%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP023+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 : n023.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 09:15:45 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP023+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:18:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.u1_pre_topc (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.g1_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_pre_topc (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.44/0.68 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.44/0.68 (define @t1 () (@var "B" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "D" $$unsorted)) % 0.44/0.68 (define @t3 () (tptp.v1_tsp_2 @t2 @t1)) % 0.44/0.68 (define @t4 () (@var "A" $$unsorted)) % 0.44/0.68 (define @t5 () (@var "C" $$unsorted)) % 0.44/0.68 (define @t6 () (tptp.v1_tsp_2 @t5 @t4)) % 0.44/0.68 (define @t7 () (= @t5 @t2)) % 0.44/0.68 (define @t8 () (tptp.u1_struct_0 @t1)) % 0.44/0.68 (define @t9 () (tptp.u1_pre_topc @t4)) % 0.44/0.68 (define @t10 () (tptp.u1_struct_0 @t4)) % 0.44/0.68 (define @t11 () (tptp.g1_pre_topc @t10 @t9)) % 0.44/0.68 (define @t12 () (= @t11 (tptp.g1_pre_topc @t8 (tptp.u1_pre_topc @t1)))) % 0.44/0.68 (define @t13 () (and @t12 @t7 @t6)) % 0.44/0.68 (define @t14 () (=> @t13 @t3)) % 0.44/0.68 (define @t15 () (tptp.k1_zfmisc_1 @t8)) % 0.44/0.68 (define @t16 () (tptp.m1_subset_1 @t2 @t15)) % 0.44/0.68 (define @t17 () (@list @t2)) % 0.44/0.68 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.44/0.68 (define @t19 () (tptp.k1_zfmisc_1 @t10)) % 0.44/0.68 (define @t20 () (tptp.m1_subset_1 @t5 @t19)) % 0.44/0.68 (define @t21 () (=> @t20 @t18)) % 0.44/0.68 (define @t22 () (@list @t5)) % 0.44/0.68 (define @t23 () (forall @t22 @t21)) % 0.44/0.68 (define @t24 () (tptp.l1_pre_topc @t1)) % 0.44/0.68 (define @t25 () (=> @t24 @t23)) % 0.44/0.68 (define @t26 () (@list @t1)) % 0.44/0.68 (define @t27 () (forall @t26 @t25)) % 0.44/0.68 (define @t28 () (tptp.l1_pre_topc @t4)) % 0.44/0.68 (define @t29 () (=> @t28 @t27)) % 0.44/0.68 (define @t30 () (@list @t4)) % 0.44/0.68 (define @t31 () (forall @t30 @t29)) % 0.44/0.68 (define @t32 () (not @t31)) % 0.44/0.68 (define @t33 () (tptp.v1_pre_topc @t4)) % 0.44/0.68 (define @t34 () (tptp.r2_hidden @t4 @t1)) % 0.44/0.68 (define @t35 () (@list @t4 @t1)) % 0.44/0.68 (define @t36 () (tptp.v1_xcmplx_0 @t1)) % 0.44/0.68 (define @t37 () (tptp.m1_subset_1 @t1 @t4)) % 0.44/0.68 (define @t38 () (tptp.v1_membered @t4)) % 0.44/0.68 (define @t39 () (tptp.v1_xreal_0 @t1)) % 0.44/0.68 (define @t40 () (tptp.v2_membered @t4)) % 0.44/0.68 (define @t41 () (tptp.v1_rat_1 @t1)) % 0.44/0.68 (define @t42 () (tptp.v3_membered @t4)) % 0.44/0.68 (define @t43 () (tptp.v1_int_1 @t1)) % 0.44/0.68 (define @t44 () (tptp.v4_membered @t4)) % 0.44/0.68 (define @t45 () (tptp.v5_membered @t4)) % 0.44/0.68 (define @t46 () (tptp.v1_xboole_0 @t4)) % 0.44/0.68 (define @t47 () (tptp.v1_membered @t1)) % 0.44/0.68 (define @t48 () (tptp.k1_zfmisc_1 @t4)) % 0.44/0.68 (define @t49 () (tptp.m1_subset_1 @t1 @t48)) % 0.44/0.68 (define @t50 () (tptp.v2_membered @t1)) % 0.44/0.68 (define @t51 () (tptp.v3_membered @t1)) % 0.44/0.68 (define @t52 () (tptp.v4_membered @t1)) % 0.44/0.68 (define @t53 () (tptp.v5_membered @t1)) % 0.44/0.68 (define @t54 () (tptp.v2_tops_1 @t1 @t4)) % 0.44/0.68 (define @t55 () (tptp.v1_xboole_0 @t1)) % 0.44/0.68 (define @t56 () (tptp.m1_subset_1 @t1 @t19)) % 0.44/0.68 (define @t57 () (= @t1 @t5)) % 0.44/0.68 (define @t58 () (tptp.r1_tarski @t1 @t5)) % 0.44/0.68 (define @t59 () (tptp.v1_tsp_1 @t5 @t4)) % 0.44/0.68 (define @t60 () (and @t59 @t58)) % 0.44/0.68 (define @t61 () (=> @t60 @t57)) % 0.44/0.68 (define @t62 () (forall @t22 (=> @t20 @t61))) % 0.44/0.68 (define @t63 () (tptp.v1_tsp_1 @t1 @t4)) % 0.44/0.68 (define @t64 () (and @t63 @t62)) % 0.44/0.68 (define @t65 () (tptp.v1_tsp_2 @t1 @t4)) % 0.44/0.68 (define @t66 () (= @t65 @t64)) % 0.44/0.68 (define @t67 () (=> @t56 @t66)) % 0.44/0.68 (define @t68 () (forall @t26 @t67)) % 0.44/0.68 (define @t69 () (=> @t28 @t68)) % 0.44/0.68 (define @t70 () (forall @t30 @t69)) % 0.44/0.68 (define @t71 () (tptp.g1_pre_topc @t4 @t1)) % 0.44/0.68 (define @t72 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t48))) % 0.44/0.68 (define @t73 () (tptp.l1_struct_0 @t4)) % 0.44/0.68 (define @t74 () (tptp.m1_subset_1 @t9 (tptp.k1_zfmisc_1 @t19))) % 0.44/0.68 (define @t75 () (forall @t30 (=> @t28 @t74))) % 0.44/0.68 (define @t76 () (and (= @t4 @t5) (= @t1 @t2))) % 0.44/0.68 (define @t77 () (= @t71 (tptp.g1_pre_topc @t5 @t2))) % 0.44/0.68 (define @t78 () (@list @t5 @t2)) % 0.44/0.68 (define @t79 () (forall @t78 (=> @t77 @t76))) % 0.44/0.68 (define @t80 () (=> @t72 @t79)) % 0.44/0.68 (define @t81 () (forall @t35 @t80)) % 0.44/0.68 (define @t82 () (not @t46)) % 0.44/0.68 (define @t83 () (tptp.m1_subset_1 @t4 @t1)) % 0.44/0.68 (define @t84 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 0.44/0.68 (define @t85 () (@list @t4 @t1 @t5)) % 0.44/0.68 (define @t86 () (tptp.v1_tsp_1 @t2 @t1)) % 0.44/0.68 (define @t87 () (and @t12 @t7 @t59)) % 0.44/0.68 (define @t88 () (=> @t87 @t86)) % 0.44/0.68 (define @t89 () (forall @t17 (=> @t16 @t88))) % 0.44/0.68 (define @t90 () (=> @t20 @t89)) % 0.44/0.68 (define @t91 () (forall @t22 @t90)) % 0.44/0.68 (define @t92 () (=> @t24 @t91)) % 0.44/0.68 (define @t93 () (forall @t26 @t92)) % 0.44/0.68 (define @t94 () (=> @t28 @t93)) % 0.44/0.68 (define @t95 () (forall @t30 @t94)) % 0.44/0.68 (define @t96 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 0.44/0.68 (define @t97 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 0.44/0.68 (define @t98 () (tptp.v1_tsp_1 @t97 @t96)) % 0.44/0.68 (define @t99 () (tptp.u1_struct_0 @t96)) % 0.44/0.68 (define @t100 () (not (tptp.m1_subset_1 @t97 (tptp.k1_zfmisc_1 @t99)))) % 0.44/0.68 (define @t101 () (not (tptp.v1_tsp_1 @t97 @t4))) % 0.44/0.68 (define @t102 () (not (tptp.m1_subset_1 @t97 @t19))) % 0.44/0.68 (define @t103 () (not (= @t11 (tptp.g1_pre_topc @t99 (tptp.u1_pre_topc @t96))))) % 0.44/0.68 (define @t104 () (not (tptp.l1_pre_topc @t96))) % 0.44/0.68 (define @t105 () (not @t28)) % 0.44/0.68 (define @t106 () (or @t105 @t104 @t103 @t102 @t101 @t100 @t98)) % 0.44/0.68 (define @t107 () (or @t104 @t103 @t102 @t101 @t100 @t98)) % 0.44/0.68 (define @t108 () (or @t105 @t107)) % 0.44/0.68 (define @t109 () (@list @t4 @t96 @t97)) % 0.44/0.68 (define @t110 () (forall @t109 @t108)) % 0.44/0.68 (define @t111 () (@list @t96 @t97)) % 0.44/0.68 (define @t112 () (forall @t111 @t108)) % 0.44/0.68 (define @t113 () (forall @t111 @t107)) % 0.44/0.68 (define @t114 () (@var "BOUND_VARIABLE_8213" $$unsorted)) % 0.44/0.68 (define @t115 () (or @t105 @t113)) % 0.44/0.68 (define @t116 () (tptp.v1_tsp_1 @t114 @t1)) % 0.44/0.68 (define @t117 () (not (tptp.m1_subset_1 @t114 @t15))) % 0.44/0.68 (define @t118 () (not (tptp.v1_tsp_1 @t114 @t4))) % 0.44/0.68 (define @t119 () (not (tptp.m1_subset_1 @t114 @t19))) % 0.44/0.68 (define @t120 () (not @t12)) % 0.44/0.68 (define @t121 () (not @t24)) % 0.44/0.68 (define @t122 () (or @t121 @t120 @t119 @t118 @t117 @t116)) % 0.44/0.68 (define @t123 () (@list @t1 @t114)) % 0.44/0.68 (define @t124 () (forall @t123 @t122)) % 0.44/0.68 (define @t125 () (or @t119 @t118 @t117 @t116)) % 0.44/0.68 (define @t126 () (or @t121 @t120 @t125)) % 0.44/0.68 (define @t127 () (forall @t123 @t126)) % 0.44/0.68 (define @t128 () (@list @t114)) % 0.44/0.68 (define @t129 () (forall @t128 @t126)) % 0.44/0.68 (define @t130 () (forall @t128 @t125)) % 0.44/0.68 (define @t131 () (@list @t5)) % 0.44/0.68 (define @t132 () (or @t121 @t120 @t130)) % 0.44/0.68 (define @t133 () (tptp.v1_tsp_1 @t5 @t1)) % 0.44/0.68 (define @t134 () (not (tptp.m1_subset_1 @t5 @t15))) % 0.44/0.68 (define @t135 () (not @t59)) % 0.44/0.68 (define @t136 () (not @t20)) % 0.44/0.68 (define @t137 () (or @t136 @t135 @t134 @t133)) % 0.44/0.68 (define @t138 () (forall @t22 @t137)) % 0.44/0.68 (define @t139 () (or @t121 @t120 @t138)) % 0.44/0.68 (define @t140 () (or @t120 @t138)) % 0.44/0.68 (define @t141 () (or @t120 @t137)) % 0.44/0.68 (define @t142 () (or @t136 @t120 @t135 @t134 @t133)) % 0.44/0.68 (define @t143 () (or @t120 @t135 @t134 @t133)) % 0.44/0.68 (define @t144 () (or @t134 @t133)) % 0.44/0.68 (define @t145 () (not (= @t5 @t5))) % 0.44/0.68 (define @t146 () (or @t134 @t145 @t133)) % 0.44/0.68 (define @t147 () (not @t7)) % 0.44/0.68 (define @t148 () (not @t16)) % 0.44/0.68 (define @t149 () (not (= @t2 @t5))) % 0.44/0.68 (define @t150 () (or @t147 @t148 @t147 @t86)) % 0.44/0.68 (define @t151 () (or @t148 @t147 @t86)) % 0.44/0.68 (define @t152 () (forall @t17 @t151)) % 0.44/0.68 (define @t153 () (or @t120 @t135 @t152)) % 0.44/0.68 (define @t154 () (or @t120 @t135 @t151)) % 0.44/0.68 (define @t155 () (or @t148 @t120 @t147 @t135 @t86)) % 0.44/0.68 (define @t156 () (or @t120 @t147 @t135 @t86)) % 0.44/0.68 (define @t157 () (or @t120 @t147 @t135)) % 0.44/0.68 (define @t158 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 0.44/0.68 (define @t159 () (not (tptp.r1_tarski @t158 @t5))) % 0.44/0.68 (define @t160 () (or @t136 @t135 @t159 (= @t158 @t5))) % 0.44/0.68 (define @t161 () (forall @t22 @t160)) % 0.44/0.68 (define @t162 () (tptp.v1_tsp_1 @t158 @t4)) % 0.44/0.68 (define @t163 () (and @t162 @t161)) % 0.44/0.68 (define @t164 () (tptp.v1_tsp_2 @t158 @t4)) % 0.44/0.68 (define @t165 () (= @t164 @t163)) % 0.44/0.68 (define @t166 () (not (tptp.m1_subset_1 @t158 @t19))) % 0.44/0.68 (define @t167 () (or @t105 @t166 @t165)) % 0.44/0.68 (define @t168 () (or @t166 @t165)) % 0.44/0.68 (define @t169 () (or @t105 @t168)) % 0.44/0.68 (define @t170 () (forall (@list @t4 @t158) @t169)) % 0.44/0.68 (define @t171 () (@list @t158)) % 0.44/0.68 (define @t172 () (forall @t171 @t169)) % 0.44/0.68 (define @t173 () (forall @t171 @t168)) % 0.44/0.68 (define @t174 () (or @t105 @t173)) % 0.44/0.68 (define @t175 () (not @t58)) % 0.44/0.68 (define @t176 () (or @t136 @t135 @t175 @t57)) % 0.44/0.68 (define @t177 () (= @t65 (and @t63 (forall @t22 @t176)))) % 0.44/0.68 (define @t178 () (forall @t26 (or (not @t56) @t177))) % 0.44/0.68 (define @t179 () (or @t135 @t175 @t57)) % 0.44/0.68 (define @t180 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 0.44/0.68 (define @t181 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.44/0.68 (define @t182 () (tptp.v1_tsp_2 @t181 @t180)) % 0.44/0.68 (define @t183 () (tptp.u1_struct_0 @t180)) % 0.44/0.68 (define @t184 () (not (tptp.m1_subset_1 @t181 (tptp.k1_zfmisc_1 @t183)))) % 0.44/0.68 (define @t185 () (not (tptp.v1_tsp_2 @t181 @t4))) % 0.44/0.68 (define @t186 () (not (tptp.m1_subset_1 @t181 @t19))) % 0.44/0.68 (define @t187 () (not (= @t11 (tptp.g1_pre_topc @t183 (tptp.u1_pre_topc @t180))))) % 0.44/0.68 (define @t188 () (not (tptp.l1_pre_topc @t180))) % 0.44/0.68 (define @t189 () (or @t105 @t188 @t187 @t186 @t185 @t184 @t182)) % 0.44/0.68 (define @t190 () (@list @t4 @t180 @t181)) % 0.44/0.68 (define @t191 () (forall @t190 @t189)) % 0.44/0.68 (define @t192 () (@quantifiers_skolemize @t191 2)) % 0.44/0.68 (define @t193 () (@quantifiers_skolemize @t191 0)) % 0.44/0.68 (define @t194 () (or @t188 @t187 @t186 @t185 @t184 @t182)) % 0.44/0.68 (define @t195 () (or @t105 @t194)) % 0.44/0.68 (define @t196 () (forall @t190 @t195)) % 0.44/0.68 (define @t197 () (@list @t180 @t181)) % 0.44/0.68 (define @t198 () (forall @t197 @t195)) % 0.44/0.68 (define @t199 () (forall @t197 @t194)) % 0.44/0.68 (define @t200 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 0.44/0.68 (define @t201 () (or @t105 @t199)) % 0.44/0.68 (define @t202 () (tptp.v1_tsp_2 @t200 @t1)) % 0.44/0.68 (define @t203 () (not (tptp.m1_subset_1 @t200 @t15))) % 0.44/0.68 (define @t204 () (not (tptp.v1_tsp_2 @t200 @t4))) % 0.44/0.68 (define @t205 () (not (tptp.m1_subset_1 @t200 @t19))) % 0.44/0.68 (define @t206 () (or @t121 @t120 @t205 @t204 @t203 @t202)) % 0.44/0.68 (define @t207 () (@list @t1 @t200)) % 0.44/0.68 (define @t208 () (forall @t207 @t206)) % 0.44/0.68 (define @t209 () (or @t205 @t204 @t203 @t202)) % 0.44/0.68 (define @t210 () (or @t121 @t120 @t209)) % 0.44/0.68 (define @t211 () (forall @t207 @t210)) % 0.44/0.68 (define @t212 () (@list @t200)) % 0.44/0.68 (define @t213 () (forall @t212 @t210)) % 0.44/0.68 (define @t214 () (forall @t212 @t209)) % 0.44/0.68 (define @t215 () (or @t121 @t120 @t214)) % 0.44/0.68 (define @t216 () (tptp.v1_tsp_2 @t5 @t1)) % 0.44/0.68 (define @t217 () (not @t6)) % 0.44/0.68 (define @t218 () (or @t136 @t217 @t134 @t216)) % 0.44/0.68 (define @t219 () (forall @t22 @t218)) % 0.44/0.68 (define @t220 () (or @t121 @t120 @t219)) % 0.44/0.68 (define @t221 () (or @t120 @t219)) % 0.44/0.68 (define @t222 () (or @t120 @t218)) % 0.44/0.68 (define @t223 () (or @t136 @t120 @t217 @t134 @t216)) % 0.44/0.68 (define @t224 () (or @t120 @t217 @t134 @t216)) % 0.44/0.68 (define @t225 () (or @t134 @t216)) % 0.44/0.68 (define @t226 () (or @t134 @t145 @t216)) % 0.44/0.68 (define @t227 () (or @t147 @t148 @t147 @t3)) % 0.44/0.68 (define @t228 () (or @t148 @t147 @t3)) % 0.44/0.68 (define @t229 () (forall @t17 @t228)) % 0.44/0.68 (define @t230 () (or @t120 @t217 @t229)) % 0.44/0.68 (define @t231 () (or @t120 @t217 @t228)) % 0.44/0.68 (define @t232 () (or @t148 @t120 @t147 @t217 @t3)) % 0.44/0.68 (define @t233 () (or @t120 @t147 @t217 @t3)) % 0.44/0.68 (define @t234 () (or @t120 @t147 @t217)) % 0.44/0.68 (define @t235 () (tptp.u1_struct_0 @t193)) % 0.44/0.68 (define @t236 () (tptp.k1_zfmisc_1 @t235)) % 0.44/0.68 (define @t237 () (tptp.m1_subset_1 @t192 @t236)) % 0.44/0.68 (define @t238 () (@quantifiers_skolemize @t191 1)) % 0.44/0.68 (define @t239 () (tptp.v1_tsp_2 @t192 @t238)) % 0.44/0.68 (define @t240 () (tptp.u1_struct_0 @t238)) % 0.44/0.68 (define @t241 () (tptp.k1_zfmisc_1 @t240)) % 0.44/0.68 (define @t242 () (tptp.m1_subset_1 @t192 @t241)) % 0.44/0.68 (define @t243 () (not @t242)) % 0.44/0.68 (define @t244 () (tptp.v1_tsp_2 @t192 @t193)) % 0.44/0.68 (define @t245 () (not @t244)) % 0.44/0.68 (define @t246 () (not @t237)) % 0.44/0.68 (define @t247 () (tptp.u1_pre_topc @t238)) % 0.44/0.68 (define @t248 () (tptp.g1_pre_topc @t240 @t247)) % 0.44/0.68 (define @t249 () (tptp.u1_pre_topc @t193)) % 0.44/0.68 (define @t250 () (tptp.g1_pre_topc @t235 @t249)) % 0.44/0.68 (define @t251 () (= @t250 @t248)) % 0.44/0.68 (define @t252 () (not @t251)) % 0.44/0.68 (define @t253 () (tptp.l1_pre_topc @t238)) % 0.44/0.68 (define @t254 () (not @t253)) % 0.44/0.68 (define @t255 () (tptp.l1_pre_topc @t193)) % 0.44/0.68 (define @t256 () (not @t255)) % 0.44/0.68 (define @t257 () (or @t256 @t254 @t252 @t246 @t245 @t243 @t239)) % 0.44/0.68 (define @t258 () (@list true)) % 0.44/0.68 (define @t259 () (@list @t257)) % 0.44/0.68 (define @t260 () (= @t5 @t192)) % 0.44/0.68 (define @t261 () (not (tptp.r1_tarski @t192 @t5))) % 0.44/0.68 (define @t262 () (forall @t22 (or (not (tptp.m1_subset_1 @t5 @t236)) (not (tptp.v1_tsp_1 @t5 @t193)) @t261 @t260))) % 0.44/0.68 (define @t263 () (tptp.v1_tsp_1 @t192 @t193)) % 0.44/0.68 (define @t264 () (and @t263 @t262)) % 0.44/0.68 (define @t265 () (= @t244 @t264)) % 0.44/0.68 (define @t266 () (or @t256 @t246 @t265)) % 0.44/0.68 (define @t267 () (@list false false false)) % 0.44/0.68 (define @t268 () (@list false false)) % 0.44/0.68 (define @t269 () (not @t264)) % 0.44/0.68 (define @t270 () (@list false)) % 0.44/0.68 (define @t271 () (@list @t264)) % 0.44/0.68 (define @t272 () (forall @t22 (or (not (tptp.m1_subset_1 @t5 @t241)) (not (tptp.v1_tsp_1 @t5 @t238)) @t261 @t260))) % 0.44/0.68 (define @t273 () (@quantifiers_skolemize @t272 0)) % 0.44/0.68 (define @t274 () (tptp.r1_tarski @t192 @t273)) % 0.44/0.68 (define @t275 () (not @t274)) % 0.44/0.68 (define @t276 () (tptp.v1_tsp_1 @t273 @t193)) % 0.44/0.68 (define @t277 () (not @t276)) % 0.44/0.68 (define @t278 () (tptp.m1_subset_1 @t273 @t236)) % 0.44/0.68 (define @t279 () (not @t278)) % 0.44/0.68 (define @t280 () (= @t273 @t192)) % 0.44/0.68 (define @t281 () (or @t279 @t277 @t275 @t280)) % 0.44/0.68 (define @t282 () (= @t192 @t273)) % 0.44/0.68 (define @t283 () (or @t279 @t277 @t275 @t282)) % 0.44/0.68 (define @t284 () (tptp.v1_tsp_1 @t192 @t238)) % 0.44/0.68 (define @t285 () (not @t263)) % 0.44/0.68 (define @t286 () (or @t256 @t254 @t252 @t246 @t285 @t243 @t284)) % 0.44/0.68 (define @t287 () (and @t284 @t272)) % 0.44/0.68 (define @t288 () (= @t239 @t287)) % 0.44/0.68 (define @t289 () (or @t254 @t243 @t288)) % 0.44/0.68 (define @t290 () (not @t287)) % 0.44/0.68 (define @t291 () (@list true false)) % 0.44/0.68 (define @t292 () (not @t272)) % 0.44/0.68 (define @t293 () (tptp.v1_tsp_1 @t273 @t238)) % 0.44/0.68 (define @t294 () (not @t293)) % 0.44/0.68 (define @t295 () (tptp.m1_subset_1 @t273 @t241)) % 0.44/0.68 (define @t296 () (not @t295)) % 0.44/0.68 (define @t297 () (or @t296 @t294 @t275 @t282)) % 0.44/0.68 (define @t298 () (not @t297)) % 0.44/0.68 (define @t299 () (or @t296 @t294 @t275 @t280)) % 0.44/0.68 (define @t300 () (not @t299)) % 0.44/0.68 (define @t301 () (@list @t297)) % 0.44/0.68 (define @t302 () (@var "BOUND_VARIABLE_8104" $$unsorted)) % 0.44/0.68 (define @t303 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 0.44/0.68 (define @t304 () (and (= @t4 @t303) (= @t1 @t302))) % 0.44/0.68 (define @t305 () (not (= @t71 (tptp.g1_pre_topc @t303 @t302)))) % 0.44/0.68 (define @t306 () (not @t72)) % 0.44/0.68 (define @t307 () (or @t305 @t304)) % 0.44/0.68 (define @t308 () (or @t306 @t307)) % 0.44/0.68 (define @t309 () (forall (@list @t4 @t1 @t303 @t302) @t308)) % 0.44/0.68 (define @t310 () (@list @t303 @t302)) % 0.44/0.68 (define @t311 () (forall @t310 @t308)) % 0.44/0.68 (define @t312 () (forall @t310 @t307)) % 0.44/0.68 (define @t313 () (or @t306 @t312)) % 0.44/0.68 (define @t314 () (forall @t78 (or (not @t77) @t76))) % 0.44/0.68 (define @t315 () (tptp.m1_subset_1 @t249 (tptp.k1_zfmisc_1 @t236))) % 0.44/0.68 (define @t316 () (or @t256 @t315)) % 0.44/0.68 (define @t317 () (= @t235 @t240)) % 0.44/0.68 (define @t318 () (and @t317 (= @t249 @t247))) % 0.44/0.68 (define @t319 () (not @t315)) % 0.44/0.68 (define @t320 () (or @t319 @t252 @t318)) % 0.44/0.68 (define @t321 () (or @t254 @t256 @t252 @t296 @t294 @t279 @t276)) % 0.44/0.68 (define @t322 () (not @t321)) % 0.44/0.68 (define @t323 () (not (= @t248 @t250))) % 0.44/0.68 (define @t324 () (or @t254 @t256 @t323 @t296 @t294 @t279 @t276)) % 0.44/0.68 (define @t325 () (forall @t109 @t106)) % 0.44/0.68 (assume @p1 @t32) % 0.44/0.68 (assume @p2 (forall @t30 (=> @t28 (=> @t33 (= @t4 @t11))))) % 0.44/0.68 (assume @p3 (forall @t35 (=> @t34 (not (tptp.r2_hidden @t1 @t4))))) % 0.44/0.68 (assume @p4 (forall @t30 (=> @t38 (forall @t26 (=> @t37 @t36))))) % 0.44/0.68 (assume @p5 (forall @t30 (=> @t40 (forall @t26 (=> @t37 (and @t36 @t39)))))) % 0.44/0.68 (assume @p6 (forall @t30 (=> @t42 (forall @t26 (=> @t37 (and @t36 @t39 @t41)))))) % 0.44/0.68 (assume @p7 (forall @t30 (=> @t44 (forall @t26 (=> @t37 (and @t36 @t39 @t43 @t41)))))) % 0.44/0.68 (assume @p8 (forall @t30 (=> @t45 (forall @t26 (=> @t37 (and @t36 (tptp.v4_ordinal2 @t1) @t39 @t43 @t41)))))) % 0.44/0.68 (assume @p9 (forall @t30 (=> @t46 (and @t38 @t40 @t42 @t44 @t45)))) % 0.44/0.68 (assume @p10 (forall @t30 (=> @t38 (forall @t26 (=> @t49 @t47))))) % 0.44/0.68 (assume @p11 (forall @t30 (=> @t40 (forall @t26 (=> @t49 (and @t47 @t50)))))) % 0.44/0.68 (assume @p12 (forall @t30 (=> @t42 (forall @t26 (=> @t49 (and @t47 @t50 @t51)))))) % 0.44/0.68 (assume @p13 (forall @t30 (=> @t44 (forall @t26 (=> @t49 (and @t47 @t50 @t51 @t52)))))) % 0.44/0.68 (assume @p14 (forall @t30 (=> @t45 @t44))) % 0.44/0.68 (assume @p15 (forall @t30 (=> @t45 (forall @t26 (=> @t49 (and @t47 @t50 @t51 @t52 @t53)))))) % 0.44/0.68 (assume @p16 (forall @t30 (=> @t44 @t42))) % 0.44/0.68 (assume @p17 (forall @t30 (=> @t28 (forall @t26 (=> @t56 (=> @t55 @t54)))))) % 0.44/0.68 (assume @p18 (forall @t30 (=> @t42 @t40))) % 0.44/0.68 (assume @p19 (forall @t30 (=> @t40 @t38))) % 0.44/0.68 (assume @p20 @t70) % 0.44/0.68 (assume @p21 (forall @t35 (=> @t72 (and (tptp.v1_pre_topc @t71) (tptp.l1_pre_topc @t71))))) % 0.44/0.68 (assume @p22 true) % 0.44/0.68 (assume @p23 (forall @t30 (=> @t28 @t73))) % 0.44/0.68 (assume @p24 @t75) % 0.44/0.68 (assume @p25 (exists @t30 @t28)) % 0.44/0.68 (assume @p26 (exists @t30 @t73)) % 0.44/0.68 (assume @p27 (forall @t30 (exists @t26 @t37))) % 0.44/0.68 (assume @p28 (forall @t30 (not (tptp.v1_xboole_0 @t48)))) % 0.44/0.68 (assume @p29 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (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))) % 0.44/0.68 (assume @p30 @t81) % 0.44/0.68 (assume @p31 (exists @t30 (and @t82 @t38 @t40 @t42 @t44 @t45))) % 0.44/0.68 (assume @p32 (exists @t30 (and @t28 @t33))) % 0.44/0.68 (assume @p33 (forall @t30 (=> @t82 (exists @t26 (and @t49 (not @t55)))))) % 0.44/0.68 (assume @p34 (forall @t30 (exists @t26 (and @t49 @t55)))) % 0.44/0.68 (assume @p35 (forall @t30 (=> @t28 (exists @t26 (and @t56 @t55 @t47 @t50 @t51 @t52 @t53 @t54))))) % 0.44/0.68 (assume @p36 (forall @t35 (tptp.r1_tarski @t4 @t4))) % 0.44/0.68 (assume @p37 (forall @t35 (=> @t34 @t83))) % 0.44/0.68 (assume @p38 (forall @t35 (=> @t83 (or @t55 @t34)))) % 0.44/0.68 (assume @p39 (forall @t35 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t4 @t1)))) % 0.44/0.68 (assume @p40 (forall @t85 (=> (and @t34 @t84) (tptp.m1_subset_1 @t4 @t5)))) % 0.44/0.68 (assume @p41 (forall @t85 (not (and @t34 @t84 (tptp.v1_xboole_0 @t5))))) % 0.44/0.68 (assume @p42 @t95) % 0.44/0.68 (assume @p43 (forall @t30 (=> @t46 (= @t4 tptp.k1_xboole_0)))) % 0.44/0.68 (assume @p44 (forall @t35 (not (and @t34 @t55)))) % 0.44/0.68 (assume @p45 (forall @t35 (not (and @t46 (not (= @t4 @t1)) @t55)))) % 0.44/0.68 (step @p46 :rule aci_norm :args ((= @t108 @t106))) % 0.44/0.68 (step @p47 :rule cong :premises (@p46) :args (@t110)) % 0.44/0.68 (step @p48 :rule quant-merge-prenex :args ((= (forall @t30 @t112) @t110))) % 0.44/0.68 (step @p49 :rule alpha_equiv :args (@t113 (@list @t96 @t97) (@list @t1 @t114))) % 0.44/0.68 (step @p50 :rule refl :args (@t105)) % 0.44/0.68 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t115)) % 0.44/0.68 (step @p52 :rule quant-miniscope-or :args ((= @t112 @t115))) % 0.44/0.68 (step @p53 :rule trans :premises (@p52 @p51)) % 0.44/0.68 (step @p54 :rule symm :premises (@p53)) % 0.44/0.68 (step @p55 :rule cong :premises (@p54) :args ((forall @t30 (or @t105 @t124)))) % 0.44/0.68 (step @p56 :rule trans :premises (@p55 @p48)) % 0.44/0.68 (step @p57 :rule trans :premises (@p56 @p47)) % 0.44/0.68 (step @p58 :rule bool-impl-elim :args (@t28 @t124)) % 0.44/0.68 (step @p59 :rule cong :premises (@p58) :args ((forall @t30 (=> @t28 @t124)))) % 0.44/0.68 (step @p60 :rule trans :premises (@p59 @p57)) % 0.44/0.68 (step @p61 :rule aci_norm :args ((= @t126 @t122))) % 0.44/0.68 (step @p62 :rule cong :premises (@p61) :args (@t127)) % 0.44/0.68 (step @p63 :rule quant-merge-prenex :args ((= (forall @t26 @t129) @t127))) % 0.44/0.68 (step @p64 :rule alpha_equiv :args (@t130 (@list @t114) @t131)) % 0.44/0.68 (step @p65 :rule refl :args (@t120)) % 0.44/0.68 (step @p66 :rule refl :args (@t121)) % 0.44/0.68 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64) :args (@t132)) % 0.44/0.68 (step @p68 :rule quant-miniscope-or :args ((= @t129 @t132))) % 0.44/0.69 (step @p69 :rule trans :premises (@p68 @p67)) % 0.44/0.69 (step @p70 :rule symm :premises (@p69)) % 0.44/0.69 (step @p71 :rule cong :premises (@p70) :args ((forall @t26 @t139))) % 0.44/0.69 (step @p72 :rule trans :premises (@p71 @p63)) % 0.44/0.69 (step @p73 :rule trans :premises (@p72 @p62)) % 0.44/0.69 (step @p74 :rule aci_norm :args ((= (or @t121 @t140) @t139))) % 0.44/0.69 (step @p75 :rule bool-impl-elim :args (@t24 @t140)) % 0.44/0.69 (step @p76 :rule trans :premises (@p75 @p74)) % 0.44/0.69 (step @p77 :rule cong :premises (@p76) :args ((forall @t26 (=> @t24 @t140)))) % 0.44/0.69 (step @p78 :rule trans :premises (@p77 @p73)) % 0.44/0.69 (step @p79 :rule quant-miniscope-or :args ((= (forall @t22 @t141) @t140))) % 0.44/0.69 (step @p80 :rule aci_norm :args ((= @t142 @t141))) % 0.44/0.69 (step @p81 :rule cong :premises (@p80) :args ((forall @t22 @t142))) % 0.44/0.69 (step @p82 :rule trans :premises (@p81 @p79)) % 0.44/0.69 (step @p83 :rule aci_norm :args ((= (or @t136 @t143) @t142))) % 0.44/0.69 (step @p84 :rule bool-impl-elim :args (@t20 @t143)) % 0.44/0.69 (step @p85 :rule trans :premises (@p84 @p83)) % 0.44/0.69 (step @p86 :rule cong :premises (@p85) :args ((forall @t22 (=> @t20 @t143)))) % 0.44/0.69 (step @p87 :rule trans :premises (@p86 @p82)) % 0.44/0.69 (step @p88 :rule aci_norm :args ((= (or @t120 @t135 @t144) @t143))) % 0.44/0.69 (step @p89 :rule aci_norm :args ((= (or @t134 false @t133) @t144))) % 0.44/0.69 (step @p90 :rule refl :args (@t133)) % 0.44/0.69 (step @p91 :rule evaluate :args ((not true))) % 0.44/0.69 (step @p92 :rule eq-refl :args (@t5)) % 0.44/0.69 (step @p93 :rule cong :premises (@p92) :args (@t145)) % 0.44/0.69 (step @p94 :rule trans :premises (@p93 @p91)) % 0.44/0.69 (step @p95 :rule refl :args (@t134)) % 0.44/0.69 (step @p96 :rule nary_cong 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@p351 :rule eq_resolve :premises (@p350 @p349)) % 0.44/0.69 (step @p352 :rule reordering :premises (@p351) :args ((or @t251 @t257))) % 0.44/0.69 (step @p353 :rule chain_m_resolution :premises (@p352 @p295) :args (@t251 @t258 @t259)) % 0.44/0.69 (step @p354 :rule bool-double-not-elim :args (@t253)) % 0.44/0.69 (step @p355 :rule nary_cong :premises (@p297 @p354) :args ((or @t257 (not @t254)))) % 0.44/0.69 (step @p356 :rule cnf_or_neg :args (@t257 1)) % 0.44/0.69 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.44/0.69 (step @p358 :rule reordering :premises (@p357) :args ((or @t253 @t257))) % 0.44/0.69 (step @p359 :rule chain_m_resolution :premises (@p358 @p295) :args (@t253 @t258 @t259)) % 0.44/0.69 (step @p360 :rule cnf_or_pos :args (@t286)) % 0.44/0.69 (step @p361 :rule reordering :premises (@p360) :args ((or @t256 @t254 @t252 @t246 @t243 @t284 @t285 (not @t286)))) % 0.44/0.69 (step @p362 :rule chain_m_resolution :premises (@p361 @p308 @p359 @p353 @p302 @p347 @p341 @p338) :args (@t284 (@list false false false false false false false) (@list @t255 @t253 @t251 @t237 @t242 @t263 @t286))) % 0.44/0.69 (step @p363 :rule instantiate :premises (@p204) :args ((@list @t238 @t192))) % 0.44/0.69 (step @p364 :rule cnf_or_pos :args (@t289)) % 0.44/0.69 (step @p365 :rule reordering :premises (@p364) :args ((or @t254 @t243 @t288 (not @t289)))) % 0.44/0.69 (step @p366 :rule chain_m_resolution :premises (@p365 @p359 @p347 @p363) :args (@t288 @t267 (@list @t253 @t242 @t289))) % 0.44/0.69 (step @p367 :rule cnf_or_neg :args (@t257 6)) % 0.44/0.69 (step @p368 :rule chain_m_resolution :premises (@p367 @p295) :args ((not @t239) @t258 @t259)) % 0.44/0.69 (step @p369 :rule cnf_equiv_pos2 :args (@t288)) % 0.44/0.69 (step @p370 :rule reordering :premises (@p369) :args ((or @t239 @t290 (not @t288)))) % 0.44/0.69 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p366) :args (@t290 @t291 (@list @t239 @t288))) % 0.44/0.69 (step @p372 :rule cnf_and_neg :args (@t287)) % 0.44/0.69 (step @p373 :rule chain_m_resolution :premises (@p372 @p371 @p362) :args (@t292 @t291 (@list @t287 @t284))) % 0.44/0.69 (step @p374 :rule refl :args (@t298)) % 0.44/0.69 (step @p375 :rule bool-double-not-elim :args (@t272)) % 0.44/0.69 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or (not @t292) @t298))) % 0.44/0.69 (step @p377 :rule refl :args (@t294)) % 0.44/0.69 (step @p378 :rule refl :args (@t296)) % 0.44/0.69 (step @p379 :rule nary_cong :premises (@p378 @p377 @p325 @p324) :args (@t299)) % 0.44/0.69 (step @p380 :rule cong :premises (@p379) :args (@t300)) % 0.44/0.69 (step @p381 :rule refl :args (@t292)) % 0.44/0.69 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t292 @t300))) % 0.44/0.69 (assume-push @p477 @t292) % 0.44/0.69 (step @p384 :rule skolemize :premises (@p373)) % 0.44/0.69 (step-pop @p478 :rule scope :premises (@p384)) % 0.44/0.69 (step @p385 :rule process_scope :premises (@p478) :args (@t300)) % 0.44/0.69 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 0.44/0.69 (step @p388 :rule implies_elim :premises (@p387)) % 0.44/0.69 (step @p389 :rule eq_resolve :premises (@p388 @p376)) % 0.44/0.69 (step @p390 :rule chain_m_resolution :premises (@p389 @p373) :args (@t298 @t258 (@list @t272))) % 0.44/0.69 (step @p391 :rule bool-double-not-elim :args (@t295)) % 0.44/0.69 (step @p392 :rule refl :args (@t297)) % 0.44/0.69 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t297 (not @t296)))) % 0.44/0.69 (step @p394 :rule cnf_or_neg :args (@t297 0)) % 0.44/0.69 (step @p395 :rule eq_resolve :premises (@p394 @p393)) % 0.44/0.69 (step @p396 :rule reordering :premises (@p395) :args ((or @t295 @t297))) % 0.44/0.69 (step @p397 :rule chain_m_resolution :premises (@p396 @p390) :args (@t295 @t258 @t301)) % 0.44/0.69 (step @p398 :rule true_intro :premises (@p397)) % 0.44/0.69 (step @p399 :rule aci_norm :args ((= @t308 (or @t306 @t305 @t304)))) % 0.44/0.69 (step @p400 :rule cong :premises (@p399) :args (@t309)) % 0.44/0.69 (step @p401 :rule quant-merge-prenex :args ((= (forall @t35 @t311) @t309))) % 0.44/0.69 (step @p402 :rule alpha_equiv :args (@t312 (@list @t303 @t302) (@list @t5 @t2))) % 0.44/0.69 (step @p403 :rule refl :args (@t306)) % 0.44/0.69 (step @p404 :rule nary_cong :premises (@p403 @p402) :args (@t313)) % 0.44/0.69 (step @p405 :rule quant-miniscope-or :args ((= @t311 @t313))) % 0.44/0.69 (step @p406 :rule trans :premises (@p405 @p404)) % 0.44/0.69 (step @p407 :rule symm :premises (@p406)) % 0.44/0.69 (step @p408 :rule cong :premises (@p407) :args ((forall @t35 (or @t306 @t314)))) % 0.44/0.69 (step @p409 :rule trans :premises (@p408 @p401)) % 0.44/0.69 (step @p410 :rule trans :premises (@p409 @p400)) % 0.44/0.69 (step @p411 :rule bool-impl-elim :args (@t72 @t314)) % 0.44/0.69 (step @p412 :rule cong :premises (@p411) :args ((forall @t35 (=> @t72 @t314)))) % 0.44/0.69 (step @p413 :rule trans :premises (@p412 @p410)) % 0.44/0.69 (step @p414 :rule bool-impl-elim :args (@t77 @t76)) % 0.44/0.69 (step @p415 :rule cong :premises (@p414) :args (@t79)) % 0.44/0.69 (step @p416 :rule refl :args (@t72)) % 0.44/0.69 (step @p417 :rule cong :premises (@p416 @p415) :args (@t80)) % 0.44/0.69 (step @p418 :rule cong :premises (@p417) :args (@t81)) % 0.44/0.69 (step @p419 :rule trans :premises (@p418 @p413)) % 0.44/0.69 (step @p420 :rule eq_resolve :premises (@p30 @p419)) % 0.44/0.69 (step @p421 :rule instantiate :premises (@p420) :args ((@list @t235 @t249 @t240 @t247))) % 0.44/0.69 (step @p422 :rule bool-impl-elim :args (@t28 @t74)) % 0.44/0.69 (step @p423 :rule cong :premises (@p422) :args (@t75)) % 0.44/0.69 (step @p424 :rule eq_resolve :premises (@p24 @p423)) % 0.44/0.69 (step @p425 :rule instantiate :premises (@p424) :args ((@list @t193))) % 0.44/0.69 (step @p426 :rule cnf_or_pos :args (@t316)) % 0.44/0.69 (step @p427 :rule reordering :premises (@p426) :args ((or @t256 @t315 (not @t316)))) % 0.44/0.69 (step @p428 :rule chain_m_resolution :premises (@p427 @p308 @p425) :args (@t315 @t268 (@list @t255 @t316))) % 0.44/0.69 (step @p429 :rule cnf_or_pos :args (@t320)) % 0.44/0.69 (step @p430 :rule reordering :premises (@p429) :args ((or @t252 @t319 @t318 (not @t320)))) % 0.44/0.69 (step @p431 :rule chain_m_resolution :premises (@p430 @p353 @p428 @p421) :args (@t318 @t267 (@list @t251 @t315 @t320))) % 0.44/0.69 (step @p432 :rule cnf_and_pos :args (@t318 0)) % 0.44/0.69 (step @p433 :rule reordering :premises (@p432) :args ((or @t317 (not @t318)))) % 0.44/0.69 (step @p434 :rule chain_m_resolution :premises (@p433 @p431) :args (@t317 @t270 (@list @t318))) % 0.44/0.69 (step @p435 :rule cong :premises (@p434) :args (@t236)) % 0.44/0.69 (step @p436 :rule refl :args (@t273)) % 0.44/0.69 (step @p437 :rule cong :premises (@p436 @p435) :args (@t278)) % 0.44/0.69 (step @p438 :rule trans :premises (@p437 @p398)) % 0.44/0.69 (step @p439 :rule true_elim :premises (@p438)) % 0.44/0.69 (step @p440 :rule cnf_or_neg :args (@t297 3)) % 0.44/0.69 (step @p441 :rule chain_m_resolution :premises (@p440 @p390) :args ((not @t282) @t258 @t301)) % 0.44/0.69 (step @p442 :rule bool-double-not-elim :args (@t274)) % 0.44/0.69 (step @p443 :rule nary_cong :premises (@p392 @p442) :args ((or @t297 (not @t275)))) % 0.44/0.69 (step @p444 :rule cnf_or_neg :args (@t297 2)) % 0.44/0.69 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.44/0.69 (step @p446 :rule reordering :premises (@p445) :args ((or @t274 @t297))) % 0.44/0.69 (step @p447 :rule chain_m_resolution :premises (@p446 @p390) :args (@t274 @t258 @t301)) % 0.44/0.69 (step @p448 :rule cnf_or_pos :args (@t283)) % 0.44/0.69 (step @p449 :rule reordering :premises (@p448) :args ((or @t275 @t282 @t279 @t277 (not @t283)))) % 0.44/0.69 (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p441 @p439 @p337) :args (@t277 (@list false true false false) (@list @t274 @t282 @t278 @t283))) % 0.44/0.69 (step @p451 :rule bool-double-not-elim :args (@t293)) % 0.44/0.69 (step @p452 :rule nary_cong :premises (@p392 @p451) :args ((or @t297 (not @t294)))) % 0.44/0.69 (step @p453 :rule cnf_or_neg :args (@t297 1)) % 0.44/0.69 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.44/0.69 (step @p455 :rule reordering :premises (@p454) :args ((or @t293 @t297))) % 0.44/0.69 (step @p456 :rule chain_m_resolution :premises (@p455 @p390) :args (@t293 @t258 @t301)) % 0.44/0.69 (step @p457 :rule cnf_or_pos :args (@t321)) % 0.44/0.69 (step @p458 :rule reordering :premises (@p457) :args ((or @t256 @t254 @t252 @t296 @t294 @t279 @t276 @t322))) % 0.44/0.69 (step @p459 :rule chain_m_resolution :premises (@p458 @p308 @p359 @p353 @p397 @p456 @p439 @p450) :args (@t322 (@list false false false false false false true) (@list @t255 @t253 @t251 @t295 @t293 @t278 @t276))) % 0.44/0.69 (step @p460 :rule refl :args (@t276)) % 0.44/0.69 (step @p461 :rule eq-symm :args (@t248 @t250)) % 0.44/0.69 (step @p462 :rule cong :premises (@p461) :args (@t323)) % 0.44/0.69 (step @p463 :rule refl :args (@t256)) % 0.44/0.69 (step @p464 :rule refl :args (@t254)) % 0.44/0.69 (step @p465 :rule nary_cong :premises (@p464 @p463 @p462 @p378 @p377 @p327 @p460) :args (@t324)) % 0.44/0.69 (step @p466 :rule refl :args (@t325)) % 0.44/0.69 (step @p467 :rule cong :premises (@p466 @p465) :args ((=> @t325 @t324))) % 0.44/0.69 (assume-push @p479 @t325) % 0.44/0.69 (step @p469 :rule instantiate :premises (@p149) :args ((@list @t238 @t193 @t273))) % 0.44/0.69 (step-pop @p480 :rule scope :premises (@p469)) % 0.44/0.69 (step @p470 :rule process_scope :premises (@p480) :args (@t324)) % 0.44/0.69 (step @p472 :rule eq_resolve :premises (@p470 @p467)) % 0.44/0.69 (step @p473 :rule implies_elim :premises (@p472)) % 0.44/0.69 (step @p474 false :rule chain_m_resolution :premises (@p473 @p459 @p149) :args (false @t291 (@list @t321 @t325))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------