%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU234+3 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:51:04 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU234+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:44:38 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort $$unsorted 0) % 0.39/0.61 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.61 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.61 (declare-const tptp.empty_set $$unsorted) % 0.39/0.61 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.61 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.61 (define @t3 () (tptp.in @t2 @t1)) % 0.39/0.61 (define @t4 () (not @t3)) % 0.39/0.61 (define @t5 () (tptp.in @t1 @t2)) % 0.39/0.61 (define @t6 () (@list @t1 @t2)) % 0.39/0.61 (define @t7 () (tptp.function @t1)) % 0.39/0.61 (define @t8 () (tptp.empty @t1)) % 0.39/0.61 (define @t9 () (@list @t1)) % 0.39/0.61 (define @t10 () (tptp.epsilon_connected @t1)) % 0.39/0.61 (define @t11 () (tptp.epsilon_transitive @t1)) % 0.39/0.61 (define @t12 () (and @t11 @t10)) % 0.39/0.61 (define @t13 () (tptp.ordinal @t1)) % 0.39/0.61 (define @t14 () (tptp.relation @t1)) % 0.39/0.61 (define @t15 () (tptp.one_to_one @t1)) % 0.39/0.61 (define @t16 () (and @t14 @t7 @t15)) % 0.39/0.61 (define @t17 () (and @t14 @t8 @t7)) % 0.39/0.61 (define @t18 () (forall @t9 (=> @t12 @t13))) % 0.39/0.61 (define @t19 () (and @t11 @t10 @t13)) % 0.39/0.61 (define @t20 () (tptp.subset @t2 @t1)) % 0.39/0.61 (define @t21 () (@list @t2)) % 0.39/0.61 (define @t22 () (forall @t21 (=> @t3 @t20))) % 0.39/0.61 (define @t23 () (= @t11 @t22)) % 0.39/0.61 (define @t24 () (forall @t9 @t23)) % 0.39/0.61 (define @t25 () (@var "C" $$unsorted)) % 0.39/0.61 (define @t26 () (tptp.in @t25 @t2)) % 0.39/0.61 (define @t27 () (not @t26)) % 0.39/0.61 (define @t28 () (= @t2 @t25)) % 0.39/0.61 (define @t29 () (not @t28)) % 0.39/0.61 (define @t30 () (tptp.in @t2 @t25)) % 0.39/0.61 (define @t31 () (not @t30)) % 0.39/0.61 (define @t32 () (tptp.in @t25 @t1)) % 0.39/0.61 (define @t33 () (@list @t2 @t25)) % 0.39/0.61 (define @t34 () (forall @t33 (not (and @t3 @t32 @t31 @t29 @t27)))) % 0.39/0.61 (define @t35 () (= @t10 @t34)) % 0.39/0.61 (define @t36 () (forall @t9 @t35)) % 0.39/0.61 (define @t37 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.39/0.61 (define @t38 () (tptp.relation tptp.empty_set)) % 0.39/0.61 (define @t39 () (tptp.empty tptp.empty_set)) % 0.39/0.61 (define @t40 () (not @t8)) % 0.39/0.61 (define @t41 () (tptp.relation_empty_yielding @t1)) % 0.39/0.61 (define @t42 () (tptp.element @t1 @t2)) % 0.39/0.61 (define @t43 () (= @t1 @t2)) % 0.39/0.61 (define @t44 () (not @t43)) % 0.39/0.61 (define @t45 () (not @t5)) % 0.39/0.61 (define @t46 () (not (and @t45 @t44 @t4))) % 0.39/0.61 (define @t47 () (tptp.ordinal @t2)) % 0.39/0.61 (define @t48 () (forall @t21 (=> @t47 @t46))) % 0.39/0.61 (define @t49 () (=> @t13 @t48)) % 0.39/0.61 (define @t50 () (forall @t9 @t49)) % 0.39/0.61 (define @t51 () (tptp.empty @t2)) % 0.39/0.61 (define @t52 () (and @t47 @t20)) % 0.39/0.61 (define @t53 () (forall @t21 (=> @t3 @t52))) % 0.39/0.61 (define @t54 () (=> @t53 @t13)) % 0.39/0.61 (define @t55 () (forall @t9 @t54)) % 0.39/0.61 (define @t56 () (not @t55)) % 0.39/0.61 (define @t57 () (tptp.element @t2 (tptp.powerset @t25))) % 0.39/0.61 (define @t58 () (@list @t1 @t2 @t25)) % 0.39/0.61 (define @t59 () (not @t32)) % 0.39/0.61 (define @t60 () (not @t27)) % 0.39/0.61 (define @t61 () (not @t29)) % 0.39/0.61 (define @t62 () (not @t31)) % 0.39/0.61 (define @t63 () (or @t4 @t59 @t62 @t61 @t60)) % 0.39/0.61 (define @t64 () (forall @t21 (or @t4 @t52))) % 0.39/0.61 (define @t65 () (@quantifiers_skolemize (forall @t9 (or (not @t64) @t13)) 0)) % 0.39/0.61 (define @t66 () (@list @t65)) % 0.39/0.61 (define @t67 () (not @t10)) % 0.39/0.61 (define @t68 () (not @t11)) % 0.39/0.61 (define @t69 () (tptp.subset @t2 @t65)) % 0.39/0.61 (define @t70 () (not (tptp.in @t2 @t65))) % 0.39/0.61 (define @t71 () (forall @t21 (or @t70 @t69))) % 0.39/0.61 (define @t72 () (@quantifiers_skolemize @t71 0)) % 0.39/0.61 (define @t73 () (tptp.in @t72 @t65)) % 0.39/0.61 (define @t74 () (tptp.subset @t72 @t65)) % 0.39/0.61 (define @t75 () (not @t73)) % 0.39/0.61 (define @t76 () (or @t75 @t74)) % 0.39/0.61 (define @t77 () (forall @t21 (or @t70 (and @t47 @t69)))) % 0.39/0.61 (define @t78 () (tptp.ordinal @t65)) % 0.39/0.61 (define @t79 () (not @t77)) % 0.39/0.61 (define @t80 () (or @t79 @t78)) % 0.39/0.61 (define @t81 () (@list true)) % 0.39/0.61 (define @t82 () (@list @t80)) % 0.39/0.61 (define @t83 () (and (tptp.ordinal @t72) @t74)) % 0.39/0.61 (define @t84 () (or @t75 @t83)) % 0.39/0.61 (define @t85 () (not @t76)) % 0.39/0.61 (define @t86 () (not @t71)) % 0.39/0.61 (define @t87 () (@list false)) % 0.39/0.61 (define @t88 () (tptp.epsilon_transitive @t65)) % 0.39/0.61 (define @t89 () (= @t88 @t71)) % 0.39/0.61 (define @t90 () (@list false false)) % 0.39/0.61 (define @t91 () (tptp.epsilon_connected @t65)) % 0.39/0.61 (define @t92 () (not @t91)) % 0.39/0.61 (define @t93 () (not @t88)) % 0.39/0.61 (define @t94 () (or @t93 @t92 @t78)) % 0.39/0.61 (define @t95 () (forall @t33 (or @t70 (not (tptp.in @t25 @t65)) @t30 @t28 @t26))) % 0.39/0.61 (define @t96 () (= @t91 @t95)) % 0.39/0.61 (define @t97 () (not @t95)) % 0.39/0.61 (define @t98 () (@quantifiers_skolemize @t95 0)) % 0.39/0.61 (define @t99 () (@quantifiers_skolemize @t95 1)) % 0.39/0.61 (define @t100 () (tptp.in @t99 @t98)) % 0.39/0.61 (define @t101 () (= @t98 @t99)) % 0.39/0.61 (define @t102 () (tptp.in @t98 @t99)) % 0.39/0.61 (define @t103 () (tptp.in @t99 @t65)) % 0.39/0.61 (define @t104 () (not @t103)) % 0.39/0.61 (define @t105 () (tptp.in @t98 @t65)) % 0.39/0.61 (define @t106 () (not @t105)) % 0.39/0.61 (define @t107 () (or @t106 @t104 @t102 @t101 @t100)) % 0.39/0.61 (define @t108 () (not @t107)) % 0.39/0.61 (define @t109 () (@list @t107)) % 0.39/0.61 (define @t110 () (@var "BOUND_VARIABLE_7716" $$unsorted)) % 0.39/0.61 (define @t111 () (tptp.in @t110 @t1)) % 0.39/0.61 (define @t112 () (= @t1 @t110)) % 0.39/0.61 (define @t113 () (tptp.in @t1 @t110)) % 0.39/0.61 (define @t114 () (not (tptp.ordinal @t110))) % 0.39/0.61 (define @t115 () (not @t13)) % 0.39/0.61 (define @t116 () (or @t114 @t113 @t112 @t111)) % 0.39/0.61 (define @t117 () (or @t115 @t116)) % 0.39/0.61 (define @t118 () (forall (@list @t1 @t110) @t117)) % 0.39/0.61 (define @t119 () (@list @t110)) % 0.39/0.61 (define @t120 () (forall @t119 @t117)) % 0.39/0.61 (define @t121 () (forall @t119 @t116)) % 0.39/0.61 (define @t122 () (or @t115 @t121)) % 0.39/0.61 (define @t123 () (not @t47)) % 0.39/0.61 (define @t124 () (or @t123 @t5 @t43 @t3)) % 0.39/0.61 (define @t125 () (forall @t21 @t124)) % 0.39/0.61 (define @t126 () (not @t4)) % 0.39/0.61 (define @t127 () (not @t44)) % 0.39/0.61 (define @t128 () (not @t45)) % 0.39/0.61 (define @t129 () (or @t128 @t127 @t126)) % 0.39/0.61 (define @t130 () (tptp.ordinal @t98)) % 0.39/0.61 (define @t131 () (and @t130 (tptp.subset @t98 @t65))) % 0.39/0.61 (define @t132 () (or @t106 @t131)) % 0.39/0.61 (define @t133 () (tptp.ordinal @t99)) % 0.39/0.61 (define @t134 () (and @t133 (tptp.subset @t99 @t65))) % 0.39/0.61 (define @t135 () (or @t104 @t134)) % 0.39/0.61 (define @t136 () (not @t133)) % 0.39/0.61 (define @t137 () (not @t130)) % 0.39/0.61 (define @t138 () (or @t137 @t136 @t102 @t101 @t100)) % 0.39/0.61 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.39/0.61 (assume @p2 (forall @t9 (=> @t8 @t7))) % 0.39/0.61 (assume @p3 (forall @t9 (=> @t13 @t12))) % 0.39/0.61 (assume @p4 (forall @t9 (=> @t8 @t14))) % 0.39/0.61 (assume @p5 (forall @t9 (=> @t17 @t16))) % 0.39/0.61 (assume @p6 @t18) % 0.39/0.61 (assume @p7 (forall @t9 (=> @t8 @t19))) % 0.39/0.61 (assume @p8 @t24) % 0.39/0.61 (assume @p9 @t36) % 0.39/0.61 (assume @p10 (forall @t9 (= @t13 @t12))) % 0.39/0.61 (assume @p11 (forall @t9 (exists @t21 (tptp.element @t2 @t1)))) % 0.39/0.61 (assume @p12 (and @t39 @t38 @t37)) % 0.39/0.61 (assume @p13 @t39) % 0.39/0.61 (assume @p14 (and @t38 @t37 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t39 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.39/0.61 (assume @p15 (and @t39 @t38)) % 0.39/0.61 (assume @p16 (exists @t9 (and @t14 @t7))) % 0.39/0.61 (assume @p17 (exists @t9 @t19)) % 0.39/0.61 (assume @p18 (exists @t9 (and @t8 @t14))) % 0.39/0.61 (assume @p19 (exists @t9 @t8)) % 0.39/0.61 (assume @p20 (exists @t9 @t17)) % 0.39/0.61 (assume @p21 (exists @t9 (and @t14 @t7 @t15 @t8 @t11 @t10 @t13))) % 0.39/0.61 (assume @p22 (exists @t9 (and @t40 @t14))) % 0.39/0.61 (assume @p23 (exists @t9 @t40)) % 0.39/0.61 (assume @p24 (exists @t9 @t16)) % 0.39/0.61 (assume @p25 (exists @t9 (and @t40 @t11 @t10 @t13))) % 0.39/0.61 (assume @p26 (exists @t9 (and @t14 @t41))) % 0.39/0.61 (assume @p27 (exists @t9 (and @t14 @t41 @t7))) % 0.39/0.61 (assume @p28 (exists @t9 (and @t14 (tptp.relation_non_empty @t1) @t7))) % 0.39/0.61 (assume @p29 (forall @t6 (tptp.subset @t1 @t1))) % 0.39/0.61 (assume @p30 (forall @t6 (=> @t5 @t42))) % 0.39/0.61 (assume @p31 @t50) % 0.39/0.61 (assume @p32 (forall @t6 (=> @t42 (or @t51 @t5)))) % 0.39/0.61 (assume @p33 @t56) % 0.39/0.61 (assume @p34 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.39/0.61 (assume @p35 (forall @t58 (=> (and @t5 @t57) (tptp.element @t1 @t25)))) % 0.39/0.61 (assume @p36 (forall @t58 (not (and @t5 @t57 (tptp.empty @t25))))) % 0.39/0.61 (assume @p37 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 0.39/0.61 (assume @p38 (forall @t6 (not (and @t5 @t51)))) % 0.39/0.61 (assume @p39 (forall @t6 (not (and @t8 @t44 @t51)))) % 0.39/0.61 (assume @p40 true) % 0.39/0.61 (step @p41 :rule bool-double-not-elim :args (@t26)) % 0.39/0.61 (step @p42 :rule bool-double-not-elim :args (@t28)) % 0.39/0.61 (step @p43 :rule bool-double-not-elim :args (@t30)) % 0.39/0.61 (step @p44 :rule refl :args (@t59)) % 0.39/0.61 (step @p45 :rule refl :args (@t4)) % 0.39/0.61 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43 @p42 @p41) :args (@t63)) % 0.39/0.61 (step @p47 :rule aci_norm :args ((= (or @t4 (or @t59 (or @t62 (or @t61 @t60)))) @t63))) % 0.39/0.61 (step @p48 :rule trans :premises (@p47 @p46)) % 0.39/0.61 (step @p49 :rule bool-and-de-morgan :args (@t29 @t27 true)) % 0.39/0.61 (step @p50 :rule refl :args (@t62)) % 0.39/0.61 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t62 (not (and @t29 @t27))))) % 0.39/0.61 (step @p52 :rule bool-and-de-morgan :args (@t31 @t29 (and @t27))) % 0.39/0.61 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.61 (step @p54 :rule nary_cong :premises (@p44 @p53) :args ((or @t59 (not (and @t31 @t29 @t27))))) % 0.39/0.61 (step @p55 :rule bool-and-de-morgan :args (@t32 @t31 (and @t29 @t27))) % 0.39/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.39/0.61 (step @p57 :rule nary_cong :premises (@p45 @p56) :args ((or @t4 (not (and @t32 @t31 @t29 @t27))))) % 0.39/0.61 (step @p58 :rule bool-and-de-morgan :args (@t3 @t32 (and @t31 @t29 @t27))) % 0.39/0.61 (step @p59 :rule trans :premises (@p58 @p57)) % 0.39/0.61 (step @p60 :rule trans :premises (@p59 @p48)) % 0.39/0.61 (step @p61 :rule cong :premises (@p60) :args (@t34)) % 0.39/0.61 (step @p62 :rule refl :args (@t10)) % 0.39/0.61 (step @p63 :rule cong :premises (@p62 @p61) :args (@t35)) % 0.39/0.61 (step @p64 :rule cong :premises (@p63) :args (@t36)) % 0.39/0.61 (step @p65 :rule eq_resolve :premises (@p9 @p64)) % 0.39/0.61 (step @p66 :rule instantiate :premises (@p65) :args (@t66)) % 0.39/0.61 (step @p67 :rule aci_norm :args ((= (or (or @t68 @t67) @t13) (or @t68 @t67 @t13)))) % 0.39/0.61 (step @p68 :rule refl :args (@t13)) % 0.39/0.61 (step @p69 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.39/0.61 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or (not @t12) @t13))) % 0.39/0.61 (step @p71 :rule trans :premises (@p70 @p67)) % 0.39/0.61 (step @p72 :rule bool-impl-elim :args (@t12 @t13)) % 0.39/0.61 (step @p73 :rule trans :premises (@p72 @p71)) % 0.39/0.61 (step @p74 :rule cong :premises (@p73) :args (@t18)) % 0.39/0.61 (step @p75 :rule eq_resolve :premises (@p6 @p74)) % 0.39/0.61 (step @p76 :rule instantiate :premises (@p75) :args (@t66)) % 0.39/0.61 (step @p77 :rule bool-impl-elim :args (@t3 @t20)) % 0.39/0.61 (step @p78 :rule cong :premises (@p77) :args (@t22)) % 0.39/0.61 (step @p79 :rule refl :args (@t11)) % 0.39/0.61 (step @p80 :rule cong :premises (@p79 @p78) :args (@t23)) % 0.39/0.61 (step @p81 :rule cong :premises (@p80) :args (@t24)) % 0.39/0.61 (step @p82 :rule eq_resolve :premises (@p8 @p81)) % 0.39/0.61 (step @p83 :rule instantiate :premises (@p82) :args (@t66)) % 0.39/0.61 (step @p84 :rule bool-double-not-elim :args (@t73)) % 0.39/0.61 (step @p85 :rule refl :args (@t76)) % 0.39/0.61 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t76 (not @t75)))) % 0.39/0.61 (step @p87 :rule cnf_or_neg :args (@t76 0)) % 0.39/0.61 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.39/0.61 (step @p89 :rule reordering :premises (@p88) :args ((or @t73 @t76))) % 0.39/0.61 (step @p90 :rule cnf_or_neg :args (@t76 1)) % 0.39/0.61 (step @p91 :rule bool-impl-elim :args (@t64 @t13)) % 0.39/0.61 (step @p92 :rule cong :premises (@p91) :args ((forall @t9 (=> @t64 @t13)))) % 0.39/0.61 (step @p93 :rule refl :args (@t13)) % 0.39/0.61 (step @p94 :rule bool-impl-elim :args (@t3 @t52)) % 0.39/0.61 (step @p95 :rule cong :premises (@p94) :args (@t53)) % 0.39/0.61 (step @p96 :rule cong :premises (@p95 @p93) :args (@t54)) % 0.39/0.61 (step @p97 :rule cong :premises (@p96) :args (@t55)) % 0.39/0.61 (step @p98 :rule trans :premises (@p97 @p92)) % 0.39/0.61 (step @p99 :rule cong :premises (@p98) :args (@t56)) % 0.39/0.61 (step @p100 :rule eq_resolve :premises (@p33 @p99)) % 0.39/0.61 (step @p101 :rule skolemize :premises (@p100)) % 0.39/0.61 (step @p102 :rule bool-double-not-elim :args (@t77)) % 0.39/0.61 (step @p103 :rule refl :args (@t80)) % 0.39/0.61 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t80 (not @t79)))) % 0.39/0.61 (step @p105 :rule cnf_or_neg :args (@t80 0)) % 0.39/0.61 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.39/0.61 (step @p107 :rule reordering :premises (@p106) :args ((or @t77 @t80))) % 0.39/0.61 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t77 @t81 @t82)) % 0.39/0.61 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t72))) % 0.39/0.61 (step @p110 :rule cnf_or_pos :args (@t84)) % 0.39/0.61 (step @p111 :rule reordering :premises (@p110) :args ((or @t75 @t83 (not @t84)))) % 0.39/0.61 (step @p112 :rule cnf_and_pos :args (@t83 1)) % 0.39/0.61 (step @p113 :rule reordering :premises (@p112) :args ((or @t74 (not @t83)))) % 0.39/0.61 (step @p114 :rule chain_m_resolution :premises (@p113 @p111 @p109 @p90 @p89) :args (@t76 (@list false false true false) (@list @t83 @t84 @t74 @t73))) % 0.39/0.61 (step @p115 :rule refl :args (@t85)) % 0.39/0.61 (step @p116 :rule bool-double-not-elim :args (@t71)) % 0.39/0.61 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t86) @t85))) % 0.39/0.61 (assume-push @p221 @t86) % 0.39/0.61 (step @p119 :rule skolemize :premises (@p221)) % 0.39/0.61 (step-pop @p222 :rule scope :premises (@p119)) % 0.39/0.61 (step @p120 :rule process_scope :premises (@p222) :args (@t85)) % 0.39/0.61 (step @p122 :rule implies_elim :premises (@p120)) % 0.39/0.61 (step @p123 :rule eq_resolve :premises (@p122 @p117)) % 0.39/0.61 (step @p124 :rule chain_m_resolution :premises (@p123 @p114) :args (@t71 @t87 (@list @t76))) % 0.39/0.61 (step @p125 :rule cnf_equiv_pos2 :args (@t89)) % 0.39/0.61 (step @p126 :rule reordering :premises (@p125) :args ((or @t88 @t86 (not @t89)))) % 0.39/0.61 (step @p127 :rule chain_m_resolution :premises (@p126 @p124 @p83) :args (@t88 @t90 (@list @t71 @t89))) % 0.39/0.61 (step @p128 :rule cnf_or_neg :args (@t80 1)) % 0.39/0.61 (step @p129 :rule chain_m_resolution :premises (@p128 @p101) :args ((not @t78) @t81 @t82)) % 0.39/0.61 (step @p130 :rule cnf_or_pos :args (@t94)) % 0.39/0.61 (step @p131 :rule reordering :premises (@p130) :args ((or @t78 @t93 @t92 (not @t94)))) % 0.39/0.61 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p127 @p76) :args (@t92 (@list true false false) (@list @t78 @t88 @t94))) % 0.39/0.61 (step @p133 :rule cnf_equiv_pos2 :args (@t96)) % 0.39/0.61 (step @p134 :rule reordering :premises (@p133) :args ((or @t91 @t97 (not @t96)))) % 0.39/0.61 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p66) :args (@t97 (@list true false) (@list @t91 @t96))) % 0.39/0.61 (step @p136 :rule refl :args (@t108)) % 0.39/0.61 (step @p137 :rule bool-double-not-elim :args (@t95)) % 0.39/0.61 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t97) @t108))) % 0.39/0.61 (assume-push @p223 @t97) % 0.39/0.61 (step @p140 :rule skolemize :premises (@p223)) % 0.39/0.61 (step-pop @p224 :rule scope :premises (@p140)) % 0.39/0.61 (step @p141 :rule process_scope :premises (@p224) :args (@t108)) % 0.39/0.61 (step @p143 :rule implies_elim :premises (@p141)) % 0.39/0.61 (step @p144 :rule eq_resolve :premises (@p143 @p138)) % 0.39/0.61 (step @p145 :rule chain_m_resolution :premises (@p144 @p135) :args (@t108 @t81 (@list @t95))) % 0.39/0.61 (step @p146 :rule cnf_or_neg :args (@t107 2)) % 0.39/0.61 (step @p147 :rule chain_m_resolution :premises (@p146 @p145) :args ((not @t102) @t81 @t109)) % 0.39/0.61 (step @p148 :rule cnf_or_neg :args (@t107 3)) % 0.39/0.61 (step @p149 :rule chain_m_resolution :premises (@p148 @p145) :args ((not @t101) @t81 @t109)) % 0.39/0.61 (step @p150 :rule cnf_or_neg :args (@t107 4)) % 0.39/0.61 (step @p151 :rule chain_m_resolution :premises (@p150 @p145) :args ((not @t100) @t81 @t109)) % 0.39/0.61 (step @p152 :rule aci_norm :args ((= @t117 (or @t115 @t114 @t113 @t112 @t111)))) % 0.39/0.61 (step @p153 :rule cong :premises (@p152) :args (@t118)) % 0.39/0.61 (step @p154 :rule quant-merge-prenex :args ((= (forall @t9 @t120) @t118))) % 0.39/0.61 (step @p155 :rule alpha_equiv :args (@t121 (@list @t110) (@list @t2))) % 0.39/0.61 (step @p156 :rule refl :args (@t115)) % 0.39/0.61 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t122)) % 0.39/0.61 (step @p158 :rule quant-miniscope-or :args ((= @t120 @t122))) % 0.39/0.61 (step @p159 :rule trans :premises (@p158 @p157)) % 0.39/0.61 (step @p160 :rule symm :premises (@p159)) % 0.39/0.61 (step @p161 :rule cong :premises (@p160) :args ((forall @t9 (or @t115 @t125)))) % 0.39/0.61 (step @p162 :rule trans :premises (@p161 @p154)) % 0.39/0.61 (step @p163 :rule trans :premises (@p162 @p153)) % 0.39/0.61 (step @p164 :rule bool-impl-elim :args (@t13 @t125)) % 0.39/0.61 (step @p165 :rule cong :premises (@p164) :args ((forall @t9 (=> @t13 @t125)))) % 0.39/0.61 (step @p166 :rule trans :premises (@p165 @p163)) % 0.39/0.61 (step @p167 :rule aci_norm :args ((= (or @t123 (or @t5 @t43 @t3)) @t124))) % 0.39/0.61 (step @p168 :rule bool-double-not-elim :args (@t3)) % 0.39/0.61 (step @p169 :rule bool-double-not-elim :args (@t43)) % 0.39/0.61 (step @p170 :rule bool-double-not-elim :args (@t5)) % 0.39/0.61 (step @p171 :rule nary_cong :premises (@p170 @p169 @p168) :args (@t129)) % 0.39/0.61 (step @p172 :rule aci_norm :args ((= (or @t128 (or @t127 @t126)) @t129))) % 0.39/0.61 (step @p173 :rule trans :premises (@p172 @p171)) % 0.39/0.61 (step @p174 :rule bool-and-de-morgan :args (@t44 @t4 true)) % 0.39/0.61 (step @p175 :rule refl :args (@t128)) % 0.39/0.61 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t128 (not (and @t44 @t4))))) % 0.39/0.61 (step @p177 :rule bool-and-de-morgan :args (@t45 @t44 (and @t4))) % 0.39/0.61 (step @p178 :rule trans :premises (@p177 @p176)) % 0.39/0.61 (step @p179 :rule trans :premises (@p178 @p173)) % 0.39/0.62 (step @p180 :rule refl :args (@t123)) % 0.39/0.62 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t123 @t46))) % 0.39/0.62 (step @p182 :rule trans :premises (@p181 @p167)) % 0.39/0.62 (step @p183 :rule bool-impl-elim :args (@t47 @t46)) % 0.39/0.62 (step @p184 :rule trans :premises (@p183 @p182)) % 0.39/0.62 (step @p185 :rule cong :premises (@p184) :args (@t48)) % 0.39/0.62 (step @p186 :rule cong :premises (@p93 @p185) :args (@t49)) % 0.39/0.62 (step @p187 :rule cong :premises (@p186) :args (@t50)) % 0.39/0.62 (step @p188 :rule trans :premises (@p187 @p166)) % 0.39/0.62 (step @p189 :rule eq_resolve :premises (@p31 @p188)) % 0.39/0.62 (step @p190 :rule instantiate :premises (@p189) :args ((@list @t98 @t99))) % 0.39/0.62 (step @p191 :rule instantiate :premises (@p108) :args ((@list @t98))) % 0.39/0.62 (step @p192 :rule bool-double-not-elim :args (@t105)) % 0.39/0.62 (step @p193 :rule refl :args (@t107)) % 0.39/0.62 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t107 (not @t106)))) % 0.39/0.62 (step @p195 :rule cnf_or_neg :args (@t107 0)) % 0.39/0.62 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.39/0.62 (step @p197 :rule reordering :premises (@p196) :args ((or @t105 @t107))) % 0.39/0.62 (step @p198 :rule chain_m_resolution :premises (@p197 @p145) :args (@t105 @t81 @t109)) % 0.39/0.62 (step @p199 :rule cnf_or_pos :args (@t132)) % 0.39/0.62 (step @p200 :rule reordering :premises (@p199) :args ((or @t106 @t131 (not @t132)))) % 0.39/0.62 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p191) :args (@t131 @t90 (@list @t105 @t132))) % 0.39/0.62 (step @p202 :rule cnf_and_pos :args (@t131 0)) % 0.39/0.62 (step @p203 :rule reordering :premises (@p202) :args ((or @t130 (not @t131)))) % 0.39/0.62 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args (@t130 @t87 (@list @t131))) % 0.39/0.62 (step @p205 :rule instantiate :premises (@p108) :args ((@list @t99))) % 0.39/0.62 (step @p206 :rule bool-double-not-elim :args (@t103)) % 0.39/0.62 (step @p207 :rule nary_cong :premises (@p193 @p206) :args ((or @t107 (not @t104)))) % 0.39/0.62 (step @p208 :rule cnf_or_neg :args (@t107 1)) % 0.39/0.62 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.39/0.62 (step @p210 :rule reordering :premises (@p209) :args ((or @t103 @t107))) % 0.39/0.62 (step @p211 :rule chain_m_resolution :premises (@p210 @p145) :args (@t103 @t81 @t109)) % 0.39/0.62 (step @p212 :rule cnf_or_pos :args (@t135)) % 0.39/0.62 (step @p213 :rule reordering :premises (@p212) :args ((or @t104 @t134 (not @t135)))) % 0.39/0.62 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p205) :args (@t134 @t90 (@list @t103 @t135))) % 0.39/0.62 (step @p215 :rule cnf_and_pos :args (@t134 0)) % 0.39/0.62 (step @p216 :rule reordering :premises (@p215) :args ((or @t133 (not @t134)))) % 0.39/0.62 (step @p217 :rule chain_m_resolution :premises (@p216 @p214) :args (@t133 @t87 (@list @t134))) % 0.39/0.62 (step @p218 :rule cnf_or_pos :args (@t138)) % 0.39/0.62 (step @p219 :rule reordering :premises (@p218) :args ((or @t102 @t101 @t100 @t137 @t136 (not @t138)))) % 0.39/0.62 (step @p220 false :rule chain_m_resolution :premises (@p219 @p217 @p204 @p190 @p151 @p149 @p147) :args (false (@list false false false true true true) (@list @t133 @t130 @t138 @t100 @t101 @t102))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------