%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU310+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:51:20 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU310+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:55:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.37/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "A" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.cast_as_carrier_subset @t3)) % 0.37/0.59 (define @t5 () (tptp.in (tptp.set_difference @t4 @t2) @t1)) % 0.37/0.59 (define @t6 () (tptp.powerset (tptp.the_carrier @t3))) % 0.37/0.59 (define @t7 () (tptp.in @t2 @t6)) % 0.37/0.59 (define @t8 () (and @t7 @t5)) % 0.37/0.59 (define @t9 () (@var "C" $$unsorted)) % 0.37/0.59 (define @t10 () (tptp.in @t2 @t9)) % 0.37/0.59 (define @t11 () (@list @t2)) % 0.37/0.59 (define @t12 () (forall @t11 (= @t10 @t8))) % 0.37/0.59 (define @t13 () (@list @t9)) % 0.37/0.59 (define @t14 () (exists @t13 @t12)) % 0.37/0.59 (define @t15 () (tptp.element @t1 (tptp.powerset @t6))) % 0.37/0.59 (define @t16 () (tptp.top_str @t3)) % 0.37/0.59 (define @t17 () (tptp.topological_space @t3)) % 0.37/0.59 (define @t18 () (and @t17 @t16 @t15)) % 0.37/0.59 (define @t19 () (=> @t18 @t14)) % 0.37/0.59 (define @t20 () (@list @t3 @t1)) % 0.37/0.59 (define @t21 () (forall @t20 @t19)) % 0.37/0.59 (define @t22 () (not @t21)) % 0.37/0.59 (define @t23 () (tptp.v4_membered @t3)) % 0.37/0.59 (define @t24 () (tptp.v5_membered @t3)) % 0.37/0.59 (define @t25 () (@list @t3)) % 0.37/0.59 (define @t26 () (tptp.v3_membered @t3)) % 0.37/0.59 (define @t27 () (tptp.v2_membered @t3)) % 0.37/0.59 (define @t28 () (tptp.v1_membered @t3)) % 0.37/0.59 (define @t29 () (tptp.empty @t3)) % 0.37/0.59 (define @t30 () (not @t29)) % 0.37/0.59 (define @t31 () (tptp.v1_xcmplx_0 @t1)) % 0.37/0.59 (define @t32 () (tptp.element @t1 @t3)) % 0.37/0.59 (define @t33 () (@list @t1)) % 0.37/0.59 (define @t34 () (tptp.v1_xreal_0 @t1)) % 0.37/0.59 (define @t35 () (tptp.v1_rat_1 @t1)) % 0.37/0.59 (define @t36 () (tptp.v1_int_1 @t1)) % 0.37/0.59 (define @t37 () (tptp.v1_membered @t1)) % 0.37/0.59 (define @t38 () (tptp.powerset @t3)) % 0.37/0.59 (define @t39 () (tptp.element @t1 @t38)) % 0.37/0.59 (define @t40 () (tptp.v2_membered @t1)) % 0.37/0.59 (define @t41 () (tptp.v3_membered @t1)) % 0.37/0.59 (define @t42 () (tptp.v4_membered @t1)) % 0.37/0.59 (define @t43 () (tptp.set_difference @t3 @t1)) % 0.37/0.59 (define @t44 () (tptp.v1_membered @t43)) % 0.37/0.59 (define @t45 () (tptp.v2_membered @t43)) % 0.37/0.59 (define @t46 () (tptp.v3_membered @t43)) % 0.37/0.59 (define @t47 () (tptp.v4_membered @t43)) % 0.37/0.59 (define @t48 () (and @t17 @t16)) % 0.37/0.59 (define @t49 () (tptp.empty @t1)) % 0.37/0.59 (define @t50 () (tptp.one_sorted_str @t3)) % 0.37/0.59 (define @t51 () (@var "E" $$unsorted)) % 0.37/0.59 (define @t52 () (= @t51 @t2)) % 0.37/0.59 (define @t53 () (tptp.in @t51 @t6)) % 0.37/0.59 (define @t54 () (and @t53 @t52 @t5)) % 0.37/0.59 (define @t55 () (@list @t51)) % 0.37/0.59 (define @t56 () (exists @t55 @t54)) % 0.37/0.59 (define @t57 () (= @t10 @t56)) % 0.37/0.59 (define @t58 () (forall @t11 @t57)) % 0.37/0.59 (define @t59 () (exists @t13 @t58)) % 0.37/0.59 (define @t60 () (= @t2 @t51)) % 0.37/0.59 (define @t61 () (tptp.in (tptp.set_difference @t4 @t51) @t1)) % 0.37/0.59 (define @t62 () (= @t9 @t51)) % 0.37/0.59 (define @t63 () (= @t9 @t2)) % 0.37/0.59 (define @t64 () (and @t63 @t5 @t62 @t61)) % 0.37/0.59 (define @t65 () (@list @t9 @t2 @t51)) % 0.37/0.59 (define @t66 () (forall @t65 (=> @t64 @t60))) % 0.37/0.59 (define @t67 () (=> @t66 @t59)) % 0.37/0.59 (define @t68 () (=> @t18 @t67)) % 0.37/0.59 (define @t69 () (forall @t20 @t68)) % 0.37/0.59 (define @t70 () (not (forall @t13 (not @t12)))) % 0.37/0.59 (define @t71 () (not @t15)) % 0.37/0.59 (define @t72 () (not @t16)) % 0.37/0.59 (define @t73 () (not @t17)) % 0.37/0.59 (define @t74 () (or @t73 @t72 @t71 @t70)) % 0.37/0.59 (define @t75 () (or @t73 @t72 @t71)) % 0.37/0.59 (define @t76 () (not @t18)) % 0.37/0.59 (define @t77 () (and @t5 @t7)) % 0.37/0.59 (define @t78 () (= @t10 @t77)) % 0.37/0.59 (define @t79 () (forall @t11 @t78)) % 0.37/0.59 (define @t80 () (not @t79)) % 0.37/0.59 (define @t81 () (forall @t13 @t80)) % 0.37/0.59 (define @t82 () (not @t81)) % 0.37/0.59 (define @t83 () (or @t73 @t72 @t71 @t82)) % 0.37/0.59 (define @t84 () (forall @t20 @t83)) % 0.37/0.59 (define @t85 () (forall @t20 @t74)) % 0.37/0.59 (define @t86 () (@list true)) % 0.37/0.59 (define @t87 () (not @t7)) % 0.37/0.59 (define @t88 () (not @t5)) % 0.37/0.59 (define @t89 () (= @t10 (not (or @t88 @t87)))) % 0.37/0.59 (define @t90 () (not (= @t2 @t2))) % 0.37/0.59 (define @t91 () (or @t87 @t90)) % 0.37/0.59 (define @t92 () (not @t60)) % 0.37/0.59 (define @t93 () (not @t53)) % 0.37/0.59 (define @t94 () (or @t92 @t93 @t92)) % 0.37/0.59 (define @t95 () (or @t93 @t92)) % 0.37/0.59 (define @t96 () (forall @t55 @t95)) % 0.37/0.59 (define @t97 () (or @t88 @t96)) % 0.37/0.59 (define @t98 () (or @t88 @t95)) % 0.37/0.59 (define @t99 () (or @t93 @t92 @t88)) % 0.37/0.59 (define @t100 () (and @t53 @t60 @t5)) % 0.37/0.59 (define @t101 () (forall @t55 (not @t100))) % 0.37/0.59 (define @t102 () (not @t101)) % 0.37/0.59 (define @t103 () (@list @t2 @t51)) % 0.37/0.59 (define @t104 () (not @t61)) % 0.37/0.59 (define @t105 () (or @t88 @t92 @t104 @t60)) % 0.37/0.59 (define @t106 () (or @t90 @t88 @t92 @t104 @t60)) % 0.37/0.59 (define @t107 () (not @t62)) % 0.37/0.59 (define @t108 () (not @t63)) % 0.37/0.59 (define @t109 () (or @t108 @t108 @t88 @t107 @t104 @t60)) % 0.37/0.59 (define @t110 () (or @t108 @t88 @t107 @t104 @t60)) % 0.37/0.59 (define @t111 () (forall @t13 @t110)) % 0.37/0.59 (define @t112 () (forall @t103 @t111)) % 0.37/0.59 (define @t113 () (forall (@list @t2 @t51 @t9) @t110)) % 0.37/0.59 (define @t114 () (or @t108 @t88 @t107 @t104)) % 0.37/0.59 (assume @p1 @t22) % 0.37/0.59 (assume @p2 (forall @t25 (=> @t24 @t23))) % 0.37/0.59 (assume @p3 (forall @t25 (=> @t23 @t26))) % 0.37/0.59 (assume @p4 (forall @t25 (=> @t26 @t27))) % 0.37/0.59 (assume @p5 (forall @t25 (=> @t27 @t28))) % 0.37/0.59 (assume @p6 (exists @t25 (and @t30 @t28 @t27 @t26 @t23 @t24))) % 0.37/0.59 (assume @p7 (forall @t25 (=> @t28 (forall @t33 (=> @t32 @t31))))) % 0.37/0.59 (assume @p8 (forall @t25 (=> @t27 (forall @t33 (=> @t32 (and @t31 @t34)))))) % 0.37/0.59 (assume @p9 (forall @t25 (=> @t26 (forall @t33 (=> @t32 (and @t31 @t34 @t35)))))) % 0.37/0.59 (assume @p10 (forall @t25 (=> @t23 (forall @t33 (=> @t32 (and @t31 @t34 @t36 @t35)))))) % 0.37/0.60 (assume @p11 (forall @t25 (=> @t24 (forall @t33 (=> @t32 (and @t31 (tptp.natural @t1) @t34 @t36 @t35)))))) % 0.37/0.60 (assume @p12 (forall @t25 (=> @t28 (forall @t33 (=> @t39 @t37))))) % 0.37/0.60 (assume @p13 (forall @t25 (=> @t27 (forall @t33 (=> @t39 (and @t37 @t40)))))) % 0.37/0.60 (assume @p14 (forall @t25 (=> @t26 (forall @t33 (=> @t39 (and @t37 @t40 @t41)))))) % 0.37/0.60 (assume @p15 (forall @t25 (=> @t23 (forall @t33 (=> @t39 (and @t37 @t40 @t41 @t42)))))) % 0.37/0.60 (assume @p16 (forall @t25 (=> @t24 (forall @t33 (=> @t39 (and @t37 @t40 @t41 @t42 (tptp.v5_membered @t1))))))) % 0.37/0.60 (assume @p17 (forall @t20 (=> @t28 @t44))) % 0.37/0.60 (assume @p18 (forall @t20 (=> @t27 (and @t44 @t45)))) % 0.37/0.60 (assume @p19 (forall @t20 (=> @t26 (and @t44 @t45 @t46)))) % 0.37/0.60 (assume @p20 (forall @t20 (=> @t23 (and @t44 @t45 @t46 @t47)))) % 0.37/0.60 (assume @p21 (forall @t20 (=> @t24 (and @t44 @t45 @t46 @t47 (tptp.v5_membered @t43))))) % 0.37/0.60 (assume @p22 true) % 0.37/0.60 (assume @p23 (forall @t25 (=> @t48 (exists @t33 (and (tptp.element @t1 @t6) (tptp.closed_subset @t1 @t3)))))) % 0.37/0.60 (assume @p24 (forall @t25 (=> @t30 (exists @t33 (and @t39 (not @t49)))))) % 0.37/0.60 (assume @p25 (forall @t25 (exists @t33 (and @t39 @t49)))) % 0.37/0.60 (assume @p26 (forall @t25 (=> @t29 (and @t28 @t27 @t26 @t23 @t24)))) % 0.37/0.60 (assume @p27 (forall @t20 (=> (tptp.in @t3 @t1) (not (tptp.in @t1 @t3))))) % 0.37/0.60 (assume @p28 (forall @t25 (=> @t50 (tptp.element @t4 @t6)))) % 0.37/0.60 (assume @p29 (forall @t25 (=> @t16 @t50))) % 0.37/0.60 (assume @p30 (forall @t25 (=> @t48 (tptp.closed_subset @t4 @t3)))) % 0.37/0.60 (assume @p31 (forall @t25 (not (tptp.empty @t38)))) % 0.37/0.60 (assume @p32 @t69) % 0.37/0.60 (step @p33 :rule aci_norm :args ((= (or @t75 @t70) @t74))) % 0.37/0.60 (step @p34 :rule refl :args (@t70)) % 0.37/0.60 (step @p35 :rule aci_norm :args ((= (or @t73 (or @t72 @t71)) @t75))) % 0.37/0.60 (step @p36 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.37/0.60 (step @p37 :rule refl :args (@t73)) % 0.37/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t73 (not (and @t16 @t15))))) % 0.37/0.60 (step @p39 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15))) % 0.37/0.60 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.60 (step @p41 :rule trans :premises (@p40 @p35)) % 0.37/0.60 (step @p42 :rule nary_cong :premises (@p41 @p34) :args ((or @t76 @t70))) % 0.37/0.60 (step @p43 :rule trans :premises (@p42 @p33)) % 0.37/0.60 (step @p44 :rule bool-impl-elim :args (@t18 @t70)) % 0.37/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.37/0.60 (step @p46 :rule cong :premises (@p45) :args ((forall @t20 (=> @t18 @t70)))) % 0.37/0.60 (step @p47 :rule exists-elim :args ((= @t14 @t70))) % 0.37/0.60 (step @p48 :rule refl :args (@t18)) % 0.37/0.60 (step @p49 :rule cong :premises (@p48 @p47) :args (@t19)) % 0.37/0.60 (step @p50 :rule cong :premises (@p49) :args (@t21)) % 0.37/0.60 (step @p51 :rule trans :premises (@p50 @p46)) % 0.37/0.60 (step @p52 :rule cong :premises (@p51) :args (@t22)) % 0.37/0.60 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.37/0.60 (step @p54 :rule aci_norm :args ((= @t77 @t8))) % 0.37/0.60 (step @p55 :rule refl :args (@t10)) % 0.37/0.60 (step @p56 :rule cong :premises (@p55 @p54) :args (@t78)) % 0.37/0.60 (step @p57 :rule cong :premises (@p56) :args (@t79)) % 0.37/0.60 (step @p58 :rule cong :premises (@p57) :args (@t80)) % 0.37/0.60 (step @p59 :rule cong :premises (@p58) :args (@t81)) % 0.37/0.60 (step @p60 :rule cong :premises (@p59) :args (@t82)) % 0.37/0.60 (step @p61 :rule refl :args (@t71)) % 0.37/0.60 (step @p62 :rule refl :args (@t72)) % 0.37/0.60 (step @p63 :rule nary_cong :premises (@p37 @p62 @p61 @p60) :args (@t83)) % 0.37/0.60 (step @p64 :rule cong :premises (@p63) :args (@t84)) % 0.37/0.60 (step @p65 :rule true_intro :premises (@p64)) % 0.37/0.60 (step @p66 :rule eq-symm :args (@t85 @t84)) % 0.37/0.60 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.60 (step @p68 :rule true_elim :premises (@p67)) % 0.37/0.60 (step @p69 :rule equiv_elim2 :premises (@p68)) % 0.37/0.60 (step @p70 :rule chain_m_resolution :premises (@p69 @p53) :args ((not @t84) @t86 (@list @t85))) % 0.37/0.60 (step @p71 :rule aci_norm :args ((= (or @t75 @t82) @t83))) % 0.37/0.60 (step @p72 :rule refl :args (@t82)) % 0.37/0.60 (step @p73 :rule nary_cong :premises (@p41 @p72) :args ((or @t76 @t82))) % 0.37/0.60 (step @p74 :rule trans :premises (@p73 @p71)) % 0.37/0.60 (step @p75 :rule bool-impl-elim :args (@t18 @t82)) % 0.37/0.60 (step @p76 :rule trans :premises (@p75 @p74)) % 0.37/0.60 (step @p77 :rule cong :premises (@p76) :args ((forall @t20 (=> @t18 @t82)))) % 0.37/0.60 (step @p78 :rule bool-impl-true2 :args (@t82)) % 0.37/0.60 (step @p79 :rule exists-elim :args ((= (exists @t13 @t79) @t82))) % 0.37/0.60 (step @p80 :rule bool-double-not-elim :args (@t7)) % 0.37/0.60 (step @p81 :rule bool-double-not-elim :args (@t5)) % 0.37/0.60 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((and (not @t88) (not @t87)))) % 0.37/0.60 (step @p83 :rule bool-or-de-morgan :args (@t88 @t87 false)) % 0.37/0.60 (step @p84 :rule trans :premises (@p83 @p82)) % 0.37/0.60 (step @p85 :rule cong :premises (@p55 @p84) :args (@t89)) % 0.37/0.60 (step @p86 :rule cong :premises (@p85) :args ((forall @t11 @t89))) % 0.37/0.60 (step @p87 :rule aci_norm :args ((= (or @t87 false) @t87))) % 0.37/0.60 (step @p88 :rule evaluate :args ((not true))) % 0.37/0.60 (step @p89 :rule eq-refl :args (@t2)) % 0.37/0.60 (step @p90 :rule cong :premises (@p89) :args (@t90)) % 0.37/0.60 (step @p91 :rule trans :premises (@p90 @p88)) % 0.37/0.60 (step @p92 :rule refl :args (@t87)) % 0.37/0.60 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t91)) % 0.37/0.60 (step @p94 :rule trans :premises (@p93 @p87)) % 0.37/0.60 (step @p95 :rule quant-var-elim-eq :args ((= (forall @t55 (or (not @t52) @t93 @t92)) @t91))) % 0.37/0.60 (step @p96 :rule refl :args (@t92)) % 0.37/0.60 (step @p97 :rule refl :args (@t93)) % 0.37/0.60 (step @p98 :rule eq-symm :args (@t2 @t51)) % 0.37/0.60 (step @p99 :rule cong :premises (@p98) :args (@t92)) % 0.37/0.60 (step @p100 :rule nary_cong :premises (@p99 @p97 @p96) :args (@t94)) % 0.37/0.60 (step @p101 :rule aci_norm :args ((= @t95 @t94))) % 0.37/0.60 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.60 (step @p103 :rule cong :premises (@p102) :args (@t96)) % 0.37/0.60 (step @p104 :rule trans :premises (@p103 @p95)) % 0.37/0.60 (step @p105 :rule trans :premises (@p104 @p94)) % 0.37/0.60 (step @p106 :rule refl :args (@t88)) % 0.37/0.60 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t97)) % 0.37/0.60 (step @p108 :rule quant-miniscope-or :args ((= (forall @t55 @t98) @t97))) % 0.37/0.60 (step @p109 :rule aci_norm :args ((= @t99 @t98))) % 0.37/0.60 (step @p110 :rule cong :premises (@p109) :args ((forall @t55 @t99))) % 0.37/0.60 (step @p111 :rule trans :premises (@p110 @p108)) % 0.37/0.60 (step @p112 :rule trans :premises (@p111 @p107)) % 0.37/0.60 (step @p113 :rule aci_norm :args ((= (or @t93 (or @t92 @t88)) @t99))) % 0.37/0.60 (step @p114 :rule bool-and-de-morgan :args (@t60 @t5 true)) % 0.37/0.60 (step @p115 :rule nary_cong :premises (@p97 @p114) :args ((or @t93 (not (and @t60 @t5))))) % 0.37/0.60 (step @p116 :rule bool-and-de-morgan :args (@t53 @t60 (and @t5))) % 0.37/0.60 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.60 (step @p118 :rule trans :premises (@p117 @p113)) % 0.37/0.60 (step @p119 :rule cong :premises (@p118) :args (@t101)) % 0.37/0.60 (step @p120 :rule trans :premises (@p119 @p112)) % 0.37/0.60 (step @p121 :rule cong :premises (@p120) :args (@t102)) % 0.37/0.60 (step @p122 :rule exists-elim :args ((= (exists @t55 @t100) @t102))) % 0.37/0.60 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.60 (step @p124 :rule refl :args (@t5)) % 0.37/0.60 (step @p125 :rule eq-symm :args (@t51 @t2)) % 0.37/0.60 (step @p126 :rule refl :args (@t53)) % 0.37/0.60 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t54)) % 0.37/0.60 (step @p128 :rule cong :premises (@p127) :args (@t56)) % 0.37/0.60 (step @p129 :rule trans :premises (@p128 @p123)) % 0.37/0.60 (step @p130 :rule refl :args (@t10)) % 0.37/0.60 (step @p131 :rule cong :premises (@p130 @p129) :args (@t57)) % 0.37/0.60 (step @p132 :rule cong :premises (@p131) :args (@t58)) % 0.37/0.60 (step @p133 :rule trans :premises (@p132 @p86)) % 0.37/0.60 (step @p134 :rule cong :premises (@p133) :args (@t59)) % 0.37/0.60 (step @p135 :rule trans :premises (@p134 @p79)) % 0.37/0.60 (step @p136 :rule quant-unused-vars :args ((= (forall @t103 true) true))) % 0.37/0.60 (step @p137 :rule bool-or-taut2 :args ((or @t88) @t60 (or @t104) false)) % 0.37/0.60 (step @p138 :rule cong :premises (@p137) :args ((forall @t103 @t105))) % 0.37/0.60 (step @p139 :rule trans :premises (@p138 @p136)) % 0.37/0.60 (step @p140 :rule aci_norm :args ((= (or false @t88 @t92 @t104 @t60) @t105))) % 0.37/0.60 (step @p141 :rule refl :args (@t60)) % 0.37/0.60 (step @p142 :rule refl :args (@t104)) % 0.37/0.60 (step @p143 :rule refl :args (@t92)) % 0.37/0.60 (step @p144 :rule nary_cong :premises (@p91 @p106 @p143 @p142 @p141) :args (@t106)) % 0.37/0.60 (step @p145 :rule trans :premises (@p144 @p140)) % 0.37/0.60 (step @p146 :rule cong :premises (@p145) :args ((forall @t103 @t106))) % 0.37/0.60 (step @p147 :rule trans :premises (@p146 @p139)) % 0.37/0.60 (step @p148 :rule quant-var-elim-eq :args ((= (forall @t13 @t109) @t106))) % 0.37/0.60 (step @p149 :rule aci_norm :args ((= @t110 @t109))) % 0.37/0.60 (step @p150 :rule cong :premises (@p149) :args (@t111)) % 0.37/0.60 (step @p151 :rule trans :premises (@p150 @p148)) % 0.37/0.60 (step @p152 :rule cong :premises (@p151) :args (@t112)) % 0.37/0.60 (step @p153 :rule quant-merge-prenex :args ((= @t112 @t113))) % 0.37/0.60 (step @p154 :rule symm :premises (@p153)) % 0.37/0.60 (step @p155 :rule quant_var_reordering :args ((= (forall @t65 @t110) @t113))) % 0.37/0.60 (step @p156 :rule trans :premises (@p155 @p154 @p152)) % 0.37/0.60 (step @p157 :rule trans :premises (@p156 @p147)) % 0.37/0.60 (step @p158 :rule aci_norm :args ((= (or @t114 @t60) @t110))) % 0.37/0.60 (step @p159 :rule refl :args (@t60)) % 0.37/0.60 (step @p160 :rule aci_norm :args ((= (or @t108 (or @t88 (or @t107 @t104))) @t114))) % 0.37/0.60 (step @p161 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 0.37/0.60 (step @p162 :rule refl :args (@t88)) % 0.37/0.60 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t88 (not (and @t62 @t61))))) % 0.37/0.60 (step @p164 :rule bool-and-de-morgan :args (@t5 @t62 (and @t61))) % 0.37/0.60 (step @p165 :rule trans :premises (@p164 @p163)) % 0.37/0.60 (step @p166 :rule refl :args (@t108)) % 0.37/0.60 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t108 (not (and @t5 @t62 @t61))))) % 0.37/0.60 (step @p168 :rule bool-and-de-morgan :args (@t63 @t5 (and @t62 @t61))) % 0.37/0.60 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.60 (step @p170 :rule trans :premises (@p169 @p160)) % 0.37/0.60 (step @p171 :rule nary_cong :premises (@p170 @p159) :args ((or (not @t64) @t60))) % 0.37/0.60 (step @p172 :rule trans :premises (@p171 @p158)) % 0.37/0.60 (step @p173 :rule bool-impl-elim :args (@t64 @t60)) % 0.37/0.60 (step @p174 :rule trans :premises (@p173 @p172)) % 0.37/0.60 (step @p175 :rule cong :premises (@p174) :args (@t66)) % 0.37/0.60 (step @p176 :rule trans :premises (@p175 @p157)) % 0.37/0.60 (step @p177 :rule cong :premises (@p176 @p135) :args (@t67)) % 0.37/0.60 (step @p178 :rule trans :premises (@p177 @p78)) % 0.37/0.60 (step @p179 :rule cong :premises (@p48 @p178) :args (@t68)) % 0.37/0.60 (step @p180 :rule cong :premises (@p179) :args (@t69)) % 0.37/0.60 (step @p181 :rule trans :premises (@p180 @p77)) % 0.37/0.60 (step @p182 :rule eq_resolve :premises (@p32 @p181)) % 0.37/0.60 (step @p183 false :rule chain_m_resolution :premises (@p182 @p70) :args (false @t86 (@list @t84))) % 0.37/0.60 ) % 0.37/0.60 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------