%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU299+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:51:17 AM UTC 2026 % Result : Theorem 0.35s 0.64s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU299+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n011.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:54:05 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.64 % SZS status Theorem % 0.35/0.64 % SZS output start Proof % 0.35/0.64 ( % 0.35/0.64 (declare-sort $$unsorted 0) % 0.35/0.64 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.empty_set $$unsorted) % 0.35/0.64 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.omega $$unsorted) % 0.35/0.64 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.function (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.35/0.64 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.35/0.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.35/0.65 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.35/0.65 (define @t1 () (@var "F" $$unsorted)) % 0.35/0.65 (define @t2 () (@var "G" $$unsorted)) % 0.35/0.65 (define @t3 () (tptp.subset @t1 @t2)) % 0.35/0.65 (define @t4 () (@var "E" $$unsorted)) % 0.35/0.65 (define @t5 () (tptp.in @t2 @t4)) % 0.35/0.65 (define @t6 () (and @t5 @t3)) % 0.35/0.65 (define @t7 () (=> @t6 (= @t2 @t1))) % 0.35/0.65 (define @t8 () (@list @t2)) % 0.35/0.65 (define @t9 () (forall @t8 @t7)) % 0.35/0.65 (define @t10 () (tptp.in @t1 @t4)) % 0.35/0.65 (define @t11 () (and @t10 @t9)) % 0.35/0.65 (define @t12 () (not @t11)) % 0.35/0.65 (define @t13 () (@list @t1)) % 0.35/0.65 (define @t14 () (forall @t13 @t12)) % 0.35/0.65 (define @t15 () (not (= @t4 tptp.empty_set))) % 0.35/0.65 (define @t16 () (and @t15 @t14)) % 0.35/0.65 (define @t17 () (not @t16)) % 0.35/0.65 (define @t18 () (@var "D" $$unsorted)) % 0.35/0.65 (define @t19 () (tptp.powerset (tptp.powerset @t18))) % 0.35/0.65 (define @t20 () (tptp.element @t4 @t19)) % 0.35/0.65 (define @t21 () (=> @t20 @t17)) % 0.35/0.65 (define @t22 () (@list @t4)) % 0.35/0.65 (define @t23 () (forall @t22 @t21)) % 0.35/0.65 (define @t24 () (tptp.in @t18 tptp.omega)) % 0.35/0.65 (define @t25 () (=> @t24 @t23)) % 0.35/0.65 (define @t26 () (@var "C" $$unsorted)) % 0.35/0.65 (define @t27 () (= @t26 @t18)) % 0.35/0.65 (define @t28 () (tptp.ordinal @t18)) % 0.35/0.65 (define @t29 () (and @t28 @t27 @t25)) % 0.35/0.65 (define @t30 () (@list @t18)) % 0.35/0.65 (define @t31 () (exists @t30 @t29)) % 0.35/0.65 (define @t32 () (@var "A" $$unsorted)) % 0.35/0.65 (define @t33 () (tptp.succ @t32)) % 0.35/0.65 (define @t34 () (tptp.in @t26 @t33)) % 0.35/0.65 (define @t35 () (and @t34 @t31)) % 0.35/0.65 (define @t36 () (@var "B" $$unsorted)) % 0.35/0.65 (define @t37 () (tptp.in @t26 @t36)) % 0.35/0.65 (define @t38 () (= @t37 @t35)) % 0.35/0.65 (define @t39 () (@list @t26)) % 0.35/0.65 (define @t40 () (forall @t39 @t38)) % 0.35/0.65 (define @t41 () (@list @t36)) % 0.35/0.65 (define @t42 () (exists @t41 @t40)) % 0.35/0.65 (define @t43 () (tptp.ordinal @t32)) % 0.35/0.65 (define @t44 () (=> @t43 @t42)) % 0.35/0.65 (define @t45 () (@list @t32)) % 0.35/0.65 (define @t46 () (forall @t45 @t44)) % 0.35/0.65 (define @t47 () (not @t46)) % 0.35/0.65 (define @t48 () (tptp.finite @t32)) % 0.35/0.65 (define @t49 () (tptp.empty @t32)) % 0.35/0.65 (define @t50 () (not @t49)) % 0.35/0.65 (define @t51 () (tptp.finite @t36)) % 0.35/0.65 (define @t52 () (tptp.ordinal @t36)) % 0.35/0.65 (define @t53 () (tptp.epsilon_connected @t36)) % 0.35/0.65 (define @t54 () (tptp.epsilon_transitive @t36)) % 0.35/0.65 (define @t55 () (tptp.empty @t36)) % 0.35/0.65 (define @t56 () (tptp.powerset @t32)) % 0.35/0.65 (define @t57 () (tptp.element @t36 @t56)) % 0.35/0.65 (define @t58 () (not @t55)) % 0.35/0.65 (define @t59 () (tptp.function @t32)) % 0.35/0.65 (define @t60 () (tptp.relation @t32)) % 0.35/0.65 (define @t61 () (and @t60 @t49 @t59)) % 0.35/0.65 (define @t62 () (tptp.one_to_one @t32)) % 0.35/0.65 (define @t63 () (and @t60 @t59 @t62)) % 0.35/0.65 (define @t64 () (tptp.relation_empty_yielding @t32)) % 0.35/0.65 (define @t65 () (tptp.natural @t32)) % 0.35/0.65 (define @t66 () (tptp.epsilon_connected @t32)) % 0.35/0.65 (define @t67 () (tptp.epsilon_transitive @t32)) % 0.35/0.65 (define @t68 () (and @t67 @t66 @t43 @t65)) % 0.35/0.65 (define @t69 () (tptp.ordinal @t33)) % 0.35/0.65 (define @t70 () (tptp.epsilon_connected @t33)) % 0.35/0.65 (define @t71 () (tptp.epsilon_transitive @t33)) % 0.35/0.65 (define @t72 () (not (tptp.empty @t33))) % 0.35/0.65 (define @t73 () (and @t67 @t66)) % 0.35/0.65 (define @t74 () (and @t67 @t66 @t43)) % 0.35/0.65 (define @t75 () (@list @t32 @t36)) % 0.35/0.65 (define @t76 () (tptp.relation tptp.empty_set)) % 0.35/0.65 (define @t77 () (tptp.empty tptp.empty_set)) % 0.35/0.65 (define @t78 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.35/0.65 (define @t79 () (@var "O" $$unsorted)) % 0.35/0.65 (define @t80 () (@var "P" $$unsorted)) % 0.35/0.65 (define @t81 () (tptp.subset @t79 @t80)) % 0.35/0.65 (define @t82 () (@var "N" $$unsorted)) % 0.35/0.65 (define @t83 () (tptp.in @t80 @t82)) % 0.35/0.65 (define @t84 () (and @t83 @t81)) % 0.35/0.65 (define @t85 () (=> @t84 (= @t80 @t79))) % 0.35/0.65 (define @t86 () (@list @t80)) % 0.35/0.65 (define @t87 () (forall @t86 @t85)) % 0.35/0.65 (define @t88 () (tptp.in @t79 @t82)) % 0.35/0.65 (define @t89 () (and @t88 @t87)) % 0.35/0.65 (define @t90 () (not @t89)) % 0.35/0.65 (define @t91 () (@list @t79)) % 0.35/0.65 (define @t92 () (forall @t91 @t90)) % 0.35/0.65 (define @t93 () (not (= @t82 tptp.empty_set))) % 0.35/0.65 (define @t94 () (and @t93 @t92)) % 0.35/0.65 (define @t95 () (not @t94)) % 0.35/0.65 (define @t96 () (@var "M" $$unsorted)) % 0.35/0.65 (define @t97 () (tptp.element @t82 (tptp.powerset (tptp.powerset @t96)))) % 0.35/0.65 (define @t98 () (=> @t97 @t95)) % 0.35/0.65 (define @t99 () (@list @t82)) % 0.35/0.65 (define @t100 () (forall @t99 @t98)) % 0.35/0.65 (define @t101 () (tptp.in @t96 tptp.omega)) % 0.35/0.65 (define @t102 () (=> @t101 @t100)) % 0.35/0.65 (define @t103 () (= @t26 @t96)) % 0.35/0.65 (define @t104 () (tptp.ordinal @t96)) % 0.35/0.65 (define @t105 () (and @t104 @t103 @t102)) % 0.35/0.65 (define @t106 () (@list @t96)) % 0.35/0.65 (define @t107 () (exists @t106 @t105)) % 0.35/0.65 (define @t108 () (= @t18 @t26)) % 0.35/0.65 (define @t109 () (tptp.in @t18 @t33)) % 0.35/0.65 (define @t110 () (and @t109 @t108 @t107)) % 0.35/0.65 (define @t111 () (exists @t30 @t110)) % 0.35/0.65 (define @t112 () (= @t37 @t111)) % 0.35/0.65 (define @t113 () (forall @t39 @t112)) % 0.35/0.65 (define @t114 () (exists @t41 @t113)) % 0.35/0.65 (define @t115 () (@var "K" $$unsorted)) % 0.35/0.65 (define @t116 () (@var "L" $$unsorted)) % 0.35/0.65 (define @t117 () (tptp.subset @t115 @t116)) % 0.35/0.65 (define @t118 () (@var "J" $$unsorted)) % 0.35/0.65 (define @t119 () (tptp.in @t116 @t118)) % 0.35/0.65 (define @t120 () (and @t119 @t117)) % 0.35/0.65 (define @t121 () (=> @t120 (= @t116 @t115))) % 0.35/0.65 (define @t122 () (@list @t116)) % 0.35/0.65 (define @t123 () (forall @t122 @t121)) % 0.35/0.65 (define @t124 () (tptp.in @t115 @t118)) % 0.35/0.65 (define @t125 () (and @t124 @t123)) % 0.35/0.65 (define @t126 () (not @t125)) % 0.35/0.65 (define @t127 () (@list @t115)) % 0.35/0.65 (define @t128 () (forall @t127 @t126)) % 0.35/0.65 (define @t129 () (not (= @t118 tptp.empty_set))) % 0.35/0.65 (define @t130 () (and @t129 @t128)) % 0.35/0.65 (define @t131 () (not @t130)) % 0.35/0.65 (define @t132 () (@var "I" $$unsorted)) % 0.35/0.65 (define @t133 () (tptp.element @t118 (tptp.powerset (tptp.powerset @t132)))) % 0.35/0.65 (define @t134 () (=> @t133 @t131)) % 0.35/0.65 (define @t135 () (@list @t118)) % 0.35/0.65 (define @t136 () (forall @t135 @t134)) % 0.35/0.65 (define @t137 () (tptp.in @t132 tptp.omega)) % 0.35/0.65 (define @t138 () (=> @t137 @t136)) % 0.35/0.65 (define @t139 () (= @t18 @t132)) % 0.35/0.65 (define @t140 () (tptp.ordinal @t132)) % 0.35/0.65 (define @t141 () (and @t140 @t139 @t138)) % 0.35/0.65 (define @t142 () (@list @t132)) % 0.35/0.65 (define @t143 () (exists @t142 @t141)) % 0.35/0.65 (define @t144 () (= @t36 @t18)) % 0.35/0.65 (define @t145 () (@var "H" $$unsorted)) % 0.35/0.65 (define @t146 () (tptp.subset @t2 @t145)) % 0.35/0.65 (define @t147 () (tptp.in @t145 @t1)) % 0.35/0.65 (define @t148 () (and @t147 @t146)) % 0.35/0.65 (define @t149 () (=> @t148 (= @t145 @t2))) % 0.35/0.65 (define @t150 () (@list @t145)) % 0.35/0.65 (define @t151 () (forall @t150 @t149)) % 0.35/0.65 (define @t152 () (tptp.in @t2 @t1)) % 0.35/0.65 (define @t153 () (and @t152 @t151)) % 0.35/0.65 (define @t154 () (not @t153)) % 0.35/0.65 (define @t155 () (forall @t8 @t154)) % 0.35/0.65 (define @t156 () (not (= @t1 tptp.empty_set))) % 0.35/0.65 (define @t157 () (and @t156 @t155)) % 0.35/0.65 (define @t158 () (not @t157)) % 0.35/0.65 (define @t159 () (tptp.element @t1 (tptp.powerset (tptp.powerset @t4)))) % 0.35/0.65 (define @t160 () (=> @t159 @t158)) % 0.35/0.65 (define @t161 () (forall @t13 @t160)) % 0.35/0.65 (define @t162 () (tptp.in @t4 tptp.omega)) % 0.35/0.65 (define @t163 () (=> @t162 @t161)) % 0.35/0.65 (define @t164 () (= @t26 @t4)) % 0.35/0.65 (define @t165 () (tptp.ordinal @t4)) % 0.35/0.65 (define @t166 () (and @t165 @t164 @t163)) % 0.35/0.65 (define @t167 () (exists @t22 @t166)) % 0.35/0.65 (define @t168 () (= @t36 @t26)) % 0.35/0.65 (define @t169 () (and @t168 @t167 @t144 @t143)) % 0.35/0.65 (define @t170 () (=> @t169 @t27)) % 0.35/0.65 (define @t171 () (@list @t36 @t26 @t18)) % 0.35/0.65 (define @t172 () (forall @t171 @t170)) % 0.35/0.65 (define @t173 () (=> @t172 @t114)) % 0.35/0.65 (define @t174 () (=> @t43 @t173)) % 0.35/0.65 (define @t175 () (forall @t45 @t174)) % 0.35/0.65 (define @t176 () (= @t1 @t2)) % 0.35/0.65 (define @t177 () (not @t3)) % 0.35/0.65 (define @t178 () (not @t5)) % 0.35/0.65 (define @t179 () (or @t178 @t177 @t176)) % 0.35/0.65 (define @t180 () (forall @t8 @t179)) % 0.35/0.65 (define @t181 () (forall @t13 (or (not @t10) (not @t180)))) % 0.35/0.65 (define @t182 () (not @t181)) % 0.35/0.65 (define @t183 () (= tptp.empty_set @t4)) % 0.35/0.65 (define @t184 () (tptp.powerset (tptp.powerset @t26))) % 0.35/0.65 (define @t185 () (forall @t22 (or (not (tptp.element @t4 @t184)) @t183 @t182))) % 0.35/0.65 (define @t186 () (tptp.in @t26 tptp.omega)) % 0.35/0.65 (define @t187 () (not @t186)) % 0.35/0.65 (define @t188 () (or @t187 @t185)) % 0.35/0.65 (define @t189 () (tptp.ordinal @t26)) % 0.35/0.65 (define @t190 () (and @t34 @t189 @t188)) % 0.35/0.65 (define @t191 () (forall @t39 (= @t37 @t190))) % 0.35/0.65 (define @t192 () (not (forall @t41 (not @t191)))) % 0.35/0.65 (define @t193 () (not @t185)) % 0.35/0.65 (define @t194 () (and @t186 @t193)) % 0.35/0.65 (define @t195 () (not @t194)) % 0.35/0.65 (define @t196 () (not @t189)) % 0.35/0.65 (define @t197 () (not @t196)) % 0.35/0.65 (define @t198 () (or @t196 @t194)) % 0.35/0.65 (define @t199 () (and @t34 (not @t198))) % 0.35/0.65 (define @t200 () (= @t37 @t199)) % 0.35/0.65 (define @t201 () (not (= @t26 @t26))) % 0.35/0.65 (define @t202 () (or @t196 @t201 @t194)) % 0.35/0.65 (define @t203 () (not @t20)) % 0.35/0.65 (define @t204 () (or @t203 @t183 @t182)) % 0.35/0.65 (define @t205 () (forall @t22 @t204)) % 0.35/0.65 (define @t206 () (and @t24 (not @t205))) % 0.35/0.65 (define @t207 () (not @t27)) % 0.35/0.65 (define @t208 () (not @t28)) % 0.35/0.65 (define @t209 () (not @t108)) % 0.35/0.65 (define @t210 () (or @t207 @t208 @t207 @t206)) % 0.35/0.65 (define @t211 () (or @t208 @t207 @t206)) % 0.35/0.65 (define @t212 () (=> @t24 @t205)) % 0.35/0.65 (define @t213 () (not @t212)) % 0.35/0.65 (define @t214 () (or @t208 @t207 @t213)) % 0.35/0.65 (define @t215 () (and @t28 @t27 @t212)) % 0.35/0.65 (define @t216 () (forall @t30 (not @t215))) % 0.35/0.65 (define @t217 () (not @t216)) % 0.35/0.65 (define @t218 () (not @t183)) % 0.35/0.65 (define @t219 () (not (and @t218 @t181))) % 0.35/0.65 (define @t220 () (= @t79 @t80)) % 0.35/0.65 (define @t221 () (not @t81)) % 0.35/0.65 (define @t222 () (not @t83)) % 0.35/0.65 (define @t223 () (or @t222 @t221 @t220)) % 0.35/0.65 (define @t224 () (forall @t86 @t223)) % 0.35/0.65 (define @t225 () (forall @t91 (or (not @t88) (not @t224)))) % 0.35/0.65 (define @t226 () (not @t225)) % 0.35/0.65 (define @t227 () (= tptp.empty_set @t82)) % 0.35/0.65 (define @t228 () (forall @t99 (or (not (tptp.element @t82 @t184)) @t227 @t226))) % 0.35/0.65 (define @t229 () (or @t187 @t228)) % 0.35/0.65 (define @t230 () (and @t34 @t189 @t229)) % 0.35/0.65 (define @t231 () (and @t189 @t229 @t34)) % 0.35/0.65 (define @t232 () (= @t37 @t231)) % 0.35/0.65 (define @t233 () (forall @t39 @t232)) % 0.35/0.65 (define @t234 () (not @t233)) % 0.35/0.65 (define @t235 () (forall @t41 @t234)) % 0.35/0.65 (define @t236 () (not @t235)) % 0.35/0.65 (define @t237 () (not @t43)) % 0.35/0.65 (define @t238 () (or @t237 @t236)) % 0.35/0.65 (define @t239 () (forall @t45 @t238)) % 0.35/0.65 (define @t240 () (forall @t45 (or @t237 (not (forall @t41 (not (forall @t39 (= @t37 @t230)))))))) % 0.35/0.65 (define @t241 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 0.35/0.65 (define @t242 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 0.35/0.65 (define @t243 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.35/0.65 (define @t244 () (@var "BOUND_VARIABLE_8499" $$unsorted)) % 0.35/0.65 (define @t245 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 0.35/0.65 (define @t246 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 0.35/0.65 (define @t247 () (@list @t246 @t244 @t245 @t243 @t242 @t241)) % 0.35/0.65 (define @t248 () (forall @t45 (or @t237 @t192))) % 0.35/0.65 (define @t249 () (@list true)) % 0.35/0.65 (define @t250 () (not @t228)) % 0.35/0.65 (define @t251 () (and @t186 @t250)) % 0.35/0.65 (define @t252 () (not @t251)) % 0.35/0.65 (define @t253 () (not @t34)) % 0.35/0.65 (define @t254 () (not @t253)) % 0.35/0.65 (define @t255 () (and @t197 @t252 @t254)) % 0.35/0.65 (define @t256 () (= @t37 (not (or @t196 @t251 @t253)))) % 0.35/0.65 (define @t257 () (or @t253 @t201)) % 0.35/0.65 (define @t258 () (not @t109)) % 0.35/0.65 (define @t259 () (or @t207 @t258 @t207)) % 0.35/0.65 (define @t260 () (or @t258 @t207)) % 0.35/0.65 (define @t261 () (forall @t30 @t260)) % 0.35/0.65 (define @t262 () (or @t196 @t251 @t261)) % 0.35/0.65 (define @t263 () (or @t196 @t251 @t260)) % 0.35/0.65 (define @t264 () (or @t258 @t207 @t196 @t251)) % 0.35/0.65 (define @t265 () (or @t196 @t251)) % 0.35/0.65 (define @t266 () (not @t265)) % 0.35/0.65 (define @t267 () (not @t266)) % 0.35/0.65 (define @t268 () (or @t258 @t207 @t267)) % 0.35/0.65 (define @t269 () (and @t109 @t27 @t266)) % 0.35/0.65 (define @t270 () (forall @t30 (not @t269))) % 0.35/0.65 (define @t271 () (not @t270)) % 0.35/0.65 (define @t272 () (or @t196 @t201 @t251)) % 0.35/0.65 (define @t273 () (not @t97)) % 0.35/0.65 (define @t274 () (or @t273 @t227 @t226)) % 0.35/0.65 (define @t275 () (forall @t99 @t274)) % 0.35/0.65 (define @t276 () (and @t101 (not @t275))) % 0.35/0.65 (define @t277 () (not @t103)) % 0.35/0.65 (define @t278 () (not @t104)) % 0.35/0.65 (define @t279 () (or @t277 @t278 @t277 @t276)) % 0.35/0.65 (define @t280 () (or @t278 @t277 @t276)) % 0.35/0.65 (define @t281 () (=> @t101 @t275)) % 0.35/0.65 (define @t282 () (not @t281)) % 0.35/0.65 (define @t283 () (or @t278 @t277 @t282)) % 0.35/0.65 (define @t284 () (and @t104 @t103 @t281)) % 0.35/0.65 (define @t285 () (forall @t106 (not @t284))) % 0.35/0.65 (define @t286 () (not @t285)) % 0.35/0.65 (define @t287 () (not @t227)) % 0.35/0.65 (define @t288 () (not (and @t287 @t225))) % 0.35/0.65 (define @t289 () (@list @t26 @t18)) % 0.35/0.65 (define @t290 () (= @t2 @t145)) % 0.35/0.65 (define @t291 () (not @t146)) % 0.35/0.65 (define @t292 () (not @t147)) % 0.35/0.65 (define @t293 () (or @t292 @t291 @t290)) % 0.35/0.65 (define @t294 () (forall @t150 @t293)) % 0.35/0.65 (define @t295 () (forall @t8 (or (not @t152) (not @t294)))) % 0.35/0.65 (define @t296 () (not @t295)) % 0.35/0.65 (define @t297 () (= tptp.empty_set @t1)) % 0.35/0.65 (define @t298 () (and @t186 (not (forall @t13 (or (not (tptp.element @t1 @t184)) @t297 @t296))))) % 0.35/0.65 (define @t299 () (= @t115 @t116)) % 0.35/0.65 (define @t300 () (not @t117)) % 0.35/0.65 (define @t301 () (not @t119)) % 0.35/0.65 (define @t302 () (or @t301 @t300 @t299)) % 0.35/0.65 (define @t303 () (forall @t122 @t302)) % 0.35/0.65 (define @t304 () (forall @t127 (or (not @t124) (not @t303)))) % 0.35/0.65 (define @t305 () (not @t304)) % 0.35/0.65 (define @t306 () (= tptp.empty_set @t118)) % 0.35/0.65 (define @t307 () (and @t24 (not (forall @t135 (or (not (tptp.element @t118 @t19)) @t306 @t305))))) % 0.35/0.65 (define @t308 () (or @t196 @t298 @t207 @t208 @t307 @t27)) % 0.35/0.65 (define @t309 () (or @t201 @t196 @t298 @t207 @t208 @t307 @t27)) % 0.35/0.65 (define @t310 () (not @t144)) % 0.35/0.65 (define @t311 () (not @t168)) % 0.35/0.65 (define @t312 () (or @t311 @t311 @t196 @t298 @t310 @t208 @t307 @t27)) % 0.35/0.65 (define @t313 () (or @t311 @t196 @t298 @t310 @t208 @t307 @t27)) % 0.35/0.65 (define @t314 () (forall @t41 @t313)) % 0.35/0.65 (define @t315 () (forall @t289 @t314)) % 0.35/0.65 (define @t316 () (forall (@list @t26 @t18 @t36) @t313)) % 0.35/0.65 (define @t317 () (or @t311 @t196 @t298 @t310 @t208 @t307)) % 0.35/0.65 (define @t318 () (or @t208 @t307)) % 0.35/0.65 (define @t319 () (or @t196 @t298)) % 0.35/0.65 (define @t320 () (not @t318)) % 0.35/0.65 (define @t321 () (not @t320)) % 0.35/0.65 (define @t322 () (not @t319)) % 0.35/0.65 (define @t323 () (not @t322)) % 0.35/0.65 (define @t324 () (or @t311 @t323 @t310 @t321)) % 0.35/0.65 (define @t325 () (and @t168 @t322 @t144 @t320)) % 0.35/0.65 (define @t326 () (not (= @t18 @t18))) % 0.35/0.65 (define @t327 () (or @t208 @t326 @t307)) % 0.35/0.65 (define @t328 () (not @t133)) % 0.35/0.65 (define @t329 () (or @t328 @t306 @t305)) % 0.35/0.65 (define @t330 () (forall @t135 @t329)) % 0.35/0.65 (define @t331 () (and @t137 (not @t330))) % 0.35/0.65 (define @t332 () (not @t139)) % 0.35/0.65 (define @t333 () (not @t140)) % 0.35/0.65 (define @t334 () (or @t332 @t333 @t332 @t331)) % 0.35/0.65 (define @t335 () (or @t333 @t332 @t331)) % 0.35/0.65 (define @t336 () (=> @t137 @t330)) % 0.35/0.65 (define @t337 () (not @t336)) % 0.35/0.65 (define @t338 () (or @t333 @t332 @t337)) % 0.35/0.65 (define @t339 () (and @t140 @t139 @t336)) % 0.35/0.65 (define @t340 () (forall @t142 (not @t339))) % 0.35/0.65 (define @t341 () (not @t340)) % 0.35/0.65 (define @t342 () (not @t306)) % 0.35/0.65 (define @t343 () (not (and @t342 @t304))) % 0.35/0.65 (define @t344 () (or @t196 @t201 @t298)) % 0.35/0.65 (define @t345 () (not @t159)) % 0.35/0.65 (define @t346 () (or @t345 @t297 @t296)) % 0.35/0.65 (define @t347 () (forall @t13 @t346)) % 0.35/0.65 (define @t348 () (and @t162 (not @t347))) % 0.35/0.65 (define @t349 () (not @t164)) % 0.35/0.65 (define @t350 () (not @t165)) % 0.35/0.65 (define @t351 () (or @t349 @t350 @t349 @t348)) % 0.35/0.65 (define @t352 () (or @t350 @t349 @t348)) % 0.35/0.65 (define @t353 () (=> @t162 @t347)) % 0.35/0.65 (define @t354 () (not @t353)) % 0.35/0.65 (define @t355 () (or @t350 @t349 @t354)) % 0.35/0.65 (define @t356 () (and @t165 @t164 @t353)) % 0.35/0.65 (define @t357 () (forall @t22 (not @t356))) % 0.35/0.65 (define @t358 () (not @t357)) % 0.35/0.65 (define @t359 () (not @t297)) % 0.35/0.65 (define @t360 () (not (and @t359 @t295))) % 0.35/0.65 (assume @p1 @t47) % 0.35/0.65 (assume @p2 (exists @t45 (and @t50 @t48))) % 0.35/0.65 (assume @p3 (forall @t45 (exists @t41 (and @t57 @t55 (tptp.relation @t36) (tptp.function @t36) (tptp.one_to_one @t36) @t54 @t53 @t52 (tptp.natural @t36) @t51)))) % 0.35/0.65 (assume @p4 (forall @t45 (=> @t50 (exists @t41 (and @t57 @t58 @t51))))) % 0.35/0.65 (assume @p5 (forall @t45 (=> @t48 (forall @t41 (=> @t57 @t51))))) % 0.35/0.65 (assume @p6 (forall @t45 (=> @t49 @t48))) % 0.35/0.65 (assume @p7 (exists @t45 (and @t60 @t59))) % 0.35/0.65 (assume @p8 (forall @t45 (=> @t49 @t59))) % 0.35/0.65 (assume @p9 (exists @t45 @t61)) % 0.35/0.65 (assume @p10 (forall @t45 (=> @t61 @t63))) % 0.35/0.65 (assume @p11 (exists @t45 @t63)) % 0.35/0.65 (assume @p12 (exists @t45 (and @t60 @t64 @t59))) % 0.35/0.65 (assume @p13 (exists @t45 (and @t49 @t60))) % 0.35/0.65 (assume @p14 (forall @t45 (=> @t49 @t60))) % 0.35/0.65 (assume @p15 (exists @t45 (and @t50 @t60))) % 0.35/0.65 (assume @p16 (exists @t45 (and @t60 @t64))) % 0.35/0.65 (assume @p17 (forall @t45 (=> (and @t49 @t43) @t68))) % 0.35/0.65 (assume @p18 (exists @t45 (and @t50 @t67 @t66 @t43 @t65))) % 0.35/0.65 (assume @p19 (forall @t45 (=> (and @t43 @t65) (and @t72 @t71 @t70 @t69 (tptp.natural @t33))))) % 0.35/0.65 (assume @p20 (forall @t45 (=> @t73 @t43))) % 0.35/0.65 (assume @p21 (exists @t45 @t74)) % 0.35/0.65 (assume @p22 (exists @t45 (and @t60 @t59 @t62 @t49 @t67 @t66 @t43))) % 0.35/0.65 (assume @p23 (forall @t45 (=> @t49 @t74))) % 0.35/0.65 (assume @p24 (exists @t45 (and @t50 @t67 @t66 @t43))) % 0.35/0.65 (assume @p25 (forall @t45 (=> @t50 (exists @t41 (and @t57 @t58))))) % 0.35/0.65 (assume @p26 (forall @t45 (exists @t41 (and @t57 @t55)))) % 0.35/0.65 (assume @p27 (exists @t45 @t49)) % 0.35/0.65 (assume @p28 (exists @t45 @t50)) % 0.35/0.65 (assume @p29 (forall @t75 (tptp.subset @t32 @t32))) % 0.35/0.65 (assume @p30 (forall @t75 (=> (tptp.in @t32 @t36) (not (tptp.in @t36 @t32))))) % 0.35/0.65 (assume @p31 true) % 0.35/0.65 (assume @p32 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not (tptp.empty tptp.omega)))) % 0.35/0.65 (assume @p33 (and @t77 @t76)) % 0.35/0.65 (assume @p34 (and @t77 @t76 @t78)) % 0.35/0.65 (assume @p35 (forall @t45 (=> @t43 (forall @t41 (=> (tptp.element @t36 @t32) (and @t54 @t53 @t52)))))) % 0.35/0.65 (assume @p36 (forall @t45 (=> (tptp.element @t32 tptp.omega) @t68))) % 0.35/0.65 (assume @p37 (forall @t45 @t72)) % 0.35/0.65 (assume @p38 (forall @t45 (=> @t43 @t73))) % 0.35/0.65 (assume @p39 (and @t76 @t78 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t77 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.35/0.65 (assume @p40 (forall @t45 (=> @t43 (and @t72 @t71 @t70 @t69)))) % 0.35/0.65 (assume @p41 (forall @t45 (not (tptp.empty @t56)))) % 0.35/0.65 (assume @p42 @t77) % 0.35/0.65 (assume @p43 @t175) % 0.35/0.65 (step @p44 :rule bool-impl-elim :args (@t43 @t192)) % 0.35/0.65 (step @p45 :rule cong :premises (@p44) :args ((forall @t45 (=> @t43 @t192)))) % 0.35/0.65 (step @p46 :rule exists-elim :args ((= (exists @t41 @t191) @t192))) % 0.35/0.65 (step @p47 :rule aci_norm :args ((= (and @t34 (and @t189 @t188)) @t190))) % 0.35/0.65 (step @p48 :rule bool-double-not-elim :args (@t185)) % 0.35/0.65 (step @p49 :rule refl :args (@t187)) % 0.35/0.65 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t187 (not @t193)))) % 0.35/0.65 (step @p51 :rule bool-and-de-morgan :args (@t186 @t193 true)) % 0.35/0.65 (step @p52 :rule trans :premises (@p51 @p50)) % 0.35/0.65 (step @p53 :rule refl :args (@t189)) % 0.35/0.65 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((and @t189 @t195))) % 0.35/0.65 (step @p55 :rule refl :args (@t195)) % 0.35/0.65 (step @p56 :rule bool-double-not-elim :args (@t189)) % 0.35/0.65 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((and @t197 @t195))) % 0.35/0.65 (step @p58 :rule bool-or-de-morgan :args (@t196 @t194 false)) % 0.35/0.65 (step @p59 :rule trans :premises (@p58 @p57)) % 0.35/0.65 (step @p60 :rule trans :premises (@p59 @p54)) % 0.35/0.65 (step @p61 :rule refl :args (@t34)) % 0.35/0.65 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t199)) % 0.35/0.65 (step @p63 :rule trans :premises (@p62 @p47)) % 0.35/0.65 (step @p64 :rule refl :args (@t37)) % 0.35/0.65 (step @p65 :rule cong :premises (@p64 @p63) :args (@t200)) % 0.35/0.65 (step @p66 :rule cong :premises (@p65) :args ((forall @t39 @t200))) % 0.35/0.65 (step @p67 :rule aci_norm :args ((= (or @t196 false @t194) @t198))) % 0.35/0.65 (step @p68 :rule refl :args (@t194)) % 0.35/0.65 (step @p69 :rule evaluate :args ((not true))) % 0.35/0.65 (step @p70 :rule eq-refl :args (@t26)) % 0.35/0.65 (step @p71 :rule cong :premises (@p70) :args (@t201)) % 0.35/0.65 (step @p72 :rule trans :premises (@p71 @p69)) % 0.35/0.65 (step @p73 :rule refl :args (@t196)) % 0.35/0.65 (step @p74 :rule nary_cong :premises (@p73 @p72 @p68) :args (@t202)) % 0.35/0.65 (step @p75 :rule trans :premises (@p74 @p67)) % 0.35/0.65 (step @p76 :rule quant-var-elim-eq :args ((= (forall @t30 (or @t209 @t208 @t207 @t206)) @t202))) % 0.35/0.65 (step @p77 :rule refl :args (@t206)) % 0.35/0.65 (step @p78 :rule refl :args (@t207)) % 0.35/0.65 (step @p79 :rule refl :args (@t208)) % 0.35/0.65 (step @p80 :rule eq-symm :args (@t26 @t18)) % 0.35/0.65 (step @p81 :rule cong :premises (@p80) :args (@t207)) % 0.35/0.65 (step @p82 :rule nary_cong :premises (@p81 @p79 @p78 @p77) :args (@t210)) % 0.35/0.65 (step @p83 :rule aci_norm :args ((= @t211 @t210))) % 0.35/0.65 (step @p84 :rule trans :premises (@p83 @p82)) % 0.35/0.65 (step @p85 :rule cong :premises (@p84) :args ((forall @t30 @t211))) % 0.35/0.65 (step @p86 :rule trans :premises (@p85 @p76)) % 0.35/0.65 (step @p87 :rule trans :premises (@p86 @p75)) % 0.35/0.65 (step @p88 :rule bool-implies-de-morgan :args (@t24 @t205)) % 0.35/0.65 (step @p89 :rule nary_cong :premises (@p79 @p78 @p88) :args (@t214)) % 0.35/0.65 (step @p90 :rule aci_norm :args ((= (or @t208 (or @t207 @t213)) @t214))) % 0.35/0.65 (step @p91 :rule bool-and-de-morgan :args (@t27 @t212 true)) % 0.35/0.65 (step @p92 :rule nary_cong :premises (@p79 @p91) :args ((or @t208 (not (and @t27 @t212))))) % 0.35/0.65 (step @p93 :rule bool-and-de-morgan :args (@t28 @t27 (and @t212))) % 0.35/0.65 (step @p94 :rule trans :premises (@p93 @p92)) % 0.35/0.65 (step @p95 :rule trans :premises (@p94 @p90)) % 0.35/0.65 (step @p96 :rule trans :premises (@p95 @p89)) % 0.35/0.65 (step @p97 :rule cong :premises (@p96) :args (@t216)) % 0.35/0.65 (step @p98 :rule trans :premises (@p97 @p87)) % 0.35/0.65 (step @p99 :rule cong :premises (@p98) :args (@t217)) % 0.35/0.65 (step @p100 :rule exists-elim :args ((= (exists @t30 @t215) @t217))) % 0.35/0.65 (step @p101 :rule trans :premises (@p100 @p99)) % 0.35/0.65 (step @p102 :rule aci_norm :args ((= (or @t203 (or @t183 @t182)) @t204))) % 0.35/0.65 (step @p103 :rule refl :args (@t182)) % 0.35/0.65 (step @p104 :rule bool-double-not-elim :args (@t183)) % 0.35/0.65 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t218) @t182))) % 0.35/0.65 (step @p106 :rule bool-and-de-morgan :args (@t218 @t181 true)) % 0.35/0.65 (step @p107 :rule trans :premises (@p106 @p105)) % 0.35/0.65 (step @p108 :rule refl :args (@t203)) % 0.35/0.65 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t203 @t219))) % 0.35/0.65 (step @p110 :rule trans :premises (@p109 @p102)) % 0.35/0.65 (step @p111 :rule bool-impl-elim :args (@t20 @t219)) % 0.35/0.65 (step @p112 :rule trans :premises (@p111 @p110)) % 0.35/0.65 (step @p113 :rule cong :premises (@p112) :args ((forall @t22 (=> @t20 @t219)))) % 0.35/0.65 (step @p114 :rule bool-and-de-morgan :args (@t10 @t180 true)) % 0.35/0.65 (step @p115 :rule cong :premises (@p114) :args ((forall @t13 (not (and @t10 @t180))))) % 0.35/0.65 (step @p116 :rule aci_norm :args ((= (or (or @t178 @t177) @t176) @t179))) % 0.35/0.65 (step @p117 :rule refl :args (@t176)) % 0.35/0.65 (step @p118 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.35/0.65 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t6) @t176))) % 0.35/0.65 (step @p120 :rule trans :premises (@p119 @p116)) % 0.35/0.65 (step @p121 :rule bool-impl-elim :args (@t6 @t176)) % 0.35/0.65 (step @p122 :rule trans :premises (@p121 @p120)) % 0.35/0.65 (step @p123 :rule cong :premises (@p122) :args ((forall @t8 (=> @t6 @t176)))) % 0.35/0.65 (step @p124 :rule eq-symm :args (@t2 @t1)) % 0.35/0.65 (step @p125 :rule refl :args (@t6)) % 0.35/0.65 (step @p126 :rule cong :premises (@p125 @p124) :args (@t7)) % 0.35/0.65 (step @p127 :rule cong :premises (@p126) :args (@t9)) % 0.35/0.65 (step @p128 :rule trans :premises (@p127 @p123)) % 0.35/0.65 (step @p129 :rule refl :args (@t10)) % 0.35/0.65 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t11)) % 0.35/0.65 (step @p131 :rule cong :premises (@p130) :args (@t12)) % 0.35/0.65 (step @p132 :rule cong :premises (@p131) :args (@t14)) % 0.35/0.65 (step @p133 :rule trans :premises (@p132 @p115)) % 0.35/0.65 (step @p134 :rule eq-symm :args (@t4 tptp.empty_set)) % 0.35/0.65 (step @p135 :rule cong :premises (@p134) :args (@t15)) % 0.35/0.65 (step @p136 :rule nary_cong :premises (@p135 @p133) :args (@t16)) % 0.35/0.65 (step @p137 :rule cong :premises (@p136) :args (@t17)) % 0.35/0.65 (step @p138 :rule refl :args (@t20)) % 0.35/0.65 (step @p139 :rule cong :premises (@p138 @p137) :args (@t21)) % 0.35/0.65 (step @p140 :rule cong :premises (@p139) :args (@t23)) % 0.35/0.65 (step @p141 :rule trans :premises (@p140 @p113)) % 0.35/0.65 (step @p142 :rule refl :args (@t24)) % 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@t307) @t318))) % 0.35/0.65 (step @p378 :rule eq-refl :args (@t18)) % 0.35/0.65 (step @p379 :rule cong :premises (@p378) :args (@t326)) % 0.35/0.65 (step @p380 :rule trans :premises (@p379 @p69)) % 0.35/0.65 (step @p381 :rule nary_cong :premises (@p334 @p380 @p333) :args (@t327)) % 0.35/0.65 (step @p382 :rule trans :premises (@p381 @p377)) % 0.35/0.65 (step @p383 :rule quant-var-elim-eq :args ((= (forall @t142 (or (not (= @t132 @t18)) @t333 @t332 @t331)) @t327))) % 0.35/0.65 (step @p384 :rule refl :args (@t331)) % 0.35/0.65 (step @p385 :rule refl :args (@t332)) % 0.35/0.65 (step @p386 :rule refl :args (@t333)) % 0.35/0.65 (step @p387 :rule eq-symm :args (@t18 @t132)) % 0.35/0.65 (step @p388 :rule cong :premises (@p387) :args (@t332)) % 0.35/0.65 (step @p389 :rule nary_cong :premises (@p388 @p386 @p385 @p384) :args (@t334)) % 0.35/0.65 (step @p390 :rule aci_norm :args ((= @t335 @t334))) % 0.35/0.65 (step @p391 :rule trans :premises (@p390 @p389)) % 0.35/0.65 (step @p392 :rule cong 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0.35/0.65 (step @p406 :rule cong :premises (@p405) :args (@t341)) % 0.35/0.65 (step @p407 :rule exists-elim :args ((= (exists @t142 @t339) @t341))) % 0.35/0.65 (step @p408 :rule trans :premises (@p407 @p406)) % 0.35/0.65 (step @p409 :rule aci_norm :args ((= (or @t328 (or @t306 @t305)) @t329))) % 0.35/0.65 (step @p410 :rule refl :args (@t305)) % 0.35/0.65 (step @p411 :rule bool-double-not-elim :args (@t306)) % 0.35/0.65 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or (not @t342) @t305))) % 0.35/0.65 (step @p413 :rule bool-and-de-morgan :args (@t342 @t304 true)) % 0.35/0.65 (step @p414 :rule trans :premises (@p413 @p412)) % 0.35/0.65 (step @p415 :rule refl :args (@t328)) % 0.35/0.65 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t328 @t343))) % 0.35/0.65 (step @p417 :rule trans :premises (@p416 @p409)) % 0.35/0.65 (step @p418 :rule bool-impl-elim :args (@t133 @t343)) % 0.35/0.65 (step @p419 :rule trans :premises (@p418 @p417)) % 0.35/0.65 (step @p420 :rule 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:args (@t121)) % 0.35/0.65 (step @p434 :rule cong :premises (@p433) :args (@t123)) % 0.35/0.65 (step @p435 :rule trans :premises (@p434 @p430)) % 0.35/0.65 (step @p436 :rule refl :args (@t124)) % 0.35/0.65 (step @p437 :rule nary_cong :premises (@p436 @p435) :args (@t125)) % 0.35/0.65 (step @p438 :rule cong :premises (@p437) :args (@t126)) % 0.35/0.65 (step @p439 :rule cong :premises (@p438) :args (@t128)) % 0.35/0.65 (step @p440 :rule trans :premises (@p439 @p422)) % 0.35/0.65 (step @p441 :rule eq-symm :args (@t118 tptp.empty_set)) % 0.35/0.65 (step @p442 :rule cong :premises (@p441) :args (@t129)) % 0.35/0.65 (step @p443 :rule nary_cong :premises (@p442 @p440) :args (@t130)) % 0.35/0.65 (step @p444 :rule cong :premises (@p443) :args (@t131)) % 0.35/0.65 (step @p445 :rule refl :args (@t133)) % 0.35/0.65 (step @p446 :rule cong :premises (@p445 @p444) :args (@t134)) % 0.35/0.65 (step @p447 :rule cong :premises (@p446) :args (@t136)) % 0.35/0.65 (step @p448 :rule trans :premises (@p447 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0.35/0.65 (step @p464 :rule eq-symm :args (@t26 @t4)) % 0.35/0.65 (step @p465 :rule cong :premises (@p464) :args (@t349)) % 0.35/0.65 (step @p466 :rule nary_cong :premises (@p465 @p463 @p462 @p461) :args (@t351)) % 0.35/0.65 (step @p467 :rule aci_norm :args ((= @t352 @t351))) % 0.35/0.65 (step @p468 :rule trans :premises (@p467 @p466)) % 0.35/0.65 (step @p469 :rule cong :premises (@p468) :args ((forall @t22 @t352))) % 0.35/0.65 (step @p470 :rule trans :premises (@p469 @p460)) % 0.35/0.65 (step @p471 :rule trans :premises (@p470 @p459)) % 0.35/0.65 (step @p472 :rule bool-implies-de-morgan :args (@t162 @t347)) % 0.35/0.65 (step @p473 :rule nary_cong :premises (@p463 @p462 @p472) :args (@t355)) % 0.35/0.65 (step @p474 :rule aci_norm :args ((= (or @t350 (or @t349 @t354)) @t355))) % 0.35/0.65 (step @p475 :rule bool-and-de-morgan :args (@t164 @t353 true)) % 0.35/0.65 (step @p476 :rule nary_cong :premises (@p463 @p475) :args ((or @t350 (not (and @t164 @t353))))) % 0.35/0.65 (step @p477 :rule bool-and-de-morgan :args (@t165 @t164 (and @t353))) % 0.35/0.65 (step @p478 :rule trans :premises (@p477 @p476)) % 0.35/0.65 (step @p479 :rule trans :premises (@p478 @p474)) % 0.35/0.65 (step @p480 :rule trans :premises (@p479 @p473)) % 0.35/0.65 (step @p481 :rule cong :premises (@p480) :args (@t357)) % 0.35/0.65 (step @p482 :rule trans :premises (@p481 @p471)) % 0.35/0.65 (step @p483 :rule cong :premises (@p482) :args (@t358)) % 0.35/0.65 (step @p484 :rule exists-elim :args ((= (exists @t22 @t356) @t358))) % 0.35/0.65 (step @p485 :rule trans :premises (@p484 @p483)) % 0.35/0.65 (step @p486 :rule aci_norm :args ((= (or @t345 (or @t297 @t296)) @t346))) % 0.35/0.65 (step @p487 :rule refl :args (@t296)) % 0.35/0.65 (step @p488 :rule bool-double-not-elim :args (@t297)) % 0.35/0.65 (step @p489 :rule nary_cong :premises (@p488 @p487) :args ((or (not @t359) @t296))) % 0.35/0.65 (step @p490 :rule bool-and-de-morgan :args (@t359 @t295 true)) % 0.35/0.65 (step @p491 :rule trans :premises (@p490 @p489)) % 0.35/0.65 (step @p492 :rule refl :args (@t345)) % 0.35/0.65 (step @p493 :rule nary_cong :premises (@p492 @p491) :args ((or @t345 @t360))) % 0.35/0.65 (step @p494 :rule trans :premises (@p493 @p486)) % 0.35/0.65 (step @p495 :rule bool-impl-elim :args (@t159 @t360)) % 0.35/0.65 (step @p496 :rule trans :premises (@p495 @p494)) % 0.35/0.65 (step @p497 :rule cong :premises (@p496) :args ((forall @t13 (=> @t159 @t360)))) % 0.35/0.65 (step @p498 :rule bool-and-de-morgan :args (@t152 @t294 true)) % 0.35/0.65 (step @p499 :rule cong :premises (@p498) :args ((forall @t8 (not (and @t152 @t294))))) % 0.35/0.65 (step @p500 :rule aci_norm :args ((= (or (or @t292 @t291) @t290) @t293))) % 0.35/0.65 (step @p501 :rule refl :args (@t290)) % 0.35/0.65 (step @p502 :rule bool-and-de-morgan :args (@t147 @t146 true)) % 0.35/0.65 (step @p503 :rule nary_cong :premises (@p502 @p501) :args ((or (not @t148) @t290))) % 0.35/0.65 (step @p504 :rule trans :premises (@p503 @p500)) % 0.35/0.65 (step @p505 :rule bool-impl-elim :args (@t148 @t290)) % 0.35/0.65 (step @p506 :rule trans :premises (@p505 @p504)) % 0.35/0.65 (step @p507 :rule cong :premises (@p506) :args ((forall @t150 (=> @t148 @t290)))) % 0.35/0.65 (step @p508 :rule eq-symm :args (@t145 @t2)) % 0.35/0.65 (step @p509 :rule refl :args (@t148)) % 0.35/0.65 (step @p510 :rule cong :premises (@p509 @p508) :args (@t149)) % 0.35/0.65 (step @p511 :rule cong :premises (@p510) :args (@t151)) % 0.35/0.65 (step @p512 :rule trans :premises (@p511 @p507)) % 0.35/0.65 (step @p513 :rule refl :args (@t152)) % 0.35/0.65 (step @p514 :rule nary_cong :premises (@p513 @p512) :args (@t153)) % 0.35/0.65 (step @p515 :rule cong :premises (@p514) :args (@t154)) % 0.35/0.65 (step @p516 :rule cong :premises (@p515) :args (@t155)) % 0.35/0.65 (step @p517 :rule trans :premises (@p516 @p499)) % 0.35/0.65 (step @p518 :rule eq-symm :args (@t1 tptp.empty_set)) % 0.35/0.65 (step @p519 :rule cong :premises (@p518) :args (@t156)) % 0.35/0.65 (step @p520 :rule nary_cong :premises (@p519 @p517) :args (@t157)) % 0.35/0.65 (step @p521 :rule cong :premises (@p520) :args (@t158)) % 0.35/0.65 (step @p522 :rule refl :args (@t159)) % 0.35/0.65 (step @p523 :rule cong :premises (@p522 @p521) :args (@t160)) % 0.35/0.65 (step @p524 :rule cong :premises (@p523) :args (@t161)) % 0.35/0.65 (step @p525 :rule trans :premises (@p524 @p497)) % 0.35/0.65 (step @p526 :rule refl :args (@t162)) % 0.35/0.65 (step @p527 :rule cong :premises (@p526 @p525) :args (@t163)) % 0.35/0.65 (step @p528 :rule refl :args (@t164)) % 0.35/0.65 (step @p529 :rule refl :args (@t165)) % 0.35/0.65 (step @p530 :rule nary_cong :premises (@p529 @p528 @p527) :args (@t166)) % 0.35/0.65 (step @p531 :rule cong :premises (@p530) :args (@t167)) % 0.35/0.65 (step @p532 :rule trans :premises (@p531 @p485)) % 0.35/0.65 (step @p533 :rule refl :args (@t168)) % 0.35/0.65 (step @p534 :rule nary_cong :premises (@p533 @p532 @p456 @p455) :args (@t169)) % 0.35/0.65 (step @p535 :rule cong :premises (@p534 @p144) :args (@t170)) % 0.35/0.65 (step @p536 :rule cong :premises (@p535) :args (@t172)) % 0.35/0.65 (step @p537 :rule trans :premises (@p536 @p376)) % 0.35/0.65 (step @p538 :rule cong :premises (@p537 @p327) :args (@t173)) % 0.35/0.65 (step @p539 :rule trans :premises (@p538 @p186)) % 0.35/0.65 (step @p540 :rule cong :premises (@p157 @p539) :args (@t174)) % 0.35/0.65 (step @p541 :rule cong :premises (@p540) :args (@t175)) % 0.35/0.65 (step @p542 :rule trans :premises (@p541 @p185)) % 0.35/0.65 (step @p543 :rule eq_resolve :premises (@p43 @p542)) % 0.35/0.65 (step @p544 false :rule chain_m_resolution :premises (@p543 @p183) :args (false @t249 (@list @t239))) % 0.35/0.65 ) % 0.35/0.65 % SZS output end Proof % 0.35/0.65 % cvc5 exiting %------------------------------------------------------------------------------