%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG224+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:34 AM UTC 2026 % Result : Theorem 0.62s 0.81s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ALG224+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 20:42:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.81 % SZS status Theorem % 0.62/0.81 % SZS output start Proof % 0.62/0.81 ( % 0.62/0.81 (declare-sort $$unsorted 0) % 0.62/0.81 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.62/0.81 (declare-const tptp.r2_closure3 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_pralg_2 (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.k1_closure2 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.81 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.62/0.81 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.62/0.81 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.62/0.81 (define @t1 () (@var "E" $$unsorted)) % 0.62/0.81 (define @t2 () (@var "C" $$unsorted)) % 0.62/0.81 (define @t3 () (@var "B" $$unsorted)) % 0.62/0.81 (define @t4 () (@var "A" $$unsorted)) % 0.62/0.81 (define @t5 () (tptp.r2_closure3 @t4 @t3 @t2 @t1)) % 0.62/0.81 (define @t6 () (@var "D" $$unsorted)) % 0.62/0.81 (define @t7 () (tptp.r2_closure3 @t4 @t3 @t6 @t1)) % 0.62/0.81 (define @t8 () (tptp.r2_closure3 @t4 @t3 @t2 @t6)) % 0.62/0.81 (define @t9 () (and @t8 @t7)) % 0.62/0.81 (define @t10 () (=> @t9 @t5)) % 0.62/0.81 (define @t11 () (tptp.k1_closure2 @t4 @t3)) % 0.62/0.81 (define @t12 () (tptp.k1_zfmisc_1 @t11)) % 0.62/0.81 (define @t13 () (tptp.m1_subset_1 @t1 @t12)) % 0.62/0.81 (define @t14 () (@list @t1)) % 0.62/0.81 (define @t15 () (forall @t14 (=> @t13 @t10))) % 0.62/0.81 (define @t16 () (tptp.m1_subset_1 @t6 @t12)) % 0.62/0.81 (define @t17 () (=> @t16 @t15)) % 0.62/0.81 (define @t18 () (@list @t6)) % 0.62/0.81 (define @t19 () (forall @t18 @t17)) % 0.62/0.81 (define @t20 () (tptp.m1_subset_1 @t2 @t12)) % 0.62/0.81 (define @t21 () (=> @t20 @t19)) % 0.62/0.81 (define @t22 () (@list @t2)) % 0.62/0.81 (define @t23 () (forall @t22 @t21)) % 0.62/0.81 (define @t24 () (tptp.m1_pboole @t3 @t4)) % 0.62/0.81 (define @t25 () (=> @t24 @t23)) % 0.62/0.81 (define @t26 () (@list @t4 @t3)) % 0.62/0.81 (define @t27 () (forall @t26 @t25)) % 0.62/0.81 (define @t28 () (not @t27)) % 0.62/0.81 (define @t29 () (tptp.r2_hidden @t4 @t3)) % 0.62/0.81 (define @t30 () (tptp.v1_fraenkel @t4)) % 0.62/0.81 (define @t31 () (tptp.v1_xboole_0 @t4)) % 0.62/0.81 (define @t32 () (@list @t4)) % 0.62/0.81 (define @t33 () (tptp.v1_finset_1 @t4)) % 0.62/0.81 (define @t34 () (tptp.v1_funct_1 @t4)) % 0.62/0.81 (define @t35 () (tptp.v1_finset_1 @t3)) % 0.62/0.81 (define @t36 () (tptp.k1_zfmisc_1 @t4)) % 0.62/0.81 (define @t37 () (tptp.m1_subset_1 @t3 @t36)) % 0.62/0.81 (define @t38 () (@list @t3)) % 0.62/0.81 (define @t39 () (tptp.v2_funct_1 @t4)) % 0.62/0.81 (define @t40 () (tptp.v1_relat_1 @t4)) % 0.62/0.81 (define @t41 () (and @t40 @t34 @t39)) % 0.62/0.81 (define @t42 () (and @t40 @t31 @t34)) % 0.62/0.81 (define @t43 () (@var "F" $$unsorted)) % 0.62/0.81 (define @t44 () (tptp.r1_tarski @t43 @t1)) % 0.62/0.81 (define @t45 () (tptp.r2_hidden @t43 @t6)) % 0.62/0.81 (define @t46 () (@list @t43)) % 0.62/0.81 (define @t47 () (forall @t46 (not (and @t45 @t44)))) % 0.62/0.81 (define @t48 () (tptp.r2_hidden @t1 @t2)) % 0.62/0.81 (define @t49 () (and @t48 @t47)) % 0.62/0.81 (define @t50 () (not @t49)) % 0.62/0.81 (define @t51 () (forall @t14 @t50)) % 0.62/0.81 (define @t52 () (= @t8 @t51)) % 0.62/0.81 (define @t53 () (=> @t16 @t52)) % 0.62/0.81 (define @t54 () (forall @t18 @t53)) % 0.62/0.81 (define @t55 () (=> @t20 @t54)) % 0.62/0.81 (define @t56 () (forall @t22 @t55)) % 0.62/0.81 (define @t57 () (=> @t24 @t56)) % 0.62/0.81 (define @t58 () (forall @t26 @t57)) % 0.62/0.81 (define @t59 () (not @t31)) % 0.62/0.81 (define @t60 () (tptp.v1_xboole_0 @t3)) % 0.62/0.81 (define @t61 () (not @t60)) % 0.62/0.81 (define @t62 () (tptp.v1_fraenkel @t2)) % 0.62/0.81 (define @t63 () (tptp.v1_xboole_0 @t2)) % 0.62/0.81 (define @t64 () (tptp.m1_subset_1 @t4 @t3)) % 0.62/0.81 (define @t65 () (tptp.r1_tarski @t4 @t2)) % 0.62/0.81 (define @t66 () (tptp.r1_tarski @t3 @t2)) % 0.62/0.81 (define @t67 () (tptp.r1_tarski @t4 @t3)) % 0.62/0.81 (define @t68 () (and @t67 @t66)) % 0.62/0.81 (define @t69 () (@list @t4 @t3 @t2)) % 0.62/0.81 (define @t70 () (forall @t69 (=> @t68 @t65))) % 0.62/0.81 (define @t71 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2))) % 0.62/0.81 (define @t72 () (not @t66)) % 0.62/0.81 (define @t73 () (not @t67)) % 0.62/0.81 (define @t74 () (or @t73 @t72 @t65)) % 0.62/0.81 (define @t75 () (not @t44)) % 0.62/0.81 (define @t76 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 0.62/0.81 (define @t77 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 0.62/0.81 (define @t78 () (= (tptp.r2_closure3 @t4 @t3 @t77 @t76) (forall @t14 (or (not (tptp.r2_hidden @t1 @t77)) (not (forall @t46 (or (not (tptp.r2_hidden @t43 @t76)) @t75))))))) % 0.62/0.81 (define @t79 () (not (tptp.m1_subset_1 @t76 @t12))) % 0.62/0.81 (define @t80 () (not (tptp.m1_subset_1 @t77 @t12))) % 0.62/0.81 (define @t81 () (not @t24)) % 0.62/0.81 (define @t82 () (or @t80 @t79 @t78)) % 0.62/0.81 (define @t83 () (or @t81 @t82)) % 0.62/0.81 (define @t84 () (forall (@list @t4 @t3 @t77 @t76) @t83)) % 0.62/0.81 (define @t85 () (@list @t77 @t76)) % 0.62/0.81 (define @t86 () (forall @t85 @t83)) % 0.62/0.81 (define @t87 () (forall @t85 @t82)) % 0.62/0.81 (define @t88 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 0.62/0.81 (define @t89 () (or @t81 @t87)) % 0.62/0.81 (define @t90 () (not @t48)) % 0.62/0.81 (define @t91 () (= (tptp.r2_closure3 @t4 @t3 @t2 @t88) (forall @t14 (or @t90 (not (forall @t46 (or (not (tptp.r2_hidden @t43 @t88)) @t75))))))) % 0.62/0.81 (define @t92 () (not (tptp.m1_subset_1 @t88 @t12))) % 0.62/0.81 (define @t93 () (not @t20)) % 0.62/0.81 (define @t94 () (or @t93 @t92 @t91)) % 0.62/0.81 (define @t95 () (@list @t2 @t88)) % 0.62/0.81 (define @t96 () (forall @t95 @t94)) % 0.62/0.81 (define @t97 () (or @t92 @t91)) % 0.62/0.81 (define @t98 () (or @t93 @t97)) % 0.62/0.81 (define @t99 () (forall @t95 @t98)) % 0.62/0.81 (define @t100 () (@list @t88)) % 0.62/0.81 (define @t101 () (forall @t100 @t98)) % 0.62/0.81 (define @t102 () (forall @t100 @t97)) % 0.62/0.81 (define @t103 () (or @t93 @t102)) % 0.62/0.81 (define @t104 () (forall @t46 (or (not @t45) @t75))) % 0.62/0.81 (define @t105 () (= @t8 (forall @t14 (or @t90 (not @t104))))) % 0.62/0.81 (define @t106 () (not @t16)) % 0.62/0.81 (define @t107 () (forall @t18 (or @t106 @t105))) % 0.62/0.81 (define @t108 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 0.62/0.81 (define @t109 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 0.62/0.81 (define @t110 () (tptp.r2_closure3 @t4 @t3 @t109 @t108)) % 0.62/0.81 (define @t111 () (@var "BOUND_VARIABLE_7669" $$unsorted)) % 0.62/0.81 (define @t112 () (not (tptp.r2_closure3 @t4 @t3 @t111 @t108))) % 0.62/0.81 (define @t113 () (not (tptp.m1_subset_1 @t108 @t12))) % 0.62/0.81 (define @t114 () (not (tptp.r2_closure3 @t4 @t3 @t109 @t111))) % 0.62/0.81 (define @t115 () (not (tptp.m1_subset_1 @t111 @t12))) % 0.62/0.81 (define @t116 () (not (tptp.m1_subset_1 @t109 @t12))) % 0.62/0.81 (define @t117 () (or @t81 @t116 @t115 @t114 @t113 @t112 @t110)) % 0.62/0.81 (define @t118 () (@list @t4 @t3 @t109 @t111 @t108)) % 0.62/0.81 (define @t119 () (forall @t118 @t117)) % 0.62/0.81 (define @t120 () (@quantifiers_skolemize @t119 4)) % 0.62/0.81 (define @t121 () (@quantifiers_skolemize @t119 2)) % 0.62/0.81 (define @t122 () (@quantifiers_skolemize @t119 1)) % 0.62/0.81 (define @t123 () (@quantifiers_skolemize @t119 0)) % 0.62/0.81 (define @t124 () (or @t116 @t115 @t114 @t113 @t112 @t110)) % 0.62/0.81 (define @t125 () (or @t81 @t124)) % 0.62/0.81 (define @t126 () (forall @t118 @t125)) % 0.62/0.81 (define @t127 () (@list @t109 @t111 @t108)) % 0.62/0.81 (define @t128 () (forall @t127 @t125)) % 0.62/0.81 (define @t129 () (forall @t127 @t124)) % 0.62/0.81 (define @t130 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 0.62/0.81 (define @t131 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.62/0.81 (define @t132 () (or @t81 @t129)) % 0.62/0.81 (define @t133 () (tptp.r2_closure3 @t4 @t3 @t2 @t130)) % 0.62/0.81 (define @t134 () (not (tptp.r2_closure3 @t4 @t3 @t131 @t130))) % 0.62/0.81 (define @t135 () (not (tptp.m1_subset_1 @t130 @t12))) % 0.62/0.81 (define @t136 () (not (tptp.r2_closure3 @t4 @t3 @t2 @t131))) % 0.62/0.81 (define @t137 () (not (tptp.m1_subset_1 @t131 @t12))) % 0.62/0.81 (define @t138 () (or @t93 @t137 @t136 @t135 @t134 @t133)) % 0.62/0.81 (define @t139 () (@list @t2 @t131 @t130)) % 0.62/0.81 (define @t140 () (forall @t139 @t138)) % 0.62/0.81 (define @t141 () (or @t137 @t136 @t135 @t134 @t133)) % 0.62/0.81 (define @t142 () (or @t93 @t141)) % 0.62/0.81 (define @t143 () (forall @t139 @t142)) % 0.62/0.81 (define @t144 () (@list @t131 @t130)) % 0.62/0.81 (define @t145 () (forall @t144 @t142)) % 0.62/0.81 (define @t146 () (forall @t144 @t141)) % 0.62/0.81 (define @t147 () (@var "BOUND_VARIABLE_7625" $$unsorted)) % 0.62/0.81 (define @t148 () (or @t93 @t146)) % 0.62/0.81 (define @t149 () (tptp.r2_closure3 @t4 @t3 @t2 @t147)) % 0.62/0.81 (define @t150 () (not (tptp.r2_closure3 @t4 @t3 @t6 @t147))) % 0.62/0.81 (define @t151 () (not (tptp.m1_subset_1 @t147 @t12))) % 0.62/0.81 (define @t152 () (not @t8)) % 0.62/0.81 (define @t153 () (or @t106 @t152 @t151 @t150 @t149)) % 0.62/0.81 (define @t154 () (@list @t6 @t147)) % 0.62/0.81 (define @t155 () (forall @t154 @t153)) % 0.62/0.81 (define @t156 () (or @t151 @t150 @t149)) % 0.62/0.81 (define @t157 () (or @t106 @t152 @t156)) % 0.62/0.81 (define @t158 () (forall @t154 @t157)) % 0.62/0.81 (define @t159 () (@list @t147)) % 0.62/0.81 (define @t160 () (forall @t159 @t157)) % 0.62/0.81 (define @t161 () (forall @t159 @t156)) % 0.62/0.81 (define @t162 () (or @t106 @t152 @t161)) % 0.62/0.81 (define @t163 () (not @t7)) % 0.62/0.81 (define @t164 () (not @t13)) % 0.62/0.81 (define @t165 () (or @t164 @t163 @t5)) % 0.62/0.81 (define @t166 () (forall @t14 @t165)) % 0.62/0.81 (define @t167 () (or @t106 @t152 @t166)) % 0.62/0.81 (define @t168 () (or @t152 @t166)) % 0.62/0.81 (define @t169 () (or @t152 @t165)) % 0.62/0.81 (define @t170 () (or @t164 @t152 @t163 @t5)) % 0.62/0.81 (define @t171 () (or @t152 @t163 @t5)) % 0.62/0.81 (define @t172 () (tptp.k1_zfmisc_1 (tptp.k1_closure2 @t123 @t122))) % 0.62/0.81 (define @t173 () (tptp.m1_subset_1 @t120 @t172)) % 0.62/0.81 (define @t174 () (tptp.r2_closure3 @t123 @t122 @t121 @t120)) % 0.62/0.81 (define @t175 () (@quantifiers_skolemize @t119 3)) % 0.62/0.81 (define @t176 () (tptp.r2_closure3 @t123 @t122 @t175 @t120)) % 0.62/0.81 (define @t177 () (not @t176)) % 0.62/0.81 (define @t178 () (not @t173)) % 0.62/0.81 (define @t179 () (tptp.r2_closure3 @t123 @t122 @t121 @t175)) % 0.62/0.81 (define @t180 () (not @t179)) % 0.62/0.81 (define @t181 () (tptp.m1_subset_1 @t175 @t172)) % 0.62/0.81 (define @t182 () (not @t181)) % 0.62/0.81 (define @t183 () (tptp.m1_subset_1 @t121 @t172)) % 0.62/0.81 (define @t184 () (not @t183)) % 0.62/0.81 (define @t185 () (tptp.m1_pboole @t122 @t123)) % 0.62/0.81 (define @t186 () (not @t185)) % 0.62/0.81 (define @t187 () (or @t186 @t184 @t182 @t180 @t178 @t177 @t174)) % 0.62/0.81 (define @t188 () (@list true)) % 0.62/0.81 (define @t189 () (@list @t187)) % 0.62/0.81 (define @t190 () (not (tptp.r2_hidden @t43 @t120))) % 0.62/0.81 (define @t191 () (not (forall @t46 (or @t190 @t75)))) % 0.62/0.81 (define @t192 () (not (tptp.r2_hidden @t1 @t121))) % 0.62/0.81 (define @t193 () (forall @t14 (or @t192 @t191))) % 0.62/0.81 (define @t194 () (= @t174 @t193)) % 0.62/0.81 (define @t195 () (or @t186 @t184 @t178 @t194)) % 0.62/0.81 (define @t196 () (@list false false false false)) % 0.62/0.81 (define @t197 () (not @t193)) % 0.62/0.81 (define @t198 () (@list true false)) % 0.62/0.81 (define @t199 () (@quantifiers_skolemize @t193 0)) % 0.62/0.81 (define @t200 () (not (tptp.r1_tarski @t43 @t199))) % 0.62/0.81 (define @t201 () (forall @t46 (or @t190 @t200))) % 0.62/0.81 (define @t202 () (not @t201)) % 0.62/0.81 (define @t203 () (tptp.r2_hidden @t199 @t121)) % 0.62/0.81 (define @t204 () (not @t203)) % 0.62/0.81 (define @t205 () (or @t204 @t202)) % 0.62/0.81 (define @t206 () (@list @t205)) % 0.62/0.81 (define @t207 () (not (tptp.r2_hidden @t43 @t175))) % 0.62/0.81 (define @t208 () (forall @t46 (or @t207 @t200))) % 0.62/0.81 (define @t209 () (@quantifiers_skolemize @t208 0)) % 0.62/0.81 (define @t210 () (forall @t46 (or @t190 (not (tptp.r1_tarski @t43 @t209))))) % 0.62/0.81 (define @t211 () (@quantifiers_skolemize @t210 0)) % 0.62/0.81 (define @t212 () (forall @t14 (or (not (tptp.r2_hidden @t1 @t175)) @t191))) % 0.62/0.81 (define @t213 () (= @t176 @t212)) % 0.62/0.81 (define @t214 () (or @t186 @t182 @t178 @t213)) % 0.62/0.81 (define @t215 () (@list false false)) % 0.62/0.81 (define @t216 () (forall @t14 (or @t192 (not (forall @t46 (or @t207 @t75)))))) % 0.62/0.81 (define @t217 () (= @t179 @t216)) % 0.62/0.81 (define @t218 () (or @t186 @t184 @t182 @t217)) % 0.62/0.81 (define @t219 () (not @t208)) % 0.62/0.81 (define @t220 () (or @t204 @t219)) % 0.62/0.81 (define @t221 () (tptp.r2_hidden @t209 @t175)) % 0.62/0.81 (define @t222 () (tptp.r1_tarski @t209 @t199)) % 0.62/0.81 (define @t223 () (not @t222)) % 0.62/0.81 (define @t224 () (not @t221)) % 0.62/0.81 (define @t225 () (or @t224 @t223)) % 0.62/0.81 (define @t226 () (@list @t225)) % 0.62/0.81 (define @t227 () (not @t210)) % 0.62/0.81 (define @t228 () (or @t224 @t227)) % 0.62/0.81 (define @t229 () (tptp.r2_hidden @t211 @t120)) % 0.62/0.81 (define @t230 () (tptp.r1_tarski @t211 @t209)) % 0.62/0.81 (define @t231 () (not @t230)) % 0.62/0.81 (define @t232 () (not @t229)) % 0.62/0.81 (define @t233 () (or @t232 @t231)) % 0.62/0.81 (define @t234 () (@list @t233)) % 0.62/0.81 (define @t235 () (tptp.r1_tarski @t211 @t199)) % 0.62/0.81 (define @t236 () (not @t235)) % 0.62/0.81 (define @t237 () (or @t232 @t236)) % 0.62/0.81 (define @t238 () (or @t231 @t223 @t235)) % 0.62/0.81 (define @t239 () (not @t238)) % 0.62/0.81 (define @t240 () (forall @t69 @t74)) % 0.62/0.81 (assume @p1 @t28) % 0.62/0.81 (assume @p2 (forall @t26 (=> @t29 (not (tptp.r2_hidden @t3 @t4))))) % 0.62/0.81 (assume @p3 (forall @t32 (=> @t31 @t30))) % 0.62/0.81 (assume @p4 (forall @t32 (=> @t31 @t33))) % 0.62/0.81 (assume @p5 (forall @t32 (=> @t31 @t34))) % 0.62/0.81 (assume @p6 (forall @t32 (=> @t33 (forall @t38 (=> @t37 @t35))))) % 0.62/0.81 (assume @p7 (forall @t32 (=> @t42 @t41))) % 0.62/0.81 (assume @p8 @t58) % 0.62/0.81 (assume @p9 true) % 0.62/0.81 (assume @p10 (forall @t26 (=> @t24 (and (tptp.v1_relat_1 @t3) (tptp.v1_funct_1 @t3))))) % 0.62/0.81 (assume @p11 (forall @t32 (exists @t38 @t24))) % 0.62/0.81 (assume @p12 (forall @t32 (exists @t38 (tptp.m1_subset_1 @t3 @t4)))) % 0.62/0.81 (assume @p13 (forall @t32 (not (tptp.v1_xboole_0 @t36)))) % 0.62/0.81 (assume @p14 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.62/0.81 (assume @p15 (forall @t26 (=> @t24 (and (not (tptp.v1_xboole_0 @t11)) (tptp.v1_fraenkel @t11) (tptp.v1_pralg_2 @t11))))) % 0.62/0.81 (assume @p16 (exists @t32 (and @t31 @t40 @t34 @t39 @t33 @t30))) % 0.62/0.81 (assume @p17 (exists @t32 (and @t59 @t33))) % 0.62/0.81 (assume @p18 (exists @t32 (and @t40 @t34))) % 0.62/0.81 (assume @p19 (forall @t32 (=> @t59 (exists @t38 (and @t37 @t61))))) % 0.62/0.81 (assume @p20 (exists @t32 @t31)) % 0.62/0.81 (assume @p21 (forall @t26 (=> @t24 (exists @t22 (and @t20 (not @t63) @t62 (tptp.v1_pralg_2 @t2)))))) % 0.62/0.81 (assume @p22 (exists @t32 @t42)) % 0.62/0.81 (assume @p23 (forall @t32 (exists @t38 (and @t37 @t60)))) % 0.62/0.81 (assume @p24 (exists @t32 @t59)) % 0.62/0.81 (assume @p25 (forall @t26 (=> @t24 (exists @t22 (and @t20 @t63 (tptp.v1_relat_1 @t2) (tptp.v1_funct_1 @t2) (tptp.v2_funct_1 @t2) (tptp.v1_finset_1 @t2) @t62))))) % 0.62/0.81 (assume @p26 (forall @t32 (=> @t59 (exists @t38 (and @t37 @t61 @t35))))) % 0.62/0.81 (assume @p27 (exists @t32 @t41)) % 0.62/0.81 (assume @p28 (forall @t26 (tptp.r1_tarski @t4 @t4))) % 0.62/0.81 (assume @p29 (forall (@list @t4 @t3 @t2 @t6) (=> (and @t24 @t20 @t16) (tptp.r2_closure3 @t4 @t3 @t2 @t2)))) % 0.62/0.81 (assume @p30 (forall @t26 (=> @t29 @t64))) % 0.62/0.81 (assume @p31 @t70) % 0.62/0.81 (assume @p32 (forall @t26 (=> @t64 (or @t60 @t29)))) % 0.62/0.81 (assume @p33 (forall @t26 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t3)) @t67))) % 0.62/0.81 (assume @p34 (forall @t69 (=> (and @t29 @t71) (tptp.m1_subset_1 @t4 @t2)))) % 0.62/0.81 (assume @p35 (forall @t69 (not (and @t29 @t71 @t63)))) % 0.62/0.81 (assume @p36 (forall @t32 (=> @t31 (= @t4 tptp.k1_xboole_0)))) % 0.62/0.81 (assume @p37 (forall @t26 (not (and @t29 @t60)))) % 0.62/0.81 (assume @p38 (forall @t26 (not (and @t31 (not (= @t4 @t3)) @t60)))) % 0.62/0.81 (step @p39 :rule aci_norm :args ((= (or (or @t73 @t72) @t65) @t74))) % 0.62/0.81 (step @p40 :rule refl :args (@t65)) % 0.62/0.81 (step @p41 :rule bool-and-de-morgan :args (@t67 @t66 true)) % 0.62/0.81 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t68) @t65))) % 0.62/0.81 (step @p43 :rule trans :premises (@p42 @p39)) % 0.62/0.81 (step @p44 :rule bool-impl-elim :args (@t68 @t65)) % 0.62/0.81 (step @p45 :rule trans :premises (@p44 @p43)) % 0.62/0.81 (step @p46 :rule cong :premises (@p45) :args (@t70)) % 0.62/0.81 (step @p47 :rule eq_resolve :premises (@p31 @p46)) % 0.62/0.81 (step @p48 :rule aci_norm :args ((= @t83 (or @t81 @t80 @t79 @t78)))) % 0.62/0.81 (step @p49 :rule cong :premises (@p48) :args (@t84)) % 0.62/0.81 (step @p50 :rule quant-merge-prenex :args ((= (forall @t26 @t86) @t84))) % 0.62/0.81 (step @p51 :rule alpha_equiv :args (@t87 (@list @t77 @t76) (@list @t2 @t88))) % 0.62/0.81 (step @p52 :rule refl :args (@t81)) % 0.62/0.81 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t89)) % 0.62/0.81 (step @p54 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.62/0.81 (step @p55 :rule trans :premises (@p54 @p53)) % 0.62/0.81 (step @p56 :rule symm :premises (@p55)) % 0.62/0.81 (step @p57 :rule cong :premises (@p56) :args ((forall @t26 (or @t81 @t96)))) % 0.62/0.81 (step @p58 :rule trans :premises (@p57 @p50)) % 0.62/0.81 (step @p59 :rule trans :premises (@p58 @p49)) % 0.62/0.81 (step @p60 :rule bool-impl-elim :args (@t24 @t96)) % 0.62/0.81 (step @p61 :rule cong :premises (@p60) :args ((forall @t26 (=> @t24 @t96)))) % 0.62/0.81 (step @p62 :rule trans :premises (@p61 @p59)) % 0.62/0.81 (step @p63 :rule aci_norm :args ((= @t98 @t94))) % 0.62/0.81 (step @p64 :rule cong :premises (@p63) :args (@t99)) % 0.62/0.81 (step @p65 :rule quant-merge-prenex :args ((= (forall @t22 @t101) @t99))) % 0.62/0.81 (step @p66 :rule alpha_equiv :args (@t102 (@list @t88) (@list @t6))) % 0.62/0.81 (step @p67 :rule refl :args (@t93)) % 0.62/0.81 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t103)) % 0.62/0.81 (step @p69 :rule quant-miniscope-or :args ((= @t101 @t103))) % 0.62/0.81 (step @p70 :rule trans :premises (@p69 @p68)) % 0.62/0.81 (step @p71 :rule symm :premises (@p70)) % 0.62/0.81 (step @p72 :rule cong :premises (@p71) :args ((forall @t22 (or @t93 @t107)))) % 0.62/0.81 (step @p73 :rule trans :premises (@p72 @p65)) % 0.62/0.81 (step @p74 :rule trans :premises (@p73 @p64)) % 0.62/0.81 (step @p75 :rule bool-impl-elim :args (@t20 @t107)) % 0.62/0.81 (step @p76 :rule cong :premises (@p75) :args ((forall @t22 (=> @t20 @t107)))) % 0.62/0.81 (step @p77 :rule trans :premises (@p76 @p74)) % 0.62/0.81 (step @p78 :rule bool-impl-elim :args (@t16 @t105)) % 0.62/0.81 (step @p79 :rule cong :premises (@p78) :args ((forall @t18 (=> @t16 @t105)))) % 0.62/0.81 (step @p80 :rule bool-and-de-morgan :args (@t48 @t104 true)) % 0.62/0.81 (step @p81 :rule cong :premises (@p80) :args ((forall @t14 (not (and @t48 @t104))))) % 0.62/0.81 (step @p82 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 0.62/0.81 (step @p83 :rule cong :premises (@p82) :args (@t47)) % 0.62/0.81 (step @p84 :rule refl :args (@t48)) % 0.62/0.81 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t49)) % 0.62/0.81 (step @p86 :rule cong :premises (@p85) :args (@t50)) % 0.62/0.81 (step @p87 :rule cong :premises (@p86) :args (@t51)) % 0.62/0.81 (step @p88 :rule trans :premises (@p87 @p81)) % 0.62/0.81 (step @p89 :rule refl :args (@t8)) % 0.62/0.81 (step @p90 :rule cong :premises (@p89 @p88) :args (@t52)) % 0.62/0.81 (step @p91 :rule refl :args (@t16)) % 0.62/0.81 (step @p92 :rule cong :premises (@p91 @p90) :args (@t53)) % 0.62/0.81 (step @p93 :rule cong :premises (@p92) :args (@t54)) % 0.62/0.81 (step @p94 :rule trans :premises (@p93 @p79)) % 0.62/0.81 (step @p95 :rule refl :args (@t20)) % 0.62/0.81 (step @p96 :rule cong :premises (@p95 @p94) :args (@t55)) % 0.62/0.81 (step @p97 :rule cong :premises (@p96) :args (@t56)) % 0.62/0.81 (step @p98 :rule trans :premises (@p97 @p77)) % 0.62/0.81 (step @p99 :rule refl :args (@t24)) % 0.62/0.81 (step @p100 :rule cong :premises (@p99 @p98) :args (@t57)) % 0.62/0.81 (step @p101 :rule cong :premises (@p100) :args (@t58)) % 0.62/0.81 (step @p102 :rule trans :premises (@p101 @p62)) % 0.62/0.81 (step @p103 :rule eq_resolve :premises (@p8 @p102)) % 0.62/0.81 (step @p104 :rule instantiate :premises (@p103) :args ((@list @t123 @t122 @t121 @t120))) % 0.62/0.81 (step @p105 :rule aci_norm :args ((= @t125 @t117))) % 0.62/0.81 (step @p106 :rule cong :premises (@p105) :args (@t126)) % 0.62/0.81 (step @p107 :rule quant-merge-prenex :args ((= (forall @t26 @t128) @t126))) % 0.62/0.81 (step @p108 :rule alpha_equiv :args (@t129 (@list @t109 @t111 @t108) (@list @t2 @t131 @t130))) % 0.62/0.81 (step @p109 :rule nary_cong :premises (@p52 @p108) :args (@t132)) % 0.62/0.81 (step @p110 :rule quant-miniscope-or :args ((= @t128 @t132))) % 0.62/0.81 (step @p111 :rule trans :premises (@p110 @p109)) % 0.62/0.81 (step @p112 :rule symm :premises (@p111)) % 0.62/0.81 (step @p113 :rule cong :premises (@p112) :args ((forall @t26 (or @t81 @t140)))) % 0.62/0.81 (step @p114 :rule trans :premises (@p113 @p107)) % 0.62/0.81 (step @p115 :rule trans :premises (@p114 @p106)) % 0.62/0.81 (step @p116 :rule bool-impl-elim :args (@t24 @t140)) % 0.62/0.81 (step @p117 :rule cong :premises (@p116) :args ((forall @t26 (=> @t24 @t140)))) % 0.62/0.81 (step @p118 :rule trans :premises (@p117 @p115)) % 0.62/0.81 (step @p119 :rule aci_norm :args ((= @t142 @t138))) % 0.62/0.81 (step @p120 :rule cong :premises (@p119) :args (@t143)) % 0.62/0.81 (step @p121 :rule quant-merge-prenex :args ((= (forall @t22 @t145) @t143))) % 0.62/0.81 (step @p122 :rule alpha_equiv :args (@t146 (@list @t131 @t130) (@list @t6 @t147))) % 0.62/0.81 (step @p123 :rule nary_cong :premises (@p67 @p122) :args (@t148)) % 0.62/0.81 (step @p124 :rule quant-miniscope-or :args ((= @t145 @t148))) % 0.62/0.81 (step @p125 :rule trans :premises (@p124 @p123)) % 0.62/0.81 (step @p126 :rule symm :premises (@p125)) % 0.62/0.81 (step @p127 :rule cong :premises (@p126) :args ((forall @t22 (or @t93 @t155)))) % 0.62/0.81 (step @p128 :rule trans :premises (@p127 @p121)) % 0.62/0.81 (step @p129 :rule trans :premises (@p128 @p120)) % 0.62/0.81 (step @p130 :rule bool-impl-elim :args (@t20 @t155)) % 0.62/0.81 (step @p131 :rule cong :premises (@p130) :args ((forall @t22 (=> @t20 @t155)))) % 0.62/0.81 (step @p132 :rule trans :premises (@p131 @p129)) % 0.62/0.81 (step @p133 :rule aci_norm :args ((= @t157 @t153))) % 0.62/0.81 (step @p134 :rule cong :premises (@p133) :args (@t158)) % 0.62/0.81 (step @p135 :rule quant-merge-prenex :args ((= (forall @t18 @t160) @t158))) % 0.62/0.81 (step @p136 :rule alpha_equiv :args (@t161 (@list @t147) (@list @t1))) % 0.62/0.81 (step @p137 :rule refl :args (@t152)) % 0.62/0.81 (step @p138 :rule refl :args (@t106)) % 0.62/0.81 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args (@t162)) % 0.62/0.81 (step @p140 :rule quant-miniscope-or :args ((= @t160 @t162))) % 0.62/0.81 (step @p141 :rule trans :premises (@p140 @p139)) % 0.62/0.81 (step @p142 :rule symm :premises (@p141)) % 0.62/0.81 (step @p143 :rule cong :premises (@p142) :args ((forall @t18 @t167))) % 0.62/0.81 (step @p144 :rule trans :premises (@p143 @p135)) % 0.62/0.81 (step @p145 :rule trans :premises (@p144 @p134)) % 0.62/0.81 (step @p146 :rule aci_norm :args ((= (or @t106 @t168) @t167))) % 0.62/0.81 (step @p147 :rule bool-impl-elim :args (@t16 @t168)) % 0.62/0.81 (step @p148 :rule trans :premises (@p147 @p146)) % 0.62/0.81 (step @p149 :rule cong :premises (@p148) :args ((forall @t18 (=> @t16 @t168)))) % 0.62/0.81 (step @p150 :rule trans :premises (@p149 @p145)) % 0.62/0.81 (step @p151 :rule quant-miniscope-or :args ((= (forall @t14 @t169) @t168))) % 0.62/0.81 (step @p152 :rule aci_norm :args ((= @t170 @t169))) % 0.62/0.81 (step @p153 :rule cong :premises (@p152) :args ((forall @t14 @t170))) % 0.62/0.81 (step @p154 :rule trans :premises (@p153 @p151)) % 0.62/0.81 (step @p155 :rule aci_norm :args ((= (or @t164 @t171) @t170))) % 0.62/0.81 (step @p156 :rule aci_norm :args ((= (or (or @t152 @t163) @t5) @t171))) % 0.62/0.81 (step @p157 :rule refl :args (@t5)) % 0.62/0.81 (step @p158 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.62/0.81 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t9) @t5))) % 0.62/0.81 (step @p160 :rule trans :premises (@p159 @p156)) % 0.62/0.81 (step @p161 :rule bool-impl-elim :args (@t9 @t5)) % 0.62/0.81 (step @p162 :rule trans :premises (@p161 @p160)) % 0.62/0.81 (step @p163 :rule refl :args (@t164)) % 0.62/0.81 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or @t164 @t10))) % 0.62/0.81 (step @p165 :rule trans :premises (@p164 @p155)) % 0.62/0.81 (step @p166 :rule bool-impl-elim :args (@t13 @t10)) % 0.62/0.81 (step @p167 :rule trans :premises (@p166 @p165)) % 0.62/0.81 (step @p168 :rule cong :premises (@p167) :args (@t15)) % 0.62/0.81 (step @p169 :rule trans :premises (@p168 @p154)) % 0.62/0.81 (step @p170 :rule cong :premises (@p91 @p169) :args (@t17)) % 0.62/0.81 (step @p171 :rule cong :premises (@p170) :args (@t19)) % 0.62/0.81 (step @p172 :rule trans :premises (@p171 @p150)) % 0.62/0.81 (step @p173 :rule cong :premises (@p95 @p172) :args (@t21)) % 0.62/0.81 (step @p174 :rule cong :premises (@p173) :args (@t23)) % 0.62/0.81 (step @p175 :rule trans :premises (@p174 @p132)) % 0.62/0.81 (step @p176 :rule cong :premises (@p99 @p175) :args (@t25)) % 0.62/0.81 (step @p177 :rule cong :premises (@p176) :args (@t27)) % 0.62/0.81 (step @p178 :rule trans :premises (@p177 @p118)) % 0.62/0.81 (step @p179 :rule cong :premises (@p178) :args (@t28)) % 0.62/0.81 (step @p180 :rule eq_resolve :premises (@p1 @p179)) % 0.62/0.81 (step @p181 :rule skolemize :premises (@p180)) % 0.62/0.81 (step @p182 :rule bool-double-not-elim :args (@t173)) % 0.62/0.81 (step @p183 :rule refl :args (@t187)) % 0.62/0.81 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t187 (not @t178)))) % 0.62/0.81 (step @p185 :rule cnf_or_neg :args (@t187 4)) % 0.62/0.81 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 0.62/0.81 (step @p187 :rule reordering :premises (@p186) :args ((or @t173 @t187))) % 0.62/0.81 (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t173 @t188 @t189)) % 0.62/0.81 (step @p189 :rule bool-double-not-elim :args (@t183)) % 0.62/0.81 (step @p190 :rule nary_cong :premises (@p183 @p189) :args ((or @t187 (not @t184)))) % 0.62/0.81 (step @p191 :rule cnf_or_neg :args (@t187 1)) % 0.62/0.81 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.62/0.81 (step @p193 :rule reordering :premises (@p192) :args ((or @t183 @t187))) % 0.62/0.81 (step @p194 :rule chain_m_resolution :premises (@p193 @p181) :args (@t183 @t188 @t189)) % 0.62/0.81 (step @p195 :rule bool-double-not-elim :args (@t185)) % 0.62/0.81 (step @p196 :rule nary_cong :premises (@p183 @p195) :args ((or @t187 (not @t186)))) % 0.62/0.81 (step @p197 :rule cnf_or_neg :args (@t187 0)) % 0.62/0.81 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.62/0.81 (step @p199 :rule reordering :premises (@p198) :args ((or @t185 @t187))) % 0.62/0.81 (step @p200 :rule chain_m_resolution :premises (@p199 @p181) :args (@t185 @t188 @t189)) % 0.62/0.81 (step @p201 :rule cnf_or_pos :args (@t195)) % 0.62/0.81 (step @p202 :rule reordering :premises (@p201) :args ((or @t186 @t184 @t178 @t194 (not @t195)))) % 0.62/0.81 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p194 @p188 @p104) :args (@t194 @t196 (@list @t185 @t183 @t173 @t195))) % 0.62/0.81 (step @p204 :rule cnf_or_neg :args (@t187 6)) % 0.62/0.81 (step @p205 :rule chain_m_resolution :premises (@p204 @p181) :args ((not @t174) @t188 @t189)) % 0.62/0.81 (step @p206 :rule cnf_equiv_pos2 :args (@t194)) % 0.62/0.81 (step @p207 :rule reordering :premises (@p206) :args ((or @t174 @t197 (not @t194)))) % 0.62/0.81 (step @p208 :rule chain_m_resolution :premises (@p207 @p205 @p203) :args (@t197 @t198 (@list @t174 @t194))) % 0.62/0.81 (step @p209 :rule skolemize :premises (@p208)) % 0.62/0.81 (step @p210 :rule bool-double-not-elim :args (@t201)) % 0.62/0.81 (step @p211 :rule refl :args (@t205)) % 0.62/0.81 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t205 (not @t202)))) % 0.62/0.81 (step @p213 :rule cnf_or_neg :args (@t205 1)) % 0.62/0.81 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 0.62/0.81 (step @p215 :rule reordering :premises (@p214) :args ((or @t201 @t205))) % 0.62/0.81 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t201 @t188 @t206)) % 0.62/0.81 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t211))) % 0.62/0.81 (step @p218 :rule instantiate :premises (@p103) :args ((@list @t123 @t122 @t175 @t120))) % 0.62/0.81 (step @p219 :rule bool-double-not-elim :args (@t181)) % 0.62/0.81 (step @p220 :rule nary_cong :premises (@p183 @p219) :args ((or @t187 (not @t182)))) % 0.62/0.81 (step @p221 :rule cnf_or_neg :args (@t187 2)) % 0.62/0.81 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.62/0.81 (step @p223 :rule reordering :premises (@p222) :args ((or @t181 @t187))) % 0.62/0.81 (step @p224 :rule chain_m_resolution :premises (@p223 @p181) :args (@t181 @t188 @t189)) % 0.62/0.81 (step @p225 :rule cnf_or_pos :args (@t214)) % 0.62/0.81 (step @p226 :rule reordering :premises (@p225) :args ((or @t186 @t182 @t178 @t213 (not @t214)))) % 0.62/0.81 (step @p227 :rule chain_m_resolution :premises (@p226 @p200 @p224 @p188 @p218) :args (@t213 @t196 (@list @t185 @t181 @t173 @t214))) % 0.62/0.81 (step @p228 :rule bool-double-not-elim :args (@t176)) % 0.62/0.81 (step @p229 :rule nary_cong :premises (@p183 @p228) :args ((or @t187 (not @t177)))) % 0.62/0.81 (step @p230 :rule cnf_or_neg :args (@t187 5)) % 0.62/0.81 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 0.62/0.81 (step @p232 :rule reordering :premises (@p231) :args ((or @t176 @t187))) % 0.62/0.81 (step @p233 :rule chain_m_resolution :premises (@p232 @p181) :args (@t176 @t188 @t189)) % 0.62/0.81 (step @p234 :rule cnf_equiv_pos1 :args (@t213)) % 0.62/0.81 (step @p235 :rule reordering :premises (@p234) :args ((or @t177 @t212 (not @t213)))) % 0.62/0.81 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p227) :args (@t212 @t215 (@list @t176 @t213))) % 0.62/0.81 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t209))) % 0.62/0.81 (step @p238 :rule instantiate :premises (@p103) :args ((@list @t123 @t122 @t121 @t175))) % 0.62/0.81 (step @p239 :rule cnf_or_pos :args (@t218)) % 0.62/0.81 (step @p240 :rule reordering :premises (@p239) :args ((or @t186 @t184 @t182 @t217 (not @t218)))) % 0.62/0.81 (step @p241 :rule chain_m_resolution :premises (@p240 @p200 @p194 @p224 @p238) :args (@t217 @t196 (@list @t185 @t183 @t181 @t218))) % 0.62/0.81 (step @p242 :rule bool-double-not-elim :args (@t179)) % 0.62/0.81 (step @p243 :rule nary_cong :premises (@p183 @p242) :args ((or @t187 (not @t180)))) % 0.62/0.81 (step @p244 :rule cnf_or_neg :args (@t187 3)) % 0.62/0.81 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.62/0.81 (step @p246 :rule reordering :premises (@p245) :args ((or @t179 @t187))) % 0.62/0.81 (step @p247 :rule chain_m_resolution :premises (@p246 @p181) :args (@t179 @t188 @t189)) % 0.62/0.81 (step @p248 :rule cnf_equiv_pos1 :args (@t217)) % 0.62/0.81 (step @p249 :rule reordering :premises (@p248) :args ((or @t180 @t216 (not @t217)))) % 0.62/0.81 (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p241) :args (@t216 @t215 (@list @t179 @t217))) % 0.62/0.81 (step @p251 :rule instantiate :premises (@p250) :args ((@list @t199))) % 0.62/0.81 (step @p252 :rule bool-double-not-elim :args (@t203)) % 0.62/0.81 (step @p253 :rule nary_cong :premises (@p211 @p252) :args ((or @t205 (not @t204)))) % 0.62/0.81 (step @p254 :rule cnf_or_neg :args (@t205 0)) % 0.62/0.81 (step @p255 :rule eq_resolve :premises (@p254 @p253)) % 0.62/0.81 (step @p256 :rule reordering :premises (@p255) :args ((or @t203 @t205))) % 0.62/0.81 (step @p257 :rule chain_m_resolution :premises (@p256 @p209) :args (@t203 @t188 @t206)) % 0.62/0.81 (step @p258 :rule cnf_or_pos :args (@t220)) % 0.62/0.81 (step @p259 :rule reordering :premises (@p258) :args ((or @t204 @t219 (not @t220)))) % 0.62/0.81 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p251) :args (@t219 @t215 (@list @t203 @t220))) % 0.62/0.81 (step @p261 :rule skolemize :premises (@p260)) % 0.62/0.81 (step @p262 :rule bool-double-not-elim :args (@t221)) % 0.62/0.81 (step @p263 :rule refl :args (@t225)) % 0.62/0.81 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t225 (not @t224)))) % 0.62/0.81 (step @p265 :rule cnf_or_neg :args (@t225 0)) % 0.62/0.81 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.62/0.81 (step @p267 :rule reordering :premises (@p266) :args ((or @t221 @t225))) % 0.62/0.81 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t221 @t188 @t226)) % 0.62/0.81 (step @p269 :rule cnf_or_pos :args (@t228)) % 0.62/0.81 (step @p270 :rule reordering :premises (@p269) :args ((or @t224 @t227 (not @t228)))) % 0.62/0.81 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p237) :args (@t227 @t215 (@list @t221 @t228))) % 0.62/0.81 (step @p272 :rule skolemize :premises (@p271)) % 0.62/0.81 (step @p273 :rule bool-double-not-elim :args (@t229)) % 0.62/0.81 (step @p274 :rule refl :args (@t233)) % 0.62/0.81 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or @t233 (not @t232)))) % 0.62/0.81 (step @p276 :rule cnf_or_neg :args (@t233 0)) % 0.62/0.81 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.62/0.81 (step @p278 :rule reordering :premises (@p277) :args ((or @t229 @t233))) % 0.62/0.81 (step @p279 :rule chain_m_resolution :premises (@p278 @p272) :args (@t229 @t188 @t234)) % 0.62/0.81 (step @p280 :rule cnf_or_pos :args (@t237)) % 0.62/0.81 (step @p281 :rule reordering :premises (@p280) :args ((or @t232 @t236 (not @t237)))) % 0.62/0.81 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p217) :args (@t236 @t215 (@list @t229 @t237))) % 0.62/0.81 (step @p283 :rule bool-double-not-elim :args (@t230)) % 0.62/0.81 (step @p284 :rule nary_cong :premises (@p274 @p283) :args ((or @t233 (not @t231)))) % 0.62/0.81 (step @p285 :rule cnf_or_neg :args (@t233 1)) % 0.62/0.81 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 0.62/0.81 (step @p287 :rule reordering :premises (@p286) :args ((or @t230 @t233))) % 0.62/0.81 (step @p288 :rule chain_m_resolution :premises (@p287 @p272) :args (@t230 @t188 @t234)) % 0.62/0.81 (step @p289 :rule bool-double-not-elim :args (@t222)) % 0.62/0.81 (step @p290 :rule nary_cong :premises (@p263 @p289) :args ((or @t225 (not @t223)))) % 0.62/0.81 (step @p291 :rule cnf_or_neg :args (@t225 1)) % 0.62/0.81 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.62/0.81 (step @p293 :rule reordering :premises (@p292) :args ((or @t222 @t225))) % 0.62/0.81 (step @p294 :rule chain_m_resolution :premises (@p293 @p261) :args (@t222 @t188 @t226)) % 0.62/0.81 (step @p295 :rule cnf_or_pos :args (@t238)) % 0.62/0.81 (step @p296 :rule reordering :premises (@p295) :args ((or @t223 @t231 @t235 @t239))) % 0.62/0.81 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p288 @p282) :args (@t239 (@list false false true) (@list @t222 @t230 @t235))) % 0.62/0.81 (assume-push @p304 @t240) % 0.62/0.81 (step @p299 :rule instantiate :premises (@p47) :args ((@list @t211 @t209 @t199))) % 0.62/0.81 (step-pop @p305 :rule scope :premises (@p299)) % 0.62/0.81 (step @p300 :rule process_scope :premises (@p305) :args (@t238)) % 0.62/0.81 (step @p302 :rule implies_elim :premises (@p300)) % 0.62/0.81 (step @p303 false :rule chain_m_resolution :premises (@p302 @p297 @p47) :args (false @t198 (@list @t238 @t240))) % 0.62/0.81 ) % 0.62/0.81 % SZS output end Proof % 0.62/0.81 % cvc5 exiting %------------------------------------------------------------------------------