%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP029+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 : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:15:47 AM UTC 2026 % Result : Theorem 208.73s 208.97s % Output : Proof 208.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP029+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:18:21 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 208.73/208.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 208.73/208.97 --- Run --no-e-matching --full-saturate-quant at 6... % 208.73/208.97 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 208.73/208.97 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 208.73/208.97 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 208.73/208.97 --- Run --trigger-sel=max --full-saturate-quant at 15... % 208.73/208.97 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 208.73/208.97 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 208.73/208.97 --- Run --prenex-quant=none --full-saturate-quant at 30... % 208.73/208.97 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 208.73/208.97 --- Run --relevant-triggers --full-saturate-quant at 30... % 208.73/208.97 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 208.73/208.97 % SZS status Theorem % 208.73/208.97 % SZS output start Proof % 208.73/208.97 ( % 208.73/208.97 (declare-sort $$unsorted 0) % 208.73/208.97 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.k1_xboole_0 $$unsorted) % 208.73/208.97 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 208.73/208.97 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 208.73/208.97 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.u1_pre_topc (-> $$unsorted $$unsorted)) % 208.73/208.97 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.g1_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 208.73/208.97 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_pre_topc (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 208.73/208.97 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 208.73/208.97 (define @t1 () (@var "A" $$unsorted)) % 208.73/208.97 (define @t2 () (@var "C" $$unsorted)) % 208.73/208.97 (define @t3 () (tptp.v2_tsp_2 @t2 @t1)) % 208.73/208.97 (define @t4 () (@var "B" $$unsorted)) % 208.73/208.97 (define @t5 () (tptp.m2_tsp_1 @t4 @t2)) % 208.73/208.97 (define @t6 () (tptp.m2_tsp_1 @t2 @t1)) % 208.73/208.97 (define @t7 () (tptp.v1_pre_topc @t2)) % 208.73/208.97 (define @t8 () (and @t7 @t6 @t5 @t3)) % 208.73/208.97 (define @t9 () (@list @t2)) % 208.73/208.97 (define @t10 () (exists @t9 @t8)) % 208.73/208.97 (define @t11 () (tptp.m2_tsp_1 @t4 @t1)) % 208.73/208.97 (define @t12 () (tptp.v2_t_0topsp @t4)) % 208.73/208.97 (define @t13 () (tptp.v3_struct_0 @t4)) % 208.73/208.97 (define @t14 () (not @t13)) % 208.73/208.97 (define @t15 () (and @t14 @t12 @t11)) % 208.73/208.97 (define @t16 () (=> @t15 @t10)) % 208.73/208.97 (define @t17 () (@list @t4)) % 208.73/208.97 (define @t18 () (forall @t17 @t16)) % 208.73/208.97 (define @t19 () (tptp.l1_pre_topc @t1)) % 208.73/208.97 (define @t20 () (tptp.v2_pre_topc @t1)) % 208.73/208.97 (define @t21 () (tptp.v3_struct_0 @t1)) % 208.73/208.97 (define @t22 () (not @t21)) % 208.73/208.97 (define @t23 () (and @t22 @t20 @t19)) % 208.73/208.97 (define @t24 () (=> @t23 @t18)) % 208.73/208.97 (define @t25 () (@list @t1)) % 208.73/208.97 (define @t26 () (forall @t25 @t24)) % 208.73/208.97 (define @t27 () (not @t26)) % 208.73/208.97 (define @t28 () (tptp.u1_pre_topc @t1)) % 208.73/208.97 (define @t29 () (tptp.u1_struct_0 @t1)) % 208.73/208.97 (define @t30 () (tptp.v1_pre_topc @t1)) % 208.73/208.97 (define @t31 () (tptp.r2_hidden @t1 @t4)) % 208.73/208.97 (define @t32 () (@list @t1 @t4)) % 208.73/208.97 (define @t33 () (tptp.v1_xcmplx_0 @t4)) % 208.73/208.97 (define @t34 () (tptp.m1_subset_1 @t4 @t1)) % 208.73/208.97 (define @t35 () (tptp.v1_membered @t1)) % 208.73/208.97 (define @t36 () (tptp.v3_tdlat_3 @t1)) % 208.73/208.97 (define @t37 () (tptp.v2_tdlat_3 @t1)) % 208.73/208.97 (define @t38 () (not @t37)) % 208.73/208.97 (define @t39 () (tptp.v1_tdlat_3 @t1)) % 208.73/208.97 (define @t40 () (not @t39)) % 208.73/208.97 (define @t41 () (tptp.v3_realset2 @t1)) % 208.73/208.97 (define @t42 () (not @t41)) % 208.73/208.97 (define @t43 () (tptp.v2_t_0topsp @t1)) % 208.73/208.97 (define @t44 () (tptp.v1_borsuk_1 @t4 @t1)) % 208.73/208.97 (define @t45 () (tptp.v2_pre_topc @t4)) % 208.73/208.97 (define @t46 () (tptp.v2_tsp_2 @t4 @t1)) % 208.73/208.97 (define @t47 () (tptp.v2_tex_2 @t4 @t1)) % 208.73/208.97 (define @t48 () (and @t47 @t46)) % 208.73/208.97 (define @t49 () (tptp.m1_pre_topc @t4 @t1)) % 208.73/208.97 (define @t50 () (tptp.v1_xreal_0 @t4)) % 208.73/208.97 (define @t51 () (tptp.v2_membered @t1)) % 208.73/208.97 (define @t52 () (and @t14 @t12)) % 208.73/208.97 (define @t53 () (tptp.v1_rat_1 @t4)) % 208.73/208.97 (define @t54 () (tptp.v3_membered @t1)) % 208.73/208.97 (define @t55 () (not @t12)) % 208.73/208.97 (define @t56 () (not @t47)) % 208.73/208.97 (define @t57 () (not @t43)) % 208.73/208.97 (define @t58 () (and @t22 @t20 @t57 @t19)) % 208.73/208.97 (define @t59 () (tptp.v1_int_1 @t4)) % 208.73/208.97 (define @t60 () (tptp.v4_membered @t1)) % 208.73/208.97 (define @t61 () (tptp.v5_membered @t1)) % 208.73/208.97 (define @t62 () (tptp.v1_xboole_0 @t1)) % 208.73/208.97 (define @t63 () (tptp.v1_membered @t4)) % 208.73/208.97 (define @t64 () (tptp.k1_zfmisc_1 @t1)) % 208.73/208.97 (define @t65 () (tptp.m1_subset_1 @t4 @t64)) % 208.73/208.97 (define @t66 () (tptp.v2_membered @t4)) % 208.73/208.97 (define @t67 () (tptp.v3_membered @t4)) % 208.73/208.97 (define @t68 () (tptp.v4_membered @t4)) % 208.73/208.97 (define @t69 () (and @t20 @t19)) % 208.73/208.97 (define @t70 () (tptp.v4_pre_topc @t4 @t1)) % 208.73/208.97 (define @t71 () (tptp.v3_pre_topc @t4 @t1)) % 208.73/208.97 (define @t72 () (tptp.v1_xboole_0 @t4)) % 208.73/208.97 (define @t73 () (tptp.k1_zfmisc_1 @t29)) % 208.73/208.97 (define @t74 () (tptp.m1_subset_1 @t4 @t73)) % 208.73/208.97 (define @t75 () (and @t22 @t19)) % 208.73/208.97 (define @t76 () (tptp.v5_membered @t4)) % 208.73/208.97 (define @t77 () (tptp.v2_tops_1 @t4 @t1)) % 208.73/208.97 (define @t78 () (not @t46)) % 208.73/208.97 (define @t79 () (tptp.v3_tops_1 @t4 @t1)) % 208.73/208.97 (define @t80 () (tptp.v1_tex_3 @t4 @t1)) % 208.73/208.97 (define @t81 () (and @t45 @t78)) % 208.73/208.97 (define @t82 () (and @t45 @t56)) % 208.73/208.97 (define @t83 () (tptp.v1_tsep_1 @t4 @t1)) % 208.73/208.97 (define @t84 () (tptp.v5_tdlat_3 @t1)) % 208.73/208.97 (define @t85 () (tptp.v4_tdlat_3 @t1)) % 208.73/208.97 (define @t86 () (tptp.g1_pre_topc @t1 @t4)) % 208.73/208.97 (define @t87 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t64))) % 208.73/208.97 (define @t88 () (tptp.l1_struct_0 @t1)) % 208.73/208.97 (define @t89 () (tptp.l1_pre_topc @t4)) % 208.73/208.97 (define @t90 () (forall @t17 (=> @t49 @t89))) % 208.73/208.97 (define @t91 () (=> @t19 @t90)) % 208.73/208.97 (define @t92 () (forall @t25 @t91)) % 208.73/208.97 (define @t93 () (and @t22 @t88)) % 208.73/208.97 (define @t94 () (@var "D" $$unsorted)) % 208.73/208.97 (define @t95 () (tptp.u1_struct_0 @t4)) % 208.73/208.97 (define @t96 () (tptp.m1_subset_1 @t95 @t73)) % 208.73/208.97 (define @t97 () (forall @t17 (=> @t11 @t96))) % 208.73/208.97 (define @t98 () (=> @t75 @t97)) % 208.73/208.97 (define @t99 () (forall @t25 @t98)) % 208.73/208.97 (define @t100 () (not @t62)) % 208.73/208.97 (define @t101 () (not @t72)) % 208.73/208.97 (define @t102 () (tptp.v1_pre_topc @t4)) % 208.73/208.97 (define @t103 () (forall @t17 (= @t11 @t49))) % 208.73/208.97 (define @t104 () (forall @t25 (=> @t19 @t103))) % 208.73/208.97 (define @t105 () (tptp.u1_struct_0 @t2)) % 208.73/208.97 (define @t106 () (= @t4 @t105)) % 208.73/208.97 (define @t107 () (not (and @t3 @t106))) % 208.73/208.97 (define @t108 () (tptp.v3_struct_0 @t2)) % 208.73/208.97 (define @t109 () (not @t108)) % 208.73/208.97 (define @t110 () (and @t109 @t7 @t6)) % 208.73/208.97 (define @t111 () (forall @t9 (=> @t110 @t107))) % 208.73/208.97 (define @t112 () (tptp.v1_tsp_2 @t4 @t1)) % 208.73/208.97 (define @t113 () (and @t112 @t111)) % 208.73/208.97 (define @t114 () (not @t113)) % 208.73/208.97 (define @t115 () (and @t101 @t74)) % 208.73/208.97 (define @t116 () (=> @t115 @t114)) % 208.73/208.97 (define @t117 () (forall @t17 @t116)) % 208.73/208.97 (define @t118 () (=> @t23 @t117)) % 208.73/208.97 (define @t119 () (forall @t25 @t118)) % 208.73/208.97 (define @t120 () (tptp.v1_tsp_1 @t2 @t1)) % 208.73/208.97 (define @t121 () (= @t2 @t95)) % 208.73/208.97 (define @t122 () (=> @t121 (= @t120 @t12))) % 208.73/208.97 (define @t123 () (tptp.m1_subset_1 @t2 @t73)) % 208.73/208.97 (define @t124 () (=> @t123 @t122)) % 208.73/208.97 (define @t125 () (forall @t9 @t124)) % 208.73/208.97 (define @t126 () (and @t14 @t11)) % 208.73/208.97 (define @t127 () (=> @t126 @t125)) % 208.73/208.97 (define @t128 () (forall @t17 @t127)) % 208.73/208.97 (define @t129 () (=> @t75 @t128)) % 208.73/208.97 (define @t130 () (forall @t25 @t129)) % 208.73/208.97 (define @t131 () (tptp.m1_subset_1 @t1 @t4)) % 208.73/208.97 (define @t132 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t2))) % 208.73/208.97 (define @t133 () (@list @t1 @t4 @t2)) % 208.73/208.97 (define @t134 () (= (tptp.r1_tarski @t95 @t105) (tptp.m1_pre_topc @t4 @t2))) % 208.73/208.97 (define @t135 () (tptp.m1_pre_topc @t2 @t1)) % 208.73/208.97 (define @t136 () (forall @t9 (=> @t135 @t134))) % 208.73/208.97 (define @t137 () (=> @t49 @t136)) % 208.73/208.97 (define @t138 () (forall @t17 @t137)) % 208.73/208.97 (define @t139 () (=> @t69 @t138)) % 208.73/208.97 (define @t140 () (forall @t25 @t139)) % 208.73/208.97 (define @t141 () (not @t112)) % 208.73/208.97 (define @t142 () (and @t72 @t74)) % 208.73/208.97 (define @t143 () (forall @t17 (=> @t142 @t141))) % 208.73/208.97 (define @t144 () (=> @t23 @t143)) % 208.73/208.97 (define @t145 () (forall @t25 @t144)) % 208.73/208.97 (define @t146 () (tptp.v1_tsp_2 @t2 @t1)) % 208.73/208.97 (define @t147 () (tptp.r1_tarski @t4 @t2)) % 208.73/208.97 (define @t148 () (not (and @t147 @t146))) % 208.73/208.97 (define @t149 () (forall @t9 (=> @t123 @t148))) % 208.73/208.97 (define @t150 () (tptp.v1_tsp_1 @t4 @t1)) % 208.73/208.97 (define @t151 () (and @t150 @t149)) % 208.73/208.97 (define @t152 () (not @t151)) % 208.73/208.97 (define @t153 () (=> @t74 @t152)) % 208.73/208.97 (define @t154 () (forall @t17 @t153)) % 208.73/208.97 (define @t155 () (=> @t23 @t154)) % 208.73/208.97 (define @t156 () (forall @t25 @t155)) % 208.73/208.97 (define @t157 () (@var "BOUND_VARIABLE_8914" $$unsorted)) % 208.73/208.97 (define @t158 () (tptp.l1_pre_topc @t157)) % 208.73/208.97 (define @t159 () (not (tptp.m1_pre_topc @t157 @t1))) % 208.73/208.97 (define @t160 () (not @t19)) % 208.73/208.97 (define @t161 () (or @t159 @t158)) % 208.73/208.97 (define @t162 () (or @t160 @t161)) % 208.73/208.97 (define @t163 () (forall (@list @t1 @t157) @t162)) % 208.73/208.97 (define @t164 () (@list @t157)) % 208.73/208.97 (define @t165 () (forall @t164 @t162)) % 208.73/208.97 (define @t166 () (forall @t164 @t161)) % 208.73/208.97 (define @t167 () (@list @t4)) % 208.73/208.97 (define @t168 () (or @t160 @t166)) % 208.73/208.97 (define @t169 () (not @t49)) % 208.73/208.97 (define @t170 () (forall @t17 (or @t169 @t89))) % 208.73/208.97 (define @t171 () (not @t3)) % 208.73/208.97 (define @t172 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 208.73/208.97 (define @t173 () (not @t6)) % 208.73/208.97 (define @t174 () (not @t7)) % 208.73/208.97 (define @t175 () (not (forall @t9 (or @t174 @t173 (not (tptp.m2_tsp_1 @t172 @t2)) @t171)))) % 208.73/208.97 (define @t176 () (not (tptp.m2_tsp_1 @t172 @t1))) % 208.73/208.97 (define @t177 () (not (tptp.v2_t_0topsp @t172))) % 208.73/208.97 (define @t178 () (tptp.v3_struct_0 @t172)) % 208.73/208.97 (define @t179 () (not @t20)) % 208.73/208.97 (define @t180 () (or @t21 @t179 @t160 @t178 @t177 @t176 @t175)) % 208.73/208.97 (define @t181 () (@list @t1 @t172)) % 208.73/208.97 (define @t182 () (forall @t181 @t180)) % 208.73/208.97 (define @t183 () (@quantifiers_skolemize @t182 0)) % 208.73/208.97 (define @t184 () (@var "b_C" it_20_$$unsorted)) % 208.73/208.97 (define @t185 () (@const 0 (-> it_20_$$unsorted $$unsorted Bool))) % 208.73/208.97 (define @t186 () (@quantifiers_skolemize @t182 1)) % 208.73/208.97 (define @t187 () (@const 1 (-> $$unsorted it_20_$$unsorted))) % 208.73/208.97 (define @t188 () (_ @t187 @t186)) % 208.73/208.97 (define @t189 () (@const 2 (-> it_20_$$unsorted it_20_$$unsorted Bool))) % 208.73/208.97 (define @t190 () (@const 3 (-> it_20_$$unsorted it_20_$$unsorted))) % 208.73/208.97 (define @t191 () (_ @t190 (_ @t187 @t183))) % 208.73/208.97 (define @t192 () (@const 4 (-> it_20_$$unsorted it_20_$$unsorted Bool))) % 208.73/208.97 (define @t193 () (@list @t184)) % 208.73/208.97 (define @t194 () (forall @t193 (or (not (_ @t192 @t184 @t191)) (not (_ @t189 @t188 @t184)) (not (_ @t185 @t184 @t183))))) % 208.73/208.97 (define @t195 () (@quantifiers_skolemize @t194 0)) % 208.73/208.97 (define @t196 () (_ @t187 @t2)) % 208.73/208.97 (define @t197 () (not (tptp.v2_tsp_2 @t2 @t183))) % 208.73/208.97 (define @t198 () (not (tptp.m2_tsp_1 @t2 @t183))) % 208.73/208.97 (define @t199 () (forall @t9 (or @t108 @t174 @t198 @t197 (not (= @t196 @t195))))) % 208.73/208.97 (define @t200 () (@quantifiers_skolemize @t199 0)) % 208.73/208.97 (define @t201 () (@list @t183 @t200)) % 208.73/208.97 (define @t202 () (@var "BOUND_VARIABLE_9282" $$unsorted)) % 208.73/208.97 (define @t203 () (= (tptp.m2_tsp_1 @t202 @t1) (tptp.m1_pre_topc @t202 @t1))) % 208.73/208.97 (define @t204 () (or @t160 @t203)) % 208.73/208.97 (define @t205 () (@list @t202)) % 208.73/208.97 (define @t206 () (forall @t205 @t204)) % 208.73/208.97 (define @t207 () (forall @t205 @t203)) % 208.73/208.97 (define @t208 () (or @t160 @t207)) % 208.73/208.97 (define @t209 () (or @t178 @t177 @t176 @t175)) % 208.73/208.97 (define @t210 () (or @t21 @t179 @t160 @t209)) % 208.73/208.97 (define @t211 () (forall @t181 @t210)) % 208.73/208.97 (define @t212 () (@list @t172)) % 208.73/208.97 (define @t213 () (forall @t212 @t210)) % 208.73/208.97 (define @t214 () (forall @t212 @t209)) % 208.73/208.97 (define @t215 () (or @t21 @t179 @t160 @t214)) % 208.73/208.97 (define @t216 () (not @t5)) % 208.73/208.97 (define @t217 () (or @t174 @t173 @t216 @t171)) % 208.73/208.97 (define @t218 () (not (forall @t9 @t217))) % 208.73/208.97 (define @t219 () (not @t11)) % 208.73/208.97 (define @t220 () (or @t13 @t55 @t219 @t218)) % 208.73/208.97 (define @t221 () (forall @t17 @t220)) % 208.73/208.97 (define @t222 () (or @t21 @t179 @t160 @t221)) % 208.73/208.97 (define @t223 () (or @t21 @t179 @t160)) % 208.73/208.97 (define @t224 () (not @t22)) % 208.73/208.97 (define @t225 () (or @t224 @t179 @t160)) % 208.73/208.97 (define @t226 () (or @t179 @t160)) % 208.73/208.97 (define @t227 () (not @t69)) % 208.73/208.97 (define @t228 () (not @t23)) % 208.73/208.97 (define @t229 () (not @t14)) % 208.73/208.97 (define @t230 () (or @t229 @t55 @t219)) % 208.73/208.97 (define @t231 () (forall @t9 (not @t8))) % 208.73/208.97 (define @t232 () (not @t231)) % 208.73/208.97 (define @t233 () (tptp.l1_pre_topc @t183)) % 208.73/208.97 (define @t234 () (forall @t9 (or @t174 @t198 (not (tptp.m2_tsp_1 @t186 @t2)) @t197))) % 208.73/208.97 (define @t235 () (not @t234)) % 208.73/208.97 (define @t236 () (tptp.m2_tsp_1 @t186 @t183)) % 208.73/208.97 (define @t237 () (not @t236)) % 208.73/208.97 (define @t238 () (tptp.v2_t_0topsp @t186)) % 208.73/208.97 (define @t239 () (not @t238)) % 208.73/208.97 (define @t240 () (tptp.v3_struct_0 @t186)) % 208.73/208.97 (define @t241 () (not @t233)) % 208.73/208.97 (define @t242 () (tptp.v2_pre_topc @t183)) % 208.73/208.97 (define @t243 () (not @t242)) % 208.73/208.97 (define @t244 () (tptp.v3_struct_0 @t183)) % 208.73/208.97 (define @t245 () (or @t244 @t243 @t241 @t240 @t239 @t237 @t235)) % 208.73/208.97 (define @t246 () (@list true)) % 208.73/208.97 (define @t247 () (@list @t245)) % 208.73/208.97 (define @t248 () (tptp.m1_pre_topc @t200 @t183)) % 208.73/208.97 (define @t249 () (tptp.m2_tsp_1 @t200 @t183)) % 208.73/208.97 (define @t250 () (= @t249 @t248)) % 208.73/208.97 (define @t251 () (or @t241 @t250)) % 208.73/208.97 (define @t252 () (@list false false)) % 208.73/208.97 (define @t253 () (@var "b_BOUND_VARIABLE_9313" it_20_$$unsorted)) % 208.73/208.97 (define @t254 () (_ @t190 (_ @t187 @t1))) % 208.73/208.97 (define @t255 () (@const 5 (-> it_20_$$unsorted Bool))) % 208.73/208.97 (define @t256 () (forall (@list @t1 @t253) (or @t21 @t179 @t160 (_ @t255 @t253) (not (_ @t192 @t253 @t254)) (not (_ @t185 @t253 @t1)) (not (forall @t9 (or @t108 @t174 @t173 @t171 (not (= @t253 @t196)))))))) % 208.73/208.97 (define @t257 () (@var "BOUND_VARIABLE_9313" $$unsorted)) % 208.73/208.97 (define @t258 () (not (tptp.v1_tsp_2 @t257 @t1))) % 208.73/208.97 (define @t259 () (not (tptp.m1_subset_1 @t257 @t73))) % 208.73/208.97 (define @t260 () (tptp.v1_xboole_0 @t257)) % 208.73/208.97 (define @t261 () (@list @t1 @t257)) % 208.73/208.97 (define @t262 () (not (= @t257 @t105))) % 208.73/208.97 (define @t263 () (or @t108 @t174 @t173 @t171 @t262)) % 208.73/208.97 (define @t264 () (forall @t9 @t263)) % 208.73/208.97 (define @t265 () (not @t264)) % 208.73/208.97 (define @t266 () (or @t21 @t179 @t160 @t260 @t259 @t258 @t265)) % 208.73/208.97 (define @t267 () (or @t260 @t259 @t258 @t265)) % 208.73/208.97 (define @t268 () (or @t21 @t179 @t160 @t267)) % 208.73/208.97 (define @t269 () (forall @t261 @t268)) % 208.73/208.97 (define @t270 () (@list @t257)) % 208.73/208.97 (define @t271 () (forall @t270 @t268)) % 208.73/208.97 (define @t272 () (forall @t270 @t267)) % 208.73/208.97 (define @t273 () (or @t21 @t179 @t160 @t272)) % 208.73/208.97 (define @t274 () (not @t106)) % 208.73/208.97 (define @t275 () (or @t108 @t174 @t173 @t171 @t274)) % 208.73/208.97 (define @t276 () (forall @t9 @t275)) % 208.73/208.97 (define @t277 () (not @t276)) % 208.73/208.97 (define @t278 () (not @t74)) % 208.73/208.97 (define @t279 () (or @t72 @t278 @t141 @t277)) % 208.73/208.97 (define @t280 () (forall @t17 @t279)) % 208.73/208.97 (define @t281 () (or @t21 @t179 @t160 @t280)) % 208.73/208.97 (define @t282 () (not (and @t112 @t276))) % 208.73/208.97 (define @t283 () (not @t109)) % 208.73/208.97 (define @t284 () (or @t283 @t174 @t173)) % 208.73/208.97 (define @t285 () (not (= @t195 @t196))) % 208.73/208.97 (define @t286 () (or @t108 @t174 @t198 @t197 @t285)) % 208.73/208.97 (define @t287 () (forall @t9 @t286)) % 208.73/208.97 (define @t288 () (not @t287)) % 208.73/208.97 (define @t289 () (_ @t185 @t195 @t183)) % 208.73/208.97 (define @t290 () (not @t289)) % 208.73/208.97 (define @t291 () (_ @t192 @t195 @t191)) % 208.73/208.97 (define @t292 () (not @t291)) % 208.73/208.97 (define @t293 () (_ @t255 @t195)) % 208.73/208.97 (define @t294 () (or @t244 @t243 @t241 @t293 @t292 @t290 @t288)) % 208.73/208.97 (define @t295 () (@list @t183 @t195)) % 208.73/208.97 (define @t296 () (not @t199)) % 208.73/208.97 (define @t297 () (or @t244 @t243 @t241 @t293 @t292 @t290 @t296)) % 208.73/208.97 (define @t298 () (@var "b_BOUND_VARIABLE_9449" it_20_$$unsorted)) % 208.73/208.97 (define @t299 () (@var "BOUND_VARIABLE_9449" $$unsorted)) % 208.73/208.97 (define @t300 () (not (tptp.v1_tsp_2 @t299 @t1))) % 208.73/208.97 (define @t301 () (not (tptp.m1_subset_1 @t299 @t73))) % 208.73/208.97 (define @t302 () (not (tptp.v1_xboole_0 @t299))) % 208.73/208.97 (define @t303 () (or @t21 @t179 @t160 @t302 @t301 @t300)) % 208.73/208.97 (define @t304 () (@list @t1 @t299)) % 208.73/208.97 (define @t305 () (or @t302 @t301 @t300)) % 208.73/208.97 (define @t306 () (or @t21 @t179 @t160 @t305)) % 208.73/208.97 (define @t307 () (forall @t304 @t306)) % 208.73/208.97 (define @t308 () (@list @t299)) % 208.73/208.97 (define @t309 () (forall @t308 @t306)) % 208.73/208.97 (define @t310 () (forall @t308 @t305)) % 208.73/208.97 (define @t311 () (or @t21 @t179 @t160 @t310)) % 208.73/208.97 (define @t312 () (or @t101 @t278 @t141)) % 208.73/208.97 (define @t313 () (forall @t17 @t312)) % 208.73/208.97 (define @t314 () (or @t21 @t179 @t160 @t313)) % 208.73/208.97 (define @t315 () (@var "b_BOUND_VARIABLE_9495" it_20_$$unsorted)) % 208.73/208.97 (define @t316 () (@const 6 (-> it_20_$$unsorted $$unsorted Bool))) % 208.73/208.97 (define @t317 () (not @t146)) % 208.73/208.97 (define @t318 () (@var "BOUND_VARIABLE_9495" $$unsorted)) % 208.73/208.97 (define @t319 () (not @t123)) % 208.73/208.97 (define @t320 () (not (forall @t9 (or @t319 (not (tptp.r1_tarski @t318 @t2)) @t317)))) % 208.73/208.97 (define @t321 () (not (tptp.v1_tsp_1 @t318 @t1))) % 208.73/208.97 (define @t322 () (not (tptp.m1_subset_1 @t318 @t73))) % 208.73/208.97 (define @t323 () (or @t21 @t179 @t160 @t322 @t321 @t320)) % 208.73/208.97 (define @t324 () (@list @t1 @t318)) % 208.73/208.97 (define @t325 () (or @t322 @t321 @t320)) % 208.73/208.97 (define @t326 () (or @t21 @t179 @t160 @t325)) % 208.73/208.97 (define @t327 () (forall @t324 @t326)) % 208.73/208.97 (define @t328 () (@list @t318)) % 208.73/208.97 (define @t329 () (forall @t328 @t326)) % 208.73/208.97 (define @t330 () (forall @t328 @t325)) % 208.73/208.97 (define @t331 () (or @t21 @t179 @t160 @t330)) % 208.73/208.97 (define @t332 () (not @t147)) % 208.73/208.97 (define @t333 () (or @t319 @t332 @t317)) % 208.73/208.97 (define @t334 () (forall @t9 @t333)) % 208.73/208.97 (define @t335 () (not @t334)) % 208.73/208.97 (define @t336 () (not @t150)) % 208.73/208.97 (define @t337 () (or @t278 @t336 @t335)) % 208.73/208.97 (define @t338 () (forall @t17 @t337)) % 208.73/208.97 (define @t339 () (or @t21 @t179 @t160 @t338)) % 208.73/208.97 (define @t340 () (not (and @t150 @t334))) % 208.73/208.97 (define @t341 () (@var "BOUND_VARIABLE_9365" $$unsorted)) % 208.73/208.97 (define @t342 () (_ @t187 @t341)) % 208.73/208.97 (define @t343 () (tptp.v2_t_0topsp @t341)) % 208.73/208.97 (define @t344 () (not (tptp.m2_tsp_1 @t341 @t1))) % 208.73/208.97 (define @t345 () (tptp.v3_struct_0 @t341)) % 208.73/208.97 (define @t346 () (@list @t1 @t341)) % 208.73/208.97 (define @t347 () (tptp.u1_struct_0 @t341)) % 208.73/208.97 (define @t348 () (= @t343 (tptp.v1_tsp_1 @t347 @t1))) % 208.73/208.97 (define @t349 () (not (tptp.m1_subset_1 @t347 @t73))) % 208.73/208.97 (define @t350 () (or @t21 @t160 @t345 @t344 @t349 @t348)) % 208.73/208.97 (define @t351 () (or @t345 @t344 @t349 @t348)) % 208.73/208.97 (define @t352 () (or @t21 @t160 @t351)) % 208.73/208.97 (define @t353 () (forall @t346 @t352)) % 208.73/208.97 (define @t354 () (@list @t341)) % 208.73/208.97 (define @t355 () (forall @t354 @t352)) % 208.73/208.97 (define @t356 () (forall @t354 @t351)) % 208.73/208.97 (define @t357 () (or @t21 @t160 @t356)) % 208.73/208.97 (define @t358 () (= @t12 (tptp.v1_tsp_1 @t95 @t1))) % 208.73/208.97 (define @t359 () (not @t96)) % 208.73/208.97 (define @t360 () (or @t13 @t219 @t359 @t358)) % 208.73/208.97 (define @t361 () (forall @t17 @t360)) % 208.73/208.97 (define @t362 () (or @t21 @t160 @t361)) % 208.73/208.97 (define @t363 () (or @t21 @t160)) % 208.73/208.97 (define @t364 () (not @t75)) % 208.73/208.97 (define @t365 () (or @t359 @t358)) % 208.73/208.97 (define @t366 () (not (= @t95 @t95))) % 208.73/208.97 (define @t367 () (or @t359 @t366 @t358)) % 208.73/208.97 (define @t368 () (= @t12 @t120)) % 208.73/208.97 (define @t369 () (not @t121)) % 208.73/208.97 (define @t370 () (or @t369 @t319 @t369 @t368)) % 208.73/208.97 (define @t371 () (or @t319 @t369 @t368)) % 208.73/208.97 (define @t372 () (=> @t121 @t368)) % 208.73/208.97 (define @t373 () (@list @t183 @t186)) % 208.73/208.97 (define @t374 () (@var "BOUND_VARIABLE_9007" $$unsorted)) % 208.73/208.97 (define @t375 () (not (tptp.m2_tsp_1 @t374 @t1))) % 208.73/208.97 (define @t376 () (@list @t1 @t374)) % 208.73/208.97 (define @t377 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t374) @t73)) % 208.73/208.97 (define @t378 () (or @t21 @t160 @t375 @t377)) % 208.73/208.97 (define @t379 () (or @t375 @t377)) % 208.73/208.97 (define @t380 () (or @t21 @t160 @t379)) % 208.73/208.97 (define @t381 () (forall @t376 @t380)) % 208.73/208.97 (define @t382 () (@list @t374)) % 208.73/208.97 (define @t383 () (forall @t382 @t380)) % 208.73/208.97 (define @t384 () (forall @t382 @t379)) % 208.73/208.97 (define @t385 () (or @t21 @t160 @t384)) % 208.73/208.97 (define @t386 () (forall @t17 (or @t219 @t96))) % 208.73/208.97 (define @t387 () (or @t21 @t160 @t386)) % 208.73/208.97 (define @t388 () (_ @t192 @t188 @t191)) % 208.73/208.97 (define @t389 () (or @t244 @t241 @t237 @t388)) % 208.73/208.97 (define @t390 () (_ @t316 @t188 @t183)) % 208.73/208.97 (define @t391 () (= @t238 @t390)) % 208.73/208.97 (define @t392 () (not @t388)) % 208.73/208.97 (define @t393 () (or @t244 @t241 @t240 @t237 @t392 @t391)) % 208.73/208.97 (define @t394 () (not @t194)) % 208.73/208.97 (define @t395 () (not @t390)) % 208.73/208.97 (define @t396 () (or @t244 @t243 @t241 @t392 @t395 @t394)) % 208.73/208.97 (define @t397 () (@list true false false false false false)) % 208.73/208.97 (define @t398 () (_ @t189 @t188 @t195)) % 208.73/208.97 (define @t399 () (not @t398)) % 208.73/208.97 (define @t400 () (or @t292 @t399 @t290)) % 208.73/208.97 (define @t401 () (@list @t400)) % 208.73/208.97 (define @t402 () (not @t293)) % 208.73/208.97 (define @t403 () (or @t244 @t243 @t241 @t402 @t292 @t290)) % 208.73/208.97 (define @t404 () (_ @t187 @t200)) % 208.73/208.97 (define @t405 () (= @t195 @t404)) % 208.73/208.97 (define @t406 () (not @t405)) % 208.73/208.97 (define @t407 () (tptp.v2_tsp_2 @t200 @t183)) % 208.73/208.97 (define @t408 () (not @t407)) % 208.73/208.97 (define @t409 () (not @t249)) % 208.73/208.97 (define @t410 () (tptp.v1_pre_topc @t200)) % 208.73/208.97 (define @t411 () (not @t410)) % 208.73/208.97 (define @t412 () (tptp.v3_struct_0 @t200)) % 208.73/208.97 (define @t413 () (or @t412 @t411 @t409 @t408 @t406)) % 208.73/208.97 (define @t414 () (not @t413)) % 208.73/208.97 (define @t415 () (not (= @t404 @t195))) % 208.73/208.97 (define @t416 () (or @t412 @t411 @t409 @t408 @t415)) % 208.73/208.97 (define @t417 () (not @t416)) % 208.73/208.97 (define @t418 () (@list @t413)) % 208.73/208.97 (define @t419 () (tptp.l1_pre_topc @t200)) % 208.73/208.97 (define @t420 () (not @t248)) % 208.73/208.97 (define @t421 () (or @t241 @t420 @t419)) % 208.73/208.97 (define @t422 () (@var "BOUND_VARIABLE_9423" $$unsorted)) % 208.73/208.97 (define @t423 () (@var "BOUND_VARIABLE_9421" $$unsorted)) % 208.73/208.97 (define @t424 () (tptp.m1_pre_topc @t423 @t422)) % 208.73/208.97 (define @t425 () (not (tptp.m1_pre_topc @t422 @t1))) % 208.73/208.97 (define @t426 () (not (tptp.m1_pre_topc @t423 @t1))) % 208.73/208.97 (define @t427 () (@list @t1 @t423 @t422)) % 208.73/208.97 (define @t428 () (= (tptp.r1_tarski (tptp.u1_struct_0 @t423) (tptp.u1_struct_0 @t422)) @t424)) % 208.73/208.97 (define @t429 () (or @t179 @t160 @t426 @t425 @t428)) % 208.73/208.97 (define @t430 () (or @t426 @t425 @t428)) % 208.73/208.97 (define @t431 () (or @t179 @t160 @t430)) % 208.73/208.97 (define @t432 () (forall @t427 @t431)) % 208.73/208.97 (define @t433 () (@list @t423 @t422)) % 208.73/208.97 (define @t434 () (forall @t433 @t431)) % 208.73/208.97 (define @t435 () (forall @t433 @t430)) % 208.73/208.97 (define @t436 () (@var "BOUND_VARIABLE_9403" $$unsorted)) % 208.73/208.97 (define @t437 () (or @t179 @t160 @t435)) % 208.73/208.97 (define @t438 () (= (tptp.r1_tarski @t95 (tptp.u1_struct_0 @t436)) (tptp.m1_pre_topc @t4 @t436))) % 208.73/208.97 (define @t439 () (not (tptp.m1_pre_topc @t436 @t1))) % 208.73/208.97 (define @t440 () (or @t169 @t439 @t438)) % 208.73/208.97 (define @t441 () (@list @t4 @t436)) % 208.73/208.97 (define @t442 () (forall @t441 @t440)) % 208.73/208.97 (define @t443 () (or @t179 @t160 @t442)) % 208.73/208.97 (define @t444 () (or @t439 @t438)) % 208.73/208.97 (define @t445 () (or @t169 @t444)) % 208.73/208.97 (define @t446 () (forall @t441 @t445)) % 208.73/208.97 (define @t447 () (@list @t436)) % 208.73/208.97 (define @t448 () (forall @t447 @t445)) % 208.73/208.97 (define @t449 () (forall @t447 @t444)) % 208.73/208.97 (define @t450 () (or @t169 @t449)) % 208.73/208.97 (define @t451 () (forall @t9 (or (not @t135) @t134))) % 208.73/208.97 (define @t452 () (tptp.m1_pre_topc @t186 @t183)) % 208.73/208.97 (define @t453 () (= @t236 @t452)) % 208.73/208.97 (define @t454 () (or @t241 @t453)) % 208.73/208.97 (define @t455 () (_ @t189 @t188 @t404)) % 208.73/208.97 (define @t456 () (tptp.m1_pre_topc @t186 @t200)) % 208.73/208.97 (define @t457 () (= @t456 @t455)) % 208.73/208.97 (define @t458 () (not @t452)) % 208.73/208.97 (define @t459 () (or @t243 @t241 @t458 @t420 @t457)) % 208.73/208.97 (define @t460 () (tptp.m2_tsp_1 @t186 @t200)) % 208.73/208.97 (define @t461 () (not @t460)) % 208.73/208.97 (define @t462 () (or @t411 @t409 @t461 @t408)) % 208.73/208.97 (define @t463 () (= @t460 @t456)) % 208.73/208.97 (define @t464 () (not @t463)) % 208.73/208.97 (define @t465 () (not @t419)) % 208.73/208.97 (define @t466 () (or @t465 @t463)) % 208.73/208.97 (assume @p1 @t27) % 208.73/208.97 (assume @p2 (forall @t25 (=> @t19 (=> @t30 (= @t1 (tptp.g1_pre_topc @t29 @t28)))))) % 208.73/208.97 (assume @p3 (forall @t32 (=> @t31 (not (tptp.r2_hidden @t4 @t1))))) % 208.73/208.97 (assume @p4 (forall @t25 (=> @t35 (forall @t17 (=> @t34 @t33))))) % 208.73/208.97 (assume @p5 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t40 @t43) (and @t22 @t42 @t20 @t40 @t38 (not @t36)))))) % 208.73/208.97 (assume @p6 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> @t48 (and @t45 (not @t44)))))))) % 208.73/208.97 (assume @p7 (forall @t25 (=> @t51 (forall @t17 (=> @t34 (and @t33 @t50)))))) % 208.73/208.97 (assume @p8 (forall @t25 (=> (and @t22 @t20 @t43 @t19) (forall @t17 (=> @t49 (=> @t14 @t52)))))) % 208.73/208.97 (assume @p9 (forall @t25 (=> @t54 (forall @t17 (=> @t34 (and @t33 @t50 @t53)))))) % 208.73/208.97 (assume @p10 (forall @t25 (=> @t58 (forall @t17 (=> @t49 (=> (and @t14 @t56) (and @t14 (not (tptp.v3_realset2 @t4)) @t55))))))) % 208.73/208.97 (assume @p11 (forall @t25 (=> @t60 (forall @t17 (=> @t34 (and @t33 @t50 @t59 @t53)))))) % 208.73/208.97 (assume @p12 (forall @t25 (=> @t58 (forall @t17 (=> @t49 (=> @t52 (and @t14 @t47))))))) % 208.73/208.97 (assume @p13 (forall @t25 (=> @t61 (forall @t17 (=> @t34 (and @t33 (tptp.v4_ordinal2 @t4) @t50 @t59 @t53)))))) % 208.73/208.97 (assume @p14 (forall @t25 (=> @t62 (and @t35 @t51 @t54 @t60 @t61)))) % 208.73/208.97 (assume @p15 (forall @t25 (=> @t35 (forall @t17 (=> @t65 @t63))))) % 208.73/208.97 (assume @p16 (forall @t25 (=> @t51 (forall @t17 (=> @t65 (and @t63 @t66)))))) % 208.73/208.97 (assume @p17 (forall @t25 (=> @t54 (forall @t17 (=> @t65 (and @t63 @t66 @t67)))))) % 208.73/208.97 (assume @p18 (forall @t25 (=> @t60 (forall @t17 (=> @t65 (and @t63 @t66 @t67 @t68)))))) % 208.73/208.97 (assume @p19 (forall @t25 (=> @t61 @t60))) % 208.73/208.97 (assume @p20 (forall @t25 (=> @t69 (forall @t17 (=> @t49 @t45))))) % 208.73/208.97 (assume @p21 (forall @t25 (=> @t69 (forall @t17 (=> @t74 (=> @t72 (and @t71 @t70))))))) % 208.73/208.97 (assume @p22 (forall @t25 (=> @t19 (=> (and @t22 @t41) (and @t22 @t43))))) % 208.73/208.97 (assume @p23 (forall @t25 (=> @t75 (forall @t17 (=> @t49 (=> (and @t14 @t46) @t52)))))) % 208.73/208.97 (assume @p24 (forall @t25 (=> @t61 (forall @t17 (=> @t65 (and @t63 @t66 @t67 @t68 @t76)))))) % 208.73/208.97 (assume @p25 (forall @t25 (=> @t60 @t54))) % 208.73/208.97 (assume @p26 (forall @t25 (=> @t19 (forall @t17 (=> @t74 (=> @t72 @t77)))))) % 208.73/208.97 (assume @p27 (forall @t25 (=> @t19 (=> (and @t22 @t57) (and @t22 @t42))))) % 208.73/208.97 (assume @p28 (forall @t25 (=> @t75 (forall @t17 (=> @t49 (=> (and @t14 @t55) (and @t14 @t78))))))) % 208.73/208.97 (assume @p29 (forall @t25 (=> @t54 @t51))) % 208.73/208.97 (assume @p30 (forall @t25 (=> @t69 (forall @t17 (=> @t74 (=> @t72 @t79)))))) % 208.73/208.97 (assume @p31 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t39) (and @t22 @t20 @t43))))) % 208.73/208.97 (assume @p32 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> @t46 (and @t45 @t80))))))) % 208.73/208.97 (assume @p33 (forall @t25 (=> @t51 @t35))) % 208.73/208.97 (assume @p34 (forall @t25 (=> @t69 (forall @t17 (=> @t74 (=> @t79 @t77)))))) % 208.73/208.97 (assume @p35 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t57) (and @t22 @t42 @t20 @t40))))) % 208.73/208.97 (assume @p36 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> (not @t80) @t81)))))) % 208.73/208.97 (assume @p37 (forall @t25 (=> @t69 (forall @t17 (=> @t74 (=> (and @t70 @t77) (and @t77 @t79))))))) % 208.73/208.97 (assume @p38 (forall @t25 (=> @t19 (=> (and @t22 @t42 @t20 @t37) (and @t22 @t42 @t20 @t57))))) % 208.73/208.97 (assume @p39 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> (and @t83 @t46) @t82)))))) % 208.73/208.97 (assume @p40 (forall @t25 (=> @t69 (forall @t17 (=> @t74 (=> (and @t71 @t79) (and @t72 @t71 @t70 @t63 @t66 @t67 @t68 @t76 @t77 @t79))))))) % 208.73/208.97 (assume @p41 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t37 @t43) (and @t22 @t41 @t20 @t39 @t37 @t36 @t85 @t84 @t43))))) % 208.73/208.97 (assume @p42 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> (and @t83 @t47) @t81)))))) % 208.73/208.97 (assume @p43 (forall @t25 (=> @t19 (=> (and @t22 @t42 @t20 @t43) (and @t22 @t42 @t20 @t38))))) % 208.73/208.97 (assume @p44 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> @t48 (and @t45 (not @t83)))))))) % 208.73/208.97 (assume @p45 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t36 @t43) (and @t22 @t20 @t39 @t36 @t85 @t84 @t43))))) % 208.73/208.97 (assume @p46 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> (and @t44 @t46) @t82)))))) % 208.73/208.97 (assume @p47 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t40 @t36) (and @t22 @t42 @t20 @t40 @t57))))) % 208.73/208.97 (assume @p48 (forall @t25 (=> @t23 (forall @t17 (=> @t49 (=> (and @t47 @t44) @t81)))))) % 208.73/208.97 (assume @p49 (forall @t32 (=> @t87 (and (tptp.v1_pre_topc @t86) (tptp.l1_pre_topc @t86))))) % 208.73/208.97 (assume @p50 true) % 208.73/208.97 (assume @p51 (forall @t25 (=> @t19 @t88))) % 208.73/208.97 (assume @p52 @t92) % 208.73/208.97 (assume @p53 (forall @t25 (=> @t19 (forall @t17 (=> @t11 @t89))))) % 208.73/208.97 (assume @p54 (forall @t25 (=> @t19 (tptp.m1_subset_1 @t28 (tptp.k1_zfmisc_1 @t73))))) % 208.73/208.97 (assume @p55 (exists @t25 @t19)) % 208.73/208.97 (assume @p56 (exists @t25 @t88)) % 208.73/208.97 (assume @p57 (forall @t25 (=> @t19 (exists @t17 @t49)))) % 208.73/208.97 (assume @p58 (forall @t25 (exists @t17 @t34))) % 208.73/208.97 (assume @p59 (forall @t25 (=> @t19 (exists @t17 @t11)))) % 208.73/208.97 (assume @p60 (forall @t25 (=> @t93 (not (tptp.v1_xboole_0 @t29))))) % 208.73/208.97 (assume @p61 (forall @t25 (not (tptp.v1_xboole_0 @t64)))) % 208.73/208.97 (assume @p62 (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))) % 208.73/208.97 (assume @p63 (forall @t32 (=> @t87 (forall (@list @t2 @t94) (=> (= @t86 (tptp.g1_pre_topc @t2 @t94)) (and (= @t1 @t2) (= @t4 @t94))))))) % 208.73/208.97 (assume @p64 @t99) % 208.73/208.97 (assume @p65 (exists @t25 (and @t100 @t35 @t51 @t54 @t60 @t61))) % 208.73/208.97 (assume @p66 (exists @t25 (and @t19 @t30))) % 208.73/208.97 (assume @p67 (forall @t25 (=> @t100 (exists @t17 (and @t65 @t101))))) % 208.73/208.97 (assume @p68 (forall @t25 (=> @t69 (exists @t17 (and @t74 @t71))))) % 208.73/208.97 (assume @p69 (exists @t25 (and @t19 @t22 @t30 @t20 @t43))) % 208.73/208.97 (assume @p70 (exists @t25 (and @t19 @t22 @t30 @t20))) % 208.73/208.97 (assume @p71 (forall @t25 (exists @t17 (and @t65 @t72)))) % 208.73/208.97 (assume @p72 (forall @t25 (=> @t69 (exists @t17 (and @t74 @t71 @t70))))) % 208.73/208.97 (assume @p73 (exists @t25 (and @t19 @t22 @t42 @t30 @t20 @t57))) % 208.73/208.97 (assume @p74 (forall @t25 (=> @t69 (exists @t17 (and @t49 @t102 @t45 @t44))))) % 208.73/208.97 (assume @p75 (forall @t25 (=> @t19 (exists @t17 (and @t49 @t102))))) % 208.73/208.97 (assume @p76 (exists @t25 (and @t88 @t22))) % 208.73/208.97 (assume @p77 (forall @t25 (=> @t23 (exists @t17 (and @t74 @t101 @t71 @t70))))) % 208.73/208.97 (assume @p78 (exists @t25 (and @t19 @t22 @t42 @t30 @t20 @t38 @t43))) % 208.73/208.97 (assume @p79 (forall @t25 (=> @t23 (exists @t17 (and @t49 @t14 @t102 @t45 @t44))))) % 208.73/208.97 (assume @p80 (forall @t25 (=> @t75 (exists @t17 (and @t49 @t14 @t102))))) % 208.73/208.97 (assume @p81 (forall @t25 (=> @t19 (exists @t17 (and @t74 @t72 @t63 @t66 @t67 @t68 @t76 @t77))))) % 208.73/208.97 (assume @p82 (exists @t25 (and @t19 @t22 @t42 @t30 @t20 @t40 @t57))) % 208.73/208.97 (assume @p83 (forall @t25 (=> @t69 (exists @t17 (and @t49 @t102 @t45))))) % 208.73/208.97 (assume @p84 (forall @t25 (=> @t93 (exists @t17 (and @t74 @t101))))) % 208.73/208.97 (assume @p85 (forall @t25 (=> @t69 (exists @t17 (and @t74 @t72 @t71 @t70 @t63 @t66 @t67 @t68 @t76 @t77 @t79))))) % 208.73/208.97 (assume @p86 (forall @t25 (=> @t75 (exists @t17 (and @t49 @t14 @t102 @t12))))) % 208.73/208.97 (assume @p87 (forall @t25 (=> @t69 (exists @t17 (and @t74 @t70))))) % 208.73/208.97 (assume @p88 (forall @t25 (=> (and @t22 @t42 @t20 @t19) (exists @t17 (and @t49 @t14 @t102 @t47 @t12))))) % 208.73/208.97 (assume @p89 (forall @t25 (=> @t23 (exists @t17 (and @t74 @t101 @t70))))) % 208.73/208.97 (assume @p90 (forall @t25 (=> @t58 (exists @t17 (and @t49 @t102 @t55))))) % 208.73/208.97 (assume @p91 @t104) % 208.73/208.97 (assume @p92 (forall @t32 (tptp.r1_tarski @t1 @t1))) % 208.73/208.97 (assume @p93 @t119) % 208.73/208.97 (assume @p94 @t130) % 208.73/208.97 (assume @p95 (forall @t32 (=> @t31 @t131))) % 208.73/208.97 (assume @p96 (forall @t32 (=> @t131 (or @t72 @t31)))) % 208.73/208.97 (assume @p97 (forall @t32 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t1 @t4)))) % 208.73/208.97 (assume @p98 (forall @t133 (=> (and @t31 @t132) (tptp.m1_subset_1 @t1 @t2)))) % 208.73/208.97 (assume @p99 @t140) % 208.73/208.97 (assume @p100 @t145) % 208.73/208.97 (assume @p101 (forall @t133 (not (and @t31 @t132 (tptp.v1_xboole_0 @t2))))) % 208.73/208.97 (assume @p102 (forall @t25 (=> @t62 (= @t1 tptp.k1_xboole_0)))) % 208.73/208.97 (assume @p103 (forall @t32 (not (and @t31 @t72)))) % 208.73/208.97 (assume @p104 (forall @t32 (not (and @t62 (not (= @t1 @t4)) @t72)))) % 208.73/208.97 (assume @p105 @t156) % 208.73/208.97 (step @p106 :rule aci_norm :args ((= @t162 (or @t160 @t159 @t158)))) % 208.73/208.97 (step @p107 :rule cong :premises (@p106) :args (@t163)) % 208.73/208.97 (step @p108 :rule quant-merge-prenex :args ((= (forall @t25 @t165) @t163))) % 208.73/208.97 (step @p109 :rule alpha_equiv :args (@t166 (@list @t157) @t167)) % 208.73/208.97 (step @p110 :rule refl :args (@t160)) % 208.73/208.97 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t168)) % 208.73/208.97 (step @p112 :rule quant-miniscope-or :args ((= @t165 @t168))) % 208.73/208.97 (step @p113 :rule trans :premises (@p112 @p111)) % 208.73/208.97 (step @p114 :rule symm :premises (@p113)) % 208.73/208.97 (step @p115 :rule cong :premises (@p114) :args ((forall @t25 (or @t160 @t170)))) % 208.73/208.97 (step @p116 :rule trans :premises (@p115 @p108)) % 208.73/208.97 (step @p117 :rule trans :premises (@p116 @p107)) % 208.73/208.97 (step @p118 :rule bool-impl-elim :args (@t19 @t170)) % 208.73/208.97 (step @p119 :rule cong :premises (@p118) :args ((forall @t25 (=> @t19 @t170)))) % 208.73/208.97 (step @p120 :rule trans :premises (@p119 @p117)) % 208.73/208.97 (step @p121 :rule bool-impl-elim :args (@t49 @t89)) % 208.73/208.97 (step @p122 :rule cong :premises (@p121) :args (@t90)) % 208.73/208.97 (step @p123 :rule refl :args (@t19)) % 208.73/208.97 (step @p124 :rule cong :premises (@p123 @p122) :args (@t91)) % 208.73/208.97 (step @p125 :rule cong :premises (@p124) :args (@t92)) % 208.73/208.97 (step @p126 :rule trans :premises (@p125 @p120)) % 208.73/208.97 (step @p127 :rule eq_resolve :premises (@p52 @p126)) % 208.73/208.97 (step @p128 :rule instantiate :premises (@p127) :args (@t201)) % 208.73/208.97 (step @p129 :rule quant-merge-prenex :args ((= (forall @t25 @t206) (forall (@list @t1 @t202) @t204)))) % 208.73/208.97 (step @p130 :rule alpha_equiv :args (@t207 (@list @t202) @t167)) % 208.73/208.97 (step @p131 :rule nary_cong :premises (@p110 @p130) :args (@t208)) % 208.73/208.97 (step @p132 :rule quant-miniscope-or :args ((= @t206 @t208))) % 208.73/208.97 (step @p133 :rule trans :premises (@p132 @p131)) % 208.73/208.97 (step @p134 :rule symm :premises (@p133)) % 208.73/208.97 (step @p135 :rule cong :premises (@p134) :args ((forall @t25 (or @t160 @t103)))) % 208.73/208.97 (step @p136 :rule trans :premises (@p135 @p129)) % 208.73/208.97 (step @p137 :rule bool-impl-elim :args (@t19 @t103)) % 208.73/208.97 (step @p138 :rule cong :premises (@p137) :args (@t104)) % 208.73/208.97 (step @p139 :rule trans :premises (@p138 @p136)) % 208.73/208.97 (step @p140 :rule eq_resolve :premises (@p91 @p139)) % 208.73/208.97 (step @p141 :rule instantiate :premises (@p140) :args (@t201)) % 208.73/208.97 (step @p142 :rule aci_norm :args ((= @t210 @t180))) % 208.73/208.97 (step @p143 :rule cong :premises (@p142) :args (@t211)) % 208.73/208.97 (step @p144 :rule quant-merge-prenex :args ((= (forall @t25 @t213) @t211))) % 208.73/208.97 (step @p145 :rule alpha_equiv :args (@t214 (@list @t172) @t167)) % 208.73/208.97 (step @p146 :rule refl :args (@t179)) % 208.73/208.97 (step @p147 :rule refl :args (@t21)) % 208.73/208.97 (step @p148 :rule nary_cong :premises (@p147 @p146 @p110 @p145) :args (@t215)) % 208.73/208.97 (step @p149 :rule quant-miniscope-or :args ((= @t213 @t215))) % 208.73/208.97 (step @p150 :rule trans :premises (@p149 @p148)) % 208.73/208.97 (step @p151 :rule symm :premises (@p150)) % 208.73/208.97 (step @p152 :rule cong :premises (@p151) :args ((forall @t25 @t222))) % 208.73/208.97 (step @p153 :rule trans :premises (@p152 @p144)) % 208.73/208.97 (step @p154 :rule trans :premises (@p153 @p143)) % 208.73/208.97 (step @p155 :rule aci_norm :args ((= (or @t223 @t221) @t222))) % 208.73/208.97 (step @p156 :rule refl :args (@t221)) % 208.73/208.97 (step @p157 :rule bool-double-not-elim :args (@t21)) % 208.73/208.97 (step @p158 :rule nary_cong :premises (@p157 @p146 @p110) :args (@t225)) % 208.73/208.97 (step @p159 :rule aci_norm :args ((= (or @t224 @t226) @t225))) % 208.73/208.97 (step @p160 :rule trans :premises (@p159 @p158)) % 208.73/208.97 (step @p161 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 208.73/208.97 (step @p162 :rule refl :args (@t224)) % 208.73/208.97 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t224 @t227))) % 208.73/208.97 (step @p164 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19))) % 208.73/208.97 (step @p165 :rule trans :premises (@p164 @p163)) % 208.73/208.97 (step @p166 :rule trans :premises (@p165 @p160)) % 208.73/208.97 (step @p167 :rule nary_cong :premises (@p166 @p156) :args ((or @t228 @t221))) % 208.73/208.97 (step @p168 :rule trans :premises (@p167 @p155)) % 208.73/208.97 (step @p169 :rule bool-impl-elim :args (@t23 @t221)) % 208.73/208.97 (step @p170 :rule trans :premises (@p169 @p168)) % 208.73/208.97 (step @p171 :rule cong :premises (@p170) :args ((forall @t25 (=> @t23 @t221)))) % 208.73/208.97 (step @p172 :rule trans :premises (@p171 @p154)) % 208.73/208.97 (step @p173 :rule aci_norm :args ((= (or (or @t13 @t55 @t219) @t218) @t220))) % 208.73/208.97 (step @p174 :rule refl :args (@t218)) % 208.73/208.97 (step @p175 :rule refl :args (@t219)) % 208.73/208.97 (step @p176 :rule refl :args (@t55)) % 208.73/208.97 (step @p177 :rule bool-double-not-elim :args (@t13)) % 208.73/208.97 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args (@t230)) % 208.73/208.97 (step @p179 :rule aci_norm :args ((= (or @t229 (or @t55 @t219)) @t230))) % 208.73/208.97 (step @p180 :rule trans :premises (@p179 @p178)) % 208.73/208.97 (step @p181 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 208.73/208.97 (step @p182 :rule refl :args (@t229)) % 208.73/208.97 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t229 (not (and @t12 @t11))))) % 208.73/208.97 (step @p184 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 208.73/208.97 (step @p185 :rule trans :premises (@p184 @p183)) % 208.73/208.97 (step @p186 :rule trans :premises (@p185 @p180)) % 208.73/208.97 (step @p187 :rule nary_cong :premises (@p186 @p174) :args ((or (not @t15) @t218))) % 208.73/208.97 (step @p188 :rule trans :premises (@p187 @p173)) % 208.73/208.97 (step @p189 :rule bool-impl-elim :args (@t15 @t218)) % 208.73/208.97 (step @p190 :rule trans :premises (@p189 @p188)) % 208.73/208.97 (step @p191 :rule cong :premises (@p190) :args ((forall @t17 (=> @t15 @t218)))) % 208.73/208.97 (step @p192 :rule aci_norm :args ((= (or @t174 (or @t173 (or @t216 @t171))) @t217))) % 208.73/208.97 (step @p193 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 208.73/208.97 (step @p194 :rule refl :args (@t173)) % 208.73/208.97 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t173 (not (and @t5 @t3))))) % 208.73/208.97 (step @p196 :rule bool-and-de-morgan :args (@t6 @t5 (and @t3))) % 208.73/208.97 (step @p197 :rule trans :premises (@p196 @p195)) % 208.73/208.97 (step @p198 :rule refl :args (@t174)) % 208.73/208.97 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or @t174 (not (and @t6 @t5 @t3))))) % 208.73/208.97 (step @p200 :rule bool-and-de-morgan :args (@t7 @t6 (and @t5 @t3))) % 208.73/208.97 (step @p201 :rule trans :premises (@p200 @p199)) % 208.73/208.97 (step @p202 :rule trans :premises (@p201 @p192)) % 208.73/208.97 (step @p203 :rule cong :premises (@p202) :args (@t231)) % 208.73/208.97 (step @p204 :rule cong :premises (@p203) :args (@t232)) % 208.73/208.97 (step @p205 :rule exists-elim :args ((= @t10 @t232))) % 208.73/208.97 (step @p206 :rule trans :premises (@p205 @p204)) % 208.73/208.97 (step @p207 :rule refl :args (@t15)) % 208.73/208.97 (step @p208 :rule cong :premises (@p207 @p206) :args (@t16)) % 208.73/208.97 (step @p209 :rule cong :premises (@p208) :args (@t18)) % 208.73/208.97 (step @p210 :rule trans :premises (@p209 @p191)) % 208.73/208.97 (step @p211 :rule refl :args (@t23)) % 208.73/208.97 (step @p212 :rule cong :premises (@p211 @p210) :args (@t24)) % 208.73/208.97 (step @p213 :rule cong :premises (@p212) :args (@t26)) % 208.73/208.97 (step @p214 :rule trans :premises (@p213 @p172)) % 208.73/208.97 (step @p215 :rule cong :premises (@p214) :args (@t27)) % 208.73/208.97 (step @p216 :rule eq_resolve :premises (@p1 @p215)) % 208.73/208.97 (step @p217 :rule skolemize :premises (@p216)) % 208.73/208.97 (step @p218 :rule bool-double-not-elim :args (@t233)) % 208.73/208.97 (step @p219 :rule refl :args (@t245)) % 208.73/208.97 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t245 (not @t241)))) % 208.73/208.97 (step @p221 :rule cnf_or_neg :args (@t245 2)) % 208.73/208.97 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 208.73/208.97 (step @p223 :rule reordering :premises (@p222) :args ((or @t233 @t245))) % 208.73/208.97 (step @p224 :rule chain_m_resolution :premises (@p223 @p217) :args (@t233 @t246 @t247)) % 208.73/208.97 (step @p225 :rule cnf_or_pos :args (@t251)) % 208.73/208.97 (step @p226 :rule reordering :premises (@p225) :args ((or @t241 @t250 (not @t251)))) % 208.73/208.97 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p141) :args (@t250 @t252 (@list @t233 @t251))) % 208.73/208.97 ; WARNING: add trust step for TRUST % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p228 :rule trust :premises () :args ((= (forall @t261 (or @t21 @t179 @t160 @t260 @t259 @t258 (not (forall @t9 (or @t108 @t174 @t173 @t171 (not (= @t105 @t257))))))) @t256))) % 208.73/208.97 (step @p229 :rule eq-symm :args (@t257 @t105)) % 208.73/208.97 (step @p230 :rule cong :premises (@p229) :args (@t262)) % 208.73/208.97 (step @p231 :rule refl :args (@t171)) % 208.73/208.97 (step @p232 :rule refl :args (@t173)) % 208.73/208.97 (step @p233 :rule refl :args (@t174)) % 208.73/208.97 (step @p234 :rule refl :args (@t108)) % 208.73/208.97 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232 @p231 @p230) :args (@t263)) % 208.73/208.97 (step @p236 :rule cong :premises (@p235) :args (@t264)) % 208.73/208.97 (step @p237 :rule cong :premises (@p236) :args (@t265)) % 208.73/208.97 (step @p238 :rule refl :args (@t258)) % 208.73/208.97 (step @p239 :rule refl :args (@t259)) % 208.73/208.97 (step @p240 :rule refl :args (@t260)) % 208.73/208.97 (step @p241 :rule refl :args (@t160)) % 208.73/208.97 (step @p242 :rule refl :args (@t179)) % 208.73/208.97 (step @p243 :rule refl :args (@t21)) % 208.73/208.97 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241 @p240 @p239 @p238 @p237) :args (@t266)) % 208.73/208.97 (step @p245 :rule aci_norm :args ((= @t268 @t266))) % 208.73/208.97 (step @p246 :rule trans :premises (@p245 @p244)) % 208.73/208.97 (step @p247 :rule cong :premises (@p246) :args (@t269)) % 208.73/208.97 (step @p248 :rule quant-merge-prenex :args ((= (forall @t25 @t271) @t269))) % 208.73/208.97 (step @p249 :rule alpha_equiv :args (@t272 (@list @t257) @t167)) % 208.73/208.97 (step @p250 :rule nary_cong :premises (@p147 @p146 @p110 @p249) :args (@t273)) % 208.73/208.97 (step @p251 :rule quant-miniscope-or :args ((= @t271 @t273))) % 208.73/208.97 (step @p252 :rule trans :premises (@p251 @p250)) % 208.73/208.97 (step @p253 :rule symm :premises (@p252)) % 208.73/208.97 (step @p254 :rule cong :premises (@p253) :args ((forall @t25 @t281))) % 208.73/208.97 (step @p255 :rule trans :premises (@p254 @p248)) % 208.73/208.97 (step @p256 :rule trans :premises (@p255 @p247)) % 208.73/208.97 (step @p257 :rule aci_norm :args ((= (or @t223 @t280) @t281))) % 208.73/208.97 (step @p258 :rule refl :args (@t280)) % 208.73/208.97 (step @p259 :rule nary_cong :premises (@p166 @p258) :args ((or @t228 @t280))) % 208.73/208.97 (step @p260 :rule trans :premises (@p259 @p257)) % 208.73/208.97 (step @p261 :rule bool-impl-elim :args (@t23 @t280)) % 208.73/208.97 (step @p262 :rule trans :premises (@p261 @p260)) % 208.73/208.97 (step @p263 :rule cong :premises (@p262) :args ((forall @t25 (=> @t23 @t280)))) % 208.73/208.97 (step @p264 :rule trans :premises (@p263 @p256)) % 208.73/208.97 (step @p265 :rule aci_norm :args ((= (or (or @t72 @t278) (or @t141 @t277)) @t279))) % 208.73/208.97 (step @p266 :rule bool-and-de-morgan :args (@t112 @t276 true)) % 208.73/208.97 (step @p267 :rule refl :args (@t278)) % 208.73/208.97 (step @p268 :rule bool-double-not-elim :args (@t72)) % 208.73/208.97 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t101) @t278))) % 208.73/208.97 (step @p270 :rule bool-and-de-morgan :args (@t101 @t74 true)) % 208.73/208.97 (step @p271 :rule trans :premises (@p270 @p269)) % 208.73/208.97 (step @p272 :rule nary_cong :premises (@p271 @p266) :args ((or (not @t115) @t282))) % 208.73/208.97 (step @p273 :rule trans :premises (@p272 @p265)) % 208.73/208.97 (step @p274 :rule bool-impl-elim :args (@t115 @t282)) % 208.73/208.97 (step @p275 :rule trans :premises (@p274 @p273)) % 208.73/208.97 (step @p276 :rule cong :premises (@p275) :args ((forall @t17 (=> @t115 @t282)))) % 208.73/208.97 (step @p277 :rule aci_norm :args ((= (or (or @t108 @t174 @t173) (or @t171 @t274)) @t275))) % 208.73/208.97 (step @p278 :rule bool-and-de-morgan :args (@t3 @t106 true)) % 208.73/208.97 (step @p279 :rule bool-double-not-elim :args (@t108)) % 208.73/208.97 (step @p280 :rule nary_cong :premises (@p279 @p198 @p194) :args (@t284)) % 208.73/208.97 (step @p281 :rule aci_norm :args ((= (or @t283 (or @t174 @t173)) @t284))) % 208.73/208.97 (step @p282 :rule trans :premises (@p281 @p280)) % 208.73/208.97 (step @p283 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 208.73/208.97 (step @p284 :rule refl :args (@t283)) % 208.73/208.97 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t283 (not (and @t7 @t6))))) % 208.73/208.97 (step @p286 :rule bool-and-de-morgan :args (@t109 @t7 (and @t6))) % 208.73/208.97 (step @p287 :rule trans :premises (@p286 @p285)) % 208.73/208.97 (step @p288 :rule trans :premises (@p287 @p282)) % 208.73/208.97 (step @p289 :rule nary_cong :premises (@p288 @p278) :args ((or (not @t110) @t107))) % 208.73/208.97 (step @p290 :rule trans :premises (@p289 @p277)) % 208.73/208.97 (step @p291 :rule bool-impl-elim :args (@t110 @t107)) % 208.73/208.97 (step @p292 :rule trans :premises (@p291 @p290)) % 208.73/208.97 (step @p293 :rule cong :premises (@p292) :args (@t111)) % 208.73/208.97 (step @p294 :rule refl :args (@t112)) % 208.73/208.97 (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t113)) % 208.73/208.97 (step @p296 :rule cong :premises (@p295) :args (@t114)) % 208.73/208.97 (step @p297 :rule refl :args (@t115)) % 208.73/208.97 (step @p298 :rule cong :premises (@p297 @p296) :args (@t116)) % 208.73/208.97 (step @p299 :rule cong :premises (@p298) :args (@t117)) % 208.73/208.97 (step @p300 :rule trans :premises (@p299 @p276)) % 208.73/208.97 (step @p301 :rule cong :premises (@p211 @p300) :args (@t118)) % 208.73/208.97 (step @p302 :rule cong :premises (@p301) :args (@t119)) % 208.73/208.97 (step @p303 :rule trans :premises (@p302 @p264)) % 208.73/208.97 (step @p304 :rule trans :premises (@p303 @p228)) % 208.73/208.97 (step @p305 :rule eq_resolve :premises (@p93 @p304)) % 208.73/208.97 (step @p306 :rule eq-symm :args (@t195 @t196)) % 208.73/208.97 (step @p307 :rule cong :premises (@p306) :args (@t285)) % 208.73/208.97 (step @p308 :rule refl :args (@t197)) % 208.73/208.97 (step @p309 :rule refl :args (@t198)) % 208.73/208.97 (step @p310 :rule nary_cong :premises (@p234 @p233 @p309 @p308 @p307) :args (@t286)) % 208.73/208.97 (step @p311 :rule cong :premises (@p310) :args (@t287)) % 208.73/208.97 (step @p312 :rule cong :premises (@p311) :args (@t288)) % 208.73/208.97 (step @p313 :rule refl :args (@t290)) % 208.73/208.97 (step @p314 :rule refl :args (@t292)) % 208.73/208.97 (step @p315 :rule refl :args (@t293)) % 208.73/208.97 (step @p316 :rule refl :args (@t241)) % 208.73/208.97 (step @p317 :rule refl :args (@t243)) % 208.73/208.97 (step @p318 :rule refl :args (@t244)) % 208.73/208.97 (step @p319 :rule nary_cong :premises (@p318 @p317 @p316 @p315 @p314 @p313 @p312) :args (@t294)) % 208.73/208.97 (step @p320 :rule refl :args (@t256)) % 208.73/208.97 (step @p321 :rule cong :premises (@p320 @p319) :args ((=> @t256 @t294))) % 208.73/208.97 (assume-push @p708 @t256) % 208.73/208.97 (step @p323 :rule instantiate :premises (@p305) :args (@t295)) % 208.73/208.97 (step-pop @p709 :rule scope :premises (@p323)) % 208.73/208.97 (step @p324 :rule process_scope :premises (@p709) :args (@t294)) % 208.73/208.97 (step @p326 :rule eq_resolve :premises (@p324 @p321)) % 208.73/208.97 (step @p327 :rule implies_elim :premises (@p326)) % 208.73/208.97 (step @p328 :rule chain_m_resolution :premises (@p327 @p305) :args (@t297 (@list false) (@list @t256))) % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p329 :rule trust :premises () :args ((= (forall @t304 @t303) (forall (@list @t1 @t298) (or @t21 @t179 @t160 (not (_ @t255 @t298)) (not (_ @t192 @t298 @t254)) (not (_ @t185 @t298 @t1))))))) % 208.73/208.97 (step @p330 :rule aci_norm :args ((= @t306 @t303))) % 208.73/208.97 (step @p331 :rule cong :premises (@p330) :args (@t307)) % 208.73/208.97 (step @p332 :rule quant-merge-prenex :args ((= (forall @t25 @t309) @t307))) % 208.73/208.97 (step @p333 :rule alpha_equiv :args (@t310 (@list @t299) @t167)) % 208.73/208.97 (step @p334 :rule nary_cong :premises (@p147 @p146 @p110 @p333) :args (@t311)) % 208.73/208.97 (step @p335 :rule quant-miniscope-or :args ((= @t309 @t311))) % 208.73/208.97 (step @p336 :rule trans :premises (@p335 @p334)) % 208.73/208.97 (step @p337 :rule symm :premises (@p336)) % 208.73/208.97 (step @p338 :rule cong :premises (@p337) :args ((forall @t25 @t314))) % 208.73/208.97 (step @p339 :rule trans :premises (@p338 @p332)) % 208.73/208.97 (step @p340 :rule trans :premises (@p339 @p331)) % 208.73/208.97 (step @p341 :rule aci_norm :args ((= (or @t223 @t313) @t314))) % 208.73/208.97 (step @p342 :rule refl :args (@t313)) % 208.73/208.97 (step @p343 :rule nary_cong :premises (@p166 @p342) :args ((or @t228 @t313))) % 208.73/208.97 (step @p344 :rule trans :premises (@p343 @p341)) % 208.73/208.97 (step @p345 :rule bool-impl-elim :args (@t23 @t313)) % 208.73/208.97 (step @p346 :rule trans :premises (@p345 @p344)) % 208.73/208.97 (step @p347 :rule cong :premises (@p346) :args ((forall @t25 (=> @t23 @t313)))) % 208.73/208.97 (step @p348 :rule trans :premises (@p347 @p340)) % 208.73/208.97 (step @p349 :rule aci_norm :args ((= (or (or @t101 @t278) @t141) @t312))) % 208.73/208.97 (step @p350 :rule refl :args (@t141)) % 208.73/208.97 (step @p351 :rule bool-and-de-morgan :args (@t72 @t74 true)) % 208.73/208.97 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or (not @t142) @t141))) % 208.73/208.97 (step @p353 :rule trans :premises (@p352 @p349)) % 208.73/208.97 (step @p354 :rule bool-impl-elim :args (@t142 @t141)) % 208.73/208.97 (step @p355 :rule trans :premises (@p354 @p353)) % 208.73/208.97 (step @p356 :rule cong :premises (@p355) :args (@t143)) % 208.73/208.97 (step @p357 :rule cong :premises (@p211 @p356) :args (@t144)) % 208.73/208.97 (step @p358 :rule cong :premises (@p357) :args (@t145)) % 208.73/208.97 (step @p359 :rule trans :premises (@p358 @p348)) % 208.73/208.97 (step @p360 :rule trans :premises (@p359 @p329)) % 208.73/208.97 (step @p361 :rule eq_resolve :premises (@p100 @p360)) % 208.73/208.97 (step @p362 :rule instantiate :premises (@p361) :args (@t295)) % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p363 :rule trust :premises () :args ((= (forall @t324 @t323) (forall (@list @t1 @t315) (or @t21 @t179 @t160 (not (_ @t192 @t315 @t254)) (not (_ @t316 @t315 @t1)) (not (forall @t193 (or (not (_ @t192 @t184 @t254)) (not (_ @t189 @t315 @t184)) (not (_ @t185 @t184 @t1)))))))))) % 208.73/208.97 (step @p364 :rule aci_norm :args ((= @t326 @t323))) % 208.73/208.97 (step @p365 :rule cong :premises (@p364) :args (@t327)) % 208.73/208.97 (step @p366 :rule quant-merge-prenex :args ((= (forall @t25 @t329) @t327))) % 208.73/208.97 (step @p367 :rule alpha_equiv :args (@t330 (@list @t318) @t167)) % 208.73/208.97 (step @p368 :rule nary_cong :premises (@p147 @p146 @p110 @p367) :args (@t331)) % 208.73/208.97 (step @p369 :rule quant-miniscope-or :args ((= @t329 @t331))) % 208.73/208.97 (step @p370 :rule trans :premises (@p369 @p368)) % 208.73/208.97 (step @p371 :rule symm :premises (@p370)) % 208.73/208.97 (step @p372 :rule cong :premises (@p371) :args ((forall @t25 @t339))) % 208.73/208.97 (step @p373 :rule trans :premises (@p372 @p366)) % 208.73/208.97 (step @p374 :rule trans :premises (@p373 @p365)) % 208.73/208.97 (step @p375 :rule aci_norm :args ((= (or @t223 @t338) @t339))) % 208.73/208.97 (step @p376 :rule refl :args (@t338)) % 208.73/208.97 (step @p377 :rule nary_cong :premises (@p166 @p376) :args ((or @t228 @t338))) % 208.73/208.97 (step @p378 :rule trans :premises (@p377 @p375)) % 208.73/208.97 (step @p379 :rule bool-impl-elim :args (@t23 @t338)) % 208.73/208.97 (step @p380 :rule trans :premises (@p379 @p378)) % 208.73/208.97 (step @p381 :rule cong :premises (@p380) :args ((forall @t25 (=> @t23 @t338)))) % 208.73/208.97 (step @p382 :rule trans :premises (@p381 @p374)) % 208.73/208.97 (step @p383 :rule aci_norm :args ((= (or @t278 (or @t336 @t335)) @t337))) % 208.73/208.97 (step @p384 :rule bool-and-de-morgan :args (@t150 @t334 true)) % 208.73/208.97 (step @p385 :rule nary_cong :premises (@p267 @p384) :args ((or @t278 @t340))) % 208.73/208.97 (step @p386 :rule trans :premises (@p385 @p383)) % 208.73/208.97 (step @p387 :rule bool-impl-elim :args (@t74 @t340)) % 208.73/208.97 (step @p388 :rule trans :premises (@p387 @p386)) % 208.73/208.97 (step @p389 :rule cong :premises (@p388) :args ((forall @t17 (=> @t74 @t340)))) % 208.73/208.97 (step @p390 :rule aci_norm :args ((= (or @t319 (or @t332 @t317)) @t333))) % 208.73/208.97 (step @p391 :rule bool-and-de-morgan :args (@t147 @t146 true)) % 208.73/208.97 (step @p392 :rule refl :args (@t319)) % 208.73/208.97 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t319 @t148))) % 208.73/208.97 (step @p394 :rule trans :premises (@p393 @p390)) % 208.73/208.97 (step @p395 :rule bool-impl-elim :args (@t123 @t148)) % 208.73/208.97 (step @p396 :rule trans :premises (@p395 @p394)) % 208.73/208.97 (step @p397 :rule cong :premises (@p396) :args (@t149)) % 208.73/208.97 (step @p398 :rule refl :args (@t150)) % 208.73/208.97 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t151)) % 208.73/208.97 (step @p400 :rule cong :premises (@p399) :args (@t152)) % 208.73/208.97 (step @p401 :rule refl :args (@t74)) % 208.73/208.97 (step @p402 :rule cong :premises (@p401 @p400) :args (@t153)) % 208.73/208.97 (step @p403 :rule cong :premises (@p402) :args (@t154)) % 208.73/208.97 (step @p404 :rule trans :premises (@p403 @p389)) % 208.73/208.97 (step @p405 :rule cong :premises (@p211 @p404) :args (@t155)) % 208.73/208.97 (step @p406 :rule cong :premises (@p405) :args (@t156)) % 208.73/208.97 (step @p407 :rule trans :premises (@p406 @p382)) % 208.73/208.97 (step @p408 :rule trans :premises (@p407 @p363)) % 208.73/208.97 (step @p409 :rule eq_resolve :premises (@p105 @p408)) % 208.73/208.97 (step @p410 :rule instantiate :premises (@p409) :args ((@list @t183 @t188))) % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p411 :rule trust :premises () :args ((= (forall @t346 @t350) (forall @t346 (or @t21 @t160 @t345 @t344 (not (_ @t192 @t342 @t254)) (= @t343 (_ @t316 @t342 @t1))))))) % 208.73/208.97 (step @p412 :rule aci_norm :args ((= @t352 @t350))) % 208.73/208.97 (step @p413 :rule cong :premises (@p412) :args (@t353)) % 208.73/208.97 (step @p414 :rule quant-merge-prenex :args ((= (forall @t25 @t355) @t353))) % 208.73/208.97 (step @p415 :rule alpha_equiv :args (@t356 (@list @t341) @t167)) % 208.73/208.97 (step @p416 :rule nary_cong :premises (@p147 @p110 @p415) :args (@t357)) % 208.73/208.97 (step @p417 :rule quant-miniscope-or :args ((= @t355 @t357))) % 208.73/208.97 (step @p418 :rule trans :premises (@p417 @p416)) % 208.73/208.97 (step @p419 :rule symm :premises (@p418)) % 208.73/208.97 (step @p420 :rule cong :premises (@p419) :args ((forall @t25 @t362))) % 208.73/208.97 (step @p421 :rule trans :premises (@p420 @p414)) % 208.73/208.97 (step @p422 :rule trans :premises (@p421 @p413)) % 208.73/208.97 (step @p423 :rule aci_norm :args ((= (or @t363 @t361) @t362))) % 208.73/208.97 (step @p424 :rule refl :args (@t361)) % 208.73/208.97 (step @p425 :rule nary_cong :premises (@p157 @p110) :args ((or @t224 @t160))) % 208.73/208.97 (step @p426 :rule bool-and-de-morgan :args (@t22 @t19 true)) % 208.73/208.97 (step @p427 :rule trans :premises (@p426 @p425)) % 208.73/208.97 (step @p428 :rule nary_cong :premises (@p427 @p424) :args ((or @t364 @t361))) % 208.73/208.97 (step @p429 :rule trans :premises (@p428 @p423)) % 208.73/208.97 (step @p430 :rule bool-impl-elim :args (@t75 @t361)) % 208.73/208.97 (step @p431 :rule trans :premises (@p430 @p429)) % 208.73/208.97 (step @p432 :rule cong :premises (@p431) :args ((forall @t25 (=> @t75 @t361)))) % 208.73/208.97 (step @p433 :rule trans :premises (@p432 @p422)) % 208.73/208.97 (step @p434 :rule aci_norm :args ((= (or (or @t13 @t219) @t365) @t360))) % 208.73/208.97 (step @p435 :rule refl :args (@t365)) % 208.73/208.97 (step @p436 :rule nary_cong :premises (@p177 @p175) :args ((or @t229 @t219))) % 208.73/208.97 (step @p437 :rule bool-and-de-morgan :args (@t14 @t11 true)) % 208.73/208.97 (step @p438 :rule trans :premises (@p437 @p436)) % 208.73/208.97 (step @p439 :rule nary_cong :premises (@p438 @p435) :args ((or (not @t126) @t365))) % 208.73/208.97 (step @p440 :rule trans :premises (@p439 @p434)) % 208.73/208.97 (step @p441 :rule bool-impl-elim :args (@t126 @t365)) % 208.73/208.97 (step @p442 :rule trans :premises (@p441 @p440)) % 208.73/208.97 (step @p443 :rule cong :premises (@p442) :args ((forall @t17 (=> @t126 @t365)))) % 208.73/208.97 (step @p444 :rule aci_norm :args ((= (or @t359 false @t358) @t365))) % 208.73/208.97 (step @p445 :rule refl :args (@t358)) % 208.73/208.97 (step @p446 :rule evaluate :args ((not true))) % 208.73/208.97 (step @p447 :rule eq-refl :args (@t95)) % 208.73/208.97 (step @p448 :rule cong :premises (@p447) :args (@t366)) % 208.73/208.97 (step @p449 :rule trans :premises (@p448 @p446)) % 208.73/208.97 (step @p450 :rule refl :args (@t359)) % 208.73/208.97 (step @p451 :rule nary_cong :premises (@p450 @p449 @p445) :args (@t367)) % 208.73/208.97 (step @p452 :rule trans :premises (@p451 @p444)) % 208.73/208.97 (step @p453 :rule quant-var-elim-eq :args ((= (forall @t9 @t370) @t367))) % 208.73/208.97 (step @p454 :rule aci_norm :args ((= @t371 @t370))) % 208.73/208.97 (step @p455 :rule cong :premises (@p454) :args ((forall @t9 @t371))) % 208.73/208.97 (step @p456 :rule trans :premises (@p455 @p453)) % 208.73/208.97 (step @p457 :rule trans :premises (@p456 @p452)) % 208.73/208.97 (step @p458 :rule aci_norm :args ((= (or @t319 (or @t369 @t368)) @t371))) % 208.73/208.97 (step @p459 :rule bool-impl-elim :args (@t121 @t368)) % 208.73/208.97 (step @p460 :rule nary_cong :premises (@p392 @p459) :args ((or @t319 @t372))) % 208.73/208.97 (step @p461 :rule trans :premises (@p460 @p458)) % 208.73/208.97 (step @p462 :rule bool-impl-elim :args (@t123 @t372)) % 208.73/208.97 (step @p463 :rule trans :premises (@p462 @p461)) % 208.73/208.97 (step @p464 :rule cong :premises (@p463) :args ((forall @t9 (=> @t123 @t372)))) % 208.73/208.97 (step @p465 :rule trans :premises (@p464 @p457)) % 208.73/208.97 (step @p466 :rule eq-symm :args (@t120 @t12)) % 208.73/208.97 (step @p467 :rule refl :args (@t121)) % 208.73/208.97 (step @p468 :rule cong :premises (@p467 @p466) :args (@t122)) % 208.73/208.97 (step @p469 :rule refl :args (@t123)) % 208.73/208.97 (step @p470 :rule cong :premises (@p469 @p468) :args (@t124)) % 208.73/208.97 (step @p471 :rule cong :premises (@p470) :args (@t125)) % 208.73/208.97 (step @p472 :rule trans :premises (@p471 @p465)) % 208.73/208.97 (step @p473 :rule refl :args (@t126)) % 208.73/208.97 (step @p474 :rule cong :premises (@p473 @p472) :args (@t127)) % 208.73/208.97 (step @p475 :rule cong :premises (@p474) :args (@t128)) % 208.73/208.97 (step @p476 :rule trans :premises (@p475 @p443)) % 208.73/208.97 (step @p477 :rule refl :args (@t75)) % 208.73/208.97 (step @p478 :rule cong :premises (@p477 @p476) :args (@t129)) % 208.73/208.97 (step @p479 :rule cong :premises (@p478) :args (@t130)) % 208.73/208.97 (step @p480 :rule trans :premises (@p479 @p433)) % 208.73/208.97 (step @p481 :rule trans :premises (@p480 @p411)) % 208.73/208.97 (step @p482 :rule eq_resolve :premises (@p94 @p481)) % 208.73/208.97 (step @p483 :rule instantiate :premises (@p482) :args (@t373)) % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p484 :rule trust :premises () :args ((= (forall @t376 @t378) (forall @t376 (or @t21 @t160 @t375 (_ @t192 (_ @t187 @t374) @t254)))))) % 208.73/208.97 (step @p485 :rule aci_norm :args ((= @t380 @t378))) % 208.73/208.97 (step @p486 :rule cong :premises (@p485) :args (@t381)) % 208.73/208.97 (step @p487 :rule quant-merge-prenex :args ((= (forall @t25 @t383) @t381))) % 208.73/208.97 (step @p488 :rule alpha_equiv :args (@t384 (@list @t374) @t167)) % 208.73/208.97 (step @p489 :rule nary_cong :premises (@p147 @p110 @p488) :args (@t385)) % 208.73/208.97 (step @p490 :rule quant-miniscope-or :args ((= @t383 @t385))) % 208.73/208.97 (step @p491 :rule trans :premises (@p490 @p489)) % 208.73/208.97 (step @p492 :rule symm :premises (@p491)) % 208.73/208.97 (step @p493 :rule cong :premises (@p492) :args ((forall @t25 @t387))) % 208.73/208.97 (step @p494 :rule trans :premises (@p493 @p487)) % 208.73/208.97 (step @p495 :rule trans :premises (@p494 @p486)) % 208.73/208.97 (step @p496 :rule aci_norm :args ((= (or @t363 @t386) @t387))) % 208.73/208.97 (step @p497 :rule refl :args (@t386)) % 208.73/208.97 (step @p498 :rule nary_cong :premises (@p427 @p497) :args ((or @t364 @t386))) % 208.73/208.97 (step @p499 :rule trans :premises (@p498 @p496)) % 208.73/208.97 (step @p500 :rule bool-impl-elim :args (@t75 @t386)) % 208.73/208.97 (step @p501 :rule trans :premises (@p500 @p499)) % 208.73/208.97 (step @p502 :rule cong :premises (@p501) :args ((forall @t25 (=> @t75 @t386)))) % 208.73/208.97 (step @p503 :rule trans :premises (@p502 @p495)) % 208.73/208.97 (step @p504 :rule bool-impl-elim :args (@t11 @t96)) % 208.73/208.97 (step @p505 :rule cong :premises (@p504) :args (@t97)) % 208.73/208.97 (step @p506 :rule cong :premises (@p477 @p505) :args (@t98)) % 208.73/208.97 (step @p507 :rule cong :premises (@p506) :args (@t99)) % 208.73/208.97 (step @p508 :rule trans :premises (@p507 @p503)) % 208.73/208.97 (step @p509 :rule trans :premises (@p508 @p484)) % 208.73/208.97 (step @p510 :rule eq_resolve :premises (@p64 @p509)) % 208.73/208.97 (step @p511 :rule instantiate :premises (@p510) :args (@t373)) % 208.73/208.97 (step @p512 :rule bool-double-not-elim :args (@t236)) % 208.73/208.97 (step @p513 :rule nary_cong :premises (@p219 @p512) :args ((or @t245 (not @t237)))) % 208.73/208.97 (step @p514 :rule cnf_or_neg :args (@t245 5)) % 208.73/208.97 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 208.73/208.97 (step @p516 :rule reordering :premises (@p515) :args ((or @t236 @t245))) % 208.73/208.97 (step @p517 :rule chain_m_resolution :premises (@p516 @p217) :args (@t236 @t246 @t247)) % 208.73/208.97 (step @p518 :rule cnf_or_neg :args (@t245 0)) % 208.73/208.97 (step @p519 :rule chain_m_resolution :premises (@p518 @p217) :args ((not @t244) @t246 @t247)) % 208.73/208.97 (step @p520 :rule cnf_or_pos :args (@t389)) % 208.73/208.97 (step @p521 :rule reordering :premises (@p520) :args ((or @t244 @t241 @t237 @t388 (not @t389)))) % 208.73/208.97 (step @p522 :rule chain_m_resolution :premises (@p521 @p519 @p224 @p517 @p511) :args (@t388 (@list true false false false) (@list @t244 @t233 @t236 @t389))) % 208.73/208.97 (step @p523 :rule cnf_or_neg :args (@t245 3)) % 208.73/208.97 (step @p524 :rule chain_m_resolution :premises (@p523 @p217) :args ((not @t240) @t246 @t247)) % 208.73/208.97 (step @p525 :rule cnf_or_pos :args (@t393)) % 208.73/208.97 (step @p526 :rule reordering :premises (@p525) :args ((or @t244 @t241 @t240 @t237 @t392 @t391 (not @t393)))) % 208.73/208.97 (step @p527 :rule chain_m_resolution :premises (@p526 @p519 @p224 @p524 @p517 @p522 @p483) :args (@t391 (@list true false true false false false) (@list @t244 @t233 @t240 @t236 @t388 @t393))) % 208.73/208.97 (step @p528 :rule bool-double-not-elim :args (@t238)) % 208.73/208.97 (step @p529 :rule nary_cong :premises (@p219 @p528) :args ((or @t245 (not @t239)))) % 208.73/208.97 (step @p530 :rule cnf_or_neg :args (@t245 4)) % 208.73/208.97 (step @p531 :rule eq_resolve :premises (@p530 @p529)) % 208.73/208.97 (step @p532 :rule reordering :premises (@p531) :args ((or @t238 @t245))) % 208.73/208.97 (step @p533 :rule chain_m_resolution :premises (@p532 @p217) :args (@t238 @t246 @t247)) % 208.73/208.97 (step @p534 :rule cnf_equiv_pos1 :args (@t391)) % 208.73/208.97 (step @p535 :rule reordering :premises (@p534) :args ((or @t239 @t390 (not @t391)))) % 208.73/208.97 (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p527) :args (@t390 @t252 (@list @t238 @t391))) % 208.73/208.97 (step @p537 :rule bool-double-not-elim :args (@t242)) % 208.73/208.97 (step @p538 :rule nary_cong :premises (@p219 @p537) :args ((or @t245 (not @t243)))) % 208.73/208.97 (step @p539 :rule cnf_or_neg :args (@t245 1)) % 208.73/208.97 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 208.73/208.97 (step @p541 :rule reordering :premises (@p540) :args ((or @t242 @t245))) % 208.73/208.97 (step @p542 :rule chain_m_resolution :premises (@p541 @p217) :args (@t242 @t246 @t247)) % 208.73/208.97 (step @p543 :rule cnf_or_pos :args (@t396)) % 208.73/208.97 (step @p544 :rule reordering :premises (@p543) :args ((or @t244 @t243 @t241 @t392 @t395 @t394 (not @t396)))) % 208.73/208.97 (step @p545 :rule chain_m_resolution :premises (@p544 @p519 @p542 @p224 @p522 @p536 @p410) :args (@t394 @t397 (@list @t244 @t242 @t233 @t388 @t390 @t396))) % 208.73/208.97 (step @p546 :rule skolemize :premises (@p545)) % 208.73/208.97 (step @p547 :rule bool-double-not-elim :args (@t289)) % 208.73/208.97 (step @p548 :rule refl :args (@t400)) % 208.73/208.97 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t400 (not @t290)))) % 208.73/208.97 (step @p550 :rule cnf_or_neg :args (@t400 2)) % 208.73/208.97 (step @p551 :rule eq_resolve :premises (@p550 @p549)) % 208.73/208.97 (step @p552 :rule reordering :premises (@p551) :args ((or @t289 @t400))) % 208.73/208.97 (step @p553 :rule chain_m_resolution :premises (@p552 @p546) :args (@t289 @t246 @t401)) % 208.73/208.97 (step @p554 :rule bool-double-not-elim :args (@t291)) % 208.73/208.97 (step @p555 :rule nary_cong :premises (@p548 @p554) :args ((or @t400 (not @t292)))) % 208.73/208.97 (step @p556 :rule cnf_or_neg :args (@t400 0)) % 208.73/208.97 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 208.73/208.97 (step @p558 :rule reordering :premises (@p557) :args ((or @t291 @t400))) % 208.73/208.97 (step @p559 :rule chain_m_resolution :premises (@p558 @p546) :args (@t291 @t246 @t401)) % 208.73/208.97 (step @p560 :rule cnf_or_pos :args (@t403)) % 208.73/208.97 (step @p561 :rule reordering :premises (@p560) :args ((or @t244 @t243 @t241 @t292 @t290 @t402 (not @t403)))) % 208.73/208.97 (step @p562 :rule chain_m_resolution :premises (@p561 @p519 @p542 @p224 @p559 @p553 @p362) :args (@t402 @t397 (@list @t244 @t242 @t233 @t291 @t289 @t403))) % 208.73/208.97 (step @p563 :rule cnf_or_pos :args (@t297)) % 208.73/208.97 (step @p564 :rule reordering :premises (@p563) :args ((or @t244 @t243 @t241 @t292 @t290 @t293 @t296 (not @t297)))) % 208.73/208.97 (step @p565 :rule chain_m_resolution :premises (@p564 @p519 @p542 @p224 @p559 @p553 @p562 @p328) :args (@t296 (@list true false false false false true false) (@list @t244 @t242 @t233 @t291 @t289 @t293 @t297))) % 208.73/208.97 (step @p566 :rule refl :args (@t414)) % 208.73/208.97 (step @p567 :rule bool-double-not-elim :args (@t199)) % 208.73/208.97 (step @p568 :rule nary_cong :premises (@p567 @p566) :args ((or (not @t296) @t414))) % 208.73/208.97 (step @p569 :rule eq-symm :args (@t404 @t195)) % 208.73/208.97 (step @p570 :rule cong :premises (@p569) :args (@t415)) % 208.73/208.97 (step @p571 :rule refl :args (@t408)) % 208.73/208.97 (step @p572 :rule refl :args (@t409)) % 208.73/208.97 (step @p573 :rule refl :args (@t411)) % 208.73/208.97 (step @p574 :rule refl :args (@t412)) % 208.73/208.97 (step @p575 :rule nary_cong :premises (@p574 @p573 @p572 @p571 @p570) :args (@t416)) % 208.73/208.97 (step @p576 :rule cong :premises (@p575) :args (@t417)) % 208.73/208.97 (step @p577 :rule refl :args (@t296)) % 208.73/208.97 (step @p578 :rule cong :premises (@p577 @p576) :args ((=> @t296 @t417))) % 208.73/208.97 (assume-push @p710 @t296) % 208.73/208.97 (step @p580 :rule skolemize :premises (@p565)) % 208.73/208.97 (step-pop @p711 :rule scope :premises (@p580)) % 208.73/208.97 (step @p581 :rule process_scope :premises (@p711) :args (@t417)) % 208.73/208.97 (step @p583 :rule eq_resolve :premises (@p581 @p578)) % 208.73/208.97 (step @p584 :rule implies_elim :premises (@p583)) % 208.73/208.97 (step @p585 :rule eq_resolve :premises (@p584 @p568)) % 208.73/208.97 (step @p586 :rule chain_m_resolution :premises (@p585 @p565) :args (@t414 @t246 (@list @t199))) % 208.73/208.97 (step @p587 :rule bool-double-not-elim :args (@t249)) % 208.73/208.97 (step @p588 :rule refl :args (@t413)) % 208.73/208.97 (step @p589 :rule nary_cong :premises (@p588 @p587) :args ((or @t413 (not @t409)))) % 208.73/208.97 (step @p590 :rule cnf_or_neg :args (@t413 2)) % 208.73/208.97 (step @p591 :rule eq_resolve :premises (@p590 @p589)) % 208.73/208.97 (step @p592 :rule reordering :premises (@p591) :args ((or @t249 @t413))) % 208.73/208.97 (step @p593 :rule chain_m_resolution :premises (@p592 @p586) :args (@t249 @t246 @t418)) % 208.73/208.97 (step @p594 :rule cnf_equiv_pos1 :args (@t250)) % 208.73/208.97 (step @p595 :rule reordering :premises (@p594) :args ((or @t409 @t248 (not @t250)))) % 208.73/208.97 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p227) :args (@t248 @t252 (@list @t249 @t250))) % 208.73/208.97 (step @p597 :rule cnf_or_pos :args (@t421)) % 208.73/208.97 (step @p598 :rule reordering :premises (@p597) :args ((or @t241 @t419 @t420 (not @t421)))) % 208.73/208.97 (step @p599 :rule chain_m_resolution :premises (@p598 @p224 @p596 @p128) :args (@t419 (@list false false false) (@list @t233 @t248 @t421))) % 208.73/208.97 ; trust TRUST PREPROCESS_SORT_INFER % 208.73/208.97 (step @p600 :rule trust :premises () :args ((= (forall @t427 @t429) (forall @t427 (or @t179 @t160 @t426 @t425 (= @t424 (_ @t189 (_ @t187 @t423) (_ @t187 @t422)))))))) % 208.73/208.97 (step @p601 :rule aci_norm :args ((= @t431 @t429))) % 208.73/208.97 (step @p602 :rule cong :premises (@p601) :args (@t432)) % 208.73/208.97 (step @p603 :rule quant-merge-prenex :args ((= (forall @t25 @t434) @t432))) % 208.73/208.97 (step @p604 :rule alpha_equiv :args (@t435 (@list @t423 @t422) (@list @t4 @t436))) % 208.73/208.97 (step @p605 :rule nary_cong :premises (@p146 @p110 @p604) :args (@t437)) % 208.73/208.97 (step @p606 :rule quant-miniscope-or :args ((= @t434 @t437))) % 208.73/208.97 (step @p607 :rule trans :premises (@p606 @p605)) % 208.73/208.97 (step @p608 :rule symm :premises (@p607)) % 208.73/208.97 (step @p609 :rule cong :premises (@p608) :args ((forall @t25 @t443))) % 208.73/208.97 (step @p610 :rule trans :premises (@p609 @p603)) % 208.73/208.97 (step @p611 :rule trans :premises (@p610 @p602)) % 208.73/208.97 (step @p612 :rule aci_norm :args ((= (or @t226 @t442) @t443))) % 208.73/208.97 (step @p613 :rule refl :args (@t442)) % 208.73/208.97 (step @p614 :rule nary_cong :premises (@p161 @p613) :args ((or @t227 @t442))) % 208.73/208.97 (step @p615 :rule trans :premises (@p614 @p612)) % 208.73/208.97 (step @p616 :rule bool-impl-elim :args (@t69 @t442)) % 208.73/208.97 (step @p617 :rule trans :premises (@p616 @p615)) % 208.73/208.97 (step @p618 :rule cong :premises (@p617) :args ((forall @t25 (=> @t69 @t442)))) % 208.73/208.97 (step @p619 :rule trans :premises (@p618 @p611)) % 208.73/208.97 (step @p620 :rule aci_norm :args ((= @t445 @t440))) % 208.73/208.97 (step @p621 :rule cong :premises (@p620) :args (@t446)) % 208.73/208.97 (step @p622 :rule quant-merge-prenex :args ((= (forall @t17 @t448) @t446))) % 208.73/208.97 (step @p623 :rule alpha_equiv :args (@t449 (@list @t436) (@list @t2))) % 208.73/208.97 (step @p624 :rule refl :args (@t169)) % 208.73/208.97 (step @p625 :rule nary_cong :premises (@p624 @p623) :args (@t450)) % 208.73/208.97 (step @p626 :rule quant-miniscope-or :args ((= @t448 @t450))) % 208.73/208.97 (step @p627 :rule trans :premises (@p626 @p625)) % 208.73/208.97 (step @p628 :rule symm :premises (@p627)) % 208.73/208.97 (step @p629 :rule cong :premises (@p628) :args ((forall @t17 (or @t169 @t451)))) % 208.73/208.97 (step @p630 :rule trans :premises (@p629 @p622)) % 208.73/208.97 (step @p631 :rule trans :premises (@p630 @p621)) % 208.73/208.97 (step @p632 :rule bool-impl-elim :args (@t49 @t451)) % 208.73/208.97 (step @p633 :rule cong :premises (@p632) :args ((forall @t17 (=> @t49 @t451)))) % 208.73/208.97 (step @p634 :rule trans :premises (@p633 @p631)) % 208.73/208.97 (step @p635 :rule bool-impl-elim :args (@t135 @t134)) % 208.73/208.97 (step @p636 :rule cong :premises (@p635) :args (@t136)) % 208.73/208.97 (step @p637 :rule refl :args (@t49)) % 208.73/208.97 (step @p638 :rule cong :premises (@p637 @p636) :args (@t137)) % 208.73/208.97 (step @p639 :rule cong :premises (@p638) :args (@t138)) % 208.73/208.97 (step @p640 :rule trans :premises (@p639 @p634)) % 208.73/208.97 (step @p641 :rule refl :args (@t69)) % 208.73/208.97 (step @p642 :rule cong :premises (@p641 @p640) :args (@t139)) % 208.73/208.97 (step @p643 :rule cong :premises (@p642) :args (@t140)) % 208.73/208.97 (step @p644 :rule trans :premises (@p643 @p619)) % 208.73/208.97 (step @p645 :rule trans :premises (@p644 @p600)) % 208.73/208.97 (step @p646 :rule eq_resolve :premises (@p99 @p645)) % 208.73/208.97 (step @p647 :rule instantiate :premises (@p646) :args ((@list @t183 @t186 @t200))) % 208.73/208.97 (step @p648 :rule instantiate :premises (@p140) :args (@t373)) % 208.73/208.97 (step @p649 :rule cnf_or_pos :args (@t454)) % 208.73/208.97 (step @p650 :rule reordering :premises (@p649) :args ((or @t241 @t453 (not @t454)))) % 208.73/208.97 (step @p651 :rule chain_m_resolution :premises (@p650 @p224 @p648) :args (@t453 @t252 (@list @t233 @t454))) % 208.73/208.97 (step @p652 :rule cnf_equiv_pos1 :args (@t453)) % 208.73/208.97 (step @p653 :rule reordering :premises (@p652) :args ((or @t237 @t452 (not @t453)))) % 208.73/208.97 (step @p654 :rule chain_m_resolution :premises (@p653 @p517 @p651) :args (@t452 @t252 (@list @t236 @t453))) % 208.73/208.97 (step @p655 :rule cnf_or_pos :args (@t459)) % 208.73/208.97 (step @p656 :rule reordering :premises (@p655) :args ((or @t243 @t241 @t458 @t420 @t457 (not @t459)))) % 208.73/208.97 (step @p657 :rule chain_m_resolution :premises (@p656 @p542 @p224 @p654 @p596 @p647) :args (@t457 (@list false false false false false) (@list @t242 @t233 @t452 @t248 @t459))) % 208.73/208.97 (step @p658 :rule bool-double-not-elim :args (@t398)) % 208.73/208.97 (step @p659 :rule nary_cong :premises (@p548 @p658) :args ((or @t400 (not @t399)))) % 208.73/208.97 (step @p660 :rule cnf_or_neg :args (@t400 1)) % 208.73/208.97 (step @p661 :rule eq_resolve :premises (@p660 @p659)) % 208.73/208.97 (step @p662 :rule reordering :premises (@p661) :args ((or @t398 @t400))) % 208.73/208.97 (step @p663 :rule chain_m_resolution :premises (@p662 @p546) :args (@t398 @t246 @t401)) % 208.73/208.97 (step @p664 :rule true_intro :premises (@p663)) % 208.73/208.97 (step @p665 :rule bool-double-not-elim :args (@t405)) % 208.73/208.97 (step @p666 :rule nary_cong :premises (@p588 @p665) :args ((or @t413 (not @t406)))) % 208.73/208.97 (step @p667 :rule cnf_or_neg :args (@t413 4)) % 208.73/208.97 (step @p668 :rule eq_resolve :premises (@p667 @p666)) % 208.73/208.98 (step @p669 :rule reordering :premises (@p668) :args ((or @t405 @t413))) % 208.73/208.98 (step @p670 :rule chain_m_resolution :premises (@p669 @p586) :args (@t405 @t246 @t418)) % 208.73/208.98 (step @p671 :rule symm :premises (@p670)) % 208.73/208.98 (step @p672 :rule refl :args (@t188)) % 208.73/208.98 (step @p673 :rule cong :premises (@p672 @p671) :args (@t455)) % 208.73/208.98 (step @p674 :rule trans :premises (@p673 @p664)) % 208.73/208.98 (step @p675 :rule true_elim :premises (@p674)) % 208.73/208.98 (step @p676 :rule cnf_equiv_pos2 :args (@t457)) % 208.73/208.98 (step @p677 :rule reordering :premises (@p676) :args ((or @t456 (not @t455) (not @t457)))) % 208.73/208.98 (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p657) :args (@t456 @t252 (@list @t455 @t457))) % 208.73/208.98 (step @p679 :rule bool-double-not-elim :args (@t234)) % 208.73/208.98 (step @p680 :rule nary_cong :premises (@p219 @p679) :args ((or @t245 (not @t235)))) % 208.73/208.98 (step @p681 :rule cnf_or_neg :args (@t245 6)) % 208.73/208.98 (step @p682 :rule eq_resolve :premises (@p681 @p680)) % 208.73/208.98 (step @p683 :rule reordering :premises (@p682) :args ((or @t234 @t245))) % 208.73/208.98 (step @p684 :rule chain_m_resolution :premises (@p683 @p217) :args (@t234 @t246 @t247)) % 208.73/208.98 (step @p685 :rule instantiate :premises (@p684) :args ((@list @t200))) % 208.73/208.98 (step @p686 :rule bool-double-not-elim :args (@t407)) % 208.73/208.98 (step @p687 :rule nary_cong :premises (@p588 @p686) :args ((or @t413 (not @t408)))) % 208.73/208.98 (step @p688 :rule cnf_or_neg :args (@t413 3)) % 208.73/208.98 (step @p689 :rule eq_resolve :premises (@p688 @p687)) % 208.73/208.98 (step @p690 :rule reordering :premises (@p689) :args ((or @t407 @t413))) % 208.73/208.98 (step @p691 :rule chain_m_resolution :premises (@p690 @p586) :args (@t407 @t246 @t418)) % 208.73/208.98 (step @p692 :rule bool-double-not-elim :args (@t410)) % 208.73/208.98 (step @p693 :rule nary_cong :premises (@p588 @p692) :args ((or @t413 (not @t411)))) % 208.73/208.98 (step @p694 :rule cnf_or_neg :args (@t413 1)) % 208.73/208.98 (step @p695 :rule eq_resolve :premises (@p694 @p693)) % 208.73/208.98 (step @p696 :rule reordering :premises (@p695) :args ((or @t410 @t413))) % 208.73/208.98 (step @p697 :rule chain_m_resolution :premises (@p696 @p586) :args (@t410 @t246 @t418)) % 208.73/208.98 (step @p698 :rule cnf_or_pos :args (@t462)) % 208.73/208.98 (step @p699 :rule reordering :premises (@p698) :args ((or @t411 @t409 @t408 @t461 (not @t462)))) % 208.73/208.98 (step @p700 :rule chain_m_resolution :premises (@p699 @p697 @p593 @p691 @p685) :args (@t461 (@list false false false false) (@list @t410 @t249 @t407 @t462))) % 208.73/208.98 (step @p701 :rule cnf_equiv_pos2 :args (@t463)) % 208.73/208.98 (step @p702 :rule reordering :premises (@p701) :args ((or @t460 (not @t456) @t464))) % 208.73/208.98 (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p678) :args (@t464 (@list true false) (@list @t460 @t456))) % 208.73/208.98 (step @p704 :rule instantiate :premises (@p140) :args ((@list @t200 @t186))) % 208.73/208.98 (step @p705 :rule cnf_or_pos :args (@t466)) % 208.73/208.98 (step @p706 :rule reordering :premises (@p705) :args ((or @t465 @t463 (not @t466)))) % 208.73/208.98 (step @p707 false :rule chain_m_resolution :premises (@p706 @p704 @p703 @p599) :args (false (@list false true false) (@list @t466 @t463 @t419))) % 208.73/208.98 ) % 208.73/208.98 % SZS output end Proof % 208.73/208.98 % cvc5 exiting %------------------------------------------------------------------------------