%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP024+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 : n016.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 0.38s 0.72s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : TOP024+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 01:18:24 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.72 % SZS status Theorem % 0.38/0.72 % SZS output start Proof % 0.38/0.72 ( % 0.38/0.72 (declare-sort $$unsorted 0) % 0.38/0.72 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_tsp_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.k3_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.72 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.38/0.72 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.38/0.72 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_tsp_2 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.38/0.72 (declare-const tptp.k6_pre_topc (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.72 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.k2_pre_topc (-> $$unsorted $$unsorted)) % 0.38/0.72 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.38/0.72 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 0.38/0.72 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.72 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.72 (define @t3 () (tptp.v1_tops_1 @t2 @t1)) % 0.38/0.72 (define @t4 () (tptp.v1_tsp_2 @t2 @t1)) % 0.38/0.72 (define @t5 () (=> @t4 @t3)) % 0.38/0.72 (define @t6 () (tptp.u1_struct_0 @t1)) % 0.38/0.72 (define @t7 () (tptp.k1_zfmisc_1 @t6)) % 0.38/0.72 (define @t8 () (tptp.m1_subset_1 @t2 @t7)) % 0.38/0.72 (define @t9 () (@list @t2)) % 0.38/0.72 (define @t10 () (forall @t9 (=> @t8 @t5))) % 0.38/0.72 (define @t11 () (tptp.l1_pre_topc @t1)) % 0.38/0.72 (define @t12 () (tptp.v2_pre_topc @t1)) % 0.38/0.72 (define @t13 () (tptp.v3_struct_0 @t1)) % 0.38/0.72 (define @t14 () (not @t13)) % 0.38/0.72 (define @t15 () (and @t14 @t12 @t11)) % 0.38/0.72 (define @t16 () (=> @t15 @t10)) % 0.38/0.72 (define @t17 () (@list @t1)) % 0.38/0.72 (define @t18 () (forall @t17 @t16)) % 0.38/0.72 (define @t19 () (not @t18)) % 0.38/0.72 (define @t20 () (tptp.r2_hidden @t1 @t2)) % 0.38/0.72 (define @t21 () (@list @t1 @t2)) % 0.38/0.72 (define @t22 () (tptp.v1_xcmplx_0 @t2)) % 0.38/0.72 (define @t23 () (tptp.m1_subset_1 @t2 @t1)) % 0.38/0.72 (define @t24 () (tptp.v1_membered @t1)) % 0.38/0.72 (define @t25 () (tptp.v1_xreal_0 @t2)) % 0.38/0.72 (define @t26 () (tptp.v2_membered @t1)) % 0.38/0.72 (define @t27 () (tptp.v1_rat_1 @t2)) % 0.38/0.72 (define @t28 () (tptp.v3_membered @t1)) % 0.38/0.72 (define @t29 () (tptp.v1_int_1 @t2)) % 0.38/0.72 (define @t30 () (tptp.v4_membered @t1)) % 0.38/0.72 (define @t31 () (tptp.v5_membered @t1)) % 0.38/0.72 (define @t32 () (tptp.v1_xboole_0 @t1)) % 0.38/0.72 (define @t33 () (tptp.v1_membered @t2)) % 0.38/0.72 (define @t34 () (tptp.k1_zfmisc_1 @t1)) % 0.38/0.72 (define @t35 () (tptp.m1_subset_1 @t2 @t34)) % 0.38/0.72 (define @t36 () (tptp.v2_membered @t2)) % 0.38/0.72 (define @t37 () (tptp.v3_membered @t2)) % 0.38/0.72 (define @t38 () (tptp.v4_membered @t2)) % 0.38/0.72 (define @t39 () (tptp.v4_pre_topc @t2 @t1)) % 0.38/0.72 (define @t40 () (tptp.v3_pre_topc @t2 @t1)) % 0.38/0.72 (define @t41 () (tptp.v1_xboole_0 @t2)) % 0.38/0.72 (define @t42 () (and @t12 @t11)) % 0.38/0.72 (define @t43 () (tptp.v5_membered @t2)) % 0.38/0.72 (define @t44 () (tptp.v2_tops_1 @t2 @t1)) % 0.38/0.72 (define @t45 () (tptp.v3_tops_1 @t2 @t1)) % 0.38/0.72 (define @t46 () (tptp.k6_pre_topc @t1 @t2)) % 0.38/0.72 (define @t47 () (= @t3 (= @t46 @t6))) % 0.38/0.72 (define @t48 () (=> @t8 @t47)) % 0.38/0.72 (define @t49 () (forall @t9 @t48)) % 0.38/0.72 (define @t50 () (=> @t11 @t49)) % 0.38/0.72 (define @t51 () (forall @t17 @t50)) % 0.38/0.72 (define @t52 () (tptp.k3_tex_4 @t1 @t2)) % 0.38/0.72 (define @t53 () (tptp.v1_tsp_1 @t2 @t1)) % 0.38/0.72 (define @t54 () (and @t53 (= @t52 @t6))) % 0.38/0.72 (define @t55 () (= @t4 @t54)) % 0.38/0.72 (define @t56 () (=> @t8 @t55)) % 0.38/0.72 (define @t57 () (forall @t9 @t56)) % 0.38/0.72 (define @t58 () (=> @t15 @t57)) % 0.38/0.72 (define @t59 () (forall @t17 @t58)) % 0.38/0.72 (define @t60 () (tptp.k2_pre_topc @t1)) % 0.38/0.72 (define @t61 () (tptp.m1_subset_1 @t60 @t7)) % 0.38/0.72 (define @t62 () (tptp.l1_struct_0 @t1)) % 0.38/0.72 (define @t63 () (forall @t17 (=> @t62 @t61))) % 0.38/0.72 (define @t64 () (forall @t17 (=> @t11 @t62))) % 0.38/0.72 (define @t65 () (and @t14 @t62)) % 0.38/0.72 (define @t66 () (tptp.v4_pre_topc @t60 @t1)) % 0.38/0.72 (define @t67 () (tptp.v1_tops_1 @t60 @t1)) % 0.38/0.72 (define @t68 () (forall @t17 (=> @t11 @t67))) % 0.38/0.72 (define @t69 () (not @t32)) % 0.38/0.72 (define @t70 () (not @t41)) % 0.38/0.72 (define @t71 () (=> @t62 (= @t60 @t6))) % 0.38/0.72 (define @t72 () (forall @t17 @t71)) % 0.38/0.72 (define @t73 () (tptp.m1_subset_1 @t1 @t2)) % 0.38/0.72 (define @t74 () (@var "C" $$unsorted)) % 0.38/0.72 (define @t75 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t74))) % 0.38/0.72 (define @t76 () (@list @t1 @t2 @t74)) % 0.38/0.72 (define @t77 () (= @t46 @t2)) % 0.38/0.72 (define @t78 () (tptp.k6_pre_topc @t1 @t52)) % 0.38/0.72 (define @t79 () (=> @t8 (= @t78 @t46))) % 0.38/0.72 (define @t80 () (forall @t9 @t79)) % 0.38/0.72 (define @t81 () (=> @t15 @t80)) % 0.38/0.72 (define @t82 () (forall @t17 @t81)) % 0.38/0.72 (define @t83 () (@var "BOUND_VARIABLE_8470" $$unsorted)) % 0.38/0.72 (define @t84 () (= (tptp.k6_pre_topc @t1 @t83) (tptp.k6_pre_topc @t1 (tptp.k3_tex_4 @t1 @t83)))) % 0.38/0.72 (define @t85 () (not (tptp.m1_subset_1 @t83 @t7))) % 0.38/0.72 (define @t86 () (not @t11)) % 0.38/0.72 (define @t87 () (not @t12)) % 0.38/0.72 (define @t88 () (or @t85 @t84)) % 0.38/0.72 (define @t89 () (or @t13 @t87 @t86 @t88)) % 0.38/0.72 (define @t90 () (forall (@list @t1 @t83) @t89)) % 0.38/0.72 (define @t91 () (@list @t83)) % 0.38/0.72 (define @t92 () (forall @t91 @t89)) % 0.38/0.72 (define @t93 () (forall @t91 @t88)) % 0.38/0.72 (define @t94 () (@list @t2)) % 0.38/0.72 (define @t95 () (or @t13 @t87 @t86 @t93)) % 0.38/0.72 (define @t96 () (= @t46 @t78)) % 0.38/0.72 (define @t97 () (not @t8)) % 0.38/0.72 (define @t98 () (forall @t9 (or @t97 @t96))) % 0.38/0.72 (define @t99 () (or @t13 @t87 @t86 @t98)) % 0.38/0.72 (define @t100 () (or @t13 @t87 @t86)) % 0.38/0.72 (define @t101 () (not @t14)) % 0.38/0.72 (define @t102 () (or @t101 @t87 @t86)) % 0.38/0.72 (define @t103 () (not @t15)) % 0.38/0.72 (define @t104 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 0.38/0.72 (define @t105 () (tptp.v1_tops_1 @t104 @t1)) % 0.38/0.72 (define @t106 () (not (tptp.v1_tsp_2 @t104 @t1))) % 0.38/0.72 (define @t107 () (not (tptp.m1_subset_1 @t104 @t7))) % 0.38/0.72 (define @t108 () (or @t13 @t87 @t86 @t107 @t106 @t105)) % 0.38/0.72 (define @t109 () (@list @t1 @t104)) % 0.38/0.72 (define @t110 () (forall @t109 @t108)) % 0.38/0.72 (define @t111 () (@quantifiers_skolemize @t110 1)) % 0.38/0.72 (define @t112 () (@quantifiers_skolemize @t110 0)) % 0.38/0.72 (define @t113 () (@list @t112 @t111)) % 0.38/0.72 (define @t114 () (or @t107 @t106 @t105)) % 0.38/0.72 (define @t115 () (or @t13 @t87 @t86 @t114)) % 0.38/0.72 (define @t116 () (forall @t109 @t115)) % 0.38/0.72 (define @t117 () (@list @t104)) % 0.38/0.72 (define @t118 () (forall @t117 @t115)) % 0.38/0.72 (define @t119 () (forall @t117 @t114)) % 0.38/0.72 (define @t120 () (or @t13 @t87 @t86 @t119)) % 0.38/0.72 (define @t121 () (not @t4)) % 0.38/0.72 (define @t122 () (or @t97 @t121 @t3)) % 0.38/0.72 (define @t123 () (forall @t9 @t122)) % 0.38/0.72 (define @t124 () (or @t13 @t87 @t86 @t123)) % 0.38/0.72 (define @t125 () (tptp.u1_struct_0 @t112)) % 0.38/0.72 (define @t126 () (tptp.k1_zfmisc_1 @t125)) % 0.38/0.72 (define @t127 () (tptp.m1_subset_1 @t111 @t126)) % 0.38/0.72 (define @t128 () (tptp.v1_tops_1 @t111 @t112)) % 0.38/0.72 (define @t129 () (tptp.v1_tsp_2 @t111 @t112)) % 0.38/0.72 (define @t130 () (not @t129)) % 0.38/0.72 (define @t131 () (not @t127)) % 0.38/0.72 (define @t132 () (tptp.l1_pre_topc @t112)) % 0.38/0.72 (define @t133 () (not @t132)) % 0.38/0.72 (define @t134 () (tptp.v2_pre_topc @t112)) % 0.38/0.72 (define @t135 () (not @t134)) % 0.38/0.72 (define @t136 () (tptp.v3_struct_0 @t112)) % 0.38/0.72 (define @t137 () (or @t136 @t135 @t133 @t131 @t130 @t128)) % 0.38/0.72 (define @t138 () (@list true)) % 0.38/0.72 (define @t139 () (@list @t137)) % 0.38/0.72 (define @t140 () (tptp.k3_tex_4 @t112 @t111)) % 0.38/0.72 (define @t141 () (tptp.k6_pre_topc @t112 @t111)) % 0.38/0.72 (define @t142 () (= @t141 (tptp.k6_pre_topc @t112 @t140))) % 0.38/0.72 (define @t143 () (or @t136 @t135 @t133 @t131 @t142)) % 0.38/0.72 (define @t144 () (@list true false false false false)) % 0.38/0.72 (define @t145 () (@var "BOUND_VARIABLE_8180" $$unsorted)) % 0.38/0.72 (define @t146 () (= (tptp.v1_tops_1 @t145 @t1) (= @t6 (tptp.k6_pre_topc @t1 @t145)))) % 0.38/0.72 (define @t147 () (not (tptp.m1_subset_1 @t145 @t7))) % 0.38/0.72 (define @t148 () (or @t147 @t146)) % 0.38/0.72 (define @t149 () (or @t86 @t148)) % 0.38/0.72 (define @t150 () (forall (@list @t1 @t145) @t149)) % 0.38/0.72 (define @t151 () (@list @t145)) % 0.38/0.72 (define @t152 () (forall @t151 @t149)) % 0.38/0.72 (define @t153 () (forall @t151 @t148)) % 0.38/0.72 (define @t154 () (or @t86 @t153)) % 0.38/0.72 (define @t155 () (= @t3 (= @t6 @t46))) % 0.38/0.72 (define @t156 () (forall @t9 (or @t97 @t155))) % 0.38/0.72 (define @t157 () (= @t125 @t141)) % 0.38/0.72 (define @t158 () (= @t128 @t157)) % 0.38/0.72 (define @t159 () (or @t133 @t131 @t158)) % 0.38/0.72 (define @t160 () (@list false false false)) % 0.38/0.72 (define @t161 () (not @t157)) % 0.38/0.72 (define @t162 () (= @t6 @t60)) % 0.38/0.72 (define @t163 () (@list @t112)) % 0.38/0.72 (define @t164 () (tptp.l1_struct_0 @t112)) % 0.38/0.72 (define @t165 () (or @t133 @t164)) % 0.38/0.72 (define @t166 () (@list false false)) % 0.38/0.72 (define @t167 () (tptp.k2_pre_topc @t112)) % 0.38/0.72 (define @t168 () (= @t125 @t167)) % 0.38/0.72 (define @t169 () (not @t164)) % 0.38/0.72 (define @t170 () (or @t169 @t168)) % 0.38/0.72 (define @t171 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 0.38/0.72 (define @t172 () (= (tptp.v1_tsp_2 @t171 @t1) (and (tptp.v1_tsp_1 @t171 @t1) (= @t6 (tptp.k3_tex_4 @t1 @t171))))) % 0.38/0.72 (define @t173 () (not (tptp.m1_subset_1 @t171 @t7))) % 0.38/0.72 (define @t174 () (or @t173 @t172)) % 0.38/0.72 (define @t175 () (or @t13 @t87 @t86 @t174)) % 0.38/0.72 (define @t176 () (forall (@list @t1 @t171) @t175)) % 0.38/0.72 (define @t177 () (@list @t171)) % 0.38/0.72 (define @t178 () (forall @t177 @t175)) % 0.38/0.72 (define @t179 () (forall @t177 @t174)) % 0.38/0.72 (define @t180 () (or @t13 @t87 @t86 @t179)) % 0.38/0.72 (define @t181 () (= @t4 (and @t53 (= @t6 @t52)))) % 0.38/0.72 (define @t182 () (forall @t9 (or @t97 @t181))) % 0.38/0.72 (define @t183 () (or @t13 @t87 @t86 @t182)) % 0.38/0.72 (define @t184 () (= @t125 @t140)) % 0.38/0.72 (define @t185 () (and (tptp.v1_tsp_1 @t111 @t112) @t184)) % 0.38/0.72 (define @t186 () (= @t129 @t185)) % 0.38/0.72 (define @t187 () (or @t136 @t135 @t133 @t131 @t186)) % 0.38/0.72 (define @t188 () (tptp.m1_subset_1 @t167 @t126)) % 0.38/0.72 (define @t189 () (or @t169 @t188)) % 0.38/0.72 (define @t190 () (tptp.k6_pre_topc @t112 @t167)) % 0.38/0.72 (define @t191 () (= @t125 @t190)) % 0.38/0.72 (define @t192 () (tptp.v1_tops_1 @t167 @t112)) % 0.38/0.72 (define @t193 () (= @t192 @t191)) % 0.38/0.72 (define @t194 () (not @t188)) % 0.38/0.72 (define @t195 () (or @t133 @t194 @t193)) % 0.38/0.72 (define @t196 () (or @t133 @t192)) % 0.38/0.72 (define @t197 () (not @t191)) % 0.38/0.72 (define @t198 () (not @t142)) % 0.38/0.72 (define @t199 () (not @t168)) % 0.38/0.72 (define @t200 () (not @t184)) % 0.38/0.72 (define @t201 () (= @t167 @t190)) % 0.38/0.72 (define @t202 () (not @t201)) % 0.38/0.72 (define @t203 () (and @t168 @t191 @t202)) % 0.38/0.72 (assume @p1 @t19) % 0.38/0.72 (assume @p2 (forall @t21 (=> @t20 (not (tptp.r2_hidden @t2 @t1))))) % 0.38/0.72 (assume @p3 (forall @t17 (=> @t24 (forall @t9 (=> @t23 @t22))))) % 0.38/0.72 (assume @p4 (forall @t17 (=> @t26 (forall @t9 (=> @t23 (and @t22 @t25)))))) % 0.38/0.72 (assume @p5 (forall @t17 (=> @t28 (forall @t9 (=> @t23 (and @t22 @t25 @t27)))))) % 0.38/0.72 (assume @p6 (forall @t17 (=> @t30 (forall @t9 (=> @t23 (and @t22 @t25 @t29 @t27)))))) % 0.38/0.72 (assume @p7 (forall @t17 (=> @t31 (forall @t9 (=> @t23 (and @t22 (tptp.v4_ordinal2 @t2) @t25 @t29 @t27)))))) % 0.38/0.72 (assume @p8 (forall @t17 (=> @t32 (and @t24 @t26 @t28 @t30 @t31)))) % 0.38/0.72 (assume @p9 (forall @t17 (=> @t24 (forall @t9 (=> @t35 @t33))))) % 0.38/0.72 (assume @p10 (forall @t17 (=> @t26 (forall @t9 (=> @t35 (and @t33 @t36)))))) % 0.38/0.72 (assume @p11 (forall @t17 (=> @t28 (forall @t9 (=> @t35 (and @t33 @t36 @t37)))))) % 0.38/0.72 (assume @p12 (forall @t17 (=> @t30 (forall @t9 (=> @t35 (and @t33 @t36 @t37 @t38)))))) % 0.38/0.72 (assume @p13 (forall @t17 (=> @t31 @t30))) % 0.38/0.72 (assume @p14 (forall @t17 (=> @t42 (forall @t9 (=> @t8 (=> @t41 (and @t40 @t39))))))) % 0.38/0.72 (assume @p15 (forall @t17 (=> @t31 (forall @t9 (=> @t35 (and @t33 @t36 @t37 @t38 @t43)))))) % 0.38/0.72 (assume @p16 (forall @t17 (=> @t30 @t28))) % 0.38/0.72 (assume 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(step @p85 :rule trans :premises (@p84 @p83)) % 0.38/0.72 (step @p86 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.38/0.72 (step @p87 :rule refl :args (@t101)) % 0.38/0.72 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t101 (not @t42)))) % 0.38/0.72 (step @p89 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 0.38/0.72 (step @p90 :rule trans :premises (@p89 @p88)) % 0.38/0.72 (step @p91 :rule trans :premises (@p90 @p85)) % 0.38/0.72 (step @p92 :rule nary_cong :premises (@p91 @p81) :args ((or @t103 @t98))) % 0.38/0.72 (step @p93 :rule trans :premises (@p92 @p80)) % 0.38/0.72 (step @p94 :rule bool-impl-elim :args (@t15 @t98)) % 0.38/0.72 (step @p95 :rule trans :premises (@p94 @p93)) % 0.38/0.72 (step @p96 :rule cong :premises (@p95) :args ((forall @t17 (=> @t15 @t98)))) % 0.38/0.72 (step @p97 :rule trans :premises (@p96 @p79)) % 0.38/0.72 (step @p98 :rule bool-impl-elim :args (@t8 @t96)) % 0.38/0.72 (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> 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@t147 @t146)))) % 0.38/0.72 (step @p169 :rule cong :premises (@p168) :args (@t150)) % 0.38/0.72 (step @p170 :rule quant-merge-prenex :args ((= (forall @t17 @t152) @t150))) % 0.38/0.72 (step @p171 :rule alpha_equiv :args (@t153 (@list @t145) @t94)) % 0.38/0.72 (step @p172 :rule nary_cong :premises (@p70 @p171) :args (@t154)) % 0.38/0.72 (step @p173 :rule quant-miniscope-or :args ((= @t152 @t154))) % 0.38/0.72 (step @p174 :rule trans :premises (@p173 @p172)) % 0.38/0.72 (step @p175 :rule symm :premises (@p174)) % 0.38/0.72 (step @p176 :rule cong :premises (@p175) :args ((forall @t17 (or @t86 @t156)))) % 0.38/0.72 (step @p177 :rule trans :premises (@p176 @p170)) % 0.38/0.72 (step @p178 :rule trans :premises (@p177 @p169)) % 0.38/0.72 (step @p179 :rule bool-impl-elim :args (@t11 @t156)) % 0.38/0.72 (step @p180 :rule cong :premises (@p179) :args ((forall @t17 (=> @t11 @t156)))) % 0.38/0.72 (step @p181 :rule trans :premises (@p180 @p178)) % 0.38/0.72 (step @p182 :rule bool-impl-elim :args 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@t133 @t131 @t158 (not @t159)))) % 0.38/0.72 (step @p198 :rule chain_m_resolution :premises (@p197 @p156 @p150 @p195) :args (@t158 @t160 (@list @t132 @t127 @t159))) % 0.38/0.72 (step @p199 :rule cnf_or_neg :args (@t137 5)) % 0.38/0.72 (step @p200 :rule chain_m_resolution :premises (@p199 @p143) :args ((not @t128) @t138 @t139)) % 0.38/0.72 (step @p201 :rule cnf_equiv_pos2 :args (@t158)) % 0.38/0.72 (step @p202 :rule reordering :premises (@p201) :args ((or @t128 @t161 (not @t158)))) % 0.38/0.72 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p198) :args (@t161 (@list true false) (@list @t128 @t158))) % 0.38/0.72 (step @p204 :rule bool-impl-elim :args (@t62 @t162)) % 0.38/0.72 (step @p205 :rule cong :premises (@p204) :args ((forall @t17 (=> @t62 @t162)))) % 0.38/0.72 (step @p206 :rule eq-symm :args (@t60 @t6)) % 0.38/0.72 (step @p207 :rule refl :args (@t62)) % 0.38/0.72 (step @p208 :rule cong :premises (@p207 @p206) :args (@t71)) % 0.38/0.72 (step @p209 :rule cong :premises (@p208) :args (@t72)) % 0.38/0.72 (step @p210 :rule trans :premises (@p209 @p205)) % 0.38/0.72 (step @p211 :rule eq_resolve :premises (@p55 @p210)) % 0.38/0.72 (step @p212 :rule instantiate :premises (@p211) :args (@t163)) % 0.38/0.72 (step @p213 :rule bool-impl-elim :args (@t11 @t62)) % 0.38/0.72 (step @p214 :rule cong :premises (@p213) :args (@t64)) % 0.38/0.72 (step @p215 :rule eq_resolve :premises (@p30 @p214)) % 0.38/0.72 (step @p216 :rule instantiate :premises (@p215) :args (@t163)) % 0.38/0.72 (step @p217 :rule cnf_or_pos :args (@t165)) % 0.38/0.72 (step @p218 :rule reordering :premises (@p217) :args ((or @t133 @t164 (not @t165)))) % 0.38/0.72 (step @p219 :rule chain_m_resolution :premises (@p218 @p156 @p216) :args (@t164 @t166 (@list @t132 @t165))) % 0.38/0.72 (step @p220 :rule cnf_or_pos :args (@t170)) % 0.38/0.72 (step @p221 :rule reordering :premises (@p220) :args ((or @t169 @t168 (not @t170)))) % 0.38/0.72 (step @p222 :rule chain_m_resolution :premises (@p221 @p219 @p212) :args (@t168 @t166 (@list @t164 @t170))) % 0.38/0.72 (step @p223 :rule aci_norm :args ((= @t175 (or @t13 @t87 @t86 @t173 @t172)))) % 0.38/0.72 (step @p224 :rule cong :premises (@p223) :args (@t176)) % 0.38/0.72 (step @p225 :rule quant-merge-prenex :args ((= (forall @t17 @t178) @t176))) % 0.38/0.72 (step @p226 :rule alpha_equiv :args (@t179 (@list @t171) @t94)) % 0.38/0.72 (step @p227 :rule nary_cong :premises (@p72 @p71 @p70 @p226) :args (@t180)) % 0.38/0.72 (step @p228 :rule quant-miniscope-or :args ((= @t178 @t180))) % 0.38/0.72 (step @p229 :rule trans :premises (@p228 @p227)) % 0.38/0.72 (step @p230 :rule symm :premises (@p229)) % 0.38/0.72 (step @p231 :rule cong :premises (@p230) :args ((forall @t17 @t183))) % 0.38/0.72 (step @p232 :rule trans :premises (@p231 @p225)) % 0.38/0.72 (step @p233 :rule trans :premises (@p232 @p224)) % 0.38/0.72 (step @p234 :rule aci_norm :args ((= (or @t100 @t182) @t183))) % 0.38/0.72 (step @p235 :rule refl :args (@t182)) % 0.38/0.72 (step @p236 :rule nary_cong :premises (@p91 @p235) :args ((or @t103 @t182))) % 0.38/0.72 (step @p237 :rule trans :premises (@p236 @p234)) % 0.38/0.72 (step @p238 :rule bool-impl-elim :args (@t15 @t182)) % 0.38/0.72 (step @p239 :rule trans :premises (@p238 @p237)) % 0.38/0.72 (step @p240 :rule cong :premises (@p239) :args ((forall @t17 (=> @t15 @t182)))) % 0.38/0.72 (step @p241 :rule trans :premises (@p240 @p233)) % 0.38/0.72 (step @p242 :rule bool-impl-elim :args (@t8 @t181)) % 0.38/0.72 (step @p243 :rule cong :premises (@p242) :args ((forall @t9 (=> @t8 @t181)))) % 0.38/0.72 (step @p244 :rule eq-symm :args (@t52 @t6)) % 0.38/0.72 (step @p245 :rule refl :args (@t53)) % 0.38/0.72 (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t54)) % 0.38/0.72 (step @p247 :rule refl :args (@t4)) % 0.38/0.72 (step @p248 :rule cong :premises (@p247 @p246) :args (@t55)) % 0.38/0.72 (step @p249 :rule cong :premises (@p101 @p248) :args (@t56)) % 0.38/0.72 (step @p250 :rule cong :premises (@p249) :args (@t57)) % 0.38/0.72 (step @p251 :rule trans :premises (@p250 @p243)) % 0.38/0.72 (step @p252 :rule cong :premises (@p105 @p251) :args (@t58)) % 0.38/0.72 (step @p253 :rule cong :premises (@p252) :args (@t59)) % 0.38/0.72 (step @p254 :rule trans :premises (@p253 @p241)) % 0.38/0.72 (step @p255 :rule eq_resolve :premises (@p25 @p254)) % 0.38/0.72 (step @p256 :rule instantiate :premises (@p255) :args (@t113)) % 0.38/0.72 (step @p257 :rule cnf_or_pos :args (@t187)) % 0.38/0.72 (step @p258 :rule reordering :premises (@p257) :args ((or @t136 @t135 @t133 @t131 @t186 (not @t187)))) % 0.38/0.72 (step @p259 :rule chain_m_resolution :premises (@p258 @p164 @p162 @p156 @p150 @p256) :args (@t186 @t144 (@list @t136 @t134 @t132 @t127 @t187))) % 0.38/0.72 (step @p260 :rule bool-double-not-elim :args (@t129)) % 0.38/0.72 (step @p261 :rule nary_cong :premises (@p145 @p260) :args ((or @t137 (not @t130)))) % 0.38/0.72 (step @p262 :rule cnf_or_neg :args (@t137 4)) % 0.38/0.72 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.38/0.72 (step @p264 :rule reordering :premises (@p263) :args ((or @t129 @t137))) % 0.38/0.72 (step @p265 :rule chain_m_resolution :premises (@p264 @p143) :args (@t129 @t138 @t139)) % 0.38/0.72 (step @p266 :rule cnf_equiv_pos1 :args (@t186)) % 0.38/0.72 (step @p267 :rule reordering :premises (@p266) :args ((or @t130 @t185 (not @t186)))) % 0.38/0.72 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p259) :args (@t185 @t166 (@list @t129 @t186))) % 0.38/0.72 (step @p269 :rule cnf_and_pos :args (@t185 1)) % 0.38/0.72 (step @p270 :rule reordering :premises (@p269) :args ((or @t184 (not @t185)))) % 0.38/0.72 (step @p271 :rule chain_m_resolution :premises (@p270 @p268) :args (@t184 (@list false) (@list @t185))) % 0.38/0.72 (step @p272 :rule instantiate :premises (@p194) :args ((@list @t112 @t167))) % 0.38/0.72 (step @p273 :rule bool-impl-elim :args (@t62 @t61)) % 0.38/0.72 (step @p274 :rule cong :premises (@p273) :args (@t63)) % 0.38/0.72 (step @p275 :rule eq_resolve :premises (@p27 @p274)) % 0.38/0.72 (step @p276 :rule instantiate :premises (@p275) :args (@t163)) % 0.38/0.72 (step @p277 :rule cnf_or_pos :args (@t189)) % 0.38/0.72 (step @p278 :rule reordering :premises (@p277) :args ((or @t169 @t188 (not @t189)))) % 0.38/0.72 (step @p279 :rule chain_m_resolution :premises (@p278 @p219 @p276) :args (@t188 @t166 (@list @t164 @t189))) % 0.38/0.72 (step @p280 :rule cnf_or_pos :args (@t195)) % 0.38/0.72 (step @p281 :rule reordering :premises (@p280) :args ((or @t133 @t194 @t193 (not @t195)))) % 0.38/0.73 (step @p282 :rule chain_m_resolution :premises (@p281 @p156 @p279 @p272) :args (@t193 @t160 (@list @t132 @t188 @t195))) % 0.38/0.73 (step @p283 :rule bool-impl-elim :args (@t11 @t67)) % 0.38/0.73 (step @p284 :rule cong :premises (@p283) :args (@t68)) % 0.38/0.73 (step @p285 :rule eq_resolve :premises (@p41 @p284)) % 0.38/0.73 (step @p286 :rule instantiate :premises (@p285) :args (@t163)) % 0.38/0.73 (step @p287 :rule cnf_or_pos :args (@t196)) % 0.38/0.73 (step @p288 :rule reordering :premises (@p287) :args ((or @t133 @t192 (not @t196)))) % 0.38/0.73 (step @p289 :rule chain_m_resolution :premises (@p288 @p156 @p286) :args (@t192 @t166 (@list @t132 @t196))) % 0.38/0.73 (step @p290 :rule cnf_equiv_pos1 :args (@t193)) % 0.38/0.73 (step @p291 :rule reordering :premises (@p290) :args ((or (not @t192) @t191 (not @t193)))) % 0.38/0.73 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p282) :args (@t191 @t166 (@list @t192 @t193))) % 0.38/0.73 (step @p293 :rule refl :args (@t197)) % 0.38/0.73 (step @p294 :rule bool-double-not-elim :args (@t157)) % 0.38/0.73 (step @p295 :rule refl :args (@t198)) % 0.38/0.73 (step @p296 :rule refl :args (@t199)) % 0.38/0.73 (step @p297 :rule refl :args (@t200)) % 0.38/0.73 (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294 @p293) :args ((or @t200 @t199 @t198 (not @t161) @t197))) % 0.38/0.73 (assume-push @p343 @t168) % 0.38/0.73 (assume-push @p344 @t191) % 0.38/0.73 (assume-push @p345 @t202) % 0.38/0.73 (step @p302 :rule evaluate :args ((= false true))) % 0.38/0.73 (step @p303 :rule symm :premises (@p292)) % 0.38/0.73 (step @p304 :rule trans :premises (@p303 @p222)) % 0.38/0.73 (step @p305 :rule symm :premises (@p304)) % 0.38/0.73 (step @p306 :rule true_intro :premises (@p305)) % 0.38/0.73 (step @p307 :rule false_intro :premises (@p203)) % 0.38/0.73 (step @p308 :rule symm :premises (@p167)) % 0.38/0.73 (step @p309 :rule symm :premises (@p222)) % 0.38/0.73 (step @p310 :rule trans :premises (@p309 @p271)) % 0.38/0.73 (step @p311 :rule refl :args (@t112)) % 0.38/0.73 (step @p312 :rule cong :premises (@p311 @p310) :args (@t190)) % 0.38/0.73 (step @p313 :rule trans :premises (@p312 @p308)) % 0.38/0.73 (step @p314 :rule cong :premises (@p309 @p313) :args (@t201)) % 0.38/0.73 (step @p315 :rule trans :premises (@p314 @p307)) % 0.38/0.73 (step @p316 :rule symm :premises (@p315)) % 0.38/0.73 (step @p317 :rule trans :premises (@p316 @p306)) % 0.38/0.73 (step @p318 false :rule eq_resolve :premises (@p317 @p302)) % 0.38/0.73 (step-pop @p346 :rule scope :premises (@p318)) % 0.38/0.73 (step-pop @p347 :rule scope :premises (@p346)) % 0.38/0.73 (step-pop @p348 :rule scope :premises (@p347)) % 0.38/0.73 (step @p319 :rule process_scope :premises (@p348) :args (false)) % 0.38/0.73 (assume-push @p349 @t184) % 0.38/0.73 (assume-push @p350 @t168) % 0.38/0.73 (assume-push @p351 @t142) % 0.38/0.73 (assume-push @p352 @t161) % 0.38/0.73 (assume-push @p353 @t191) % 0.38/0.73 (step @p307 :rule false_intro :premises (@p203)) % 0.38/0.73 (step @p308 :rule symm :premises (@p167)) % 0.38/0.73 (step @p309 :rule symm :premises (@p222)) % 0.38/0.73 (step @p310 :rule trans :premises (@p309 @p271)) % 0.38/0.73 (step @p311 :rule refl :args (@t112)) % 0.38/0.73 (step @p312 :rule cong :premises (@p311 @p310) :args (@t190)) % 0.38/0.73 (step @p313 :rule trans :premises (@p312 @p308)) % 0.38/0.73 (step @p314 :rule cong :premises (@p309 @p313) :args (@t201)) % 0.38/0.73 (step @p328 :rule trans :premises (@p314 @p307)) % 0.38/0.73 (step @p329 :rule false_elim :premises (@p328)) % 0.38/0.73 (step @p330 :rule and_intro :premises (@p222 @p292 @p329)) % 0.38/0.73 (step-pop @p354 :rule scope :premises (@p330)) % 0.38/0.73 (step-pop @p355 :rule scope :premises (@p354)) % 0.38/0.73 (step-pop @p356 :rule scope :premises (@p355)) % 0.38/0.73 (step-pop @p357 :rule scope :premises (@p356)) % 0.38/0.73 (step-pop @p358 :rule scope :premises (@p357)) % 0.38/0.73 (step @p331 :rule process_scope :premises (@p358) :args (@t203)) % 0.38/0.73 (step @p337 :rule implies_elim :premises (@p331)) % 0.38/0.73 (step @p338 :rule resolution :premises (@p337 @p319) :args (true @t203)) % 0.38/0.73 (step @p339 :rule not_and :premises (@p338)) % 0.38/0.73 (step @p340 :rule eq_resolve :premises (@p339 @p298)) % 0.38/0.73 (step @p341 :rule reordering :premises (@p340) :args ((or @t157 @t200 @t199 @t198 @t197))) % 0.38/0.73 (step @p342 false :rule chain_m_resolution :premises (@p341 @p292 @p271 @p222 @p203 @p167) :args (false (@list false false false true false) (@list @t191 @t184 @t168 @t157 @t142))) % 0.38/0.73 ) % 0.38/0.73 % SZS output end Proof % 0.38/0.73 % cvc5 exiting %------------------------------------------------------------------------------