%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT359+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:30:28 AM UTC 2026 % Result : Theorem 20.62s 20.86s % Output : Proof 20.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT359+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:48:31 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 20.62/20.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 20.62/20.86 --- Run --no-e-matching --full-saturate-quant at 6... % 20.62/20.86 % SZS status Theorem % 20.62/20.86 % SZS output start Proof % 20.62/20.86 ( % 20.62/20.86 (declare-sort $$unsorted 0) % 20.62/20.86 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.k1_xboole_0 $$unsorted) % 20.62/20.86 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k1_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.l2_altcat_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.l1_altcat_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.u1_altcat_1 (-> $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 20.62/20.86 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 20.62/20.86 (define @t1 () (@var "F" $$unsorted)) % 20.62/20.86 (define @t2 () (@var "E" $$unsorted)) % 20.62/20.86 (define @t3 () (@var "A" $$unsorted)) % 20.62/20.86 (define @t4 () (tptp.k1_altcat_1 @t3 @t2 @t1)) % 20.62/20.86 (define @t5 () (@var "D" $$unsorted)) % 20.62/20.86 (define @t6 () (tptp.m1_subset_1 @t5 @t4)) % 20.62/20.86 (define @t7 () (tptp.r2_hidden @t5 @t4)) % 20.62/20.86 (define @t8 () (@var "C" $$unsorted)) % 20.62/20.86 (define @t9 () (= @t1 @t8)) % 20.62/20.86 (define @t10 () (@var "B" $$unsorted)) % 20.62/20.86 (define @t11 () (= @t2 @t10)) % 20.62/20.86 (define @t12 () (and @t11 @t9 @t7 @t6)) % 20.62/20.86 (define @t13 () (not @t12)) % 20.62/20.86 (define @t14 () (tptp.u1_struct_0 @t3)) % 20.62/20.86 (define @t15 () (tptp.m1_subset_1 @t1 @t14)) % 20.62/20.86 (define @t16 () (=> @t15 @t13)) % 20.62/20.86 (define @t17 () (@list @t1)) % 20.62/20.86 (define @t18 () (forall @t17 @t16)) % 20.62/20.86 (define @t19 () (tptp.m1_subset_1 @t2 @t14)) % 20.62/20.86 (define @t20 () (=> @t19 @t18)) % 20.62/20.86 (define @t21 () (@list @t2)) % 20.62/20.86 (define @t22 () (forall @t21 @t20)) % 20.62/20.86 (define @t23 () (tptp.u1_altcat_1 @t3)) % 20.62/20.86 (define @t24 () (tptp.k1_binop_1 @t23 @t10 @t8)) % 20.62/20.86 (define @t25 () (tptp.r2_hidden @t5 @t24)) % 20.62/20.86 (define @t26 () (and @t25 @t22)) % 20.62/20.86 (define @t27 () (not @t26)) % 20.62/20.86 (define @t28 () (@list @t10 @t8 @t5)) % 20.62/20.86 (define @t29 () (forall @t28 @t27)) % 20.62/20.86 (define @t30 () (tptp.l2_altcat_1 @t3)) % 20.62/20.86 (define @t31 () (tptp.v3_struct_0 @t3)) % 20.62/20.86 (define @t32 () (not @t31)) % 20.62/20.86 (define @t33 () (and @t32 @t30)) % 20.62/20.86 (define @t34 () (=> @t33 @t29)) % 20.62/20.86 (define @t35 () (@list @t3)) % 20.62/20.86 (define @t36 () (forall @t35 @t34)) % 20.62/20.86 (define @t37 () (not @t36)) % 20.62/20.86 (define @t38 () (tptp.r2_hidden @t3 @t10)) % 20.62/20.86 (define @t39 () (@list @t3 @t10)) % 20.62/20.86 (define @t40 () (tptp.v1_xcmplx_0 @t10)) % 20.62/20.86 (define @t41 () (tptp.m1_subset_1 @t10 @t3)) % 20.62/20.86 (define @t42 () (@list @t10)) % 20.62/20.86 (define @t43 () (tptp.v1_membered @t3)) % 20.62/20.86 (define @t44 () (tptp.v1_xreal_0 @t10)) % 20.62/20.86 (define @t45 () (tptp.v2_membered @t3)) % 20.62/20.86 (define @t46 () (tptp.v1_rat_1 @t10)) % 20.62/20.86 (define @t47 () (tptp.v3_membered @t3)) % 20.62/20.86 (define @t48 () (tptp.v1_int_1 @t10)) % 20.62/20.86 (define @t49 () (tptp.v4_membered @t3)) % 20.62/20.86 (define @t50 () (tptp.v4_ordinal2 @t10)) % 20.62/20.86 (define @t51 () (tptp.v5_membered @t3)) % 20.62/20.86 (define @t52 () (tptp.v1_xboole_0 @t3)) % 20.62/20.86 (define @t53 () (tptp.v1_finset_1 @t3)) % 20.62/20.86 (define @t54 () (tptp.v1_funct_1 @t3)) % 20.62/20.86 (define @t55 () (tptp.v1_xboole_0 @t10)) % 20.62/20.86 (define @t56 () (not @t55)) % 20.62/20.86 (define @t57 () (not @t52)) % 20.62/20.86 (define @t58 () (and @t57 (tptp.v1_setfam_1 @t3))) % 20.62/20.86 (define @t59 () (tptp.v1_relat_1 @t3)) % 20.62/20.86 (define @t60 () (and @t59 @t54 (tptp.v2_funct_1 @t3))) % 20.62/20.86 (define @t61 () (and @t59 @t52 @t54)) % 20.62/20.86 (define @t62 () (tptp.k2_tarski @t3 @t10)) % 20.62/20.86 (define @t63 () (tptp.k4_tarski @t10 @t8)) % 20.62/20.86 (define @t64 () (@list @t10 @t8)) % 20.62/20.86 (define @t65 () (forall @t64 (= (tptp.k1_binop_1 @t3 @t10 @t8) (tptp.k1_funct_1 @t3 @t63)))) % 20.62/20.86 (define @t66 () (and @t59 @t54)) % 20.62/20.86 (define @t67 () (forall @t35 (=> @t66 @t65))) % 20.62/20.86 (define @t68 () (tptp.k1_altcat_1 @t3 @t10 @t8)) % 20.62/20.86 (define @t69 () (tptp.m1_subset_1 @t8 @t14)) % 20.62/20.86 (define @t70 () (=> @t69 (= @t68 @t24))) % 20.62/20.86 (define @t71 () (@list @t8)) % 20.62/20.86 (define @t72 () (forall @t71 @t70)) % 20.62/20.86 (define @t73 () (tptp.m1_subset_1 @t10 @t14)) % 20.62/20.86 (define @t74 () (=> @t73 @t72)) % 20.62/20.86 (define @t75 () (forall @t42 @t74)) % 20.62/20.86 (define @t76 () (tptp.l1_altcat_1 @t3)) % 20.62/20.86 (define @t77 () (=> @t76 @t75)) % 20.62/20.86 (define @t78 () (forall @t35 @t77)) % 20.62/20.86 (define @t79 () (tptp.k1_relat_1 @t10)) % 20.62/20.86 (define @t80 () (tptp.m1_pboole @t10 @t3)) % 20.62/20.86 (define @t81 () (= @t80 (= @t79 @t3))) % 20.62/20.86 (define @t82 () (tptp.v1_funct_1 @t10)) % 20.62/20.86 (define @t83 () (tptp.v1_relat_1 @t10)) % 20.62/20.86 (define @t84 () (and @t83 @t82)) % 20.62/20.86 (define @t85 () (=> @t84 @t81)) % 20.62/20.86 (define @t86 () (forall @t39 @t85)) % 20.62/20.86 (define @t87 () (= @t8 (tptp.k1_funct_1 @t3 @t10))) % 20.62/20.86 (define @t88 () (= @t87 (= @t8 tptp.k1_xboole_0))) % 20.62/20.86 (define @t89 () (tptp.k1_relat_1 @t3)) % 20.62/20.86 (define @t90 () (tptp.r2_hidden @t10 @t89)) % 20.62/20.86 (define @t91 () (not @t90)) % 20.62/20.86 (define @t92 () (= @t87 (tptp.r2_hidden @t63 @t3))) % 20.62/20.86 (define @t93 () (and (=> @t90 @t92) (=> @t91 @t88))) % 20.62/20.86 (define @t94 () (forall @t64 @t93)) % 20.62/20.86 (define @t95 () (=> @t66 @t94)) % 20.62/20.86 (define @t96 () (forall @t35 @t95)) % 20.62/20.86 (define @t97 () (tptp.k1_tarski @t3)) % 20.62/20.86 (define @t98 () (tptp.k4_tarski @t3 @t10)) % 20.62/20.86 (define @t99 () (tptp.l1_struct_0 @t3)) % 20.62/20.86 (define @t100 () (forall @t35 (=> @t30 @t76))) % 20.62/20.86 (define @t101 () (forall @t39 (=> @t80 @t84))) % 20.62/20.86 (define @t102 () (tptp.m1_pboole @t23 (tptp.k2_zfmisc_1 @t14 @t14))) % 20.62/20.86 (define @t103 () (forall @t35 (=> @t76 @t102))) % 20.62/20.86 (define @t104 () (tptp.v4_membered @t97)) % 20.62/20.86 (define @t105 () (tptp.v3_membered @t97)) % 20.62/20.86 (define @t106 () (tptp.v2_membered @t97)) % 20.62/20.86 (define @t107 () (tptp.v1_membered @t97)) % 20.62/20.86 (define @t108 () (tptp.v1_int_1 @t3)) % 20.62/20.86 (define @t109 () (tptp.v4_ordinal2 @t3)) % 20.62/20.86 (define @t110 () (tptp.v1_membered @t62)) % 20.62/20.86 (define @t111 () (tptp.v1_xcmplx_0 @t3)) % 20.62/20.86 (define @t112 () (tptp.v2_membered @t62)) % 20.62/20.86 (define @t113 () (tptp.v1_xreal_0 @t3)) % 20.62/20.86 (define @t114 () (tptp.v3_membered @t62)) % 20.62/20.86 (define @t115 () (tptp.v1_rat_1 @t3)) % 20.62/20.86 (define @t116 () (tptp.v4_membered @t62)) % 20.62/20.86 (define @t117 () (not (tptp.v1_xboole_0 @t97))) % 20.62/20.86 (define @t118 () (not (tptp.v1_xboole_0 @t62))) % 20.62/20.86 (define @t119 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 20.62/20.86 (define @t120 () (tptp.m1_subset_1 @t3 @t10)) % 20.62/20.86 (define @t121 () (forall @t39 (=> @t38 @t120))) % 20.62/20.86 (define @t122 () (forall @t39 (not (and @t38 @t55)))) % 20.62/20.86 (define @t123 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 20.62/20.86 (define @t124 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 20.62/20.86 (define @t125 () (tptp.k1_altcat_1 @t3 @t124 @t123)) % 20.62/20.86 (define @t126 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 20.62/20.86 (define @t127 () (and (tptp.m1_subset_1 @t123 @t14) (tptp.m1_subset_1 @t124 @t14) (tptp.r2_hidden @t126 @t125) (tptp.m1_subset_1 @t126 @t125))) % 20.62/20.86 (define @t128 () (not (tptp.r2_hidden @t126 (tptp.k1_binop_1 @t23 @t124 @t123)))) % 20.62/20.86 (define @t129 () (not @t30)) % 20.62/20.86 (define @t130 () (or @t31 @t129 @t128 @t127)) % 20.62/20.86 (define @t131 () (or @t128 @t127)) % 20.62/20.86 (define @t132 () (or @t31 @t129 @t131)) % 20.62/20.86 (define @t133 () (@list @t3 @t124 @t123 @t126)) % 20.62/20.86 (define @t134 () (forall @t133 @t132)) % 20.62/20.86 (define @t135 () (@list @t124 @t123 @t126)) % 20.62/20.86 (define @t136 () (forall @t135 @t132)) % 20.62/20.86 (define @t137 () (forall @t135 @t131)) % 20.62/20.86 (define @t138 () (or @t31 @t129 @t137)) % 20.62/20.86 (define @t139 () (tptp.m1_subset_1 @t5 @t68)) % 20.62/20.86 (define @t140 () (tptp.r2_hidden @t5 @t68)) % 20.62/20.86 (define @t141 () (not @t25)) % 20.62/20.86 (define @t142 () (forall @t28 (or @t141 (and @t69 @t73 @t140 @t139)))) % 20.62/20.86 (define @t143 () (or @t31 @t129 @t142)) % 20.62/20.86 (define @t144 () (not @t139)) % 20.62/20.86 (define @t145 () (not @t144)) % 20.62/20.86 (define @t146 () (not @t140)) % 20.62/20.86 (define @t147 () (not @t146)) % 20.62/20.86 (define @t148 () (not @t73)) % 20.62/20.86 (define @t149 () (not @t148)) % 20.62/20.86 (define @t150 () (not @t69)) % 20.62/20.86 (define @t151 () (not @t150)) % 20.62/20.86 (define @t152 () (and @t151 @t149 @t147 @t145)) % 20.62/20.86 (define @t153 () (or @t148 @t146 @t144)) % 20.62/20.86 (define @t154 () (or @t150 @t148 @t146 @t144)) % 20.62/20.86 (define @t155 () (not (= @t10 @t10))) % 20.62/20.86 (define @t156 () (or @t148 @t155 @t146 @t144)) % 20.62/20.86 (define @t157 () (tptp.k1_altcat_1 @t3 @t2 @t8)) % 20.62/20.86 (define @t158 () (not (tptp.m1_subset_1 @t5 @t157))) % 20.62/20.86 (define @t159 () (not (tptp.r2_hidden @t5 @t157))) % 20.62/20.86 (define @t160 () (= @t10 @t2)) % 20.62/20.86 (define @t161 () (not @t160)) % 20.62/20.86 (define @t162 () (not @t19)) % 20.62/20.86 (define @t163 () (or @t161 @t162 @t161 @t159 @t158)) % 20.62/20.86 (define @t164 () (or @t162 @t161 @t159 @t158)) % 20.62/20.86 (define @t165 () (forall @t21 @t164)) % 20.62/20.86 (define @t166 () (or @t150 @t165)) % 20.62/20.86 (define @t167 () (or @t150 @t164)) % 20.62/20.86 (define @t168 () (or @t162 @t161 @t150 @t159 @t158)) % 20.62/20.86 (define @t169 () (or @t161 @t150 @t159 @t158)) % 20.62/20.86 (define @t170 () (or @t150 @t159 @t158)) % 20.62/20.86 (define @t171 () (not (= @t8 @t8))) % 20.62/20.86 (define @t172 () (or @t150 @t171 @t159 @t158)) % 20.62/20.86 (define @t173 () (not @t6)) % 20.62/20.86 (define @t174 () (not @t7)) % 20.62/20.86 (define @t175 () (= @t8 @t1)) % 20.62/20.86 (define @t176 () (not @t175)) % 20.62/20.86 (define @t177 () (not @t15)) % 20.62/20.86 (define @t178 () (or @t176 @t177 @t176 @t174 @t173)) % 20.62/20.86 (define @t179 () (or @t177 @t176 @t174 @t173)) % 20.62/20.86 (define @t180 () (forall @t17 @t179)) % 20.62/20.86 (define @t181 () (or @t161 @t180)) % 20.62/20.86 (define @t182 () (or @t161 @t179)) % 20.62/20.86 (define @t183 () (or @t177 @t161 @t176 @t174 @t173)) % 20.62/20.86 (define @t184 () (or @t161 @t176 @t174 @t173)) % 20.62/20.86 (define @t185 () (not (and @t160 @t175 @t7 @t6))) % 20.62/20.86 (define @t186 () (forall @t133 @t130)) % 20.62/20.86 (define @t187 () (@quantifiers_skolemize @t186 2)) % 20.62/20.86 (define @t188 () (@quantifiers_skolemize @t186 1)) % 20.62/20.86 (define @t189 () (@quantifiers_skolemize @t186 0)) % 20.62/20.86 (define @t190 () (tptp.k1_altcat_1 @t189 @t188 @t187)) % 20.62/20.86 (define @t191 () (@quantifiers_skolemize @t186 3)) % 20.62/20.86 (define @t192 () (tptp.m1_subset_1 @t191 @t190)) % 20.62/20.86 (define @t193 () (tptp.r2_hidden @t191 @t190)) % 20.62/20.86 (define @t194 () (tptp.u1_struct_0 @t189)) % 20.62/20.86 (define @t195 () (tptp.m1_subset_1 @t188 @t194)) % 20.62/20.86 (define @t196 () (tptp.m1_subset_1 @t187 @t194)) % 20.62/20.86 (define @t197 () (and @t196 @t195 @t193 @t192)) % 20.62/20.86 (define @t198 () (tptp.u1_altcat_1 @t189)) % 20.62/20.86 (define @t199 () (tptp.k1_binop_1 @t198 @t188 @t187)) % 20.62/20.86 (define @t200 () (tptp.r2_hidden @t191 @t199)) % 20.62/20.86 (define @t201 () (not @t200)) % 20.62/20.86 (define @t202 () (tptp.l2_altcat_1 @t189)) % 20.62/20.86 (define @t203 () (not @t202)) % 20.62/20.86 (define @t204 () (or (tptp.v3_struct_0 @t189) @t203 @t201 @t197)) % 20.62/20.86 (define @t205 () (@list true)) % 20.62/20.86 (define @t206 () (@list @t204)) % 20.62/20.86 (define @t207 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 20.62/20.86 (define @t208 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 20.62/20.86 (define @t209 () (or (tptp.r2_hidden @t208 @t89) (= (= @t207 (tptp.k1_funct_1 @t3 @t208)) (= tptp.k1_xboole_0 @t207)))) % 20.62/20.86 (define @t210 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 20.62/20.86 (define @t211 () (@var "BOUND_VARIABLE_8117" $$unsorted)) % 20.62/20.86 (define @t212 () (or (not (tptp.r2_hidden @t211 @t89)) (= (= @t210 (tptp.k1_funct_1 @t3 @t211)) (tptp.r2_hidden (tptp.k4_tarski @t211 @t210) @t3)))) % 20.62/20.86 (define @t213 () (and @t212 @t209)) % 20.62/20.86 (define @t214 () (not @t54)) % 20.62/20.86 (define @t215 () (not @t59)) % 20.62/20.86 (define @t216 () (or @t215 @t214 @t213)) % 20.62/20.86 (define @t217 () (forall (@list @t3 @t211 @t210 @t208 @t207) @t216)) % 20.62/20.86 (define @t218 () (@list @t211 @t210 @t208 @t207)) % 20.62/20.86 (define @t219 () (forall @t218 @t216)) % 20.62/20.86 (define @t220 () (forall (@list @t208 @t207) @t209)) % 20.62/20.86 (define @t221 () (@var "BOUND_VARIABLE_8097" $$unsorted)) % 20.62/20.86 (define @t222 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 20.62/20.86 (define @t223 () (@list @t222 @t221)) % 20.62/20.86 (define @t224 () (forall @t218 @t209)) % 20.62/20.86 (define @t225 () (forall (@list @t211 @t210) @t212)) % 20.62/20.86 (define @t226 () (@var "BOUND_VARIABLE_8083" $$unsorted)) % 20.62/20.86 (define @t227 () (@var "BOUND_VARIABLE_8081" $$unsorted)) % 20.62/20.86 (define @t228 () (@list @t227 @t226)) % 20.62/20.86 (define @t229 () (forall @t218 @t212)) % 20.62/20.86 (define @t230 () (and @t229 @t224)) % 20.62/20.86 (define @t231 () (forall @t218 @t213)) % 20.62/20.86 (define @t232 () (or @t215 @t214 @t231)) % 20.62/20.86 (define @t233 () (= @t221 (tptp.k1_funct_1 @t3 @t222))) % 20.62/20.86 (define @t234 () (tptp.r2_hidden @t222 @t89)) % 20.62/20.86 (define @t235 () (@list @t222 @t221)) % 20.62/20.86 (define @t236 () (forall (@list @t227 @t226) (or (not (tptp.r2_hidden @t227 @t89)) (= (= @t226 (tptp.k1_funct_1 @t3 @t227)) (tptp.r2_hidden (tptp.k4_tarski @t227 @t226) @t3))))) % 20.62/20.86 (define @t237 () (and @t236 (forall @t235 (or @t234 (= @t233 (= tptp.k1_xboole_0 @t221)))))) % 20.62/20.86 (define @t238 () (or @t215 @t214 @t237)) % 20.62/20.86 (define @t239 () (or @t215 @t214)) % 20.62/20.86 (define @t240 () (not @t66)) % 20.62/20.86 (define @t241 () (= @t233 (= @t221 tptp.k1_xboole_0))) % 20.62/20.86 (define @t242 () (or @t234 @t241)) % 20.62/20.86 (define @t243 () (forall @t235 @t242)) % 20.62/20.86 (define @t244 () (or @t90 @t88)) % 20.62/20.86 (define @t245 () (forall @t64 @t244)) % 20.62/20.86 (define @t246 () (@list @t10 @t8)) % 20.62/20.86 (define @t247 () (or @t91 @t92)) % 20.62/20.86 (define @t248 () (forall @t64 @t247)) % 20.62/20.86 (define @t249 () (and @t248 @t245)) % 20.62/20.86 (define @t250 () (tptp.k4_tarski @t188 @t187)) % 20.62/20.86 (define @t251 () (tptp.k1_funct_1 @t198 @t250)) % 20.62/20.86 (define @t252 () (= tptp.k1_xboole_0 @t251)) % 20.62/20.86 (define @t253 () (= @t251 @t251)) % 20.62/20.86 (define @t254 () (tptp.k1_relat_1 @t198)) % 20.62/20.86 (define @t255 () (tptp.r2_hidden @t250 @t254)) % 20.62/20.86 (define @t256 () (or @t255 (= @t253 @t252))) % 20.62/20.86 (define @t257 () (or (not (tptp.r2_hidden tptp.k1_xboole_0 @t254)) (= (= tptp.k1_xboole_0 (tptp.k1_funct_1 @t198 tptp.k1_xboole_0)) (tptp.r2_hidden (tptp.k4_tarski tptp.k1_xboole_0 tptp.k1_xboole_0) @t198)))) % 20.62/20.86 (define @t258 () (and @t257 @t256)) % 20.62/20.86 (define @t259 () (tptp.v1_funct_1 @t198)) % 20.62/20.86 (define @t260 () (not @t259)) % 20.62/20.86 (define @t261 () (tptp.v1_relat_1 @t198)) % 20.62/20.86 (define @t262 () (not @t261)) % 20.62/20.86 (define @t263 () (or @t262 @t260 @t258)) % 20.62/20.86 (define @t264 () (or @t255 @t252)) % 20.62/20.86 (define @t265 () (and @t257 @t264)) % 20.62/20.86 (define @t266 () (or @t262 @t260 @t265)) % 20.62/20.86 (define @t267 () (@list false)) % 20.62/20.86 (define @t268 () (tptp.k2_zfmisc_1 @t194 @t194)) % 20.62/20.86 (define @t269 () (@list @t268 @t198)) % 20.62/20.86 (define @t270 () (@list @t189)) % 20.62/20.86 (define @t271 () (tptp.l1_altcat_1 @t189)) % 20.62/20.86 (define @t272 () (or @t203 @t271)) % 20.62/20.86 (define @t273 () (@list false false)) % 20.62/20.86 (define @t274 () (tptp.m1_pboole @t198 @t268)) % 20.62/20.86 (define @t275 () (not @t271)) % 20.62/20.86 (define @t276 () (or @t275 @t274)) % 20.62/20.86 (define @t277 () (and @t261 @t259)) % 20.62/20.86 (define @t278 () (not @t274)) % 20.62/20.86 (define @t279 () (or @t278 @t277)) % 20.62/20.86 (define @t280 () (not @t277)) % 20.62/20.86 (define @t281 () (@list @t277)) % 20.62/20.86 (define @t282 () (@list false false false)) % 20.62/20.86 (define @t283 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 20.62/20.86 (define @t284 () (@var "BOUND_VARIABLE_8009" $$unsorted)) % 20.62/20.86 (define @t285 () (= (tptp.k1_binop_1 @t3 @t284 @t283) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t284 @t283)))) % 20.62/20.86 (define @t286 () (or @t215 @t214 @t285)) % 20.62/20.86 (define @t287 () (@list @t284 @t283)) % 20.62/20.86 (define @t288 () (forall @t287 @t286)) % 20.62/20.86 (define @t289 () (forall @t287 @t285)) % 20.62/20.86 (define @t290 () (or @t215 @t214 @t289)) % 20.62/20.86 (define @t291 () (or @t215 @t214 @t65)) % 20.62/20.86 (define @t292 () (= @t199 @t251)) % 20.62/20.86 (define @t293 () (or @t262 @t260 @t292)) % 20.62/20.86 (define @t294 () (not @t119)) % 20.62/20.86 (define @t295 () (tptp.r2_hidden @t191 tptp.k1_xboole_0)) % 20.62/20.86 (define @t296 () (not @t295)) % 20.62/20.86 (define @t297 () (or @t296 @t294)) % 20.62/20.86 (define @t298 () (not @t252)) % 20.62/20.86 (define @t299 () (not @t292)) % 20.62/20.86 (define @t300 () (and @t296 @t252 @t292 @t200)) % 20.62/20.86 (define @t301 () (= @t80 (= @t3 @t79))) % 20.62/20.86 (define @t302 () (not @t82)) % 20.62/20.86 (define @t303 () (not @t83)) % 20.62/20.86 (define @t304 () (= @t268 @t254)) % 20.62/20.86 (define @t305 () (= @t274 @t304)) % 20.62/20.86 (define @t306 () (or @t262 @t260 @t305)) % 20.62/20.86 (define @t307 () (tptp.r2_hidden @t250 @t268)) % 20.62/20.86 (define @t308 () (and @t304 @t255)) % 20.62/20.86 (define @t309 () (tptp.r2_hidden @t187 @t194)) % 20.62/20.86 (define @t310 () (tptp.r2_hidden @t188 @t194)) % 20.62/20.86 (define @t311 () (and @t310 @t309)) % 20.62/20.86 (define @t312 () (= @t307 @t311)) % 20.62/20.86 (define @t313 () (not @t311)) % 20.62/20.86 (define @t314 () (@list @t311)) % 20.62/20.86 (define @t315 () (not @t310)) % 20.62/20.86 (define @t316 () (or @t315 @t195)) % 20.62/20.86 (define @t317 () (not @t309)) % 20.62/20.86 (define @t318 () (or @t317 @t196)) % 20.62/20.86 (define @t319 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 20.62/20.86 (define @t320 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 20.62/20.86 (define @t321 () (= (tptp.k1_binop_1 @t23 @t320 @t319) (tptp.k1_altcat_1 @t3 @t320 @t319))) % 20.62/20.86 (define @t322 () (not (tptp.m1_subset_1 @t319 @t14))) % 20.62/20.86 (define @t323 () (not (tptp.m1_subset_1 @t320 @t14))) % 20.62/20.86 (define @t324 () (not @t76)) % 20.62/20.86 (define @t325 () (or @t323 @t322 @t321)) % 20.62/20.86 (define @t326 () (or @t324 @t325)) % 20.62/20.86 (define @t327 () (forall (@list @t3 @t320 @t319) @t326)) % 20.62/20.86 (define @t328 () (@list @t320 @t319)) % 20.62/20.86 (define @t329 () (forall @t328 @t326)) % 20.62/20.86 (define @t330 () (forall @t328 @t325)) % 20.62/20.86 (define @t331 () (@var "BOUND_VARIABLE_8030" $$unsorted)) % 20.62/20.86 (define @t332 () (or @t324 @t330)) % 20.62/20.86 (define @t333 () (= (tptp.k1_binop_1 @t23 @t10 @t331) (tptp.k1_altcat_1 @t3 @t10 @t331))) % 20.62/20.86 (define @t334 () (not (tptp.m1_subset_1 @t331 @t14))) % 20.62/20.86 (define @t335 () (or @t148 @t334 @t333)) % 20.62/20.86 (define @t336 () (@list @t10 @t331)) % 20.62/20.86 (define @t337 () (forall @t336 @t335)) % 20.62/20.86 (define @t338 () (or @t334 @t333)) % 20.62/20.86 (define @t339 () (or @t148 @t338)) % 20.62/20.86 (define @t340 () (forall @t336 @t339)) % 20.62/20.86 (define @t341 () (@list @t331)) % 20.62/20.86 (define @t342 () (forall @t341 @t339)) % 20.62/20.86 (define @t343 () (forall @t341 @t338)) % 20.62/20.86 (define @t344 () (or @t148 @t343)) % 20.62/20.86 (define @t345 () (= @t24 @t68)) % 20.62/20.86 (define @t346 () (forall @t71 (or @t150 @t345))) % 20.62/20.86 (define @t347 () (= @t199 @t190)) % 20.62/20.86 (define @t348 () (not @t196)) % 20.62/20.86 (define @t349 () (not @t195)) % 20.62/20.86 (define @t350 () (or @t275 @t349 @t348 @t347)) % 20.62/20.86 (define @t351 () (tptp.m1_subset_1 @t191 @t199)) % 20.62/20.86 (define @t352 () (or @t201 @t351)) % 20.62/20.86 (define @t353 () (and @t351 @t347)) % 20.62/20.86 (define @t354 () (not @t347)) % 20.62/20.86 (define @t355 () (and @t200 @t347)) % 20.62/20.86 (assume @p1 @t37) % 20.62/20.86 (assume @p2 (forall @t39 (=> @t38 (not (tptp.r2_hidden @t10 @t3))))) % 20.62/20.86 (assume @p3 (forall @t35 (=> @t43 (forall @t42 (=> @t41 @t40))))) % 20.62/20.86 (assume @p4 (forall @t35 (=> @t45 (forall @t42 (=> @t41 (and @t40 @t44)))))) % 20.62/20.86 (assume @p5 (forall @t35 (=> @t47 (forall @t42 (=> @t41 (and @t40 @t44 @t46)))))) % 20.62/20.86 (assume @p6 (forall @t35 (=> @t49 (forall @t42 (=> @t41 (and @t40 @t44 @t48 @t46)))))) % 20.62/20.86 (assume @p7 (forall @t35 (=> @t51 (forall @t42 (=> @t41 (and @t40 @t50 @t44 @t48 @t46)))))) % 20.62/20.86 (assume @p8 (forall @t35 (=> @t52 (and @t43 @t45 @t47 @t49 @t51)))) % 20.62/20.86 (assume @p9 (forall @t35 (=> @t52 @t53))) % 20.62/20.86 (assume @p10 (forall @t35 (=> @t52 @t54))) % 20.62/20.86 (assume @p11 (forall @t35 (=> @t51 @t49))) % 20.62/20.86 (assume @p12 (forall @t35 (=> @t58 (forall @t42 (=> @t41 @t56))))) % 20.62/20.86 (assume @p13 (forall @t35 (=> @t61 @t60))) % 20.62/20.86 (assume @p14 (forall @t35 (=> @t49 @t47))) % 20.62/20.86 (assume @p15 (forall @t35 (=> @t47 @t45))) % 20.62/20.86 (assume @p16 (forall @t35 (=> @t45 @t43))) % 20.62/20.86 (assume @p17 (forall @t39 (= @t62 (tptp.k2_tarski @t10 @t3)))) % 20.62/20.86 (assume @p18 @t67) % 20.62/20.86 (assume @p19 @t78) % 20.62/20.86 (assume @p20 @t86) % 20.62/20.86 (assume @p21 @t96) % 20.62/20.86 (assume @p22 (forall @t39 (= @t98 (tptp.k2_tarski @t62 @t97)))) % 20.62/20.86 (assume @p23 true) % 20.62/20.86 (assume @p24 (forall @t35 (=> @t76 @t99))) % 20.62/20.86 (assume @p25 @t100) % 20.62/20.86 (assume @p26 @t101) % 20.62/20.86 (assume @p27 @t103) % 20.62/20.86 (assume @p28 (exists @t35 @t76)) % 20.62/20.86 (assume @p29 (exists @t35 @t99)) % 20.62/20.86 (assume @p30 (exists @t35 @t30)) % 20.62/20.86 (assume @p31 (forall @t35 (exists @t42 @t80))) % 20.62/20.86 (assume @p32 (forall @t35 (exists @t42 @t41))) % 20.62/20.86 (assume @p33 (forall @t35 (=> @t108 (and @t107 @t106 @t105 @t104)))) % 20.62/20.86 (assume @p34 (forall @t35 (=> @t109 (and @t107 @t106 @t105 @t104 (tptp.v5_membered @t97))))) % 20.62/20.86 (assume @p35 (forall @t39 (=> (and @t111 @t40) @t110))) % 20.62/20.86 (assume @p36 (forall @t39 (=> (and @t113 @t44) (and @t110 @t112)))) % 20.62/20.86 (assume @p37 (forall @t39 (=> (and @t53 (tptp.v1_finset_1 @t10)) (tptp.v1_finset_1 (tptp.k2_zfmisc_1 @t3 @t10))))) % 20.62/20.86 (assume @p38 (forall @t39 (=> (and @t115 @t46) (and @t110 @t112 @t114)))) % 20.62/20.86 (assume @p39 (forall @t39 (=> (and @t108 @t48) (and @t110 @t112 @t114 @t116)))) % 20.62/20.86 (assume @p40 (forall @t39 (=> (and @t109 @t50) (and @t110 @t112 @t114 @t116 (tptp.v5_membered @t62))))) % 20.62/20.86 (assume @p41 (forall @t35 (and @t117 (tptp.v1_finset_1 @t97)))) % 20.62/20.86 (assume @p42 (forall @t35 (=> (and @t32 @t99) (not (tptp.v1_xboole_0 @t14))))) % 20.62/20.86 (assume @p43 (forall @t39 (and @t118 (tptp.v1_finset_1 @t62)))) % 20.62/20.86 (assume @p44 (forall @t35 (=> @t57 (and @t117 (tptp.v1_setfam_1 @t97))))) % 20.62/20.86 (assume @p45 (forall @t39 (=> (and @t57 @t56) (and @t118 (tptp.v1_setfam_1 @t62))))) % 20.62/20.86 (assume @p46 (and @t119 (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 20.62/20.86 (assume @p47 (forall @t35 (=> @t111 @t107))) % 20.62/20.86 (assume @p48 (forall @t35 (=> @t113 (and @t107 @t106)))) % 20.62/20.86 (assume @p49 (forall @t35 (=> @t115 (and @t107 @t106 @t105)))) % 20.62/20.86 (assume @p50 (exists @t35 (and @t57 @t53))) % 20.62/20.86 (assume @p51 (exists @t35 @t66)) % 20.62/20.86 (assume @p52 (exists @t35 (and @t57 @t43 @t45 @t47 @t49 @t51))) % 20.62/20.86 (assume @p53 (exists @t35 @t58)) % 20.62/20.86 (assume @p54 (exists @t35 @t61)) % 20.62/20.86 (assume @p55 (exists @t35 @t60)) % 20.62/20.86 (assume @p56 (exists @t35 (and @t99 @t32))) % 20.62/20.86 (assume @p57 (forall (@list @t3 @t10 @t8 @t5) (= (tptp.r2_hidden @t98 (tptp.k2_zfmisc_1 @t8 @t5)) (and (tptp.r2_hidden @t3 @t8) (tptp.r2_hidden @t10 @t5))))) % 20.62/20.86 (assume @p58 @t121) % 20.62/20.86 (assume @p59 (forall @t39 (=> @t120 (or @t55 @t38)))) % 20.62/20.86 (assume @p60 (forall @t35 (=> @t52 (= @t3 tptp.k1_xboole_0)))) % 20.62/20.86 (assume @p61 @t122) % 20.62/20.86 (assume @p62 (forall @t39 (not (and @t52 (not (= @t3 @t10)) @t55)))) % 20.62/20.86 (step @p63 :rule aci_norm :args ((= @t132 @t130))) % 20.62/20.86 (step @p64 :rule cong :premises (@p63) :args (@t134)) % 20.62/20.86 (step @p65 :rule quant-merge-prenex :args ((= (forall @t35 @t136) @t134))) % 20.62/20.86 (step @p66 :rule alpha_equiv :args (@t137 (@list @t124 @t123 @t126) (@list @t10 @t8 @t5))) % 20.62/20.86 (step @p67 :rule refl :args (@t129)) % 20.62/20.86 (step @p68 :rule refl :args (@t31)) % 20.62/20.86 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args (@t138)) % 20.62/20.86 (step @p70 :rule quant-miniscope-or :args ((= @t136 @t138))) % 20.62/20.86 (step @p71 :rule trans :premises (@p70 @p69)) % 20.62/20.86 (step @p72 :rule symm :premises (@p71)) % 20.62/20.86 (step @p73 :rule cong :premises (@p72) :args ((forall @t35 @t143))) % 20.62/20.86 (step @p74 :rule trans :premises (@p73 @p65)) % 20.62/20.86 (step @p75 :rule trans :premises (@p74 @p64)) % 20.62/20.86 (step @p76 :rule aci_norm :args ((= (or (or @t31 @t129) @t142) @t143))) % 20.62/20.86 (step @p77 :rule refl :args (@t142)) % 20.62/20.86 (step @p78 :rule bool-double-not-elim :args (@t31)) % 20.62/20.86 (step @p79 :rule nary_cong :premises (@p78 @p67) :args ((or (not @t32) @t129))) % 20.62/20.86 (step @p80 :rule bool-and-de-morgan :args (@t32 @t30 true)) % 20.62/20.86 (step @p81 :rule trans :premises (@p80 @p79)) % 20.62/20.86 (step @p82 :rule nary_cong :premises (@p81 @p77) :args ((or (not @t33) @t142))) % 20.62/20.86 (step @p83 :rule trans :premises (@p82 @p76)) % 20.62/20.86 (step @p84 :rule bool-impl-elim :args (@t33 @t142)) % 20.62/20.86 (step @p85 :rule trans :premises (@p84 @p83)) % 20.62/20.86 (step @p86 :rule cong :premises (@p85) :args ((forall @t35 (=> @t33 @t142)))) % 20.62/20.86 (step @p87 :rule trans :premises (@p86 @p75)) % 20.62/20.86 (step @p88 :rule bool-double-not-elim :args (@t139)) % 20.62/20.86 (step @p89 :rule bool-double-not-elim :args (@t140)) % 20.62/20.86 (step @p90 :rule bool-double-not-elim :args (@t73)) % 20.62/20.86 (step @p91 :rule bool-double-not-elim :args (@t69)) % 20.62/20.86 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t152)) % 20.62/20.86 (step @p93 :rule aci_norm :args ((= (and @t151 (and @t149 (and @t147 @t145))) @t152))) % 20.62/20.86 (step @p94 :rule trans :premises (@p93 @p92)) % 20.62/20.86 (step @p95 :rule bool-or-de-morgan :args (@t146 @t144 false)) % 20.62/20.86 (step @p96 :rule refl :args (@t149)) % 20.62/20.86 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((and @t149 (not (or @t146 @t144))))) % 20.62/20.86 (step @p98 :rule bool-or-de-morgan :args (@t148 @t146 (or @t144))) % 20.62/20.86 (step @p99 :rule trans :premises (@p98 @p97)) % 20.62/20.86 (step @p100 :rule refl :args (@t151)) % 20.62/20.86 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((and @t151 (not @t153)))) % 20.62/20.86 (step @p102 :rule bool-or-de-morgan :args (@t150 @t148 (or @t146 @t144))) % 20.62/20.86 (step 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@t348 @t349 @t275 @t347 (not @t350)))) % 20.62/20.87 (step @p530 :rule chain_m_resolution :premises (@p529 @p480 @p473 @p325 @p527) :args (@t347 (@list false false false false) (@list @t196 @t195 @t271 @t350))) % 20.62/20.87 (step @p531 :rule instantiate :premises (@p223) :args ((@list @t191 @t199))) % 20.62/20.87 (step @p532 :rule cnf_or_pos :args (@t352)) % 20.62/20.87 (step @p533 :rule reordering :premises (@p532) :args ((or @t201 @t351 (not @t352)))) % 20.62/20.87 (step @p534 :rule chain_m_resolution :premises (@p533 @p378 @p531) :args (@t351 @t273 (@list @t200 @t352))) % 20.62/20.87 (assume-push @p606 @t351) % 20.62/20.87 (assume-push @p607 @t347) % 20.62/20.87 (assume-push @p608 @t351) % 20.62/20.87 (assume-push @p609 @t347) % 20.62/20.87 (step @p539 :rule true_intro :premises (@p534)) % 20.62/20.87 (step @p540 :rule symm :premises (@p607)) % 20.62/20.87 (step @p392 :rule refl :args (@t191)) % 20.62/20.87 (step @p541 :rule cong :premises (@p392 @p540) :args (@t192)) % 20.62/20.87 (step @p542 :rule trans :premises (@p541 @p539)) % 20.62/20.87 (step @p543 :rule true_elim :premises (@p542)) % 20.62/20.87 (step-pop @p610 :rule scope :premises (@p543)) % 20.62/20.87 (step-pop @p611 :rule scope :premises (@p610)) % 20.62/20.87 (step @p544 :rule process_scope :premises (@p611) :args (@t192)) % 20.62/20.87 (step @p547 :rule and_intro :premises (@p534 @p607)) % 20.62/20.87 (step @p548 :rule modus_ponens :premises (@p547 @p544)) % 20.62/20.87 (step-pop @p612 :rule scope :premises (@p548)) % 20.62/20.87 (step-pop @p613 :rule scope :premises (@p612)) % 20.62/20.87 (step @p549 :rule process_scope :premises (@p613) :args (@t192)) % 20.62/20.87 (step @p552 :rule implies_elim :premises (@p549)) % 20.62/20.87 (step @p553 :rule cnf_and_neg :args (@t353)) % 20.62/20.87 (step @p554 :rule resolution :premises (@p553 @p552) :args (true @t353)) % 20.62/20.87 (step @p555 :rule reordering :premises (@p554) :args ((or @t192 (not @t351) @t354))) % 20.62/20.87 (step @p556 :rule chain_m_resolution :premises (@p555 @p534 @p530) :args (@t192 @t273 (@list @t351 @t347))) % 20.62/20.87 (assume-push @p614 @t200) % 20.62/20.87 (assume-push @p615 @t347) % 20.62/20.87 (assume-push @p616 @t200) % 20.62/20.87 (assume-push @p617 @t347) % 20.62/20.87 (step @p394 :rule true_intro :premises (@p378)) % 20.62/20.87 (step @p561 :rule symm :premises (@p615)) % 20.62/20.87 (step @p392 :rule refl :args (@t191)) % 20.62/20.87 (step @p562 :rule cong :premises (@p392 @p561) :args (@t193)) % 20.62/20.87 (step @p563 :rule trans :premises (@p562 @p394)) % 20.62/20.87 (step @p564 :rule true_elim :premises (@p563)) % 20.62/20.87 (step-pop @p618 :rule scope :premises (@p564)) % 20.62/20.87 (step-pop @p619 :rule scope :premises (@p618)) % 20.62/20.87 (step @p565 :rule process_scope :premises (@p619) :args (@t193)) % 20.62/20.87 (step @p568 :rule and_intro :premises (@p378 @p615)) % 20.62/20.87 (step @p569 :rule modus_ponens :premises (@p568 @p565)) % 20.62/20.87 (step-pop @p620 :rule scope :premises (@p569)) % 20.62/20.87 (step-pop @p621 :rule scope :premises (@p620)) % 20.62/20.87 (step @p570 :rule process_scope :premises (@p621) :args (@t193)) % 20.62/20.87 (step @p573 :rule implies_elim :premises (@p570)) % 20.62/20.87 (step @p574 :rule cnf_and_neg :args (@t355)) % 20.62/20.87 (step @p575 :rule resolution :premises (@p574 @p573) :args (true @t355)) % 20.62/20.87 (step @p576 :rule reordering :premises (@p575) :args ((or @t201 @t193 @t354))) % 20.62/20.87 (step @p577 :rule chain_m_resolution :premises (@p576 @p378 @p530) :args (@t193 @t273 (@list @t200 @t347))) % 20.62/20.87 (step @p578 :rule cnf_and_neg :args (@t197)) % 20.62/20.87 (step @p579 false :rule chain_m_resolution :premises (@p578 @p577 @p556 @p480 @p473 @p220) :args (false (@list false false false false true) (@list @t193 @t192 @t196 @t195 @t197))) % 20.62/20.87 ) % 20.62/20.87 % SZS output end Proof % 20.62/20.87 % cvc5 exiting %------------------------------------------------------------------------------