%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU430+1 : TPTP v9.2.1. Released v3.4.0. % 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 08:51:45 AM UTC 2026 % Result : Theorem 17.85s 18.08s % Output : Proof 17.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU430+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:23:36 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 17.85/18.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.85/18.08 --- Run --no-e-matching --full-saturate-quant at 6... % 17.85/18.08 % SZS status Theorem % 17.85/18.08 % SZS output start Proof % 17.85/18.08 ( % 17.85/18.08 (declare-sort $$unsorted 0) % 17.85/18.08 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.k3_tarski (-> $$unsorted $$unsorted)) % 17.85/18.08 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 17.85/18.08 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.k5_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 17.85/18.08 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 17.85/18.08 (declare-const tptp.k1_xboole_0 $$unsorted) % 17.85/18.08 (define @t1 () (@var "C" $$unsorted)) % 17.85/18.08 (define @t2 () (@var "B" $$unsorted)) % 17.85/18.08 (define @t3 () (tptp.r2_hidden @t1 @t2)) % 17.85/18.08 (define @t4 () (=> @t3 (= @t1 tptp.k1_xboole_0))) % 17.85/18.08 (define @t5 () (@list @t1)) % 17.85/18.08 (define @t6 () (forall @t5 @t4)) % 17.85/18.08 (define @t7 () (@var "A" $$unsorted)) % 17.85/18.08 (define @t8 () (tptp.k5_setfam_1 @t7 @t2)) % 17.85/18.08 (define @t9 () (= (= @t8 tptp.k1_xboole_0) @t6)) % 17.85/18.08 (define @t10 () (tptp.k1_zfmisc_1 @t7)) % 17.85/18.08 (define @t11 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t10))) % 17.85/18.08 (define @t12 () (=> @t11 @t9)) % 17.85/18.08 (define @t13 () (@list @t7 @t2)) % 17.85/18.08 (define @t14 () (forall @t13 @t12)) % 17.85/18.08 (define @t15 () (not @t14)) % 17.85/18.08 (define @t16 () (not (tptp.r2_hidden @t2 @t7))) % 17.85/18.08 (define @t17 () (tptp.r2_hidden @t7 @t2)) % 17.85/18.08 (define @t18 () (tptp.v1_relat_1 @t7)) % 17.85/18.08 (define @t19 () (tptp.v1_xboole_0 @t7)) % 17.85/18.08 (define @t20 () (@list @t7)) % 17.85/18.08 (define @t21 () (@list @t2)) % 17.85/18.08 (define @t22 () (forall @t21 @t16)) % 17.85/18.08 (define @t23 () (= @t7 tptp.k1_xboole_0)) % 17.85/18.08 (define @t24 () (= @t23 @t22)) % 17.85/18.08 (define @t25 () (forall @t20 @t24)) % 17.85/18.08 (define @t26 () (@var "D" $$unsorted)) % 17.85/18.08 (define @t27 () (tptp.r2_hidden @t26 @t7)) % 17.85/18.08 (define @t28 () (tptp.r2_hidden @t1 @t26)) % 17.85/18.08 (define @t29 () (and @t28 @t27)) % 17.85/18.08 (define @t30 () (@list @t26)) % 17.85/18.08 (define @t31 () (exists @t30 @t29)) % 17.85/18.08 (define @t32 () (= @t3 @t31)) % 17.85/18.08 (define @t33 () (forall @t5 @t32)) % 17.85/18.08 (define @t34 () (= @t2 (tptp.k3_tarski @t7))) % 17.85/18.08 (define @t35 () (= @t34 @t33)) % 17.85/18.08 (define @t36 () (forall @t13 @t35)) % 17.85/18.08 (define @t37 () (tptp.m1_subset_1 @t2 @t7)) % 17.85/18.08 (define @t38 () (exists @t21 @t37)) % 17.85/18.08 (define @t39 () (forall @t20 @t38)) % 17.85/18.08 (define @t40 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 17.85/18.08 (define @t41 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 17.85/18.08 (define @t42 () (tptp.v1_xboole_0 @t2)) % 17.85/18.08 (define @t43 () (not @t42)) % 17.85/18.08 (define @t44 () (tptp.m1_subset_1 @t2 @t10)) % 17.85/18.08 (define @t45 () (not @t19)) % 17.85/18.08 (define @t46 () (= @t8 (tptp.k3_tarski @t2))) % 17.85/18.08 (define @t47 () (forall @t13 (=> @t11 @t46))) % 17.85/18.08 (define @t48 () (tptp.r1_tarski @t7 @t7)) % 17.85/18.08 (define @t49 () (forall @t13 @t48)) % 17.85/18.08 (define @t50 () (tptp.m1_subset_1 @t7 @t2)) % 17.85/18.08 (define @t51 () (or @t42 @t17)) % 17.85/18.08 (define @t52 () (forall @t13 (=> @t50 @t51))) % 17.85/18.08 (define @t53 () (forall @t13 (= (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t7 @t2)))) % 17.85/18.08 (define @t54 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 17.85/18.08 (define @t55 () (@list @t7 @t2 @t1)) % 17.85/18.08 (define @t56 () (tptp.v1_xboole_0 @t1)) % 17.85/18.08 (define @t57 () (forall @t55 (not (and @t17 @t54 @t56)))) % 17.85/18.08 (define @t58 () (= @t7 @t2)) % 17.85/18.08 (define @t59 () (not @t58)) % 17.85/18.08 (define @t60 () (forall @t13 (not (and @t19 @t59 @t42)))) % 17.85/18.08 (define @t61 () (not @t56)) % 17.85/18.08 (define @t62 () (not @t54)) % 17.85/18.08 (define @t63 () (not @t17)) % 17.85/18.08 (define @t64 () (= tptp.k1_xboole_0 @t1)) % 17.85/18.08 (define @t65 () (= (= tptp.k1_xboole_0 @t8) (forall @t5 (or (not @t3) @t64)))) % 17.85/18.08 (define @t66 () (forall @t13 (or (not @t11) @t65))) % 17.85/18.08 (define @t67 () (@quantifiers_skolemize @t66 1)) % 17.85/18.08 (define @t68 () (not (tptp.r2_hidden @t26 @t67))) % 17.85/18.08 (define @t69 () (forall @t5 (= (tptp.r2_hidden @t1 tptp.k1_xboole_0) (not (forall @t30 (or (not @t28) @t68)))))) % 17.85/18.08 (define @t70 () (@quantifiers_skolemize @t69 0)) % 17.85/18.08 (define @t71 () (tptp.m1_subset_1 tptp.k1_xboole_0 (tptp.k1_zfmisc_1 tptp.k1_xboole_0))) % 17.85/18.08 (define @t72 () (tptp.r1_tarski tptp.k1_xboole_0 tptp.k1_xboole_0)) % 17.85/18.08 (define @t73 () (= @t71 @t72)) % 17.85/18.08 (define @t74 () (= @t72 @t71)) % 17.85/18.08 (define @t75 () (@list false)) % 17.85/18.08 (define @t76 () (@list tptp.k1_xboole_0)) % 17.85/18.08 (define @t77 () (@list false false)) % 17.85/18.08 (define @t78 () (not @t41)) % 17.85/18.08 (define @t79 () (not @t71)) % 17.85/18.08 (define @t80 () (tptp.r2_hidden @t70 tptp.k1_xboole_0)) % 17.85/18.08 (define @t81 () (not @t80)) % 17.85/18.08 (define @t82 () (or @t81 @t79 @t78)) % 17.85/18.08 (define @t83 () (forall @t30 (not @t29))) % 17.85/18.08 (define @t84 () (not @t83)) % 17.85/18.08 (define @t85 () (@quantifiers_skolemize @t66 0)) % 17.85/18.08 (define @t86 () (tptp.m1_subset_1 @t67 (tptp.k1_zfmisc_1 (tptp.k1_zfmisc_1 @t85)))) % 17.85/18.08 (define @t87 () (forall @t5 (or (not (tptp.r2_hidden @t1 @t67)) @t64))) % 17.85/18.08 (define @t88 () (tptp.k5_setfam_1 @t85 @t67)) % 17.85/18.08 (define @t89 () (= tptp.k1_xboole_0 @t88)) % 17.85/18.08 (define @t90 () (= @t89 @t87)) % 17.85/18.08 (define @t91 () (not @t86)) % 17.85/18.08 (define @t92 () (or @t91 @t90)) % 17.85/18.08 (define @t93 () (@list true)) % 17.85/18.08 (define @t94 () (@list @t92)) % 17.85/18.08 (define @t95 () (tptp.k3_tarski @t67)) % 17.85/18.08 (define @t96 () (= @t88 @t95)) % 17.85/18.08 (define @t97 () (or @t91 @t96)) % 17.85/18.08 (define @t98 () (@quantifiers_skolemize @t87 0)) % 17.85/18.08 (define @t99 () (= tptp.k1_xboole_0 @t98)) % 17.85/18.08 (define @t100 () (tptp.r2_hidden @t98 @t67)) % 17.85/18.08 (define @t101 () (not @t100)) % 17.85/18.08 (define @t102 () (or @t101 @t99)) % 17.85/18.08 (define @t103 () (not @t102)) % 17.85/18.08 (define @t104 () (not @t87)) % 17.85/18.08 (define @t105 () (not @t59)) % 17.85/18.08 (define @t106 () (or @t45 @t105 @t43)) % 17.85/18.08 (define @t107 () (tptp.v1_xboole_0 @t98)) % 17.85/18.08 (define @t108 () (not @t107)) % 17.85/18.08 (define @t109 () (or @t78 @t99 @t108)) % 17.85/18.08 (define @t110 () (@list @t98)) % 17.85/18.08 (define @t111 () (forall @t21 (not (tptp.m1_subset_1 @t2 @t98)))) % 17.85/18.08 (define @t112 () (@quantifiers_skolemize @t111 0)) % 17.85/18.08 (define @t113 () (tptp.m1_subset_1 @t112 @t98)) % 17.85/18.08 (define @t114 () (not @t111)) % 17.85/18.08 (define @t115 () (not @t113)) % 17.85/18.08 (define @t116 () (not @t115)) % 17.85/18.08 (define @t117 () (not @t50)) % 17.85/18.08 (define @t118 () (tptp.r2_hidden @t112 @t98)) % 17.85/18.08 (define @t119 () (or @t115 @t107 @t118)) % 17.85/18.08 (define @t120 () (not @t118)) % 17.85/18.08 (define @t121 () (or @t120 @t101)) % 17.85/18.08 (define @t122 () (forall @t30 (or (not (tptp.r2_hidden @t112 @t26)) @t68))) % 17.85/18.08 (define @t123 () (= tptp.k1_xboole_0 @t7)) % 17.85/18.08 (define @t124 () (forall @t21 (not (tptp.r2_hidden @t2 tptp.k1_xboole_0)))) % 17.85/18.08 (define @t125 () (= tptp.k1_xboole_0 tptp.k1_xboole_0)) % 17.85/18.08 (define @t126 () (forall @t20 (= @t22 @t123))) % 17.85/18.08 (define @t127 () (= @t124 @t125)) % 17.85/18.08 (define @t128 () (@list @t112)) % 17.85/18.08 (define @t129 () (tptp.r2_hidden @t112 tptp.k1_xboole_0)) % 17.85/18.08 (define @t130 () (not @t122)) % 17.85/18.08 (define @t131 () (= @t129 @t130)) % 17.85/18.08 (define @t132 () (not @t131)) % 17.85/18.08 (define @t133 () (= tptp.k1_xboole_0 @t95)) % 17.85/18.08 (define @t134 () (= @t133 @t69)) % 17.85/18.08 (define @t135 () (not @t134)) % 17.85/18.08 (define @t136 () (not @t133)) % 17.85/18.08 (define @t137 () (and @t89 @t96)) % 17.85/18.08 (define @t138 () (not @t96)) % 17.85/18.08 (define @t139 () (not @t89)) % 17.85/18.08 (define @t140 () (and @t139 @t96)) % 17.85/18.08 (define @t141 () (@list true false)) % 17.85/18.08 (define @t142 () (not @t69)) % 17.85/18.08 (define @t143 () (forall @t30 (or (not (tptp.r2_hidden @t70 @t26)) @t68))) % 17.85/18.08 (define @t144 () (not @t143)) % 17.85/18.08 (define @t145 () (= @t80 @t144)) % 17.85/18.08 (define @t146 () (not @t145)) % 17.85/18.08 (define @t147 () (@list true true)) % 17.85/18.08 (define @t148 () (@quantifiers_skolemize @t143 0)) % 17.85/18.08 (define @t149 () (tptp.r2_hidden @t148 @t67)) % 17.85/18.08 (define @t150 () (not @t149)) % 17.85/18.08 (define @t151 () (tptp.r2_hidden @t70 @t148)) % 17.85/18.08 (define @t152 () (not @t151)) % 17.85/18.08 (define @t153 () (or @t152 @t150)) % 17.85/18.08 (define @t154 () (not @t153)) % 17.85/18.08 (define @t155 () (@list @t153)) % 17.85/18.08 (define @t156 () (= tptp.k1_xboole_0 @t148)) % 17.85/18.08 (define @t157 () (or @t150 @t156)) % 17.85/18.08 (define @t158 () (not @t156)) % 17.85/18.08 (define @t159 () (and @t81 @t156 @t151)) % 17.85/18.08 (assume @p1 @t15) % 17.85/18.08 (assume @p2 (forall @t13 (=> @t17 @t16))) % 17.85/18.08 (assume @p3 (forall @t20 (=> @t19 @t18))) % 17.85/18.08 (assume @p4 @t25) % 17.85/18.08 (assume @p5 @t36) % 17.85/18.08 (assume @p6 true) % 17.85/18.08 (assume @p7 (forall @t13 (=> @t11 (tptp.m1_subset_1 @t8 @t10)))) % 17.85/18.08 (assume @p8 @t39) % 17.85/18.08 (assume @p9 (and @t41 @t40 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 17.85/18.08 (assume @p10 (forall @t20 (not (tptp.v1_xboole_0 @t10)))) % 17.85/18.08 (assume @p11 (and @t41 @t40)) % 17.85/18.08 (assume @p12 (exists @t20 (and @t19 @t18))) % 17.85/18.08 (assume @p13 (forall @t20 (=> @t45 (exists @t21 (and @t44 @t43))))) % 17.85/18.08 (assume @p14 (exists @t20 (and @t45 @t18))) % 17.85/18.08 (assume @p15 (forall @t20 (exists @t21 (and @t44 @t42)))) % 17.85/18.08 (assume @p16 (exists @t20 (and @t18 (tptp.v3_relat_1 @t7)))) % 17.85/18.08 (assume @p17 @t47) % 17.85/18.08 (assume @p18 @t49) % 17.85/18.08 (assume @p19 (forall @t13 (=> @t17 @t50))) % 17.85/18.08 (assume @p20 @t52) % 17.85/18.08 (assume @p21 @t53) % 17.85/18.08 (assume @p22 (forall @t55 (=> (and @t17 @t54) (tptp.m1_subset_1 @t7 @t1)))) % 17.85/18.08 (assume @p23 @t57) % 17.85/18.08 (assume @p24 (forall @t20 (=> @t19 @t23))) % 17.85/18.08 (assume @p25 (forall @t13 (not (and @t17 @t42)))) % 17.85/18.08 (assume @p26 @t60) % 17.85/18.08 (step @p27 :rule aci_norm :args ((= (or @t63 (or @t62 @t61)) (or @t63 @t62 @t61)))) % 17.85/18.08 (step @p28 :rule bool-and-de-morgan :args (@t54 @t56 true)) % 17.85/18.08 (step @p29 :rule refl :args (@t63)) % 17.85/18.08 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t63 (not (and @t54 @t56))))) % 17.85/18.08 (step @p31 :rule bool-and-de-morgan :args (@t17 @t54 (and @t56))) % 17.85/18.08 (step @p32 :rule trans :premises (@p31 @p30)) % 17.85/18.08 (step @p33 :rule trans :premises (@p32 @p27)) % 17.85/18.08 (step @p34 :rule cong :premises (@p33) :args (@t57)) % 17.85/18.08 (step @p35 :rule eq_resolve :premises (@p23 @p34)) % 17.85/18.08 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t70 tptp.k1_xboole_0 tptp.k1_xboole_0))) % 17.85/18.08 (step @p37 :rule eq-symm :args (@t71 @t72)) % 17.85/18.08 (step @p38 :rule refl :args (@t53)) % 17.85/18.08 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t53 @t73))) % 17.85/18.08 (assume-push @p339 @t53) % 17.85/18.08 (step @p41 :rule instantiate :premises (@p21) :args ((@list tptp.k1_xboole_0 tptp.k1_xboole_0))) % 17.85/18.08 (step-pop @p340 :rule scope :premises (@p41)) % 17.85/18.08 (step @p42 :rule process_scope :premises (@p340) :args (@t73)) % 17.85/18.08 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 17.85/18.08 (step @p45 :rule implies_elim :premises (@p44)) % 17.85/18.08 (step @p46 :rule chain_m_resolution :premises (@p45 @p21) :args (@t74 @t75 (@list @t53))) % 17.85/18.08 (step @p47 :rule quant-unused-vars :args ((= @t49 (forall @t20 @t48)))) % 17.85/18.08 (step @p48 :rule eq_resolve :premises (@p18 @p47)) % 17.85/18.08 (step @p49 :rule instantiate :premises (@p48) :args (@t76)) % 17.85/18.08 (step @p50 :rule cnf_equiv_pos1 :args (@t74)) % 17.85/18.08 (step @p51 :rule reordering :premises (@p50) :args ((or @t71 (not @t72) (not @t74)))) % 17.85/18.08 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p46) :args (@t71 @t77 (@list @t72 @t74))) % 17.85/18.08 (step @p53 :rule and_elim :premises (@p9) :args (0)) % 17.85/18.08 (step @p54 :rule cnf_or_pos :args (@t82)) % 17.85/18.08 (step @p55 :rule reordering :premises (@p54) :args ((or @t78 @t79 @t81 (not @t82)))) % 17.85/18.08 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p36) :args (@t81 (@list false false false) (@list @t41 @t71 @t82))) % 17.85/18.08 (step @p57 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 17.85/18.08 (step @p58 :rule cong :premises (@p57) :args (@t83)) % 17.85/18.08 (step @p59 :rule cong :premises (@p58) :args (@t84)) % 17.85/18.08 (step @p60 :rule exists-elim :args ((= @t31 @t84))) % 17.85/18.08 (step @p61 :rule trans :premises (@p60 @p59)) % 17.85/18.08 (step @p62 :rule refl :args (@t3)) % 17.85/18.08 (step @p63 :rule cong :premises (@p62 @p61) :args (@t32)) % 17.85/18.08 (step @p64 :rule cong :premises (@p63) :args (@t33)) % 17.85/18.08 (step @p65 :rule refl :args (@t34)) % 17.85/18.08 (step @p66 :rule cong :premises (@p65 @p64) :args (@t35)) % 17.85/18.08 (step @p67 :rule cong :premises (@p66) :args (@t36)) % 17.85/18.08 (step @p68 :rule eq_resolve :premises (@p5 @p67)) % 17.85/18.08 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t67 tptp.k1_xboole_0))) % 17.85/18.08 (step @p70 :rule bool-impl-elim :args (@t11 @t46)) % 17.85/18.08 (step @p71 :rule cong :premises (@p70) :args (@t47)) % 17.85/18.08 (step @p72 :rule eq_resolve :premises (@p17 @p71)) % 17.85/18.08 (step @p73 :rule instantiate :premises (@p72) :args ((@list @t85 @t67))) % 17.85/18.08 (step @p74 :rule bool-impl-elim :args (@t11 @t65)) % 17.85/18.08 (step @p75 :rule cong :premises (@p74) :args ((forall @t13 (=> @t11 @t65)))) % 17.85/18.08 (step @p76 :rule bool-impl-elim :args (@t3 @t64)) % 17.85/18.08 (step @p77 :rule cong :premises (@p76) :args ((forall @t5 (=> @t3 @t64)))) % 17.85/18.08 (step @p78 :rule eq-symm :args (@t1 tptp.k1_xboole_0)) % 17.85/18.08 (step @p79 :rule cong :premises (@p62 @p78) :args (@t4)) % 17.85/18.08 (step @p80 :rule cong :premises (@p79) :args (@t6)) % 17.85/18.08 (step @p81 :rule trans :premises (@p80 @p77)) % 17.85/18.08 (step @p82 :rule eq-symm :args (@t8 tptp.k1_xboole_0)) % 17.85/18.08 (step @p83 :rule cong :premises (@p82 @p81) :args (@t9)) % 17.85/18.08 (step @p84 :rule refl :args (@t11)) % 17.85/18.08 (step @p85 :rule 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@p240 :rule false_elim :premises (@p239)) % 17.85/18.08 (step-pop @p363 :rule scope :premises (@p240)) % 17.85/18.08 (step-pop @p364 :rule scope :premises (@p363)) % 17.85/18.08 (step @p241 :rule process_scope :premises (@p364) :args (@t136)) % 17.85/18.08 (step @p244 :rule and_intro :premises (@p359 @p100)) % 17.85/18.08 (step @p245 :rule modus_ponens :premises (@p244 @p241)) % 17.85/18.08 (step-pop @p365 :rule scope :premises (@p245)) % 17.85/18.08 (step-pop @p366 :rule scope :premises (@p365)) % 17.85/18.08 (step @p246 :rule process_scope :premises (@p366) :args (@t136)) % 17.85/18.08 (step @p249 :rule implies_elim :premises (@p246)) % 17.85/18.08 (step @p250 :rule cnf_and_neg :args (@t140)) % 17.85/18.08 (step @p251 :rule resolution :premises (@p250 @p249) :args (true @t140)) % 17.85/18.08 (step @p252 :rule eq_resolve :premises (@p251 @p230)) % 17.85/18.08 (step @p253 :rule reordering :premises (@p252) :args ((or @t89 @t136 @t138))) % 17.85/18.08 (step @p254 :rule 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:premises (@p279 @p270) :args (@t154 @t93 (@list @t143))) % 17.85/18.08 (step @p281 :rule bool-double-not-elim :args (@t151)) % 17.85/18.08 (step @p282 :rule refl :args (@t153)) % 17.85/18.08 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t153 (not @t152)))) % 17.85/18.08 (step @p284 :rule cnf_or_neg :args (@t153 0)) % 17.85/18.08 (step @p285 :rule eq_resolve :premises (@p284 @p283)) % 17.85/18.08 (step @p286 :rule reordering :premises (@p285) :args ((or @t151 @t153))) % 17.85/18.08 (step @p287 :rule chain_m_resolution :premises (@p286 @p280) :args (@t151 @t93 @t155)) % 17.85/18.08 (step @p288 :rule cnf_equiv_neg1 :args (@t90)) % 17.85/18.08 (step @p289 :rule reordering :premises (@p288) :args ((or @t89 @t87 @t90))) % 17.85/18.08 (step @p290 :rule chain_m_resolution :premises (@p289 @p226 @p102) :args (@t87 @t147 (@list @t89 @t90))) % 17.85/18.08 (assume-push @p371 @t87) % 17.85/18.08 (step @p292 :rule instantiate :premises (@p371) :args ((@list @t148))) % 17.85/18.08 (step-pop @p372 :rule scope :premises (@p292)) % 17.85/18.08 (step @p293 :rule process_scope :premises (@p372) :args (@t157)) % 17.85/18.08 (step @p295 :rule implies_elim :premises (@p293)) % 17.85/18.08 (step @p296 :rule chain_m_resolution :premises (@p295 @p290) :args (@t157 @t75 (@list @t87))) % 17.85/18.08 (step @p297 :rule bool-double-not-elim :args (@t149)) % 17.85/18.08 (step @p298 :rule nary_cong :premises (@p282 @p297) :args ((or @t153 (not @t150)))) % 17.85/18.08 (step @p299 :rule cnf_or_neg :args (@t153 1)) % 17.85/18.08 (step @p300 :rule eq_resolve :premises (@p299 @p298)) % 17.85/18.08 (step @p301 :rule reordering :premises (@p300) :args ((or @t149 @t153))) % 17.85/18.08 (step @p302 :rule chain_m_resolution :premises (@p301 @p280) :args (@t149 @t93 @t155)) % 17.85/18.08 (step @p303 :rule cnf_or_pos :args (@t157)) % 17.85/18.08 (step @p304 :rule reordering :premises (@p303) :args ((or @t150 @t156 (not @t157)))) % 17.85/18.09 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p296) :args (@t156 @t77 (@list @t149 @t157))) % 17.85/18.09 (step @p306 :rule refl :args (@t158)) % 17.85/18.09 (step @p307 :rule refl :args (@t152)) % 17.85/18.09 (step @p308 :rule bool-double-not-elim :args (@t80)) % 17.85/18.09 (step @p309 :rule nary_cong :premises (@p308 @p307 @p306) :args ((or (not @t81) @t152 @t158))) % 17.85/18.09 (assume-push @p373 @t81) % 17.85/18.09 (assume-push @p374 @t156) % 17.85/18.09 (assume-push @p375 @t151) % 17.85/18.09 (step @p313 :rule evaluate :args ((= true false))) % 17.85/18.09 (step @p314 :rule false_intro :premises (@p56)) % 17.85/18.09 (step @p315 :rule symm :premises (@p374)) % 17.85/18.09 (step @p316 :rule refl :args (@t70)) % 17.85/18.09 (step @p317 :rule cong :premises (@p316 @p315) :args (@t151)) % 17.85/18.09 (step @p318 :rule true_intro :premises (@p375)) % 17.85/18.09 (step @p319 :rule symm :premises (@p318)) % 17.85/18.09 (step @p320 :rule trans :premises (@p319 @p317 @p314)) % 17.85/18.09 (step @p321 false :rule eq_resolve :premises (@p320 @p313)) % 17.85/18.09 (step-pop @p376 :rule scope :premises (@p321)) % 17.85/18.09 (step-pop @p377 :rule scope :premises (@p376)) % 17.85/18.09 (step-pop @p378 :rule scope :premises (@p377)) % 17.85/18.09 (step @p322 :rule process_scope :premises (@p378) :args (false)) % 17.85/18.09 (assume-push @p379 @t81) % 17.85/18.09 (assume-push @p380 @t151) % 17.85/18.09 (assume-push @p381 @t156) % 17.85/18.09 (step @p329 :rule and_intro :premises (@p56 @p381 @p380)) % 17.85/18.09 (step-pop @p382 :rule scope :premises (@p329)) % 17.85/18.09 (step-pop @p383 :rule scope :premises (@p382)) % 17.85/18.09 (step-pop @p384 :rule scope :premises (@p383)) % 17.85/18.09 (step @p330 :rule process_scope :premises (@p384) :args (@t159)) % 17.85/18.09 (step @p334 :rule implies_elim :premises (@p330)) % 17.85/18.09 (step @p335 :rule resolution :premises (@p334 @p322) :args (true @t159)) % 17.85/18.09 (step @p336 :rule not_and :premises (@p335)) % 17.85/18.09 (step @p337 :rule eq_resolve :premises (@p336 @p309)) % 17.85/18.09 (step @p338 false :rule chain_m_resolution :premises (@p337 @p305 @p287 @p56) :args (false (@list false false true) (@list @t156 @t151 @t80))) % 17.85/18.09 ) % 17.85/18.09 % SZS output end Proof % 17.85/18.09 % cvc5 exiting %------------------------------------------------------------------------------