%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV290^5 : TPTP v9.2.1. Bugfixed v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:55:43 AM UTC 2026 % Result : Theorem 5.73s 5.92s % Output : Proof 5.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV290^5 : TPTP v9.2.1. Bugfixed v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n027.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:25:36 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 5.73/5.92 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 5.73/5.92 % SZS status Theorem % 5.73/5.92 % SZS output start Proof % 5.73/5.92 ( % 5.73/5.92 (declare-sort $$unsorted 0) % 5.73/5.92 (declare-const tptp.c0 (-> (-> $$unsorted Bool) Bool)) % 5.73/5.92 (define tptp.cSUCC () (let ((_let_1 (@var "Xt" $$unsorted))) (let ((_let_2 (@var "Xp" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "Xn" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_4 _let_2) (exists (@list _let_3) (and (_ _let_2 _let_3) (_ _let_4 (lambda (@list _let_1) (and (not (= _let_1 _let_3)) (_ _let_2 _let_1)))))))))))) % 5.73/5.92 (define tptp.c_less__eq_ () (let ((_let_1 (@var "Xy" (-> (-> $$unsorted Bool) Bool)))) (let ((_let_2 (@var "Xp" (-> (-> (-> $$unsorted Bool) Bool) Bool)))) (let ((_let_3 (@var "Xz" (-> (-> $$unsorted Bool) Bool)))) (let ((_let_4 (@var "Xx" (-> (-> $$unsorted Bool) Bool)))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (and (_ _let_2 _let_4) (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.cSUCC _let_3))))) (_ _let_2 _let_1))))))))) % 5.73/5.92 (define @t1 () (@var "Xx" (-> (-> $$unsorted Bool) Bool))) % 5.73/5.92 (define @t2 () (@var "A" (-> (-> (-> $$unsorted Bool) Bool) Bool))) % 5.73/5.92 (define @t3 () (_ @t2 @t1)) % 5.73/5.92 (define @t4 () (=> @t3 (_ (_ tptp.c_less__eq_ @t1) tptp.c0))) % 5.73/5.92 (define @t5 () (@list @t1)) % 5.73/5.92 (define @t6 () (forall @t5 @t4)) % 5.73/5.92 (define @t7 () (@list @t2)) % 5.73/5.92 (define @t8 () (exists @t7 @t6)) % 5.73/5.92 (define @t9 () (not @t8)) % 5.73/5.92 (define @t10 () (@var "Xt" $$unsorted)) % 5.73/5.92 (define @t11 () (@var "Xp" (-> $$unsorted Bool))) % 5.73/5.92 (define @t12 () (_ @t11 @t10)) % 5.73/5.92 (define @t13 () (@var "Xx" $$unsorted)) % 5.73/5.92 (define @t14 () (not (= @t10 @t13))) % 5.73/5.92 (define @t15 () (and @t14 @t12)) % 5.73/5.92 (define @t16 () (@list @t10)) % 5.73/5.92 (define @t17 () (lambda @t16 @t15)) % 5.73/5.92 (define @t18 () (@var "Xn" (-> (-> $$unsorted Bool) Bool))) % 5.73/5.92 (define @t19 () (_ @t11 @t13)) % 5.73/5.92 (define @t20 () (and @t19 (_ @t18 @t17))) % 5.73/5.92 (define @t21 () (@list @t13)) % 5.73/5.92 (define @t22 () (exists @t21 @t20)) % 5.73/5.92 (define @t23 () (@list @t18 @t11)) % 5.73/5.92 (define @t24 () (lambda @t23 @t22)) % 5.73/5.92 (define @t25 () (@var "Xy" (-> (-> $$unsorted Bool) Bool))) % 5.73/5.92 (define @t26 () (@var "Xp" (-> (-> (-> $$unsorted Bool) Bool) Bool))) % 5.73/5.92 (define @t27 () (_ @t26 @t25)) % 5.73/5.92 (define @t28 () (@var "Xz" (-> (-> $$unsorted Bool) Bool))) % 5.73/5.92 (define @t29 () (_ @t26 @t28)) % 5.73/5.92 (define @t30 () (=> @t29 (_ @t26 (_ tptp.cSUCC @t28)))) % 5.73/5.92 (define @t31 () (@list @t28)) % 5.73/5.92 (define @t32 () (forall @t31 @t30)) % 5.73/5.92 (define @t33 () (_ @t26 @t1)) % 5.73/5.92 (define @t34 () (and @t33 @t32)) % 5.73/5.92 (define @t35 () (=> @t34 @t27)) % 5.73/5.92 (define @t36 () (@list @t26)) % 5.73/5.92 (define @t37 () (forall @t36 @t35)) % 5.73/5.92 (define @t38 () (@list @t1 @t25)) % 5.73/5.92 (define @t39 () (lambda @t38 @t37)) % 5.73/5.92 (define @t40 () (@var "BOUND_VARIABLE_7569" (-> (-> (-> $$unsorted Bool) Bool) Bool))) % 5.73/5.92 (define @t41 () (_ @t40 tptp.c0)) % 5.73/5.92 (define @t42 () (_ @t11 @t10)) % 5.73/5.92 (define @t43 () (not (= @t13 @t10))) % 5.73/5.92 (define @t44 () (and @t43 @t42)) % 5.73/5.92 (define @t45 () (lambda @t16 @t44)) % 5.73/5.92 (define @t46 () (_ @t28 @t45)) % 5.73/5.92 (define @t47 () (not @t46)) % 5.73/5.92 (define @t48 () (_ @t11 @t13)) % 5.73/5.92 (define @t49 () (not @t48)) % 5.73/5.92 (define @t50 () (or @t49 @t47)) % 5.73/5.92 (define @t51 () (forall @t21 @t50)) % 5.73/5.92 (define @t52 () (not @t51)) % 5.73/5.92 (define @t53 () (@list @t11)) % 5.73/5.92 (define @t54 () (lambda @t53 @t52)) % 5.73/5.92 (define @t55 () (not (forall @t31 (or (not (_ @t40 @t28)) (_ @t40 @t54))))) % 5.73/5.92 (define @t56 () (not (_ @t40 @t1))) % 5.73/5.92 (define @t57 () (_ @t2 @t1)) % 5.73/5.92 (define @t58 () (not @t57)) % 5.73/5.92 (define @t59 () (or @t58 @t56 @t55 @t41)) % 5.73/5.92 (define @t60 () (@list @t1 @t40)) % 5.73/5.92 (define @t61 () (forall @t60 @t59)) % 5.73/5.92 (define @t62 () (forall @t7 (not @t61))) % 5.73/5.92 (define @t63 () (or @t56 @t55 @t41)) % 5.73/5.92 (define @t64 () (or @t58 @t63)) % 5.73/5.92 (define @t65 () (forall @t60 @t64)) % 5.73/5.92 (define @t66 () (@list @t40)) % 5.73/5.92 (define @t67 () (forall @t66 @t64)) % 5.73/5.92 (define @t68 () (forall @t66 @t63)) % 5.73/5.92 (define @t69 () (or @t58 @t68)) % 5.73/5.92 (define @t70 () (_ @t26 @t54)) % 5.73/5.92 (define @t71 () (_ @t26 @t28)) % 5.73/5.92 (define @t72 () (forall @t31 (or (not @t71) @t70))) % 5.73/5.92 (define @t73 () (not @t72)) % 5.73/5.92 (define @t74 () (_ @t26 @t1)) % 5.73/5.92 (define @t75 () (not @t74)) % 5.73/5.92 (define @t76 () (forall @t36 (or @t75 @t73 (_ @t26 tptp.c0)))) % 5.73/5.92 (define @t77 () (not @t3)) % 5.73/5.92 (define @t78 () (or @t77 @t76)) % 5.73/5.92 (define @t79 () (_ @t26 @t25)) % 5.73/5.92 (define @t80 () (forall @t36 (or @t75 @t73 @t79))) % 5.73/5.92 (define @t81 () (lambda (@list @t25) @t80)) % 5.73/5.92 (define @t82 () (_ (lambda @t38 @t80) @t1)) % 5.73/5.92 (define @t83 () (=> @t3 (_ @t82 tptp.c0))) % 5.73/5.92 (define @t84 () (forall @t5 @t83)) % 5.73/5.92 (define @t85 () (exists @t7 @t84)) % 5.73/5.92 (define @t86 () (not @t33)) % 5.73/5.92 (define @t87 () (or @t86 @t73 @t27)) % 5.73/5.92 (define @t88 () (and @t33 @t72)) % 5.73/5.92 (define @t89 () (and @t43 @t12)) % 5.73/5.92 (define @t90 () (lambda @t16 @t89)) % 5.73/5.92 (define @t91 () (not @t19)) % 5.73/5.92 (define @t92 () (lambda @t53 (not (forall @t21 (or @t91 (not (_ @t28 @t90))))))) % 5.73/5.92 (define @t93 () (_ @t26 @t54)) % 5.73/5.92 (define @t94 () (not @t29)) % 5.73/5.92 (define @t95 () (or @t94 @t93)) % 5.73/5.92 (define @t96 () (_ @t18 @t45)) % 5.73/5.92 (define @t97 () (_ (lambda @t23 (not (forall @t21 (or @t49 (not @t96))))) @t28)) % 5.73/5.92 (define @t98 () (=> @t29 (_ @t26 @t97))) % 5.73/5.92 (define @t99 () (forall @t31 @t98)) % 5.73/5.92 (define @t100 () (and @t33 @t99)) % 5.73/5.92 (define @t101 () (=> @t100 @t27)) % 5.73/5.92 (define @t102 () (_ @t18 @t90)) % 5.73/5.92 (define @t103 () (not @t102)) % 5.73/5.92 (define @t104 () (or @t91 @t103)) % 5.73/5.92 (define @t105 () (and @t19 @t102)) % 5.73/5.92 (define @t106 () (forall @t21 (not @t105))) % 5.73/5.92 (define @t107 () (not @t106)) % 5.73/5.92 (define @t108 () (lambda (@list (@var "BOUND_VARIABLE_14739" (-> (-> $$unsorted Bool) Bool))) false)) % 5.73/5.92 (define @t109 () (_ @t108 @t1)) % 5.73/5.92 (define @t110 () (not @t109)) % 5.73/5.92 (define @t111 () (or @t110 @t56 @t55 @t41)) % 5.73/5.92 (define @t112 () (forall @t60 @t111)) % 5.73/5.92 (define @t113 () (not @t112)) % 5.73/5.92 (assume @p1 @t9) % 5.73/5.92 (assume @p2 true) % 5.73/5.92 (step @p3 (= tptp.cSUCC @t24) :rule refl :args (@t24)) % 5.73/5.92 (step @p4 (= tptp.c_less__eq_ @t39) :rule refl :args (@t39)) % 5.73/5.92 (step @p5 :rule bool-double-not-elim :args (@t62)) % 5.73/5.92 (step @p6 :rule exists-elim :args ((= (exists @t7 @t61) (not @t62)))) % 5.73/5.92 (step @p7 :rule aci_norm :args ((= @t64 @t59))) % 5.73/5.92 (step @p8 :rule cong :premises (@p7) :args (@t65)) % 5.73/5.92 (step @p9 :rule quant-merge-prenex :args ((= (forall @t5 @t67) @t65))) % 5.73/5.92 (step @p10 :rule alpha_equiv :args (@t68 (@list @t40) (@list @t26))) % 5.73/5.92 (step @p11 :rule refl :args (@t58)) % 5.73/5.92 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t69)) % 5.73/5.92 (step @p13 :rule quant-miniscope-or :args ((= @t67 @t69))) % 5.73/5.92 (step @p14 :rule trans :premises (@p13 @p12)) % 5.73/5.92 (step @p15 :rule symm :premises (@p14)) % 5.73/5.92 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 (or @t58 @t76)))) % 5.73/5.92 (step @p17 :rule trans :premises (@p16 @p9)) % 5.73/5.92 (step @p18 :rule trans :premises (@p17 @p8)) % 5.73/5.92 (step @p19 :rule refl :args (@t76)) % 5.73/5.92 (step @p20 :rule refl :args (@t57)) % 5.73/5.92 (step @p21 :rule refl :args (@t3)) % 5.73/5.92 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t57))) % 5.73/5.92 (step @p23 :rule symm :premises (@p22)) % 5.73/5.92 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 5.73/5.92 (step @p25 :rule cong :premises (@p24) :args (@t77)) % 5.73/5.92 (step @p26 :rule nary_cong :premises (@p25 @p19) :args (@t78)) % 5.73/5.92 (step @p27 :rule cong :premises (@p26) :args ((forall @t5 @t78))) % 5.73/5.92 (step @p28 :rule trans :premises (@p27 @p18)) % 5.73/5.92 (step @p29 :rule bool-impl-elim :args (@t3 @t76)) % 5.73/5.92 (step @p30 :rule cong :premises (@p29) :args ((forall @t5 (=> @t3 @t76)))) % 5.73/5.92 (step @p31 :rule trans :premises (@p30 @p28)) % 5.73/5.92 (step @p32 :rule beta-reduce :args ((= (_ @t81 tptp.c0) @t76))) % 5.73/5.92 (step @p33 :rule refl :args (tptp.c0)) % 5.73/5.92 (step @p34 :rule beta-reduce :args ((= @t82 @t81))) % 5.73/5.92 (step @p35 :rule ho_cong :premises (@p34 @p33)) % 5.73/5.92 (step @p36 :rule trans :premises (@p35 @p32)) % 5.73/5.92 (step @p37 :rule refl :args (@t3)) % 5.73/5.92 (step @p38 :rule cong :premises (@p37 @p36) :args (@t83)) % 5.73/5.92 (step @p39 :rule cong :premises (@p38) :args (@t84)) % 5.73/5.92 (step @p40 :rule trans :premises (@p39 @p31)) % 5.73/5.92 (step @p41 :rule cong :premises (@p40) :args (@t85)) % 5.73/5.92 (step @p42 :rule trans :premises (@p41 @p6)) % 5.73/5.92 (step @p43 :rule cong :premises (@p42) :args ((not @t85))) % 5.73/5.92 (step @p44 :rule trans :premises (@p43 @p5)) % 5.73/5.92 (step @p45 :rule refl :args (@t1)) % 5.73/5.92 (step @p46 :rule refl :args (@t79)) % 5.73/5.92 (step @p47 :rule refl :args (@t27)) % 5.73/5.92 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t27 @t79))) % 5.73/5.92 (step @p49 :rule symm :premises (@p48)) % 5.73/5.92 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 5.73/5.92 (step @p51 :rule refl :args (@t73)) % 5.73/5.92 (step @p52 :rule refl :args (@t74)) % 5.73/5.92 (step @p53 :rule refl :args (@t33)) % 5.73/5.92 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t33 @t74))) % 5.73/5.92 (step @p55 :rule symm :premises (@p54)) % 5.73/5.92 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 5.73/5.92 (step @p57 :rule cong :premises (@p56) :args (@t86)) % 5.73/5.92 (step @p58 :rule nary_cong :premises (@p57 @p51 @p50) :args (@t87)) % 5.73/5.92 (step @p59 :rule cong :premises (@p58) :args ((forall @t36 @t87))) % 5.73/5.92 (step @p60 :rule aci_norm :args ((= (or (or @t86 @t73) @t27) @t87))) % 5.73/5.92 (step @p61 :rule bool-and-de-morgan :args (@t33 @t72 true)) % 5.73/5.92 (step @p62 :rule nary_cong :premises (@p61 @p47) :args ((or (not @t88) @t27))) % 5.73/5.92 (step @p63 :rule trans :premises (@p62 @p60)) % 5.73/5.92 (step @p64 :rule bool-impl-elim :args (@t88 @t27)) % 5.73/5.92 (step @p65 :rule trans :premises (@p64 @p63)) % 5.73/5.92 (step @p66 :rule cong :premises (@p65) :args ((forall @t36 (=> @t88 @t27)))) % 5.73/5.92 (step @p67 :rule trans :premises (@p66 @p59)) % 5.73/5.92 (step @p68 :rule refl :args (@t27)) % 5.73/5.92 (step @p69 :rule refl :args ((_ @t26 @t92))) % 5.73/5.92 (step @p70 :rule refl :args ((_ @t28 @t90))) % 5.73/5.92 (step @p71 :rule refl :args (@t42)) % 5.73/5.92 (step @p72 :rule refl :args (@t43)) % 5.73/5.92 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t44)) % 5.73/5.92 (step @p74 :rule cong :premises (@p73) :args (@t45)) % 5.73/5.92 (step @p75 :rule cong :premises (@p74) :args (@t46)) % 5.73/5.92 (step @p76 :rule trans :premises (@p75 @p70)) % 5.73/5.92 (step @p77 :rule cong :premises (@p76) :args (@t47)) % 5.73/5.92 (step @p78 :rule refl :args (@t48)) % 5.73/5.92 (step @p79 :rule cong :premises (@p78) :args (@t49)) % 5.73/5.92 (step @p80 :rule nary_cong :premises (@p79 @p77) :args (@t50)) % 5.73/5.92 (step @p81 :rule cong :premises (@p80) :args (@t51)) % 5.73/5.92 (step @p82 :rule cong :premises (@p81) :args (@t52)) % 5.73/5.92 (step @p83 :rule cong :premises (@p82) :args (@t54)) % 5.73/5.92 (step @p84 :rule cong :premises (@p83) :args (@t70)) % 5.73/5.92 (step @p85 :rule trans :premises (@p84 @p69)) % 5.73/5.92 (step @p86 :rule refl :args (@t26)) % 5.73/5.92 (step @p87 :rule ho_cong :premises (@p86 @p83)) % 5.73/5.92 (step @p88 :rule cong :premises (@p87 @p85) :args ((= @t93 @t70))) % 5.73/5.92 (step @p89 :rule symm :premises (@p88)) % 5.73/5.92 (step @p90 :rule refl :args ((_ @t26 @t92))) % 5.73/5.92 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 5.73/5.92 (step @p92 :rule refl :args (@t71)) % 5.73/5.92 (step @p93 :rule refl :args (@t29)) % 5.73/5.92 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t29 @t71))) % 5.73/5.92 (step @p95 :rule symm :premises (@p94)) % 5.73/5.92 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 5.73/5.92 (step @p97 :rule cong :premises (@p96) :args (@t94)) % 5.73/5.92 (step @p98 :rule nary_cong :premises (@p97 @p91) :args (@t95)) % 5.73/5.92 (step @p99 :rule cong :premises (@p98) :args ((forall @t31 @t95))) % 5.73/5.92 (step @p100 :rule bool-impl-elim :args (@t29 @t93)) % 5.73/5.92 (step @p101 :rule cong :premises (@p100) :args ((forall @t31 (=> @t29 @t93)))) % 5.73/5.92 (step @p102 :rule trans :premises (@p101 @p99)) % 5.73/5.92 (step @p103 :rule beta-reduce :args ((= @t97 @t54))) % 5.73/5.92 (step @p104 :rule refl :args (@t26)) % 5.73/5.92 (step @p105 :rule ho_cong :premises (@p104 @p103)) % 5.73/5.92 (step @p106 :rule refl :args (@t29)) % 5.73/5.92 (step @p107 :rule cong :premises (@p106 @p105) :args (@t98)) % 5.73/5.92 (step @p108 :rule cong :premises (@p107) :args (@t99)) % 5.73/5.92 (step @p109 :rule trans :premises (@p108 @p102)) % 5.73/5.92 (step @p110 :rule refl :args (@t33)) % 5.73/5.92 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t100)) % 5.73/5.92 (step @p112 :rule cong :premises (@p111 @p68) :args (@t101)) % 5.73/5.92 (step @p113 :rule cong :premises (@p112) :args ((forall @t36 @t101))) % 5.73/5.92 (step @p114 :rule trans :premises (@p113 @p67)) % 5.73/5.92 (step @p115 :rule refl :args (@t28)) % 5.73/5.92 (step @p116 :rule refl :args ((_ @t18 @t90))) % 5.73/5.92 (step @p117 :rule cong :premises (@p74) :args (@t96)) % 5.73/5.92 (step @p118 :rule trans :premises (@p117 @p116)) % 5.73/5.92 (step @p119 :rule refl :args (@t18)) % 5.73/5.92 (step @p120 :rule ho_cong :premises (@p119 @p74)) % 5.73/5.92 (step @p121 :rule cong :premises (@p120 @p118) :args ((= (_ @t18 @t45) @t96))) % 5.73/5.92 (step @p122 :rule symm :premises (@p121)) % 5.73/5.92 (step @p123 :rule refl :args (@t102)) % 5.73/5.92 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 5.73/5.92 (step @p125 :rule refl :args (@t12)) % 5.73/5.92 (step @p126 :rule cong :premises (@p125 @p71) :args ((= @t12 @t42))) % 5.73/5.92 (step @p127 :rule symm :premises (@p126)) % 5.73/5.92 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 5.73/5.92 (step @p129 :rule nary_cong :premises (@p72 @p128) :args (@t89)) % 5.73/5.92 (step @p130 :rule cong :premises (@p129) :args (@t90)) % 5.73/5.92 (step @p131 :rule ho_cong :premises (@p119 @p130)) % 5.73/5.92 (step @p132 :rule trans :premises (@p131 @p124)) % 5.73/5.92 (step @p133 :rule cong :premises (@p132) :args (@t103)) % 5.73/5.92 (step @p134 :rule refl :args (@t19)) % 5.73/5.92 (step @p135 :rule cong :premises (@p134 @p78) :args ((= @t19 @t48))) % 5.73/5.93 (step @p136 :rule symm :premises (@p135)) % 5.73/5.93 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 5.73/5.93 (step @p138 :rule cong :premises (@p137) :args (@t91)) % 5.73/5.93 (step @p139 :rule nary_cong :premises (@p138 @p133) :args (@t104)) % 5.73/5.93 (step @p140 :rule cong :premises (@p139) :args ((forall @t21 @t104))) % 5.73/5.93 (step @p141 :rule bool-and-de-morgan :args (@t19 @t102 true)) % 5.73/5.93 (step @p142 :rule cong :premises (@p141) :args (@t106)) % 5.73/5.93 (step @p143 :rule trans :premises (@p142 @p140)) % 5.73/5.93 (step @p144 :rule cong :premises (@p143) :args (@t107)) % 5.73/5.93 (step @p145 :rule exists-elim :args ((= (exists @t21 @t105) @t107))) % 5.73/5.93 (step @p146 :rule trans :premises (@p145 @p144)) % 5.73/5.93 (step @p147 :rule refl :args (@t12)) % 5.73/5.93 (step @p148 :rule eq-symm :args (@t10 @t13)) % 5.73/5.93 (step @p149 :rule cong :premises (@p148) :args (@t14)) % 5.73/5.93 (step @p150 :rule nary_cong :premises (@p149 @p147) :args (@t15)) % 5.73/5.93 (step @p151 :rule cong :premises (@p150) :args (@t17)) % 5.73/5.93 (step @p152 :rule refl :args (@t18)) % 5.73/5.93 (step @p153 :rule ho_cong :premises (@p152 @p151)) % 5.73/5.93 (step @p154 :rule refl :args (@t19)) % 5.73/5.93 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t20)) % 5.73/5.93 (step @p156 :rule cong :premises (@p155) :args (@t22)) % 5.73/5.93 (step @p157 :rule trans :premises (@p156 @p146)) % 5.73/5.93 (step @p158 :rule cong :premises (@p157) :args (@t24)) % 5.73/5.93 (step @p159 :rule trans :premises (@p3 @p158)) % 5.73/5.93 (step @p160 :rule ho_cong :premises (@p159 @p115)) % 5.73/5.93 (step @p161 :rule ho_cong :premises (@p104 @p160)) % 5.73/5.93 (step @p162 :rule cong :premises (@p106 @p161) :args (@t30)) % 5.73/5.93 (step @p163 :rule cong :premises (@p162) :args (@t32)) % 5.73/5.93 (step @p164 :rule nary_cong :premises (@p110 @p163) :args (@t34)) % 5.73/5.93 (step @p165 :rule cong :premises (@p164 @p68) :args (@t35)) % 5.73/5.93 (step @p166 :rule cong :premises (@p165) :args (@t37)) % 5.73/5.93 (step @p167 :rule trans :premises (@p166 @p114)) % 5.73/5.93 (step @p168 :rule cong :premises (@p167) :args (@t39)) % 5.73/5.93 (step @p169 :rule trans :premises (@p4 @p168)) % 5.73/5.93 (step @p170 :rule ho_cong :premises (@p169 @p45)) % 5.73/5.93 (step @p171 :rule ho_cong :premises (@p170 @p33)) % 5.73/5.93 (step @p172 :rule cong :premises (@p37 @p171) :args (@t4)) % 5.73/5.93 (step @p173 :rule cong :premises (@p172) :args (@t6)) % 5.73/5.93 (step @p174 :rule cong :premises (@p173) :args (@t8)) % 5.73/5.93 (step @p175 :rule cong :premises (@p174) :args (@t9)) % 5.73/5.93 (step @p176 :rule trans :premises (@p175 @p44)) % 5.73/5.93 (step @p177 :rule eq_resolve :premises (@p1 @p176)) % 5.73/5.93 (step @p178 :rule bool-impl-false1 :args (@t62)) % 5.73/5.93 (step @p179 :rule evaluate :args ((not true))) % 5.73/5.93 (step @p180 :rule quant-unused-vars :args ((= (forall @t60 true) true))) % 5.73/5.93 (step @p181 :rule absorb :args ((= (or true @t56 @t55 @t41) true))) % 5.73/5.93 (step @p182 :rule refl :args (@t41)) % 5.73/5.93 (step @p183 :rule refl :args (@t55)) % 5.73/5.93 (step @p184 :rule refl :args (@t56)) % 5.73/5.93 (step @p185 :rule evaluate :args ((not false))) % 5.73/5.93 (step @p186 :rule beta-reduce :args ((= @t109 false))) % 5.73/5.93 (step @p187 :rule cong :premises (@p186) :args (@t110)) % 5.73/5.93 (step @p188 :rule trans :premises (@p187 @p185)) % 5.73/5.93 (step @p189 :rule nary_cong :premises (@p188 @p184 @p183 @p182) :args (@t111)) % 5.73/5.93 (step @p190 :rule trans :premises (@p189 @p181)) % 5.73/5.93 (step @p191 :rule cong :premises (@p190) :args (@t112)) % 5.73/5.93 (step @p192 :rule trans :premises (@p191 @p180)) % 5.73/5.93 (step @p193 :rule cong :premises (@p192) :args (@t113)) % 5.73/5.93 (step @p194 :rule trans :premises (@p193 @p179)) % 5.73/5.93 (step @p195 :rule refl :args (@t62)) % 5.73/5.93 (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t62 @t113))) % 5.73/5.93 (step @p197 :rule trans :premises (@p196 @p178)) % 5.73/5.93 (assume-push @p204 @t62) % 5.73/5.93 (step @p199 :rule instantiate :premises (@p177) :args ((@list @t108))) % 5.73/5.93 (step-pop @p205 :rule scope :premises (@p199)) % 5.73/5.93 (step @p200 :rule process_scope :premises (@p205) :args (@t113)) % 5.73/5.93 (step @p202 :rule eq_resolve :premises (@p200 @p197)) % 5.73/5.93 (step @p203 false :rule chain_m_resolution :premises (@p202 @p177) :args (false (@list false) (@list @t62))) % 5.73/5.93 ) % 5.73/5.93 % SZS output end Proof % 5.73/5.93 % cvc5 exiting %------------------------------------------------------------------------------