reordering :premises (@p170) :args ((or @t58 @t101 (not @t102)))) % 0.36/0.57 (step @p172 :rule chain_m_resolution :premises (@p171 @p79 @p169) :args (@t101 (@list false false) (@list @t56 @t102))) % 0.36/0.57 (step @p173 :rule cnf_and_pos :args (@t101 0)) % 0.36/0.57 (step @p174 :rule reordering :premises (@p173) :args ((or @t100 @t103))) % 0.36/0.57 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t100 @t104 @t105)) % 0.36/0.57 (step @p176 :rule cnf_and_pos :args (@t101 1)) % 0.36/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t99 @t103))) % 0.36/0.57 (step @p178 :rule chain_m_resolution :premises (@p177 @p172) :args (@t99 @t104 @t105)) % 0.36/0.57 (step @p179 :rule cnf_or_pos :args (@t108)) % 0.36/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t58 @t57 @t107 @t106 (not @t108)))) % 0.36/0.57 (step @p181 false :rule chain_m_resolution :premises (@p180 @p178 @p175 @p147 @p81 @p79) :args (false (@list false false false true false) (@list @t99 @t100 @t108 @t57 @t56))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------