%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU432+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 : n024.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 08:51:46 AM UTC 2026 % Result : Theorem 183.66s 183.94s % Output : Proof 183.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU432+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:24:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TF0_NAR, FOF, or CNF % 183.66/183.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 183.66/183.94 --- Run --no-e-matching --full-saturate-quant at 6... % 183.66/183.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 183.66/183.94 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 183.66/183.94 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 183.66/183.94 --- Run --trigger-sel=max --full-saturate-quant at 15... % 183.66/183.94 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 183.66/183.94 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 183.66/183.94 --- Run --prenex-quant=none --full-saturate-quant at 30... % 183.66/183.94 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 183.66/183.94 --- Run --relevant-triggers --full-saturate-quant at 30... % 183.66/183.94 % SZS status Theorem % 183.66/183.94 % SZS output start Proof % 183.66/183.94 ( % 183.66/183.94 (declare-sort $$unsorted 0) % 183.66/183.94 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k6_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k1_xboole_0 $$unsorted) % 183.66/183.94 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k1_setfam_1 (-> $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k1_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 183.66/183.94 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 183.66/183.94 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 183.66/183.94 (define @t1 () (@var "E" $$unsorted)) % 183.66/183.94 (define @t2 () (@var "D" $$unsorted)) % 183.66/183.94 (define @t3 () (@var "C" $$unsorted)) % 183.66/183.94 (define @t4 () (@var "A" $$unsorted)) % 183.66/183.94 (define @t5 () (tptp.k5_subset_1 @t4 @t3 @t2)) % 183.66/183.94 (define @t6 () (@var "B" $$unsorted)) % 183.66/183.94 (define @t7 () (tptp.r1_tarski (tptp.k4_subset_1 @t6 (tptp.k8_relset_2 @t4 @t6 @t3 @t1) (tptp.k8_relset_2 @t4 @t6 @t2 @t1)) (tptp.k8_relset_2 @t4 @t6 @t5 @t1))) % 183.66/183.94 (define @t8 () (tptp.k2_zfmisc_1 @t4 @t6)) % 183.66/183.94 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 183.66/183.94 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 183.66/183.94 (define @t11 () (@list @t1)) % 183.66/183.94 (define @t12 () (forall @t11 (=> @t10 @t7))) % 183.66/183.94 (define @t13 () (tptp.k1_zfmisc_1 @t4)) % 183.66/183.94 (define @t14 () (tptp.m1_subset_1 @t2 @t13)) % 183.66/183.94 (define @t15 () (=> @t14 @t12)) % 183.66/183.94 (define @t16 () (@list @t2)) % 183.66/183.94 (define @t17 () (forall @t16 @t15)) % 183.66/183.94 (define @t18 () (tptp.m1_subset_1 @t3 @t13)) % 183.66/183.94 (define @t19 () (=> @t18 @t17)) % 183.66/183.94 (define @t20 () (@list @t4 @t6 @t3)) % 183.66/183.94 (define @t21 () (forall @t20 @t19)) % 183.66/183.94 (define @t22 () (not @t21)) % 183.66/183.94 (define @t23 () (tptp.r2_hidden @t4 @t6)) % 183.66/183.94 (define @t24 () (@list @t4 @t6)) % 183.66/183.94 (define @t25 () (tptp.v1_relat_1 @t4)) % 183.66/183.94 (define @t26 () (tptp.v1_xboole_0 @t4)) % 183.66/183.94 (define @t27 () (@list @t4)) % 183.66/183.94 (define @t28 () (tptp.v1_relat_1 @t3)) % 183.66/183.94 (define @t29 () (tptp.m1_subset_1 @t3 @t9)) % 183.66/183.94 (define @t30 () (forall @t20 (=> @t29 @t28))) % 183.66/183.94 (define @t31 () (tptp.k1_relset_2 @t4 @t6 @t3)) % 183.66/183.94 (define @t32 () (tptp.k1_zfmisc_1 @t13)) % 183.66/183.94 (define @t33 () (tptp.m1_subset_1 @t3 @t32)) % 183.66/183.94 (define @t34 () (tptp.m1_subset_1 @t6 @t32)) % 183.66/183.94 (define @t35 () (and @t34 @t33)) % 183.66/183.94 (define @t36 () (tptp.k2_xboole_0 @t4 @t6)) % 183.66/183.94 (define @t37 () (tptp.k3_xboole_0 @t4 @t6)) % 183.66/183.94 (define @t38 () (tptp.k4_subset_1 @t4 @t6 @t3)) % 183.66/183.94 (define @t39 () (tptp.m1_subset_1 @t6 @t13)) % 183.66/183.94 (define @t40 () (and @t39 @t18)) % 183.66/183.94 (define @t41 () (tptp.k5_subset_1 @t4 @t6 @t3)) % 183.66/183.94 (define @t42 () (tptp.k8_setfam_1 @t4 @t6)) % 183.66/183.94 (define @t43 () (= @t6 tptp.k1_xboole_0)) % 183.66/183.94 (define @t44 () (tptp.k6_setfam_1 @t4 @t6)) % 183.66/183.94 (define @t45 () (= @t6 (tptp.k1_setfam_1 @t4))) % 183.66/183.94 (define @t46 () (= @t4 tptp.k1_xboole_0)) % 183.66/183.94 (define @t47 () (tptp.r2_hidden @t2 @t4)) % 183.66/183.94 (define @t48 () (tptp.r2_hidden @t3 @t6)) % 183.66/183.94 (define @t49 () (@list @t3)) % 183.66/183.94 (define @t50 () (tptp.r2_hidden @t2 @t6)) % 183.66/183.94 (define @t51 () (tptp.r2_hidden @t2 @t3)) % 183.66/183.94 (define @t52 () (forall @t20 (= (= @t3 @t36) (forall @t16 (= @t51 (or @t47 @t50)))))) % 183.66/183.94 (define @t53 () (tptp.r2_hidden @t3 @t4)) % 183.66/183.94 (define @t54 () (forall @t49 (=> @t53 @t48))) % 183.66/183.94 (define @t55 () (tptp.r1_tarski @t4 @t6)) % 183.66/183.94 (define @t56 () (= @t55 @t54)) % 183.66/183.94 (define @t57 () (forall @t24 @t56)) % 183.66/183.94 (define @t58 () (forall @t20 (= (= @t3 @t37) (forall @t16 (= @t51 (and @t47 @t50)))))) % 183.66/183.94 (define @t59 () (tptp.k3_pua2mss1 @t3)) % 183.66/183.94 (define @t60 () (tptp.k7_relset_2 @t4 @t6 @t3 @t2)) % 183.66/183.94 (define @t61 () (= @t60 (tptp.k8_setfam_1 @t6 (tptp.k4_relset_2 @t13 @t6 (tptp.k6_relset_2 @t6 @t4 @t2) @t59)))) % 183.66/183.94 (define @t62 () (tptp.m1_subset_1 @t2 @t9)) % 183.66/183.94 (define @t63 () (forall @t16 (=> @t62 @t61))) % 183.66/183.94 (define @t64 () (=> @t18 @t63)) % 183.66/183.94 (define @t65 () (forall @t20 @t64)) % 183.66/183.94 (define @t66 () (tptp.k3_pua2mss1 @t4)) % 183.66/183.94 (define @t67 () (tptp.k1_zfmisc_1 @t6)) % 183.66/183.94 (define @t68 () (tptp.k4_relset_2 @t4 @t6 @t3 @t2)) % 183.66/183.94 (define @t69 () (tptp.m1_subset_1 @t68 (tptp.k1_zfmisc_1 @t67))) % 183.66/183.94 (define @t70 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t67)))) % 183.66/183.94 (define @t71 () (@list @t4 @t6 @t3 @t2)) % 183.66/183.94 (define @t72 () (forall @t71 (=> @t70 @t69))) % 183.66/183.94 (define @t73 () (tptp.k5_relset_2 @t4 @t6)) % 183.66/183.94 (define @t74 () (and (tptp.v1_relat_1 @t73) (tptp.v1_funct_1 @t73))) % 183.66/183.94 (define @t75 () (tptp.v1_relat_1 @t6)) % 183.66/183.94 (define @t76 () (forall @t24 (=> @t75 @t74))) % 183.66/183.94 (define @t77 () (tptp.m1_subset_1 @t41 @t13)) % 183.66/183.94 (define @t78 () (forall @t20 (=> @t40 @t77))) % 183.66/183.94 (define @t79 () (tptp.k6_relset_2 @t4 @t6 @t3)) % 183.66/183.94 (define @t80 () (and (tptp.v1_funct_1 @t79) (tptp.v1_funct_2 @t79 @t67 @t13) (tptp.m2_relset_1 @t79 @t67 @t13))) % 183.66/183.94 (define @t81 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t6 @t4)))) % 183.66/183.94 (define @t82 () (forall @t20 (=> @t81 @t80))) % 183.66/183.94 (define @t83 () (tptp.k8_relset_2 @t4 @t6 @t3 @t2)) % 183.66/183.94 (define @t84 () (tptp.m1_subset_1 @t83 @t67)) % 183.66/183.94 (define @t85 () (and @t18 @t62)) % 183.66/183.94 (define @t86 () (forall @t71 (=> @t85 @t84))) % 183.66/183.94 (define @t87 () (tptp.m1_eqrel_1 @t6 @t4)) % 183.66/183.94 (define @t88 () (tptp.m2_relset_1 @t3 @t4 @t6)) % 183.66/183.94 (define @t89 () (forall @t20 (=> @t88 @t29))) % 183.66/183.94 (define @t90 () (@list @t6)) % 183.66/183.94 (define @t91 () (tptp.m1_relset_1 @t3 @t4 @t6)) % 183.66/183.94 (define @t92 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 183.66/183.94 (define @t93 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 183.66/183.94 (define @t94 () (and @t25 @t75)) % 183.66/183.94 (define @t95 () (tptp.v1_xboole_0 @t6)) % 183.66/183.94 (define @t96 () (not @t95)) % 183.66/183.94 (define @t97 () (not @t26)) % 183.66/183.94 (define @t98 () (tptp.k3_xboole_0 @t6 @t3)) % 183.66/183.94 (define @t99 () (= @t68 (tptp.k9_relat_1 @t3 @t2))) % 183.66/183.94 (define @t100 () (forall @t71 (=> @t70 @t99))) % 183.66/183.94 (define @t101 () (= @t38 (tptp.k2_xboole_0 @t6 @t3))) % 183.66/183.94 (define @t102 () (forall @t20 (=> @t40 @t101))) % 183.66/183.94 (define @t103 () (= @t41 @t98)) % 183.66/183.94 (define @t104 () (forall @t20 (=> @t40 @t103))) % 183.66/183.94 (define @t105 () (= @t79 (tptp.k5_relset_2 @t6 @t3))) % 183.66/183.94 (define @t106 () (forall @t20 (=> @t81 @t105))) % 183.66/183.94 (define @t107 () (=> @t85 (= @t83 @t60))) % 183.66/183.94 (define @t108 () (forall @t71 @t107)) % 183.66/183.94 (define @t109 () (tptp.r1_tarski (tptp.k9_relat_1 @t3 @t37) (tptp.k3_xboole_0 (tptp.k9_relat_1 @t3 @t4) (tptp.k9_relat_1 @t3 @t6)))) % 183.66/183.94 (define @t110 () (forall @t20 (=> @t28 @t109))) % 183.66/183.94 (define @t111 () (tptp.m1_subset_1 @t4 @t6)) % 183.66/183.94 (define @t112 () (or @t95 @t23)) % 183.66/183.94 (define @t113 () (forall @t24 (=> @t111 @t112))) % 183.66/183.94 (define @t114 () (tptp.m1_subset_1 @t4 @t67)) % 183.66/183.94 (define @t115 () (forall @t24 (= @t114 @t55))) % 183.66/183.94 (define @t116 () (tptp.m1_subset_1 @t4 @t3)) % 183.66/183.94 (define @t117 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t3))) % 183.66/183.94 (define @t118 () (and @t23 @t117)) % 183.66/183.94 (define @t119 () (forall @t20 (=> @t118 @t116))) % 183.66/183.94 (define @t120 () (tptp.r1_tarski (tptp.k8_setfam_1 @t4 @t3) @t42)) % 183.66/183.94 (define @t121 () (tptp.r1_tarski @t6 @t3)) % 183.66/183.94 (define @t122 () (=> @t121 @t120)) % 183.66/183.94 (define @t123 () (forall @t49 (=> @t33 @t122))) % 183.66/183.94 (define @t124 () (=> @t34 @t123)) % 183.66/183.94 (define @t125 () (forall @t24 @t124)) % 183.66/183.94 (define @t126 () (tptp.v1_xboole_0 @t3)) % 183.66/183.94 (define @t127 () (forall @t20 (not (and @t23 @t117 @t126)))) % 183.66/183.94 (define @t128 () (not @t126)) % 183.66/183.94 (define @t129 () (not @t117)) % 183.66/183.94 (define @t130 () (not @t23)) % 183.66/183.94 (define @t131 () (or @t130 @t129 @t128)) % 183.66/183.94 (define @t132 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 183.66/183.94 (define @t133 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 183.66/183.94 (define @t134 () (tptp.r1_tarski (tptp.k4_subset_1 @t6 (tptp.k8_relset_2 @t4 @t6 @t3 @t132) (tptp.k8_relset_2 @t4 @t6 @t133 @t132)) (tptp.k8_relset_2 @t4 @t6 (tptp.k5_subset_1 @t4 @t3 @t133) @t132))) % 183.66/183.94 (define @t135 () (not (tptp.m1_subset_1 @t132 @t9))) % 183.66/183.94 (define @t136 () (not (tptp.m1_subset_1 @t133 @t13))) % 183.66/183.94 (define @t137 () (not @t18)) % 183.66/183.94 (define @t138 () (or @t137 @t136 @t135 @t134)) % 183.66/183.94 (define @t139 () (@list @t4 @t6 @t3 @t133 @t132)) % 183.66/183.94 (define @t140 () (forall @t139 @t138)) % 183.66/183.94 (define @t141 () (@quantifiers_skolemize @t140 3)) % 183.66/183.94 (define @t142 () (@quantifiers_skolemize @t140 2)) % 183.66/183.94 (define @t143 () (@quantifiers_skolemize @t140 0)) % 183.66/183.94 (define @t144 () (tptp.k5_subset_1 @t143 @t142 @t141)) % 183.66/183.94 (define @t145 () (tptp.k3_pua2mss1 @t144)) % 183.66/183.94 (define @t146 () (@quantifiers_skolemize @t140 4)) % 183.66/183.94 (define @t147 () (@quantifiers_skolemize @t140 1)) % 183.66/183.94 (define @t148 () (tptp.k6_relset_2 @t147 @t143 @t146)) % 183.66/183.94 (define @t149 () (tptp.k1_zfmisc_1 @t143)) % 183.66/183.94 (define @t150 () (tptp.k4_relset_2 @t149 @t147 @t148 @t145)) % 183.66/183.94 (define @t151 () (tptp.k8_setfam_1 @t147 @t150)) % 183.66/183.94 (define @t152 () (tptp.k3_pua2mss1 @t141)) % 183.66/183.94 (define @t153 () (tptp.k4_relset_2 @t149 @t147 @t148 @t152)) % 183.66/183.94 (define @t154 () (tptp.k8_setfam_1 @t147 @t153)) % 183.66/183.94 (define @t155 () (@var "BOUND_VARIABLE_8189" $$unsorted)) % 183.66/183.94 (define @t156 () (tptp.r1_tarski (tptp.k8_setfam_1 @t4 @t155) @t42)) % 183.66/183.94 (define @t157 () (not (tptp.r1_tarski @t6 @t155))) % 183.66/183.94 (define @t158 () (not (tptp.m1_subset_1 @t155 @t32))) % 183.66/183.94 (define @t159 () (not @t34)) % 183.66/183.94 (define @t160 () (or @t158 @t157 @t156)) % 183.66/183.94 (define @t161 () (or @t159 @t160)) % 183.66/183.94 (define @t162 () (forall (@list @t4 @t6 @t155) @t161)) % 183.66/183.94 (define @t163 () (@list @t155)) % 183.66/183.94 (define @t164 () (forall @t163 @t161)) % 183.66/183.94 (define @t165 () (forall @t163 @t160)) % 183.66/183.94 (define @t166 () (or @t159 @t165)) % 183.66/183.94 (define @t167 () (not @t121)) % 183.66/183.94 (define @t168 () (not @t33)) % 183.66/183.94 (define @t169 () (or @t168 @t167 @t120)) % 183.66/183.94 (define @t170 () (forall @t49 @t169)) % 183.66/183.94 (define @t171 () (not (tptp.r2_hidden @t3 @t150))) % 183.66/183.94 (define @t172 () (forall @t49 (or @t171 (tptp.r2_hidden @t3 @t153)))) % 183.66/183.94 (define @t173 () (@quantifiers_skolemize @t172 0)) % 183.66/183.94 (define @t174 () (tptp.r2_hidden @t173 @t150)) % 183.66/183.94 (define @t175 () (tptp.r2_hidden @t173 @t153)) % 183.66/183.94 (define @t176 () (not @t174)) % 183.66/183.94 (define @t177 () (or @t176 @t175)) % 183.66/183.94 (define @t178 () (not @t39)) % 183.66/183.94 (define @t179 () (or @t178 @t137)) % 183.66/183.94 (define @t180 () (not @t40)) % 183.66/183.94 (define @t181 () (@list @t143 @t142 @t141)) % 183.66/183.94 (define @t182 () (or @t136 @t135 @t134)) % 183.66/183.94 (define @t183 () (or @t137 @t182)) % 183.66/183.94 (define @t184 () (forall @t139 @t183)) % 183.66/183.94 (define @t185 () (@list @t133 @t132)) % 183.66/183.94 (define @t186 () (forall @t185 @t183)) % 183.66/183.94 (define @t187 () (forall @t185 @t182)) % 183.66/183.94 (define @t188 () (@var "BOUND_VARIABLE_7798" $$unsorted)) % 183.66/183.94 (define @t189 () (or @t137 @t187)) % 183.66/183.94 (define @t190 () (tptp.r1_tarski (tptp.k4_subset_1 @t6 (tptp.k8_relset_2 @t4 @t6 @t3 @t188) (tptp.k8_relset_2 @t4 @t6 @t2 @t188)) (tptp.k8_relset_2 @t4 @t6 @t5 @t188))) % 183.66/183.94 (define @t191 () (not (tptp.m1_subset_1 @t188 @t9))) % 183.66/183.94 (define @t192 () (not @t14)) % 183.66/183.94 (define @t193 () (or @t192 @t191 @t190)) % 183.66/183.94 (define @t194 () (@list @t2 @t188)) % 183.66/183.94 (define @t195 () (forall @t194 @t193)) % 183.66/183.94 (define @t196 () (or @t191 @t190)) % 183.66/183.94 (define @t197 () (or @t192 @t196)) % 183.66/183.94 (define @t198 () (forall @t194 @t197)) % 183.66/183.94 (define @t199 () (@list @t188)) % 183.66/183.94 (define @t200 () (forall @t199 @t197)) % 183.66/183.94 (define @t201 () (forall @t199 @t196)) % 183.66/183.94 (define @t202 () (or @t192 @t201)) % 183.66/183.94 (define @t203 () (forall @t11 (or (not @t10) @t7))) % 183.66/183.94 (define @t204 () (tptp.m1_subset_1 @t141 @t149)) % 183.66/183.94 (define @t205 () (tptp.k8_relset_2 @t143 @t147 @t144 @t146)) % 183.66/183.94 (define @t206 () (tptp.k8_relset_2 @t143 @t147 @t141 @t146)) % 183.66/183.94 (define @t207 () (tptp.k8_relset_2 @t143 @t147 @t142 @t146)) % 183.66/183.94 (define @t208 () (tptp.k4_subset_1 @t147 @t207 @t206)) % 183.66/183.94 (define @t209 () (tptp.r1_tarski @t208 @t205)) % 183.66/183.94 (define @t210 () (tptp.m1_subset_1 @t146 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t143 @t147)))) % 183.66/183.94 (define @t211 () (not @t210)) % 183.66/183.94 (define @t212 () (not @t204)) % 183.66/183.94 (define @t213 () (tptp.m1_subset_1 @t142 @t149)) % 183.66/183.94 (define @t214 () (not @t213)) % 183.66/183.94 (define @t215 () (or @t214 @t212 @t211 @t209)) % 183.66/183.94 (define @t216 () (@list true)) % 183.66/183.94 (define @t217 () (@list @t215)) % 183.66/183.94 (define @t218 () (tptp.k3_xboole_0 @t142 @t141)) % 183.66/183.94 (define @t219 () (= @t144 @t218)) % 183.66/183.94 (define @t220 () (or @t214 @t212 @t219)) % 183.66/183.94 (define @t221 () (@list false false false)) % 183.66/183.94 (define @t222 () (@list @t149 @t147 @t148 @t145)) % 183.66/183.94 (define @t223 () (tptp.k1_zfmisc_1 @t147)) % 183.66/183.94 (define @t224 () (@list @t147 @t143 @t146)) % 183.66/183.94 (define @t225 () (tptp.m2_relset_1 @t148 @t149 @t223)) % 183.66/183.94 (define @t226 () (and (tptp.v1_funct_1 @t148) (tptp.v1_funct_2 @t148 @t149 @t223) @t225)) % 183.66/183.94 (define @t227 () (or @t211 @t226)) % 183.66/183.94 (define @t228 () (@list false false)) % 183.66/183.94 (define @t229 () (@list false)) % 183.66/183.94 (define @t230 () (tptp.m1_subset_1 @t148 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t149 @t223)))) % 183.66/183.94 (define @t231 () (not @t225)) % 183.66/183.94 (define @t232 () (or @t231 @t230)) % 183.66/183.94 (define @t233 () (= @t150 (tptp.k9_relat_1 @t148 @t145))) % 183.66/183.94 (define @t234 () (not @t230)) % 183.66/183.94 (define @t235 () (or @t234 @t233)) % 183.66/183.94 (define @t236 () (tptp.k3_xboole_0 @t141 @t142)) % 183.66/183.94 (define @t237 () (= @t218 @t236)) % 183.66/183.94 (define @t238 () (tptp.k3_pua2mss1 @t142)) % 183.66/183.94 (define @t239 () (tptp.k3_xboole_0 @t152 @t238)) % 183.66/183.94 (define @t240 () (tptp.k3_pua2mss1 @t236)) % 183.66/183.94 (define @t241 () (= @t240 @t239)) % 183.66/183.94 (define @t242 () (tptp.k9_relat_1 @t148 @t239)) % 183.66/183.94 (define @t243 () (tptp.r2_hidden @t173 @t242)) % 183.66/183.94 (define @t244 () (and @t219 @t237 @t233 @t241 @t174)) % 183.66/183.94 (define @t245 () (tptp.k5_relset_2 @t143 @t146)) % 183.66/183.94 (define @t246 () (= @t148 @t245)) % 183.66/183.94 (define @t247 () (or @t211 @t246)) % 183.66/183.94 (define @t248 () (@list @t149 @t147 @t148 @t152)) % 183.66/183.94 (define @t249 () (tptp.k9_relat_1 @t148 @t152)) % 183.66/183.94 (define @t250 () (= @t153 @t249)) % 183.66/183.94 (define @t251 () (or @t234 @t250)) % 183.66/183.94 (define @t252 () (tptp.k9_relat_1 @t245 @t152)) % 183.66/183.94 (define @t253 () (tptp.r2_hidden @t173 @t252)) % 183.66/183.94 (define @t254 () (not @t253)) % 183.66/183.94 (define @t255 () (not @t250)) % 183.66/183.94 (define @t256 () (not @t246)) % 183.66/183.94 (define @t257 () (not @t175)) % 183.66/183.94 (define @t258 () (and @t246 @t250 @t257)) % 183.66/183.94 (define @t259 () (tptp.k9_relat_1 @t148 @t238)) % 183.66/183.94 (define @t260 () (tptp.k3_xboole_0 @t249 @t259)) % 183.66/183.94 (define @t261 () (tptp.v1_relat_1 @t146)) % 183.66/183.94 (define @t262 () (or @t211 @t261)) % 183.66/183.94 (define @t263 () (tptp.v1_relat_1 @t245)) % 183.66/183.94 (define @t264 () (and @t263 (tptp.v1_funct_1 @t245))) % 183.66/183.94 (define @t265 () (not @t261)) % 183.66/183.94 (define @t266 () (or @t265 @t264)) % 183.66/183.94 (define @t267 () (tptp.v1_relat_1 @t148)) % 183.66/183.94 (define @t268 () (tptp.r1_tarski @t242 @t260)) % 183.66/183.94 (define @t269 () (not @t267)) % 183.66/183.94 (define @t270 () (or @t269 @t268)) % 183.66/183.94 (define @t271 () (forall @t49 (or (not (tptp.r2_hidden @t3 @t242)) (tptp.r2_hidden @t3 @t260)))) % 183.66/183.94 (define @t272 () (= @t268 @t271)) % 183.66/183.94 (define @t273 () (@list @t173)) % 183.66/183.94 (define @t274 () (tptp.r2_hidden @t173 @t260)) % 183.66/183.94 (define @t275 () (not @t243)) % 183.66/183.94 (define @t276 () (or @t275 @t274)) % 183.66/183.94 (define @t277 () (tptp.k9_relat_1 @t245 @t238)) % 183.66/183.94 (define @t278 () (and (tptp.r2_hidden @t173 @t277) @t253)) % 183.66/183.94 (define @t279 () (tptp.k3_xboole_0 @t277 @t252)) % 183.66/183.94 (define @t280 () (forall @t16 (= (tptp.r2_hidden @t2 @t279) (and (tptp.r2_hidden @t2 @t277) (tptp.r2_hidden @t2 @t252))))) % 183.66/183.94 (define @t281 () (= (= @t279 @t279) @t280)) % 183.66/183.94 (define @t282 () (@list @t58)) % 183.66/183.94 (define @t283 () (tptp.r2_hidden @t173 @t279)) % 183.66/183.94 (define @t284 () (= @t283 @t278)) % 183.66/183.94 (define @t285 () (= @t260 (tptp.k3_xboole_0 @t259 @t249))) % 183.66/183.94 (define @t286 () (and @t246 @t285 @t274)) % 183.66/183.94 (define @t287 () (not @t177)) % 183.66/183.94 (define @t288 () (not @t172)) % 183.66/183.94 (define @t289 () (tptp.r1_tarski @t150 @t153)) % 183.66/183.94 (define @t290 () (= @t289 @t172)) % 183.66/183.94 (define @t291 () (tptp.k1_zfmisc_1 @t223)) % 183.66/183.94 (define @t292 () (tptp.m1_subset_1 @t150 @t291)) % 183.66/183.94 (define @t293 () (or @t234 @t292)) % 183.66/183.94 (define @t294 () (tptp.m1_subset_1 @t153 @t291)) % 183.66/183.94 (define @t295 () (or @t234 @t294)) % 183.66/183.94 (define @t296 () (tptp.r1_tarski @t154 @t151)) % 183.66/183.94 (define @t297 () (not @t289)) % 183.66/183.94 (define @t298 () (not @t294)) % 183.66/183.94 (define @t299 () (not @t292)) % 183.66/183.94 (define @t300 () (or @t299 @t298 @t297 @t296)) % 183.66/183.94 (define @t301 () (@list false false false false)) % 183.66/183.94 (define @t302 () (tptp.m1_subset_1 @t154 (tptp.k1_zfmisc_1 @t151))) % 183.66/183.94 (define @t303 () (= @t296 @t302)) % 183.66/183.94 (define @t304 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 183.66/183.94 (define @t305 () (= (tptp.k7_relset_2 @t4 @t6 @t3 @t304) (tptp.k8_setfam_1 @t6 (tptp.k4_relset_2 @t13 @t6 (tptp.k6_relset_2 @t6 @t4 @t304) @t59)))) % 183.66/183.94 (define @t306 () (not (tptp.m1_subset_1 @t304 @t9))) % 183.66/183.94 (define @t307 () (or @t306 @t305)) % 183.66/183.94 (define @t308 () (or @t137 @t307)) % 183.66/183.94 (define @t309 () (forall (@list @t4 @t6 @t3 @t304) @t308)) % 183.66/183.94 (define @t310 () (@list @t304)) % 183.66/183.94 (define @t311 () (forall @t310 @t308)) % 183.66/183.94 (define @t312 () (forall @t310 @t307)) % 183.66/183.94 (define @t313 () (or @t137 @t312)) % 183.66/183.94 (define @t314 () (not @t62)) % 183.66/183.94 (define @t315 () (forall @t16 (or @t314 @t61))) % 183.66/183.94 (define @t316 () (@list @t143 @t147 @t144 @t146)) % 183.66/183.94 (define @t317 () (tptp.m1_subset_1 @t144 @t149)) % 183.66/183.94 (define @t318 () (or @t214 @t212 @t317)) % 183.66/183.94 (define @t319 () (tptp.k7_relset_2 @t143 @t147 @t144 @t146)) % 183.66/183.94 (define @t320 () (= @t319 @t151)) % 183.66/183.94 (define @t321 () (not @t317)) % 183.66/183.94 (define @t322 () (or @t321 @t211 @t320)) % 183.66/183.94 (define @t323 () (@list @t143 @t147 @t141 @t146)) % 183.66/183.94 (define @t324 () (tptp.k7_relset_2 @t143 @t147 @t141 @t146)) % 183.66/183.94 (define @t325 () (= @t324 @t154)) % 183.66/183.94 (define @t326 () (or @t212 @t211 @t325)) % 183.66/183.94 (define @t327 () (= @t60 @t83)) % 183.66/183.94 (define @t328 () (or @t137 @t314 @t327)) % 183.66/183.94 (define @t329 () (or @t137 @t314)) % 183.66/183.94 (define @t330 () (not @t85)) % 183.66/183.94 (define @t331 () (or @t321 @t211 (= @t319 @t205))) % 183.66/183.94 (define @t332 () (forall @t71 @t328)) % 183.66/183.94 (define @t333 () (= @t205 @t319)) % 183.66/183.94 (define @t334 () (or @t321 @t211 @t333)) % 183.66/183.94 (define @t335 () (@list @t332)) % 183.66/183.94 (define @t336 () (or @t212 @t211 (= @t324 @t206))) % 183.66/183.94 (define @t337 () (= @t206 @t324)) % 183.66/183.94 (define @t338 () (or @t212 @t211 @t337)) % 183.66/183.94 (define @t339 () (tptp.k1_zfmisc_1 @t205)) % 183.66/183.94 (define @t340 () (tptp.m1_subset_1 @t206 @t339)) % 183.66/183.94 (define @t341 () (and @t337 @t333 @t325 @t320 @t302)) % 183.66/183.94 (define @t342 () (@list false false false false false)) % 183.66/183.94 (define @t343 () (tptp.k2_xboole_0 @t207 @t206)) % 183.66/183.94 (define @t344 () (forall @t16 (= (tptp.r2_hidden @t2 @t343) (or (tptp.r2_hidden @t2 @t207) (tptp.r2_hidden @t2 @t206))))) % 183.66/183.94 (define @t345 () (= (= @t343 @t343) @t344)) % 183.66/183.94 (define @t346 () (forall @t49 (or (not (tptp.r2_hidden @t3 @t208)) (tptp.r2_hidden @t3 @t205)))) % 183.66/183.94 (define @t347 () (@quantifiers_skolemize @t346 0)) % 183.66/183.94 (define @t348 () (= @t209 @t346)) % 183.66/183.94 (define @t349 () (not @t346)) % 183.66/183.94 (define @t350 () (@list true false)) % 183.66/183.94 (define @t351 () (tptp.r2_hidden @t347 @t208)) % 183.66/183.94 (define @t352 () (tptp.r2_hidden @t347 @t205)) % 183.66/183.94 (define @t353 () (not @t351)) % 183.66/183.94 (define @t354 () (or @t353 @t352)) % 183.66/183.94 (define @t355 () (@list @t354)) % 183.66/183.94 (define @t356 () (tptp.m1_subset_1 @t206 @t223)) % 183.66/183.94 (define @t357 () (or @t212 @t211 @t356)) % 183.66/183.94 (define @t358 () (@list @t143 @t147 @t142 @t146)) % 183.66/183.94 (define @t359 () (tptp.m1_subset_1 @t207 @t223)) % 183.66/183.94 (define @t360 () (or @t214 @t211 @t359)) % 183.66/183.94 (define @t361 () (= @t208 @t343)) % 183.66/183.94 (define @t362 () (not @t356)) % 183.66/183.94 (define @t363 () (not @t359)) % 183.66/183.94 (define @t364 () (or @t363 @t362 @t361)) % 183.66/183.94 (define @t365 () (tptp.r2_hidden @t347 @t343)) % 183.66/183.94 (define @t366 () (tptp.r2_hidden @t347 @t206)) % 183.66/183.94 (define @t367 () (tptp.r2_hidden @t347 @t207)) % 183.66/183.94 (define @t368 () (or @t367 @t366)) % 183.66/183.94 (define @t369 () (= @t365 @t368)) % 183.66/183.94 (define @t370 () (@list @t347 @t207 @t205)) % 183.66/183.94 (define @t371 () (tptp.r1_tarski @t207 @t205)) % 183.66/183.94 (define @t372 () (tptp.m1_subset_1 @t207 @t339)) % 183.66/183.94 (define @t373 () (forall @t24 (= @t55 @t114))) % 183.66/183.94 (define @t374 () (= @t371 @t372)) % 183.66/183.94 (define @t375 () (= @t372 @t371)) % 183.66/183.94 (define @t376 () (tptp.k4_relset_2 @t149 @t147 @t148 @t238)) % 183.66/183.94 (define @t377 () (forall @t49 (or @t171 (tptp.r2_hidden @t3 @t376)))) % 183.66/183.94 (define @t378 () (@quantifiers_skolemize @t377 0)) % 183.66/183.94 (define @t379 () (tptp.r2_hidden @t378 @t150)) % 183.66/183.94 (define @t380 () (tptp.r2_hidden @t378 @t376)) % 183.66/183.94 (define @t381 () (not @t379)) % 183.66/183.94 (define @t382 () (or @t381 @t380)) % 183.66/183.94 (define @t383 () (tptp.r2_hidden @t378 @t242)) % 183.66/183.94 (define @t384 () (and @t219 @t237 @t233 @t241 @t379)) % 183.66/183.94 (define @t385 () (@list @t149 @t147 @t148 @t238)) % 183.66/183.94 (define @t386 () (= @t376 @t259)) % 183.66/183.94 (define @t387 () (or @t234 @t386)) % 183.66/183.94 (define @t388 () (tptp.r2_hidden @t378 @t259)) % 183.66/183.94 (define @t389 () (not @t388)) % 183.66/183.94 (define @t390 () (not @t386)) % 183.66/183.94 (define @t391 () (not @t380)) % 183.66/183.94 (define @t392 () (and @t386 @t391)) % 183.66/183.94 (define @t393 () (@list @t378)) % 183.66/183.94 (define @t394 () (tptp.r2_hidden @t378 @t260)) % 183.66/183.94 (define @t395 () (not @t383)) % 183.66/183.94 (define @t396 () (or @t395 @t394)) % 183.66/183.94 (define @t397 () (and (tptp.r2_hidden @t378 @t249) @t388)) % 183.66/183.94 (define @t398 () (forall @t16 (= (tptp.r2_hidden @t2 @t260) (and (tptp.r2_hidden @t2 @t249) (tptp.r2_hidden @t2 @t259))))) % 183.66/183.94 (define @t399 () (= (= @t260 @t260) @t398)) % 183.66/183.94 (define @t400 () (= @t394 @t397)) % 183.66/183.94 (define @t401 () (not @t382)) % 183.66/183.94 (define @t402 () (not @t377)) % 183.66/183.94 (define @t403 () (tptp.r1_tarski @t150 @t376)) % 183.66/183.94 (define @t404 () (= @t403 @t377)) % 183.66/183.94 (define @t405 () (tptp.m1_subset_1 @t376 @t291)) % 183.66/183.94 (define @t406 () (or @t234 @t405)) % 183.66/183.94 (define @t407 () (tptp.k8_setfam_1 @t147 @t376)) % 183.66/183.94 (define @t408 () (tptp.r1_tarski @t407 @t151)) % 183.66/183.94 (define @t409 () (not @t403)) % 183.66/183.94 (define @t410 () (not @t405)) % 183.66/183.94 (define @t411 () (or @t299 @t410 @t409 @t408)) % 183.66/183.94 (define @t412 () (tptp.k7_relset_2 @t143 @t147 @t142 @t146)) % 183.66/183.94 (define @t413 () (= @t412 @t407)) % 183.66/183.94 (define @t414 () (or @t214 @t211 @t413)) % 183.66/183.94 (define @t415 () (or @t214 @t211 (= @t412 @t207))) % 183.66/183.94 (define @t416 () (= @t207 @t412)) % 183.66/183.94 (define @t417 () (or @t214 @t211 @t416)) % 183.66/183.94 (define @t418 () (and @t416 @t333 @t413 @t320 @t408)) % 183.66/183.94 (define @t419 () (not @t111)) % 183.66/183.94 (define @t420 () (tptp.m1_subset_1 @t347 @t205)) % 183.66/183.94 (define @t421 () (not @t372)) % 183.66/183.94 (define @t422 () (not @t367)) % 183.66/183.94 (define @t423 () (or @t422 @t421 @t420)) % 183.66/183.94 (define @t424 () (@list @t347 @t206 @t205)) % 183.66/183.94 (define @t425 () (not @t340)) % 183.66/183.94 (define @t426 () (not @t366)) % 183.66/183.94 (define @t427 () (or @t426 @t425 @t420)) % 183.66/183.94 (define @t428 () (tptp.v1_xboole_0 @t205)) % 183.66/183.94 (define @t429 () (not @t420)) % 183.66/183.94 (define @t430 () (or @t429 @t428 @t352)) % 183.66/183.94 (define @t431 () (not @t428)) % 183.66/183.94 (define @t432 () (or @t422 @t421 @t431)) % 183.66/183.94 (define @t433 () (or @t426 @t425 @t431)) % 183.66/183.94 (define @t434 () (not @t433)) % 183.66/183.94 (define @t435 () (forall @t20 @t131)) % 183.66/183.94 (assume @p1 @t22) % 183.66/183.94 (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t6 @t4))))) % 183.66/183.94 (assume @p3 (forall @t27 (=> @t26 @t25))) % 183.66/183.94 (assume @p4 @t30) % 183.66/183.94 (assume @p5 (forall @t20 (=> @t35 (= @t31 (tptp.k1_relset_2 @t4 @t3 @t6))))) % 183.66/183.94 (assume @p6 (forall @t24 (= @t36 (tptp.k2_xboole_0 @t6 @t4)))) % 183.66/183.94 (assume @p7 (forall @t24 (= @t37 (tptp.k3_xboole_0 @t6 @t4)))) % 183.66/183.94 (assume @p8 (forall @t20 (=> @t40 (= @t38 (tptp.k4_subset_1 @t4 @t3 @t6))))) % 183.66/183.94 (assume @p9 (forall @t20 (=> @t40 (= @t41 (tptp.k5_subset_1 @t4 @t3 @t6))))) % 183.66/183.94 (assume @p10 (forall @t24 (=> @t34 (and (=> (not @t43) (= @t42 @t44)) (=> @t43 (= @t42 @t4)))))) % 183.66/183.94 (assume @p11 (forall @t24 (and (=> (not @t46) (= @t45 (forall @t49 (= @t48 (forall @t16 (=> @t47 (tptp.r2_hidden @t3 @t2))))))) (=> @t46 (= @t45 @t43))))) % 183.66/183.94 (assume @p12 @t52) % 183.66/183.94 (assume @p13 @t57) % 183.66/183.94 (assume @p14 @t58) % 183.66/183.94 (assume @p15 @t65) % 183.66/183.94 (assume @p16 (forall @t20 (=> @t35 (tptp.m1_subset_1 @t31 @t32)))) % 183.66/183.94 (assume @p17 true) % 183.66/183.94 (assume @p18 (forall @t27 (tptp.m1_eqrel_1 @t66 @t4))) % 183.66/183.94 (assume @p19 @t72) % 183.66/183.94 (assume @p20 (forall @t20 (=> @t40 (tptp.m1_subset_1 @t38 @t13)))) % 183.66/183.94 (assume @p21 @t76) % 183.66/183.94 (assume @p22 @t78) % 183.66/183.94 (assume @p23 @t82) % 183.66/183.94 (assume @p24 (forall @t24 (=> @t34 (tptp.m1_subset_1 @t44 @t13)))) % 183.66/183.94 (assume @p25 @t86) % 183.66/183.94 (assume @p26 (forall @t24 (=> @t34 (tptp.m1_subset_1 @t42 @t13)))) % 183.66/183.94 (assume @p27 (forall @t24 (=> @t87 @t34))) % 183.66/183.94 (assume @p28 @t89) % 183.66/183.94 (assume @p29 (forall @t27 (exists @t90 @t87))) % 183.66/183.94 (assume @p30 (forall @t24 (exists @t49 @t91))) % 183.66/183.94 (assume @p31 (forall @t27 (exists @t90 (tptp.m1_subset_1 @t6 @t4)))) % 183.66/183.94 (assume @p32 (forall @t24 (exists @t49 @t88))) % 183.66/183.94 (assume @p33 (and @t93 @t92 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 183.66/183.94 (assume @p34 (forall @t24 (=> @t94 (tptp.v1_relat_1 @t37)))) % 183.66/183.94 (assume @p35 (forall @t27 (not (tptp.v1_xboole_0 @t13)))) % 183.66/183.94 (assume @p36 (forall @t24 (tptp.v1_relat_1 @t8))) % 183.66/183.94 (assume @p37 (forall @t24 (=> @t94 (tptp.v1_relat_1 @t36)))) % 183.66/183.94 (assume @p38 (and @t93 @t92)) % 183.66/183.94 (assume @p39 (forall @t24 (=> (and @t97 @t96) (not (tptp.v1_xboole_0 @t8))))) % 183.66/183.94 (assume @p40 (forall @t20 (=> @t35 (= (tptp.k1_relset_2 @t4 @t6 @t6) @t6)))) % 183.66/183.94 (assume @p41 (forall @t24 (= (tptp.k2_xboole_0 @t4 @t4) @t4))) % 183.66/183.94 (assume @p42 (forall @t24 (= (tptp.k3_xboole_0 @t4 @t4) @t4))) % 183.66/183.94 (assume @p43 (forall @t20 (=> @t40 (= (tptp.k4_subset_1 @t4 @t6 @t6) @t6)))) % 183.66/183.94 (assume @p44 (forall @t20 (=> @t40 (= (tptp.k5_subset_1 @t4 @t6 @t6) @t6)))) % 183.66/183.94 (assume @p45 (exists @t27 (and @t26 @t25))) % 183.66/183.94 (assume @p46 (forall @t27 (=> @t97 (exists @t90 (and @t39 @t96))))) % 183.66/183.94 (assume @p47 (forall @t24 (exists @t49 (and @t91 @t28 (tptp.v1_funct_1 @t3))))) % 183.66/183.94 (assume @p48 (exists @t27 (and @t97 @t25))) % 183.66/183.94 (assume @p49 (forall @t27 (exists @t90 (and @t39 @t95)))) % 183.66/183.94 (assume @p50 (exists @t27 (and @t25 (tptp.v3_relat_1 @t4)))) % 183.66/183.94 (assume @p51 (forall @t20 (=> @t35 (= @t31 @t98)))) % 183.66/183.94 (assume @p52 @t100) % 183.66/183.94 (assume @p53 @t102) % 183.66/183.94 (assume @p54 @t104) % 183.66/183.94 (assume @p55 @t106) % 183.66/183.94 (assume @p56 (forall @t24 (=> @t34 (= @t44 (tptp.k1_setfam_1 @t6))))) % 183.66/183.94 (assume @p57 @t108) % 183.66/183.94 (assume @p58 (forall @t20 (= @t88 @t91))) % 183.66/183.94 (assume @p59 (forall @t24 (tptp.r1_tarski @t4 @t4))) % 183.66/183.94 (assume @p60 @t110) % 183.66/183.94 (assume @p61 (forall @t27 (= (tptp.k2_xboole_0 @t4 tptp.k1_xboole_0) @t4))) % 183.66/183.94 (assume @p62 (forall @t24 (=> @t23 @t111))) % 183.66/183.94 (assume @p63 (forall @t27 (= (tptp.k3_xboole_0 @t4 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 183.66/183.94 (assume @p64 @t113) % 183.66/183.94 (assume @p65 @t115) % 183.66/183.94 (assume @p66 (forall @t27 (=> (tptp.r1_tarski @t4 tptp.k1_xboole_0) @t46))) % 183.66/183.94 (assume @p67 (forall @t24 (= (tptp.k3_pua2mss1 @t37) (tptp.k3_xboole_0 @t66 (tptp.k3_pua2mss1 @t6))))) % 183.66/183.94 (assume @p68 @t119) % 183.66/183.94 (assume @p69 @t125) % 183.66/183.94 (assume @p70 @t127) % 183.66/183.94 (assume @p71 (forall @t27 (=> @t26 @t46))) % 183.66/183.94 (assume @p72 (forall @t24 (not (and @t23 @t95)))) % 183.66/183.94 (assume @p73 (forall @t24 (not (and @t26 (not (= @t4 @t6)) @t95)))) % 183.66/183.94 (step @p74 :rule aci_norm :args ((= (or @t130 (or @t129 @t128)) @t131))) % 183.66/183.94 (step @p75 :rule bool-and-de-morgan :args (@t117 @t126 true)) % 183.66/183.94 (step @p76 :rule refl :args (@t130)) % 183.66/183.94 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t130 (not (and @t117 @t126))))) % 183.66/183.94 (step @p78 :rule bool-and-de-morgan :args (@t23 @t117 (and @t126))) % 183.66/183.94 (step @p79 :rule trans :premises (@p78 @p77)) % 183.66/183.94 (step @p80 :rule trans :premises (@p79 @p74)) % 183.66/183.94 (step @p81 :rule cong :premises (@p80) :args (@t127)) % 183.66/183.94 (step @p82 :rule eq_resolve :premises (@p70 @p81)) % 183.66/183.94 (step @p83 :rule eq-symm :args (@t114 @t55)) % 183.66/183.94 (step @p84 :rule cong :premises (@p83) :args (@t115)) % 183.66/183.94 (step @p85 :rule eq_resolve :premises (@p65 @p84)) % 183.66/183.94 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t154 @t151))) % 183.66/183.94 (step @p87 :rule aci_norm :args ((= @t161 (or @t159 @t158 @t157 @t156)))) % 183.66/183.94 (step @p88 :rule cong :premises (@p87) :args (@t162)) % 183.66/183.94 (step @p89 :rule quant-merge-prenex :args ((= (forall @t24 @t164) @t162))) % 183.66/183.94 (step @p90 :rule alpha_equiv :args (@t165 (@list @t155) (@list @t3))) % 183.66/183.94 (step @p91 :rule refl :args (@t159)) % 183.66/183.94 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t166)) % 183.66/183.94 (step @p93 :rule quant-miniscope-or :args ((= @t164 @t166))) % 183.66/183.94 (step @p94 :rule trans :premises (@p93 @p92)) % 183.66/183.94 (step @p95 :rule symm :premises (@p94)) % 183.66/183.94 (step @p96 :rule cong :premises (@p95) :args ((forall @t24 (or @t159 @t170)))) % 183.66/183.94 (step @p97 :rule trans :premises (@p96 @p89)) % 183.66/183.94 (step @p98 :rule trans :premises (@p97 @p88)) % 183.66/183.94 (step @p99 :rule bool-impl-elim :args (@t34 @t170)) % 183.66/183.94 (step @p100 :rule cong :premises (@p99) :args ((forall @t24 (=> @t34 @t170)))) % 183.66/183.94 (step @p101 :rule trans :premises (@p100 @p98)) % 183.66/183.94 (step @p102 :rule aci_norm :args ((= (or @t168 (or @t167 @t120)) @t169))) % 183.66/183.94 (step @p103 :rule bool-impl-elim :args (@t121 @t120)) % 183.66/183.94 (step @p104 :rule refl :args (@t168)) % 183.66/183.94 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t168 @t122))) % 183.66/183.94 (step @p106 :rule trans :premises (@p105 @p102)) % 183.66/183.94 (step @p107 :rule bool-impl-elim :args (@t33 @t122)) % 183.66/183.94 (step @p108 :rule trans :premises (@p107 @p106)) % 183.66/183.94 (step @p109 :rule cong :premises (@p108) :args (@t123)) % 183.66/183.94 (step @p110 :rule refl :args (@t34)) % 183.66/183.94 (step @p111 :rule cong :premises (@p110 @p109) :args (@t124)) % 183.66/183.94 (step @p112 :rule cong :premises (@p111) :args (@t125)) % 183.66/183.94 (step @p113 :rule trans :premises (@p112 @p101)) % 183.66/183.94 (step @p114 :rule eq_resolve :premises (@p69 @p113)) % 183.66/183.94 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t147 @t150 @t153))) % 183.66/183.94 (step @p116 :rule bool-impl-elim :args (@t53 @t48)) % 183.66/183.94 (step @p117 :rule cong :premises (@p116) :args (@t54)) % 183.66/183.94 (step @p118 :rule refl :args (@t55)) % 183.66/183.94 (step @p119 :rule cong :premises (@p118 @p117) :args (@t56)) % 183.66/183.94 (step @p120 :rule cong :premises (@p119) :args (@t57)) % 183.66/183.94 (step @p121 :rule eq_resolve :premises (@p13 @p120)) % 183.66/183.94 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t150 @t153))) % 183.66/183.94 (step @p123 :rule bool-double-not-elim :args (@t174)) % 183.66/183.94 (step @p124 :rule refl :args (@t177)) % 183.66/183.94 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t177 (not @t176)))) % 183.66/183.94 (step @p126 :rule cnf_or_neg :args (@t177 0)) % 183.66/183.94 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 183.66/183.94 (step @p128 :rule reordering :premises (@p127) :args ((or @t174 @t177))) % 183.66/183.94 (step @p129 :rule cnf_or_neg :args (@t177 1)) % 183.66/183.94 (step @p130 :rule aci_norm :args ((= (or @t179 @t103) (or @t178 @t137 @t103)))) % 183.66/183.94 (step @p131 :rule refl :args (@t103)) % 183.66/183.94 (step @p132 :rule bool-and-de-morgan :args (@t39 @t18 true)) % 183.66/183.94 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or @t180 @t103))) % 183.66/183.94 (step @p134 :rule trans :premises (@p133 @p130)) % 183.66/183.94 (step @p135 :rule bool-impl-elim :args (@t40 @t103)) % 183.66/183.94 (step @p136 :rule trans :premises (@p135 @p134)) % 183.66/183.94 (step @p137 :rule cong :premises (@p136) :args (@t104)) % 183.66/183.94 (step @p138 :rule eq_resolve :premises (@p54 @p137)) % 183.66/183.94 (step @p139 :rule instantiate :premises (@p138) :args (@t181)) % 183.66/183.94 (step @p140 :rule aci_norm :args ((= @t183 @t138))) % 183.66/183.94 (step @p141 :rule cong :premises (@p140) :args (@t184)) % 183.66/183.94 (step @p142 :rule quant-merge-prenex :args ((= (forall @t20 @t186) @t184))) % 183.66/183.94 (step @p143 :rule alpha_equiv :args (@t187 (@list @t133 @t132) (@list @t2 @t188))) % 183.66/183.94 (step @p144 :rule refl :args (@t137)) % 183.66/183.94 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t189)) % 183.66/183.94 (step @p146 :rule quant-miniscope-or :args ((= @t186 @t189))) % 183.66/183.94 (step @p147 :rule trans :premises (@p146 @p145)) % 183.66/183.94 (step @p148 :rule symm :premises (@p147)) % 183.66/183.94 (step @p149 :rule cong :premises (@p148) :args ((forall @t20 (or @t137 @t195)))) % 183.66/183.94 (step @p150 :rule trans :premises (@p149 @p142)) % 183.66/183.94 (step @p151 :rule trans :premises (@p150 @p141)) % 183.66/183.94 (step @p152 :rule bool-impl-elim :args (@t18 @t195)) % 183.66/183.94 (step @p153 :rule cong :premises (@p152) :args ((forall @t20 (=> @t18 @t195)))) % 183.66/183.94 (step @p154 :rule trans :premises (@p153 @p151)) % 183.66/183.94 (step @p155 :rule aci_norm :args ((= @t197 @t193))) % 183.66/183.94 (step @p156 :rule cong :premises (@p155) :args (@t198)) % 183.66/183.94 (step @p157 :rule quant-merge-prenex :args ((= (forall @t16 @t200) @t198))) % 183.66/183.94 (step @p158 :rule alpha_equiv :args (@t201 (@list @t188) (@list @t1))) % 183.66/183.94 (step @p159 :rule refl :args (@t192)) % 183.66/183.94 (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t202)) % 183.66/183.94 (step @p161 :rule quant-miniscope-or :args ((= @t200 @t202))) % 183.66/183.94 (step @p162 :rule trans :premises (@p161 @p160)) % 183.66/183.94 (step @p163 :rule symm :premises (@p162)) % 183.66/183.94 (step @p164 :rule cong :premises (@p163) :args ((forall @t16 (or @t192 @t203)))) % 183.66/183.94 (step @p165 :rule trans :premises (@p164 @p157)) % 183.66/183.94 (step @p166 :rule trans :premises (@p165 @p156)) % 183.66/183.94 (step @p167 :rule bool-impl-elim :args (@t14 @t203)) % 183.66/183.94 (step @p168 :rule cong :premises (@p167) :args ((forall @t16 (=> @t14 @t203)))) % 183.66/183.94 (step @p169 :rule trans :premises (@p168 @p166)) % 183.66/183.94 (step @p170 :rule bool-impl-elim :args (@t10 @t7)) % 183.66/183.94 (step @p171 :rule cong :premises (@p170) :args (@t12)) % 183.66/183.94 (step @p172 :rule refl :args (@t14)) % 183.66/183.94 (step @p173 :rule cong :premises (@p172 @p171) :args (@t15)) % 183.66/183.94 (step @p174 :rule cong :premises (@p173) :args (@t17)) % 183.66/183.94 (step @p175 :rule trans :premises (@p174 @p169)) % 183.66/183.94 (step @p176 :rule refl :args (@t18)) % 183.66/183.94 (step @p177 :rule cong :premises (@p176 @p175) :args (@t19)) % 183.66/183.94 (step @p178 :rule cong :premises (@p177) :args (@t21)) % 183.66/183.94 (step @p179 :rule trans :premises (@p178 @p154)) % 183.66/183.94 (step @p180 :rule cong :premises (@p179) :args (@t22)) % 183.66/183.94 (step @p181 :rule eq_resolve :premises (@p1 @p180)) % 183.66/183.94 (step @p182 :rule skolemize :premises (@p181)) % 183.66/183.94 (step @p183 :rule bool-double-not-elim :args (@t204)) % 183.66/183.94 (step @p184 :rule refl :args (@t215)) % 183.66/183.94 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t215 (not @t212)))) % 183.66/183.94 (step @p186 :rule cnf_or_neg :args (@t215 1)) % 183.66/183.94 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 183.66/183.94 (step @p188 :rule reordering :premises (@p187) :args ((or @t204 @t215))) % 183.66/183.94 (step @p189 :rule chain_m_resolution :premises (@p188 @p182) :args (@t204 @t216 @t217)) % 183.66/183.94 (step @p190 :rule bool-double-not-elim :args (@t213)) % 183.66/183.94 (step @p191 :rule nary_cong :premises (@p184 @p190) :args ((or @t215 (not @t214)))) % 183.66/183.94 (step @p192 :rule cnf_or_neg :args (@t215 0)) % 183.66/183.94 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 183.66/183.94 (step @p194 :rule reordering :premises (@p193) :args ((or @t213 @t215))) % 183.66/183.94 (step @p195 :rule chain_m_resolution :premises (@p194 @p182) :args (@t213 @t216 @t217)) % 183.66/183.94 (step @p196 :rule cnf_or_pos :args (@t220)) % 183.66/183.94 (step @p197 :rule reordering :premises (@p196) :args ((or @t214 @t212 @t219 (not @t220)))) % 183.66/183.94 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p189 @p139) :args (@t219 @t221 (@list @t213 @t204 @t220))) % 183.66/183.94 (step @p199 :rule instantiate :premises (@p7) :args ((@list @t142 @t141))) % 183.66/183.94 (step @p200 :rule instantiate :premises (@p67) :args ((@list @t141 @t142))) % 183.66/183.94 (step @p201 :rule bool-impl-elim :args (@t70 @t99)) % 183.66/183.94 (step @p202 :rule cong :premises (@p201) :args (@t100)) % 183.66/183.94 (step @p203 :rule eq_resolve :premises (@p52 @p202)) % 183.66/183.94 (step @p204 :rule instantiate :premises (@p203) :args (@t222)) % 183.66/183.94 (step @p205 :rule bool-impl-elim :args (@t88 @t29)) % 183.66/183.94 (step @p206 :rule cong :premises (@p205) :args (@t89)) % 183.66/183.94 (step @p207 :rule eq_resolve :premises (@p28 @p206)) % 183.66/183.94 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t149 @t223 @t148))) % 183.66/183.94 (step @p209 :rule bool-impl-elim :args (@t81 @t80)) % 183.66/183.94 (step @p210 :rule cong :premises (@p209) :args (@t82)) % 183.66/183.94 (step @p211 :rule eq_resolve :premises (@p23 @p210)) % 183.66/183.94 (step @p212 :rule instantiate :premises (@p211) :args (@t224)) % 183.66/183.94 (step @p213 :rule bool-double-not-elim :args (@t210)) % 183.66/183.94 (step @p214 :rule nary_cong :premises (@p184 @p213) :args ((or @t215 (not @t211)))) % 183.66/183.94 (step @p215 :rule cnf_or_neg :args (@t215 2)) % 183.66/183.94 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 183.66/183.94 (step @p217 :rule reordering :premises (@p216) :args ((or @t210 @t215))) % 183.66/183.94 (step @p218 :rule chain_m_resolution :premises (@p217 @p182) :args (@t210 @t216 @t217)) % 183.66/183.94 (step @p219 :rule cnf_or_pos :args (@t227)) % 183.66/183.94 (step @p220 :rule reordering :premises (@p219) :args ((or @t211 @t226 (not @t227)))) % 183.66/183.94 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p212) :args (@t226 @t228 (@list @t210 @t227))) % 183.66/183.94 (step @p222 :rule cnf_and_pos :args (@t226 2)) % 183.66/183.94 (step @p223 :rule 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183.66/183.94 (step @p670 :rule implies_elim :premises (@p664)) % 183.66/183.94 (step @p671 :rule cnf_and_neg :args (@t384)) % 183.66/183.94 (step @p672 :rule resolution :premises (@p671 @p670) :args (true @t384)) % 183.66/183.94 (step @p673 :rule instantiate :premises (@p203) :args (@t385)) % 183.66/183.94 (step @p674 :rule cnf_or_pos :args (@t387)) % 183.66/183.94 (step @p675 :rule reordering :premises (@p674) :args ((or @t234 @t386 (not @t387)))) % 183.66/183.94 (step @p676 :rule chain_m_resolution :premises (@p675 @p227 @p673) :args (@t386 @t228 (@list @t230 @t387))) % 183.66/183.94 (step @p677 :rule refl :args (@t389)) % 183.66/183.94 (step @p678 :rule bool-double-not-elim :args (@t380)) % 183.66/183.94 (step @p679 :rule refl :args (@t390)) % 183.66/183.94 (step @p680 :rule nary_cong :premises (@p679 @p678 @p677) :args ((or @t390 (not @t391) @t389))) % 183.66/183.94 (assume-push @p939 @t386) % 183.66/183.94 (assume-push @p940 @t391) % 183.66/183.94 (assume-push @p941 @t391) % 183.66/183.94 (assume-push @p942 @t386) % 183.66/183.94 (step @p685 :rule false_intro :premises (@p940)) % 183.66/183.94 (step @p686 :rule symm :premises (@p676)) % 183.66/183.94 (step @p652 :rule refl :args (@t378)) % 183.66/183.94 (step @p687 :rule cong :premises (@p652 @p686) :args (@t388)) % 183.66/183.94 (step @p688 :rule trans :premises (@p687 @p685)) % 183.66/183.94 (step @p689 :rule false_elim :premises (@p688)) % 183.66/183.94 (step-pop @p943 :rule scope :premises (@p689)) % 183.66/183.94 (step-pop @p944 :rule scope :premises (@p943)) % 183.66/183.94 (step @p690 :rule process_scope :premises (@p944) :args (@t389)) % 183.66/183.94 (step @p693 :rule and_intro :premises (@p940 @p676)) % 183.66/183.94 (step @p694 :rule modus_ponens :premises (@p693 @p690)) % 183.66/183.94 (step-pop @p945 :rule scope :premises (@p694)) % 183.66/183.94 (step-pop @p946 :rule scope :premises (@p945)) % 183.66/183.94 (step @p695 :rule process_scope :premises (@p946) :args (@t389)) % 183.66/183.94 (step @p698 :rule implies_elim :premises (@p695)) % 183.66/183.94 (step @p699 :rule cnf_and_neg :args (@t392)) % 183.66/183.94 (step @p700 :rule resolution :premises (@p699 @p698) :args (true @t392)) % 183.66/183.94 (step @p701 :rule eq_resolve :premises (@p700 @p680)) % 183.66/183.94 (step @p702 :rule instantiate :premises (@p349) :args (@t393)) % 183.66/183.94 (step @p703 :rule cnf_or_pos :args (@t396)) % 183.66/183.94 (step @p704 :rule reordering :premises (@p703) :args ((or @t395 @t394 (not @t396)))) % 183.66/183.94 (step @p705 :rule cnf_and_pos :args (@t397 1)) % 183.66/183.94 (step @p706 :rule reordering :premises (@p705) :args ((or @t388 (not @t397)))) % 183.66/183.94 (step @p707 :rule bool-eq-true :args (@t398)) % 183.66/183.94 (step @p708 :rule eq-symm :args (true @t398)) % 183.66/183.94 (step @p709 :rule trans :premises (@p708 @p707)) % 183.66/183.94 (step @p710 :rule refl :args (@t398)) % 183.66/183.94 (step @p711 :rule eq-refl :args (@t260)) % 183.66/183.94 (step @p712 :rule cong :premises (@p711 @p710) :args (@t399)) % 183.66/183.94 (step @p713 :rule trans :premises (@p712 @p709)) % 183.66/183.94 (step @p714 :rule cong :premises (@p362 @p713) :args ((=> @t58 @t399))) % 183.66/183.94 (assume-push @p947 @t58) % 183.66/183.94 (step @p716 :rule instantiate :premises (@p14) :args ((@list @t249 @t259 @t260))) % 183.66/183.94 (step-pop @p948 :rule scope :premises (@p716)) % 183.66/183.94 (step @p717 :rule process_scope :premises (@p948) :args (@t399)) % 183.66/183.94 (step @p719 :rule eq_resolve :premises (@p717 @p714)) % 183.66/183.94 (step @p720 :rule implies_elim :premises (@p719)) % 183.66/183.94 (step @p721 :rule chain_m_resolution :premises (@p720 @p14) :args (@t398 @t229 @t282)) % 183.66/183.94 (step @p722 :rule instantiate :premises (@p721) :args (@t393)) % 183.66/183.94 (step @p723 :rule cnf_equiv_pos1 :args (@t400)) % 183.66/183.94 (step @p724 :rule reordering :premises (@p723) :args ((or @t397 (not @t394) (not @t400)))) % 183.66/183.94 (step @p725 :rule chain_m_resolution :premises (@p724 @p722 @p706 @p704 @p702 @p701 @p676 @p672 @p230 @p200 @p199 @p198 @p640 @p639) :args (@t382 (@list false true false false true false false false false false false true false) (@list @t400 @t397 @t394 @t396 @t388 @t386 @t383 @t233 @t241 @t237 @t219 @t380 @t379))) % 183.66/183.94 (step @p726 :rule refl :args (@t401)) % 183.66/183.94 (step @p727 :rule bool-double-not-elim :args (@t377)) % 183.66/183.94 (step @p728 :rule nary_cong :premises (@p727 @p726) :args ((or (not @t402) @t401))) % 183.66/183.94 (assume-push @p949 @t402) % 183.66/183.94 (step @p730 :rule skolemize :premises (@p949)) % 183.66/183.94 (step-pop @p950 :rule scope :premises (@p730)) % 183.66/183.94 (step @p731 :rule process_scope :premises (@p950) :args (@t401)) % 183.66/183.94 (step @p733 :rule implies_elim :premises (@p731)) % 183.66/183.94 (step @p734 :rule eq_resolve :premises (@p733 @p728)) % 183.66/183.94 (step @p735 :rule chain_m_resolution :premises (@p734 @p725) :args (@t377 @t229 (@list @t382))) % 183.66/183.94 (step @p736 :rule cnf_equiv_pos2 :args (@t404)) % 183.66/183.94 (step @p737 :rule reordering :premises (@p736) :args ((or @t403 @t402 (not @t404)))) % 183.66/183.94 (step @p738 :rule chain_m_resolution :premises (@p737 @p735 @p633) :args (@t403 @t228 (@list @t377 @t404))) % 183.66/183.94 (step @p739 :rule instantiate :premises (@p419) :args (@t385)) % 183.66/183.94 (step @p740 :rule cnf_or_pos :args (@t406)) % 183.66/183.94 (step @p741 :rule reordering :premises (@p740) :args ((or @t234 @t405 (not @t406)))) % 183.66/183.94 (step @p742 :rule chain_m_resolution :premises (@p741 @p227 @p739) :args (@t405 @t228 (@list @t230 @t406))) % 183.66/183.94 (step @p743 :rule cnf_or_pos :args (@t411)) % 183.66/183.94 (step @p744 :rule reordering :premises (@p743) :args ((or @t410 @t299 @t409 @t408 (not @t411)))) % 183.66/183.94 (step @p745 :rule chain_m_resolution :premises (@p744 @p742 @p423 @p738 @p632) :args (@t408 @t301 (@list @t405 @t292 @t403 @t411))) % 183.66/183.94 (step @p746 :rule instantiate :premises (@p453) :args (@t358)) % 183.66/183.94 (step @p747 :rule cnf_or_pos :args (@t414)) % 183.66/183.94 (step @p748 :rule reordering :premises (@p747) :args ((or @t214 @t211 @t413 (not @t414)))) % 183.66/183.94 (step @p749 :rule chain_m_resolution :premises (@p748 @p195 @p218 @p746) :args (@t413 @t221 (@list @t213 @t210 @t414))) % 183.66/183.94 (step @p750 :rule eq-symm :args (@t412 @t207)) % 183.66/183.94 (step @p751 :rule refl :args (@t214)) % 183.66/183.94 (step @p752 :rule nary_cong :premises (@p751 @p489 @p750) :args (@t415)) % 183.66/183.94 (step @p753 :rule cong :premises (@p492 @p752) :args ((=> @t332 @t415))) % 183.66/183.94 (assume-push @p951 @t332) % 183.66/183.94 (step @p755 :rule instantiate :premises (@p487) :args (@t358)) % 183.66/183.94 (step-pop @p952 :rule scope :premises (@p755)) % 183.66/183.94 (step @p756 :rule process_scope :premises (@p952) :args (@t415)) % 183.66/183.94 (step @p758 :rule eq_resolve :premises (@p756 @p753)) % 183.66/183.94 (step @p759 :rule implies_elim :premises (@p758)) % 183.66/183.94 (step @p760 :rule chain_m_resolution :premises (@p759 @p487) :args (@t417 @t229 @t335)) % 183.66/183.94 (step @p761 :rule cnf_or_pos :args (@t417)) % 183.66/183.94 (step @p762 :rule reordering :premises (@p761) :args ((or @t214 @t211 @t416 (not @t417)))) % 183.66/183.94 (step @p763 :rule chain_m_resolution :premises (@p762 @p195 @p218 @p760) :args (@t416 @t221 (@list @t213 @t210 @t417))) % 183.66/183.94 (assume-push @p953 @t416) % 183.66/183.94 (assume-push @p954 @t333) % 183.66/183.94 (assume-push @p955 @t413) % 183.66/183.94 (assume-push @p956 @t320) % 183.66/183.94 (assume-push @p957 @t408) % 183.66/183.94 (assume-push @p958 @t408) % 183.66/183.94 (assume-push @p959 @t413) % 183.66/183.94 (assume-push @p960 @t416) % 183.66/183.94 (assume-push @p961 @t320) % 183.66/183.94 (assume-push @p962 @t333) % 183.66/183.94 (step @p774 :rule true_intro :premises (@p957)) % 183.66/183.94 (step @p529 :rule trans :premises (@p503 @p469)) % 183.66/183.94 (step @p775 :rule trans :premises (@p763 @p749)) % 183.66/183.94 (step @p776 :rule cong :premises (@p775 @p529) :args (@t371)) % 183.66/183.94 (step @p777 :rule trans :premises (@p776 @p774)) % 183.66/183.94 (step @p778 :rule true_elim :premises (@p777)) % 183.66/183.94 (step-pop @p963 :rule scope :premises (@p778)) % 183.66/183.94 (step-pop @p964 :rule scope :premises (@p963)) % 183.66/183.94 (step-pop @p965 :rule scope :premises (@p964)) % 183.66/183.94 (step-pop @p966 :rule scope :premises (@p965)) % 183.66/183.94 (step-pop @p967 :rule scope :premises (@p966)) % 183.66/183.94 (step @p779 :rule process_scope :premises (@p967) :args (@t371)) % 183.66/183.94 (step @p785 :rule and_intro :premises (@p957 @p749 @p763 @p469 @p503)) % 183.66/183.94 (step @p786 :rule modus_ponens :premises (@p785 @p779)) % 183.66/183.94 (step-pop @p968 :rule scope :premises (@p786)) % 183.66/183.94 (step-pop @p969 :rule scope :premises (@p968)) % 183.66/183.94 (step-pop @p970 :rule scope :premises (@p969)) % 183.66/183.94 (step-pop @p971 :rule scope :premises (@p970)) % 183.66/183.94 (step-pop @p972 :rule scope :premises (@p971)) % 183.66/183.94 (step @p787 :rule process_scope :premises (@p972) :args (@t371)) % 183.66/183.94 (step @p793 :rule implies_elim :premises (@p787)) % 183.66/183.94 (step @p794 :rule cnf_and_neg :args (@t418)) % 183.66/183.94 (step @p795 :rule resolution :premises (@p794 @p793) :args (true @t418)) % 183.66/183.94 (step @p796 :rule reordering :premises (@p795) :args ((or (not @t416) (not @t333) (not @t413) (not @t320) @t371 (not @t408)))) % 183.66/183.94 (step @p797 :rule chain_m_resolution :premises (@p796 @p763 @p503 @p749 @p469 @p745) :args (@t371 @t342 (@list @t416 @t333 @t413 @t320 @t408))) % 183.66/183.94 (step @p798 :rule cnf_equiv_pos2 :args (@t375)) % 183.66/183.94 (step @p799 :rule reordering :premises (@p798) :args ((or @t372 (not @t371) (not @t375)))) % 183.66/183.94 (step @p800 :rule chain_m_resolution :premises (@p799 @p797 @p631) :args (@t372 @t228 (@list @t371 @t375))) % 183.66/183.94 (step @p801 :rule aci_norm :args ((= (or @t419 @t112) (or @t419 @t95 @t23)))) % 183.66/183.94 (step @p802 :rule bool-impl-elim :args (@t111 @t112)) % 183.66/183.95 (step @p803 :rule trans :premises (@p802 @p801)) % 183.66/183.95 (step @p804 :rule cong :premises (@p803) :args (@t113)) % 183.66/183.95 (step @p805 :rule eq_resolve :premises (@p64 @p804)) % 183.66/183.95 (step @p806 :rule instantiate :premises (@p805) :args ((@list @t347 @t205))) % 183.66/183.95 (step @p807 :rule aci_norm :args ((= (or (or @t130 @t129) @t116) (or @t130 @t129 @t116)))) % 183.66/183.95 (step @p808 :rule refl :args (@t116)) % 183.66/183.95 (step @p809 :rule bool-and-de-morgan :args (@t23 @t117 true)) % 183.66/183.95 (step @p810 :rule nary_cong :premises (@p809 @p808) :args ((or (not @t118) @t116))) % 183.66/183.95 (step @p811 :rule trans :premises (@p810 @p807)) % 183.66/183.95 (step @p812 :rule bool-impl-elim :args (@t118 @t116)) % 183.66/183.95 (step @p813 :rule trans :premises (@p812 @p811)) % 183.66/183.95 (step @p814 :rule cong :premises (@p813) :args (@t119)) % 183.66/183.95 (step @p815 :rule eq_resolve :premises (@p68 @p814)) % 183.66/183.95 (step @p816 :rule instantiate :premises (@p815) :args (@t370)) % 183.66/183.95 (step @p817 :rule cnf_or_pos :args (@t423)) % 183.66/183.95 (step @p818 :rule reordering :premises (@p817) :args ((or @t420 @t422 @t421 (not @t423)))) % 183.66/183.95 (step @p819 :rule instantiate :premises (@p815) :args (@t424)) % 183.66/183.95 (step @p820 :rule cnf_or_pos :args (@t427)) % 183.66/183.95 (step @p821 :rule reordering :premises (@p820) :args ((or @t420 @t426 @t425 (not @t427)))) % 183.66/183.95 (step @p822 :rule cnf_or_pos :args (@t368)) % 183.66/183.95 (step @p823 :rule reordering :premises (@p822) :args ((or @t367 @t366 (not @t368)))) % 183.66/183.95 (step @p824 :rule chain_m_resolution :premises (@p823 @p620 @p821 @p819 @p552 @p818 @p816 @p800) :args (@t420 (@list false true false false true false false) (@list @t368 @t366 @t427 @t340 @t367 @t423 @t372))) % 183.66/183.95 (step @p825 :rule cnf_or_neg :args (@t354 1)) % 183.66/183.95 (step @p826 :rule chain_m_resolution :premises (@p825 @p576) :args ((not @t352) @t216 @t355)) % 183.66/183.95 (step @p827 :rule cnf_or_pos :args (@t430)) % 183.66/183.95 (step @p828 :rule reordering :premises (@p827) :args ((or @t352 @t428 @t429 (not @t430)))) % 183.66/183.95 (step @p829 :rule chain_m_resolution :premises (@p828 @p826 @p824 @p806) :args (@t428 (@list true false false) (@list @t352 @t420 @t430))) % 183.66/183.95 (step @p830 :rule cnf_or_pos :args (@t432)) % 183.66/183.95 (step @p831 :rule reordering :premises (@p830) :args ((or @t431 @t422 @t421 (not @t432)))) % 183.66/183.95 (step @p832 :rule chain_m_resolution :premises (@p831 @p829 @p800 @p621) :args (@t422 @t221 (@list @t428 @t372 @t432))) % 183.66/183.95 (step @p833 :rule chain_m_resolution :premises (@p823 @p832 @p620) :args (@t366 @t350 (@list @t367 @t368))) % 183.66/183.95 (step @p834 :rule cnf_or_pos :args (@t433)) % 183.66/183.95 (step @p835 :rule reordering :premises (@p834) :args ((or @t431 @t426 @t425 @t434))) % 183.66/183.95 (step @p836 :rule chain_m_resolution :premises (@p835 @p829 @p833 @p552) :args (@t434 @t221 (@list @t428 @t366 @t340))) % 183.66/183.95 (assume-push @p973 @t435) % 183.66/183.95 (step @p838 :rule instantiate :premises (@p82) :args (@t424)) % 183.66/183.95 (step-pop @p974 :rule scope :premises (@p838)) % 183.66/183.95 (step @p839 :rule process_scope :premises (@p974) :args (@t433)) % 183.66/183.95 (step @p841 :rule implies_elim :premises (@p839)) % 183.66/183.95 (step @p842 false :rule chain_m_resolution :premises (@p841 @p836 @p82) :args (false @t350 (@list @t433 @t435))) % 183.66/183.95 ) % 183.66/183.95 % SZS output end Proof % 183.66/183.95 % cvc5 exiting %------------------------------------------------------------------------------