%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET816+4 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:48:42 AM UTC 2026 % Result : Theorem 45.12s 45.30s % Output : Proof 45.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET816+4 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 16:13:25 EDT 2026 % 0.16/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 45.12/45.30 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 45.12/45.30 --- Run --no-e-matching --full-saturate-quant at 6... % 45.12/45.30 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 45.12/45.30 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 45.12/45.30 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 45.12/45.30 % SZS status Theorem % 45.12/45.30 % SZS output start Proof % 45.12/45.30 ( % 45.12/45.30 (declare-sort $$unsorted 0) % 45.12/45.30 (declare-const tptp.strict_order (-> $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.on $$unsorted) % 45.12/45.30 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.set (-> $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.initial_segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.empty_set $$unsorted) % 45.12/45.30 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.strict_well_order (-> $$unsorted $$unsorted Bool)) % 45.12/45.30 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 45.12/45.30 (declare-const tptp.member_predicate $$unsorted) % 45.12/45.30 (define @t1 () (@var "B" $$unsorted)) % 45.12/45.30 (define @t2 () (@var "X" $$unsorted)) % 45.12/45.30 (define @t3 () (tptp.member @t2 @t1)) % 45.12/45.30 (define @t4 () (@var "A" $$unsorted)) % 45.12/45.30 (define @t5 () (tptp.member @t2 @t4)) % 45.12/45.30 (define @t6 () (@list @t2)) % 45.12/45.30 (define @t7 () (forall @t6 (=> @t5 @t3))) % 45.12/45.30 (define @t8 () (tptp.subset @t4 @t1)) % 45.12/45.30 (define @t9 () (= @t8 @t7)) % 45.12/45.30 (define @t10 () (@list @t4 @t1)) % 45.12/45.30 (define @t11 () (forall @t10 @t9)) % 45.12/45.30 (define @t12 () (tptp.subset @t2 @t4)) % 45.12/45.30 (define @t13 () (@list @t2 @t4)) % 45.12/45.30 (define @t14 () (@list @t2 @t4 @t1)) % 45.12/45.30 (define @t15 () (@var "E" $$unsorted)) % 45.12/45.30 (define @t16 () (= @t2 @t4)) % 45.12/45.30 (define @t17 () (tptp.singleton @t4)) % 45.12/45.30 (define @t18 () (@var "Y" $$unsorted)) % 45.12/45.30 (define @t19 () (tptp.member @t2 @t18)) % 45.12/45.30 (define @t20 () (tptp.member @t18 @t4)) % 45.12/45.30 (define @t21 () (and @t20 @t19)) % 45.12/45.30 (define @t22 () (@list @t18)) % 45.12/45.30 (define @t23 () (exists @t22 @t21)) % 45.12/45.30 (define @t24 () (tptp.sum @t4)) % 45.12/45.30 (define @t25 () (tptp.member @t2 @t24)) % 45.12/45.30 (define @t26 () (= @t25 @t23)) % 45.12/45.30 (define @t27 () (forall @t13 @t26)) % 45.12/45.30 (define @t28 () (forall @t6 (=> @t5 @t12))) % 45.12/45.30 (define @t29 () (tptp.strict_well_order tptp.member_predicate @t4)) % 45.12/45.30 (define @t30 () (tptp.set @t4)) % 45.12/45.30 (define @t31 () (and @t30 @t29 @t28)) % 45.12/45.30 (define @t32 () (tptp.member @t4 tptp.on)) % 45.12/45.30 (define @t33 () (= @t32 @t31)) % 45.12/45.30 (define @t34 () (@list @t4)) % 45.12/45.30 (define @t35 () (forall @t34 @t33)) % 45.12/45.30 (define @t36 () (@var "R" $$unsorted)) % 45.12/45.30 (define @t37 () (tptp.least @t18 @t36 @t4)) % 45.12/45.30 (define @t38 () (exists @t22 @t37)) % 45.12/45.30 (define @t39 () (exists @t6 @t5)) % 45.12/45.30 (define @t40 () (tptp.subset @t4 @t15)) % 45.12/45.30 (define @t41 () (and @t40 @t39)) % 45.12/45.30 (define @t42 () (=> @t41 @t38)) % 45.12/45.30 (define @t43 () (forall @t34 @t42)) % 45.12/45.30 (define @t44 () (tptp.strict_order @t36 @t15)) % 45.12/45.30 (define @t45 () (and @t44 @t43)) % 45.12/45.30 (define @t46 () (tptp.strict_well_order @t36 @t15)) % 45.12/45.30 (define @t47 () (= @t46 @t45)) % 45.12/45.30 (define @t48 () (@list @t36 @t15)) % 45.12/45.30 (define @t49 () (forall @t48 @t47)) % 45.12/45.30 (define @t50 () (@var "M" $$unsorted)) % 45.12/45.30 (define @t51 () (tptp.member @t2 @t15)) % 45.12/45.30 (define @t52 () (tptp.apply tptp.member_predicate @t2 @t18)) % 45.12/45.30 (define @t53 () (@list @t2 @t18)) % 45.12/45.30 (define @t54 () (forall @t53 (= @t52 @t19))) % 45.12/45.30 (define @t55 () (@var "Z" $$unsorted)) % 45.12/45.30 (define @t56 () (tptp.apply @t36 @t2 @t55)) % 45.12/45.30 (define @t57 () (tptp.apply @t36 @t18 @t55)) % 45.12/45.30 (define @t58 () (tptp.apply @t36 @t2 @t18)) % 45.12/45.30 (define @t59 () (and @t58 @t57)) % 45.12/45.30 (define @t60 () (=> @t59 @t56)) % 45.12/45.30 (define @t61 () (tptp.member @t55 @t15)) % 45.12/45.30 (define @t62 () (tptp.member @t18 @t15)) % 45.12/45.30 (define @t63 () (and @t51 @t62 @t61)) % 45.12/45.30 (define @t64 () (@list @t2 @t18 @t55)) % 45.12/45.30 (define @t65 () (forall @t64 (=> @t63 @t60))) % 45.12/45.30 (define @t66 () (tptp.apply @t36 @t18 @t2)) % 45.12/45.30 (define @t67 () (not (and @t58 @t66))) % 45.12/45.30 (define @t68 () (and @t51 @t62)) % 45.12/45.30 (define @t69 () (forall @t53 (=> @t68 @t67))) % 45.12/45.30 (define @t70 () (and @t69 @t65)) % 45.12/45.30 (define @t71 () (= @t44 @t70)) % 45.12/45.30 (define @t72 () (forall @t48 @t71)) % 45.12/45.30 (define @t73 () (tptp.set @t18)) % 45.12/45.30 (define @t74 () (tptp.member @t18 @t2)) % 45.12/45.30 (define @t75 () (forall @t22 (=> @t74 @t73))) % 45.12/45.30 (define @t76 () (tptp.set @t2)) % 45.12/45.30 (define @t77 () (=> @t76 @t75)) % 45.12/45.30 (define @t78 () (forall @t6 @t77)) % 45.12/45.30 (define @t79 () (@var "C" $$unsorted)) % 45.12/45.30 (define @t80 () (tptp.subset @t4 @t79)) % 45.12/45.30 (define @t81 () (tptp.subset @t1 @t79)) % 45.12/45.30 (define @t82 () (and @t8 @t81)) % 45.12/45.30 (define @t83 () (forall (@list @t4 @t1 @t79) (=> @t82 @t80))) % 45.12/45.30 (define @t84 () (tptp.subset @t24 tptp.on)) % 45.12/45.30 (define @t85 () (tptp.subset @t4 tptp.on)) % 45.12/45.30 (define @t86 () (forall @t34 (=> @t85 @t84))) % 45.12/45.30 (define @t87 () (not @t86)) % 45.12/45.30 (define @t88 () (not @t57)) % 45.12/45.30 (define @t89 () (not @t58)) % 45.12/45.30 (define @t90 () (not @t61)) % 45.12/45.30 (define @t91 () (not @t62)) % 45.12/45.30 (define @t92 () (not @t51)) % 45.12/45.30 (define @t93 () (or @t89 @t88 @t56)) % 45.12/45.30 (define @t94 () (or @t92 @t91 @t90)) % 45.12/45.30 (define @t95 () (not @t66)) % 45.12/45.30 (define @t96 () (tptp.member @t2 tptp.on)) % 45.12/45.30 (define @t97 () (@quantifiers_skolemize (forall @t34 (or (not @t85) @t84)) 0)) % 45.12/45.30 (define @t98 () (tptp.sum @t97)) % 45.12/45.30 (define @t99 () (forall @t6 (or (not (tptp.member @t2 @t98)) @t96))) % 45.12/45.30 (define @t100 () (@quantifiers_skolemize @t99 0)) % 45.12/45.30 (define @t101 () (forall @t22 (or (not (tptp.member @t18 @t97)) (not (tptp.member @t100 @t18))))) % 45.12/45.30 (define @t102 () (@quantifiers_skolemize @t101 0)) % 45.12/45.30 (define @t103 () (@list tptp.member_predicate @t102)) % 45.12/45.30 (define @t104 () (not (forall @t22 (not @t37)))) % 45.12/45.30 (define @t105 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 45.12/45.30 (define @t106 () (not (tptp.member @t105 @t4))) % 45.12/45.30 (define @t107 () (not @t40)) % 45.12/45.30 (define @t108 () (or @t107 @t106 @t104)) % 45.12/45.30 (define @t109 () (@list @t4 @t105)) % 45.12/45.30 (define @t110 () (@list @t105)) % 45.12/45.30 (define @t111 () (forall @t110 @t108)) % 45.12/45.30 (define @t112 () (forall @t110 @t106)) % 45.12/45.30 (define @t113 () (or @t107 @t112 @t104)) % 45.12/45.30 (define @t114 () (forall @t6 (not @t5))) % 45.12/45.30 (define @t115 () (or @t107 @t114 @t104)) % 45.12/45.30 (define @t116 () (not @t114)) % 45.12/45.30 (define @t117 () (and @t40 @t116)) % 45.12/45.30 (define @t118 () (@list @t102)) % 45.12/45.30 (define @t119 () (tptp.subset @t97 tptp.on)) % 45.12/45.30 (define @t120 () (tptp.subset @t98 tptp.on)) % 45.12/45.30 (define @t121 () (not @t119)) % 45.12/45.30 (define @t122 () (or @t121 @t120)) % 45.12/45.30 (define @t123 () (@list true)) % 45.12/45.30 (define @t124 () (@list @t122)) % 45.12/45.30 (define @t125 () (forall @t6 (or (not (tptp.member @t2 @t97)) @t96))) % 45.12/45.30 (define @t126 () (= @t119 @t125)) % 45.12/45.30 (define @t127 () (@list false false)) % 45.12/45.30 (define @t128 () (forall @t22 (not @t21))) % 45.12/45.30 (define @t129 () (not @t128)) % 45.12/45.30 (define @t130 () (= @t120 @t99)) % 45.12/45.30 (define @t131 () (not @t99)) % 45.12/45.30 (define @t132 () (@list true false)) % 45.12/45.30 (define @t133 () (tptp.member @t100 @t98)) % 45.12/45.30 (define @t134 () (tptp.member @t100 tptp.on)) % 45.12/45.30 (define @t135 () (not @t133)) % 45.12/45.30 (define @t136 () (or @t135 @t134)) % 45.12/45.30 (define @t137 () (@list @t136)) % 45.12/45.30 (define @t138 () (not @t101)) % 45.12/45.30 (define @t139 () (= @t133 @t138)) % 45.12/45.30 (define @t140 () (tptp.member @t102 @t97)) % 45.12/45.30 (define @t141 () (tptp.member @t100 @t102)) % 45.12/45.30 (define @t142 () (not @t141)) % 45.12/45.30 (define @t143 () (not @t140)) % 45.12/45.30 (define @t144 () (or @t143 @t142)) % 45.12/45.30 (define @t145 () (@list @t144)) % 45.12/45.30 (define @t146 () (tptp.member @t102 tptp.on)) % 45.12/45.30 (define @t147 () (or @t143 @t146)) % 45.12/45.30 (define @t148 () (tptp.member @t2 @t102)) % 45.12/45.30 (define @t149 () (not @t148)) % 45.12/45.30 (define @t150 () (forall @t6 (or @t149 (tptp.subset @t2 @t102)))) % 45.12/45.30 (define @t151 () (tptp.strict_well_order tptp.member_predicate @t102)) % 45.12/45.30 (define @t152 () (tptp.set @t102)) % 45.12/45.30 (define @t153 () (and @t152 @t151 @t150)) % 45.12/45.30 (define @t154 () (= @t146 @t153)) % 45.12/45.30 (define @t155 () (not @t153)) % 45.12/45.30 (define @t156 () (@list false)) % 45.12/45.30 (define @t157 () (@list @t153)) % 45.12/45.30 (define @t158 () (not (forall @t22 (not (tptp.least @t18 tptp.member_predicate @t4))))) % 45.12/45.30 (define @t159 () (forall @t109 (or (not (tptp.subset @t4 @t102)) @t106 @t158))) % 45.12/45.30 (define @t160 () (tptp.strict_order tptp.member_predicate @t102)) % 45.12/45.30 (define @t161 () (and @t160 @t159)) % 45.12/45.30 (define @t162 () (= @t151 @t161)) % 45.12/45.30 (define @t163 () (not @t161)) % 45.12/45.30 (define @t164 () (@list @t161)) % 45.12/45.30 (define @t165 () (tptp.apply tptp.member_predicate @t2 @t55)) % 45.12/45.30 (define @t166 () (not (tptp.apply tptp.member_predicate @t18 @t55))) % 45.12/45.30 (define @t167 () (not @t52)) % 45.12/45.30 (define @t168 () (not (tptp.member @t18 @t102))) % 45.12/45.30 (define @t169 () (forall @t64 (or @t149 @t168 (not (tptp.member @t55 @t102)) @t167 @t166 @t165))) % 45.12/45.30 (define @t170 () (not (tptp.apply tptp.member_predicate @t18 @t2))) % 45.12/45.30 (define @t171 () (forall @t53 (or @t149 @t168 @t167 @t170))) % 45.12/45.30 (define @t172 () (and @t171 @t169)) % 45.12/45.30 (define @t173 () (= @t160 @t172)) % 45.12/45.30 (define @t174 () (not @t172)) % 45.12/45.30 (define @t175 () (@list @t172)) % 45.12/45.30 (define @t176 () (tptp.member @t2 @t100)) % 45.12/45.30 (define @t177 () (not @t176)) % 45.12/45.30 (define @t178 () (forall @t6 (or @t177 (tptp.subset @t2 @t100)))) % 45.12/45.30 (define @t179 () (@quantifiers_skolemize @t178 0)) % 45.12/45.30 (define @t180 () (@list @t179)) % 45.12/45.30 (define @t181 () (@list @t100)) % 45.12/45.30 (define @t182 () (tptp.subset @t100 @t102)) % 45.12/45.30 (define @t183 () (or @t142 @t182)) % 45.12/45.30 (define @t184 () (forall @t6 (or @t177 @t148))) % 45.12/45.30 (define @t185 () (= @t182 @t184)) % 45.12/45.30 (define @t186 () (not @t182)) % 45.12/45.30 (define @t187 () (@list tptp.member_predicate @t100)) % 45.12/45.30 (define @t188 () (forall @t109 (or (not (tptp.subset @t4 @t100)) @t106 @t158))) % 45.12/45.30 (define @t189 () (@quantifiers_skolemize @t188 0)) % 45.12/45.30 (define @t190 () (tptp.subset @t189 @t100)) % 45.12/45.30 (define @t191 () (forall @t22 (not (tptp.least @t18 tptp.member_predicate @t189)))) % 45.12/45.30 (define @t192 () (not @t191)) % 45.12/45.30 (define @t193 () (@quantifiers_skolemize @t188 1)) % 45.12/45.30 (define @t194 () (tptp.member @t193 @t189)) % 45.12/45.30 (define @t195 () (not @t194)) % 45.12/45.30 (define @t196 () (not @t190)) % 45.12/45.30 (define @t197 () (or @t196 @t195 @t192)) % 45.12/45.30 (define @t198 () (not @t81)) % 45.12/45.30 (define @t199 () (not @t8)) % 45.12/45.30 (define @t200 () (tptp.subset @t189 @t102)) % 45.12/45.30 (define @t201 () (or @t196 @t186 @t200)) % 45.12/45.30 (define @t202 () (not @t200)) % 45.12/45.30 (define @t203 () (or @t202 @t195 @t192)) % 45.12/45.30 (define @t204 () (not @t197)) % 45.12/45.30 (define @t205 () (not @t188)) % 45.12/45.30 (define @t206 () (not (tptp.member @t18 @t100))) % 45.12/45.30 (define @t207 () (forall @t64 (or @t177 @t206 (not (tptp.member @t55 @t100)) @t167 @t166 @t165))) % 45.12/45.30 (define @t208 () (@quantifiers_skolemize @t207 0)) % 45.12/45.30 (define @t209 () (tptp.member @t208 @t100)) % 45.12/45.30 (define @t210 () (@quantifiers_skolemize @t207 2)) % 45.12/45.30 (define @t211 () (tptp.apply tptp.member_predicate @t208 @t210)) % 45.12/45.30 (define @t212 () (@quantifiers_skolemize @t207 1)) % 45.12/45.30 (define @t213 () (tptp.apply tptp.member_predicate @t212 @t210)) % 45.12/45.30 (define @t214 () (not @t213)) % 45.12/45.30 (define @t215 () (tptp.apply tptp.member_predicate @t208 @t212)) % 45.12/45.30 (define @t216 () (not @t215)) % 45.12/45.30 (define @t217 () (tptp.member @t210 @t100)) % 45.12/45.30 (define @t218 () (not @t217)) % 45.12/45.30 (define @t219 () (tptp.member @t212 @t100)) % 45.12/45.30 (define @t220 () (not @t219)) % 45.12/45.30 (define @t221 () (not @t209)) % 45.12/45.30 (define @t222 () (or @t221 @t220 @t218 @t216 @t214 @t211)) % 45.12/45.30 (define @t223 () (tptp.member @t208 @t102)) % 45.12/45.30 (define @t224 () (or @t221 @t223)) % 45.12/45.30 (define @t225 () (tptp.member @t212 @t102)) % 45.12/45.30 (define @t226 () (or @t220 @t225)) % 45.12/45.30 (define @t227 () (tptp.member @t210 @t102)) % 45.12/45.30 (define @t228 () (or @t218 @t227)) % 45.12/45.30 (define @t229 () (not @t227)) % 45.12/45.30 (define @t230 () (not @t225)) % 45.12/45.30 (define @t231 () (not @t223)) % 45.12/45.30 (define @t232 () (or @t231 @t230 @t229 @t216 @t214 @t211)) % 45.12/45.30 (define @t233 () (not @t222)) % 45.12/45.30 (define @t234 () (not @t207)) % 45.12/45.30 (define @t235 () (forall @t53 (or @t177 @t206 @t167 @t170))) % 45.12/45.30 (define @t236 () (@quantifiers_skolemize @t235 0)) % 45.12/45.30 (define @t237 () (tptp.member @t236 @t100)) % 45.12/45.30 (define @t238 () (@quantifiers_skolemize @t235 1)) % 45.12/45.30 (define @t239 () (tptp.apply tptp.member_predicate @t238 @t236)) % 45.12/45.30 (define @t240 () (not @t239)) % 45.12/45.30 (define @t241 () (tptp.apply tptp.member_predicate @t236 @t238)) % 45.12/45.30 (define @t242 () (not @t241)) % 45.12/45.30 (define @t243 () (tptp.member @t238 @t100)) % 45.12/45.30 (define @t244 () (not @t243)) % 45.12/45.30 (define @t245 () (not @t237)) % 45.12/45.30 (define @t246 () (or @t245 @t244 @t242 @t240)) % 45.12/45.30 (define @t247 () (tptp.member @t236 @t102)) % 45.12/45.30 (define @t248 () (or @t245 @t247)) % 45.12/45.30 (define @t249 () (tptp.member @t238 @t102)) % 45.12/45.30 (define @t250 () (or @t244 @t249)) % 45.12/45.30 (define @t251 () (not @t249)) % 45.12/45.30 (define @t252 () (not @t247)) % 45.12/45.30 (define @t253 () (or @t252 @t251 @t242 @t240)) % 45.12/45.30 (define @t254 () (not @t246)) % 45.12/45.30 (define @t255 () (not @t235)) % 45.12/45.30 (define @t256 () (and @t235 @t207)) % 45.12/45.30 (define @t257 () (tptp.strict_order tptp.member_predicate @t100)) % 45.12/45.30 (define @t258 () (= @t257 @t256)) % 45.12/45.30 (define @t259 () (and @t257 @t188)) % 45.12/45.30 (define @t260 () (tptp.strict_well_order tptp.member_predicate @t100)) % 45.12/45.30 (define @t261 () (= @t260 @t259)) % 45.12/45.30 (define @t262 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 45.12/45.30 (define @t263 () (tptp.set @t262)) % 45.12/45.30 (define @t264 () (not (tptp.member @t262 @t2))) % 45.12/45.30 (define @t265 () (not @t76)) % 45.12/45.30 (define @t266 () (or @t264 @t263)) % 45.12/45.30 (define @t267 () (or @t265 @t266)) % 45.12/45.30 (define @t268 () (forall (@list @t2 @t262) @t267)) % 45.12/45.30 (define @t269 () (@list @t262)) % 45.12/45.30 (define @t270 () (forall @t269 @t267)) % 45.12/45.30 (define @t271 () (forall @t269 @t266)) % 45.12/45.30 (define @t272 () (or @t265 @t271)) % 45.12/45.30 (define @t273 () (forall @t22 (or (not @t74) @t73))) % 45.12/45.30 (define @t274 () (tptp.set @t100)) % 45.12/45.30 (define @t275 () (not @t152)) % 45.12/45.30 (define @t276 () (or @t275 @t142 @t274)) % 45.12/45.30 (define @t277 () (and @t274 @t260 @t178)) % 45.12/45.30 (define @t278 () (= @t134 @t277)) % 45.12/45.30 (define @t279 () (not @t277)) % 45.12/45.30 (define @t280 () (not @t178)) % 45.12/45.30 (define @t281 () (tptp.subset @t179 @t100)) % 45.12/45.30 (define @t282 () (tptp.member @t179 @t100)) % 45.12/45.30 (define @t283 () (not @t282)) % 45.12/45.30 (define @t284 () (or @t283 @t281)) % 45.12/45.30 (define @t285 () (not @t284)) % 45.12/45.30 (define @t286 () (@list @t284)) % 45.12/45.30 (define @t287 () (tptp.member @t179 @t102)) % 45.12/45.30 (define @t288 () (or @t283 @t287)) % 45.12/45.30 (define @t289 () (tptp.subset @t179 @t102)) % 45.12/45.30 (define @t290 () (not @t287)) % 45.12/45.30 (define @t291 () (or @t290 @t289)) % 45.12/45.30 (define @t292 () (not (tptp.member @t2 @t179))) % 45.12/45.30 (define @t293 () (forall @t6 (or @t292 @t148))) % 45.12/45.30 (define @t294 () (= @t289 @t293)) % 45.12/45.30 (define @t295 () (forall @t6 (or @t292 @t176))) % 45.12/45.30 (define @t296 () (@quantifiers_skolemize @t295 0)) % 45.12/45.30 (define @t297 () (tptp.member @t296 @t102)) % 45.12/45.30 (define @t298 () (tptp.member @t296 @t179)) % 45.12/45.30 (define @t299 () (not @t298)) % 45.12/45.30 (define @t300 () (or @t299 @t297)) % 45.12/45.30 (define @t301 () (@list @t179 @t100)) % 45.12/45.30 (define @t302 () (= @t281 @t295)) % 45.12/45.30 (define @t303 () (not @t295)) % 45.12/45.30 (define @t304 () (tptp.member @t296 @t100)) % 45.12/45.30 (define @t305 () (or @t299 @t304)) % 45.12/45.30 (define @t306 () (not @t305)) % 45.12/45.30 (define @t307 () (@list @t305)) % 45.12/45.30 (define @t308 () (tptp.apply tptp.member_predicate @t296 @t179)) % 45.12/45.30 (define @t309 () (= @t298 @t308)) % 45.12/45.30 (define @t310 () (tptp.apply tptp.member_predicate @t296 @t100)) % 45.12/45.30 (define @t311 () (= @t304 @t310)) % 45.12/45.30 (define @t312 () (not @t310)) % 45.12/45.30 (define @t313 () (tptp.apply tptp.member_predicate @t179 @t100)) % 45.12/45.30 (define @t314 () (= @t282 @t313)) % 45.12/45.30 (define @t315 () (not @t313)) % 45.12/45.30 (define @t316 () (not @t308)) % 45.12/45.30 (define @t317 () (not @t297)) % 45.12/45.30 (define @t318 () (or @t317 @t290 @t142 @t316 @t315 @t310)) % 45.12/45.30 (define @t319 () (not @t318)) % 45.12/45.30 (assume @p1 @t11) % 45.12/45.30 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 45.12/45.30 (assume @p3 (forall @t13 (= (tptp.member @t2 (tptp.power_set @t4)) @t12))) % 45.12/45.30 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 45.12/45.30 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 45.12/45.30 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 45.12/45.30 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 45.12/45.30 (assume @p8 (forall @t13 (= (tptp.member @t2 @t17) @t16))) % 45.12/45.30 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 45.12/45.30 (assume @p10 @t27) % 45.12/45.30 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t20 @t19))))) % 45.12/45.30 (assume @p12 @t35) % 45.12/45.30 (assume @p13 @t49) % 45.12/45.30 (assume @p14 (forall (@list @t36 @t15 @t50) (= (tptp.least @t50 @t36 @t15) (and (tptp.member @t50 @t15) (forall @t6 (=> @t51 (or (= @t50 @t2) (tptp.apply @t36 @t50 @t2)))))))) % 45.12/45.30 (assume @p15 @t54) % 45.12/45.30 (assume @p16 @t72) % 45.12/45.30 (assume @p17 @t78) % 45.12/45.30 (assume @p18 (forall (@list @t2 @t36 @t4 @t18) (= (tptp.member @t18 (tptp.initial_segment @t2 @t36 @t4)) (and @t20 @t66)))) % 45.12/45.30 (assume @p19 (forall (@list @t4 @t2) (= (tptp.member @t2 (tptp.suc @t4)) (tptp.member @t2 (tptp.union @t4 @t17))))) % 45.12/45.30 (assume @p20 @t83) % 45.12/45.30 (assume @p21 @t87) % 45.12/45.30 (assume @p22 true) % 45.12/45.30 (step @p23 :rule aci_norm :args ((= (or @t94 @t93) (or @t92 @t91 @t90 @t89 @t88 @t56)))) % 45.12/45.30 (step @p24 :rule aci_norm :args ((= (or (or @t89 @t88) @t56) @t93))) % 45.12/45.30 (step @p25 :rule refl :args (@t56)) % 45.12/45.30 (step @p26 :rule bool-and-de-morgan :args (@t58 @t57 true)) % 45.12/45.30 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t59) @t56))) % 45.12/45.30 (step @p28 :rule trans :premises (@p27 @p24)) % 45.12/45.30 (step @p29 :rule bool-impl-elim :args (@t59 @t56)) % 45.12/45.30 (step @p30 :rule trans :premises (@p29 @p28)) % 45.12/45.30 (step @p31 :rule aci_norm :args ((= (or @t92 (or @t91 @t90)) @t94))) % 45.12/45.30 (step @p32 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 45.12/45.30 (step @p33 :rule refl :args (@t92)) % 45.12/45.30 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t92 (not (and @t62 @t61))))) % 45.12/45.30 (step @p35 :rule bool-and-de-morgan :args (@t51 @t62 (and @t61))) % 45.12/45.30 (step @p36 :rule trans :premises (@p35 @p34)) % 45.12/45.30 (step @p37 :rule trans :premises (@p36 @p31)) % 45.12/45.30 (step @p38 :rule nary_cong :premises (@p37 @p30) :args ((or (not @t63) @t60))) % 45.12/45.30 (step @p39 :rule trans :premises (@p38 @p23)) % 45.12/45.30 (step @p40 :rule bool-impl-elim :args (@t63 @t60)) % 45.12/45.30 (step @p41 :rule trans :premises (@p40 @p39)) % 45.12/45.30 (step @p42 :rule cong :premises (@p41) :args (@t65)) % 45.12/45.30 (step @p43 :rule aci_norm :args ((= (or (or @t92 @t91) (or @t89 @t95)) (or @t92 @t91 @t89 @t95)))) % 45.12/45.30 (step @p44 :rule bool-and-de-morgan :args (@t58 @t66 true)) % 45.12/45.30 (step @p45 :rule bool-and-de-morgan :args (@t51 @t62 true)) % 45.12/45.30 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t68) @t67))) % 45.12/45.30 (step @p47 :rule trans :premises (@p46 @p43)) % 45.12/45.30 (step @p48 :rule bool-impl-elim :args (@t68 @t67)) % 45.12/45.30 (step @p49 :rule trans :premises (@p48 @p47)) % 45.12/45.30 (step @p50 :rule cong :premises (@p49) :args (@t69)) % 45.12/45.30 (step @p51 :rule nary_cong :premises (@p50 @p42) :args (@t70)) % 45.12/45.30 (step @p52 :rule refl :args (@t44)) % 45.12/45.30 (step @p53 :rule cong :premises (@p52 @p51) :args (@t71)) % 45.12/45.30 (step @p54 :rule cong :premises (@p53) :args (@t72)) % 45.12/45.30 (step @p55 :rule eq_resolve :premises (@p16 @p54)) % 45.12/45.30 (step @p56 :rule instantiate :premises (@p55) :args (@t103)) % 45.12/45.30 (step @p57 :rule quant-merge-prenex :args ((= (forall @t34 @t111) (forall @t109 @t108)))) % 45.12/45.30 (step @p58 :rule refl :args (@t104)) % 45.12/45.30 (step @p59 :rule alpha_equiv :args (@t112 (@list @t105) (@list @t2))) % 45.12/45.30 (step @p60 :rule refl :args (@t107)) % 45.12/45.30 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t113)) % 45.12/45.30 (step @p62 :rule quant-miniscope-or :args ((= @t111 @t113))) % 45.12/45.30 (step @p63 :rule trans :premises (@p62 @p61)) % 45.12/45.30 (step @p64 :rule symm :premises (@p63)) % 45.12/45.30 (step @p65 :rule cong :premises (@p64) :args ((forall @t34 @t115))) % 45.12/45.30 (step @p66 :rule trans :premises (@p65 @p57)) % 45.12/45.30 (step @p67 :rule aci_norm :args ((= (or (or @t107 @t114) @t104) @t115))) % 45.12/45.30 (step @p68 :rule bool-double-not-elim :args (@t114)) % 45.12/45.30 (step @p69 :rule nary_cong :premises (@p60 @p68) :args ((or @t107 (not @t116)))) % 45.12/45.30 (step @p70 :rule bool-and-de-morgan :args (@t40 @t116 true)) % 45.12/45.30 (step @p71 :rule trans :premises (@p70 @p69)) % 45.12/45.30 (step @p72 :rule nary_cong :premises (@p71 @p58) :args ((or (not @t117) @t104))) % 45.12/45.30 (step @p73 :rule trans :premises (@p72 @p67)) % 45.12/45.30 (step @p74 :rule bool-impl-elim :args (@t117 @t104)) % 45.12/45.30 (step @p75 :rule trans :premises (@p74 @p73)) % 45.12/45.30 (step @p76 :rule cong :premises (@p75) :args ((forall @t34 (=> @t117 @t104)))) % 45.12/45.30 (step @p77 :rule trans :premises (@p76 @p66)) % 45.12/45.30 (step @p78 :rule exists-elim :args ((= @t38 @t104))) % 45.12/45.30 (step @p79 :rule exists-elim :args ((= @t39 @t116))) % 45.12/45.30 (step @p80 :rule refl :args (@t40)) % 45.12/45.30 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t41)) % 45.12/45.30 (step @p82 :rule cong :premises (@p81 @p78) :args (@t42)) % 45.12/45.30 (step @p83 :rule cong :premises (@p82) :args (@t43)) % 45.12/45.30 (step @p84 :rule trans :premises (@p83 @p77)) % 45.12/45.30 (step @p85 :rule nary_cong :premises (@p52 @p84) :args (@t45)) % 45.12/45.30 (step @p86 :rule refl :args (@t46)) % 45.12/45.30 (step @p87 :rule cong :premises (@p86 @p85) :args (@t47)) % 45.12/45.30 (step @p88 :rule cong :premises (@p87) :args (@t49)) % 45.12/45.30 (step @p89 :rule eq_resolve :premises (@p13 @p88)) % 45.12/45.30 (step @p90 :rule instantiate :premises (@p89) :args (@t103)) % 45.12/45.30 (step @p91 :rule bool-impl-elim :args (@t5 @t12)) % 45.12/45.30 (step @p92 :rule cong :premises (@p91) :args (@t28)) % 45.12/45.30 (step @p93 :rule refl :args (@t29)) % 45.12/45.30 (step @p94 :rule refl :args (@t30)) % 45.12/45.30 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t31)) % 45.12/45.30 (step @p96 :rule refl :args (@t32)) % 45.12/45.30 (step @p97 :rule cong :premises (@p96 @p95) :args (@t33)) % 45.12/45.30 (step @p98 :rule cong :premises (@p97) :args (@t35)) % 45.12/45.30 (step @p99 :rule eq_resolve :premises (@p12 @p98)) % 45.12/45.30 (step @p100 :rule instantiate :premises (@p99) :args (@t118)) % 45.12/45.30 (step @p101 :rule bool-impl-elim :args (@t5 @t3)) % 45.12/45.30 (step @p102 :rule cong :premises (@p101) :args (@t7)) % 45.12/45.30 (step @p103 :rule refl :args (@t8)) % 45.12/45.30 (step @p104 :rule cong :premises (@p103 @p102) :args (@t9)) % 45.12/45.30 (step @p105 :rule cong :premises (@p104) :args (@t11)) % 45.12/45.30 (step @p106 :rule eq_resolve :premises (@p1 @p105)) % 45.12/45.30 (step @p107 :rule instantiate :premises (@p106) :args ((@list @t97 tptp.on))) % 45.12/45.30 (step @p108 :rule bool-impl-elim :args (@t85 @t84)) % 45.12/45.30 (step @p109 :rule cong :premises (@p108) :args (@t86)) % 45.12/45.30 (step @p110 :rule cong :premises (@p109) :args (@t87)) % 45.12/45.30 (step @p111 :rule eq_resolve :premises (@p21 @p110)) % 45.12/45.30 (step @p112 :rule skolemize :premises (@p111)) % 45.12/45.30 (step @p113 :rule bool-double-not-elim :args (@t119)) % 45.12/45.30 (step @p114 :rule refl :args (@t122)) % 45.12/45.30 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t122 (not @t121)))) % 45.12/45.30 (step @p116 :rule cnf_or_neg :args (@t122 0)) % 45.12/45.30 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 45.12/45.30 (step @p118 :rule reordering :premises (@p117) :args ((or @t119 @t122))) % 45.12/45.30 (step @p119 :rule chain_m_resolution :premises (@p118 @p112) :args (@t119 @t123 @t124)) % 45.12/45.30 (step @p120 :rule cnf_equiv_pos1 :args (@t126)) % 45.12/45.30 (step @p121 :rule reordering :premises (@p120) :args ((or @t121 @t125 (not @t126)))) % 45.12/45.30 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p107) :args (@t125 @t127 (@list @t119 @t126))) % 45.12/45.30 (step @p123 :rule instantiate :premises (@p122) :args (@t118)) % 45.12/45.30 (step @p124 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 45.12/45.30 (step @p125 :rule cong :premises (@p124) :args (@t128)) % 45.12/45.30 (step @p126 :rule cong :premises (@p125) :args (@t129)) % 45.12/45.30 (step @p127 :rule exists-elim :args ((= @t23 @t129))) % 45.12/45.30 (step @p128 :rule trans :premises (@p127 @p126)) % 45.12/45.30 (step @p129 :rule refl :args (@t25)) % 45.12/45.30 (step @p130 :rule cong :premises (@p129 @p128) :args (@t26)) % 45.12/45.30 (step @p131 :rule cong :premises (@p130) :args (@t27)) % 45.12/45.30 (step @p132 :rule eq_resolve :premises (@p10 @p131)) % 45.12/45.30 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t100 @t97))) % 45.12/45.30 (step @p134 :rule instantiate :premises (@p106) :args ((@list @t98 tptp.on))) % 45.12/45.30 (step @p135 :rule cnf_or_neg :args (@t122 1)) % 45.12/45.30 (step @p136 :rule chain_m_resolution :premises (@p135 @p112) :args ((not @t120) @t123 @t124)) % 45.12/45.30 (step @p137 :rule cnf_equiv_pos2 :args (@t130)) % 45.12/45.30 (step @p138 :rule reordering :premises (@p137) :args ((or @t120 @t131 (not @t130)))) % 45.12/45.30 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p134) :args (@t131 @t132 (@list @t120 @t130))) % 45.12/45.30 (step @p140 :rule skolemize :premises (@p139)) % 45.12/45.30 (step @p141 :rule bool-double-not-elim :args (@t133)) % 45.12/45.30 (step @p142 :rule refl :args (@t136)) % 45.12/45.30 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t136 (not @t135)))) % 45.12/45.30 (step @p144 :rule cnf_or_neg :args (@t136 0)) % 45.12/45.30 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 45.12/45.30 (step @p146 :rule reordering :premises (@p145) :args ((or @t133 @t136))) % 45.12/45.30 (step @p147 :rule chain_m_resolution :premises (@p146 @p140) :args (@t133 @t123 @t137)) % 45.12/45.30 (step @p148 :rule cnf_equiv_pos1 :args (@t139)) % 45.12/45.30 (step @p149 :rule reordering :premises (@p148) :args ((or @t135 @t138 (not @t139)))) % 45.12/45.30 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p133) :args (@t138 @t127 (@list @t133 @t139))) % 45.12/45.30 (step @p151 :rule skolemize :premises (@p150)) % 45.12/45.30 (step @p152 :rule bool-double-not-elim :args (@t140)) % 45.12/45.30 (step @p153 :rule refl :args (@t144)) % 45.12/45.30 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t144 (not @t143)))) % 45.12/45.30 (step @p155 :rule cnf_or_neg :args (@t144 0)) % 45.12/45.30 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 45.12/45.30 (step @p157 :rule reordering :premises (@p156) :args ((or @t140 @t144))) % 45.12/45.30 (step @p158 :rule chain_m_resolution :premises (@p157 @p151) :args (@t140 @t123 @t145)) % 45.12/45.30 (step @p159 :rule cnf_or_pos :args (@t147)) % 45.12/45.30 (step @p160 :rule reordering :premises (@p159) :args ((or @t143 @t146 (not @t147)))) % 45.12/45.30 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p123) :args (@t146 @t127 (@list @t140 @t147))) % 45.12/45.30 (step @p162 :rule cnf_equiv_pos1 :args (@t154)) % 45.12/45.30 (step @p163 :rule reordering :premises (@p162) :args ((or (not @t146) @t153 (not @t154)))) % 45.12/45.30 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p100) :args (@t153 @t127 (@list @t146 @t154))) % 45.12/45.30 (step @p165 :rule cnf_and_pos :args (@t153 1)) % 45.12/45.30 (step @p166 :rule reordering :premises (@p165) :args ((or @t151 @t155))) % 45.12/45.30 (step @p167 :rule chain_m_resolution :premises (@p166 @p164) :args (@t151 @t156 @t157)) % 45.12/45.30 (step @p168 :rule cnf_equiv_pos1 :args (@t162)) % 45.12/45.30 (step @p169 :rule reordering :premises (@p168) :args ((or (not @t151) @t161 (not @t162)))) % 45.12/45.30 (step @p170 :rule chain_m_resolution :premises (@p169 @p167 @p90) :args (@t161 @t127 (@list @t151 @t162))) % 45.12/45.30 (step @p171 :rule 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(step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p186) :args (@t182 @t127 (@list @t141 @t183))) % 45.12/45.30 (step @p196 :rule cnf_equiv_pos1 :args (@t185)) % 45.12/45.30 (step @p197 :rule reordering :premises (@p196) :args ((or @t186 @t184 (not @t185)))) % 45.12/45.30 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p185) :args (@t184 @t127 (@list @t182 @t185))) % 45.12/45.30 (step @p199 :rule instantiate :premises (@p198) :args (@t180)) % 45.12/45.30 (step @p200 :rule instantiate :premises (@p89) :args (@t187)) % 45.12/45.30 (step @p201 :rule bool-double-not-elim :args (@t190)) % 45.12/45.30 (step @p202 :rule refl :args (@t197)) % 45.12/45.30 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t197 (not @t196)))) % 45.12/45.30 (step @p204 :rule cnf_or_neg :args (@t197 0)) % 45.12/45.30 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 45.12/45.30 (step @p206 :rule reordering :premises (@p205) :args ((or @t190 @t197))) % 45.12/45.30 (step 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45.12/45.30 (step @p233 :rule cnf_or_pos :args (@t203)) % 45.12/45.30 (step @p234 :rule reordering :premises (@p233) :args ((or @t195 @t192 @t202 (not @t203)))) % 45.12/45.30 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p228 @p226 @p195 @p216 @p211 @p206) :args (@t197 (@list false false false false false false false) (@list @t203 @t200 @t201 @t182 @t191 @t194 @t190))) % 45.12/45.30 (step @p236 :rule refl :args (@t204)) % 45.12/45.30 (step @p237 :rule bool-double-not-elim :args (@t188)) % 45.12/45.30 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t205) @t204))) % 45.12/45.30 (assume-push @p472 @t205) % 45.12/45.30 (step @p240 :rule skolemize :premises (@p472)) % 45.12/45.30 (step-pop @p473 :rule scope :premises (@p240)) % 45.12/45.30 (step @p241 :rule process_scope :premises (@p473) :args (@t204)) % 45.12/45.30 (step @p243 :rule implies_elim :premises (@p241)) % 45.12/45.30 (step @p244 :rule eq_resolve :premises (@p243 @p238)) % 45.12/45.30 (step 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@p258 :rule bool-double-not-elim :args (@t217)) % 45.12/45.30 (step @p259 :rule nary_cong :premises (@p248 @p258) :args ((or @t222 (not @t218)))) % 45.12/45.30 (step @p260 :rule cnf_or_neg :args (@t222 2)) % 45.12/45.30 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 45.12/45.30 (step @p262 :rule reordering :premises (@p261) :args ((or @t217 @t222))) % 45.12/45.30 (step @p263 :rule bool-double-not-elim :args (@t215)) % 45.12/45.30 (step @p264 :rule nary_cong :premises (@p248 @p263) :args ((or @t222 (not @t216)))) % 45.12/45.30 (step @p265 :rule cnf_or_neg :args (@t222 3)) % 45.12/45.30 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 45.12/45.30 (step @p267 :rule reordering :premises (@p266) :args ((or @t215 @t222))) % 45.12/45.30 (step @p268 :rule bool-double-not-elim :args (@t213)) % 45.12/45.30 (step @p269 :rule nary_cong :premises (@p248 @p268) :args ((or @t222 (not @t214)))) % 45.12/45.30 (step @p270 :rule cnf_or_neg :args (@t222 4)) % 45.12/45.30 (step @p271 :rule 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(step @p294 :rule implies_elim :premises (@p292)) % 45.12/45.30 (step @p295 :rule eq_resolve :premises (@p294 @p289)) % 45.12/45.30 (step @p296 :rule chain_m_resolution :premises (@p295 @p286) :args (@t207 @t156 (@list @t222))) % 45.12/45.30 (step @p297 :rule bool-double-not-elim :args (@t237)) % 45.12/45.30 (step @p298 :rule refl :args (@t246)) % 45.12/45.30 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t246 (not @t245)))) % 45.12/45.30 (step @p300 :rule cnf_or_neg :args (@t246 0)) % 45.12/45.30 (step @p301 :rule eq_resolve :premises (@p300 @p299)) % 45.12/45.30 (step @p302 :rule reordering :premises (@p301) :args ((or @t237 @t246))) % 45.12/45.30 (step @p303 :rule bool-double-not-elim :args (@t243)) % 45.12/45.30 (step @p304 :rule nary_cong :premises (@p298 @p303) :args ((or @t246 (not @t244)))) % 45.12/45.30 (step @p305 :rule cnf_or_neg :args (@t246 1)) % 45.12/45.30 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 45.12/45.30 (step @p307 :rule reordering :premises (@p306) :args ((or @t243 @t246))) % 45.12/45.30 (step @p308 :rule bool-double-not-elim :args (@t241)) % 45.12/45.30 (step @p309 :rule nary_cong :premises (@p298 @p308) :args ((or @t246 (not @t242)))) % 45.12/45.30 (step @p310 :rule cnf_or_neg :args (@t246 2)) % 45.12/45.30 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 45.12/45.30 (step @p312 :rule reordering :premises (@p311) :args ((or @t241 @t246))) % 45.12/45.30 (step @p313 :rule bool-double-not-elim :args (@t239)) % 45.12/45.30 (step @p314 :rule nary_cong :premises (@p298 @p313) :args ((or @t246 (not @t240)))) % 45.12/45.30 (step @p315 :rule cnf_or_neg :args (@t246 3)) % 45.12/45.30 (step @p316 :rule eq_resolve :premises (@p315 @p314)) % 45.12/45.30 (step @p317 :rule reordering :premises (@p316) :args ((or @t239 @t246))) % 45.12/45.30 (step @p318 :rule instantiate :premises (@p198) :args ((@list @t236))) % 45.12/45.30 (step @p319 :rule cnf_or_pos :args (@t248)) % 45.12/45.30 (step @p320 :rule reordering :premises (@p319) :args ((or @t245 @t247 (not @t248)))) % 45.12/45.30 (step @p321 :rule instantiate :premises (@p198) :args ((@list @t238))) % 45.12/45.30 (step @p322 :rule cnf_or_pos :args (@t250)) % 45.12/45.30 (step @p323 :rule reordering :premises (@p322) :args ((or @t244 @t249 (not @t250)))) % 45.12/45.30 (step @p324 :rule cnf_and_pos :args (@t172 0)) % 45.12/45.30 (step @p325 :rule reordering :premises (@p324) :args ((or @t171 @t174))) % 45.12/45.30 (step @p326 :rule chain_m_resolution :premises (@p325 @p176) :args (@t171 @t156 @t175)) % 45.12/45.30 (step @p327 :rule instantiate :premises (@p326) :args ((@list @t236 @t238))) % 45.12/45.30 (step @p328 :rule cnf_or_pos :args (@t253)) % 45.12/45.30 (step @p329 :rule reordering :premises (@p328) :args ((or @t242 @t240 @t252 @t251 (not @t253)))) % 45.12/45.30 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p323 @p321 @p320 @p318 @p317 @p312 @p307 @p302) :args (@t246 (@list false false false false false false false false false) (@list @t253 @t249 @t250 @t247 @t248 @t239 @t241 @t243 @t237))) % 45.12/45.30 (step @p331 :rule refl :args (@t254)) % 45.12/45.30 (step @p332 :rule bool-double-not-elim :args (@t235)) % 45.12/45.30 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or (not @t255) @t254))) % 45.12/45.30 (assume-push @p476 @t255) % 45.12/45.30 (step @p335 :rule skolemize :premises (@p476)) % 45.12/45.30 (step-pop @p477 :rule scope :premises (@p335)) % 45.12/45.30 (step @p336 :rule process_scope :premises (@p477) :args (@t254)) % 45.12/45.30 (step @p338 :rule implies_elim :premises (@p336)) % 45.12/45.30 (step @p339 :rule eq_resolve :premises (@p338 @p333)) % 45.12/45.30 (step @p340 :rule chain_m_resolution :premises (@p339 @p330) :args (@t235 @t156 (@list @t246))) % 45.12/45.30 (step @p341 :rule cnf_and_neg :args (@t256)) % 45.12/45.30 (step @p342 :rule chain_m_resolution :premises (@p341 @p340 @p296) :args (@t256 @t127 (@list @t235 @t207))) % 45.12/45.30 (step @p343 :rule cnf_equiv_pos2 :args (@t258)) % 45.12/45.30 (step @p344 :rule reordering :premises (@p343) :args ((or @t257 (not @t256) (not @t258)))) % 45.12/45.30 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p246) :args (@t257 @t127 (@list @t256 @t258))) % 45.12/45.30 (step @p346 :rule cnf_and_neg :args (@t259)) % 45.12/45.30 (step @p347 :rule chain_m_resolution :premises (@p346 @p345 @p245) :args (@t259 @t127 (@list @t257 @t188))) % 45.12/45.30 (step @p348 :rule cnf_equiv_pos2 :args (@t261)) % 45.12/45.30 (step @p349 :rule reordering :premises (@p348) :args ((or @t260 (not @t259) (not @t261)))) % 45.12/45.30 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p200) :args (@t260 @t127 (@list @t259 @t261))) % 45.12/45.30 (step @p351 :rule aci_norm :args ((= @t267 (or @t265 @t264 @t263)))) % 45.12/45.30 (step @p352 :rule cong :premises (@p351) :args (@t268)) % 45.12/45.30 (step @p353 :rule quant-merge-prenex :args ((= (forall @t6 @t270) @t268))) % 45.12/45.30 (step @p354 :rule alpha_equiv :args (@t271 (@list @t262) (@list @t18))) % 45.12/45.30 (step @p355 :rule refl :args (@t265)) % 45.12/45.30 (step @p356 :rule nary_cong :premises (@p355 @p354) :args (@t272)) % 45.12/45.30 (step @p357 :rule quant-miniscope-or :args ((= @t270 @t272))) % 45.12/45.30 (step @p358 :rule trans :premises (@p357 @p356)) % 45.12/45.30 (step @p359 :rule symm :premises (@p358)) % 45.12/45.30 (step @p360 :rule cong :premises (@p359) :args ((forall @t6 (or @t265 @t273)))) % 45.12/45.30 (step @p361 :rule trans :premises (@p360 @p353)) % 45.12/45.30 (step @p362 :rule trans :premises (@p361 @p352)) % 45.12/45.30 (step @p363 :rule bool-impl-elim :args (@t76 @t273)) % 45.12/45.30 (step @p364 :rule cong :premises (@p363) :args ((forall @t6 (=> @t76 @t273)))) % 45.12/45.30 (step @p365 :rule trans :premises (@p364 @p362)) % 45.12/45.30 (step @p366 :rule bool-impl-elim :args (@t74 @t73)) % 45.12/45.30 (step @p367 :rule cong :premises (@p366) :args (@t75)) % 45.12/45.30 (step @p368 :rule refl :args (@t76)) % 45.12/45.30 (step @p369 :rule cong :premises (@p368 @p367) :args (@t77)) % 45.12/45.30 (step @p370 :rule cong :premises (@p369) :args (@t78)) % 45.12/45.30 (step @p371 :rule trans :premises (@p370 @p365)) % 45.12/45.30 (step @p372 :rule eq_resolve :premises (@p17 @p371)) % 45.12/45.30 (step @p373 :rule instantiate :premises (@p372) :args ((@list @t102 @t100))) % 45.12/45.30 (step @p374 :rule cnf_and_pos :args (@t153 0)) % 45.12/45.30 (step @p375 :rule reordering :premises (@p374) :args ((or @t152 @t155))) % 45.12/45.30 (step @p376 :rule chain_m_resolution :premises (@p375 @p164) :args (@t152 @t156 @t157)) % 45.12/45.30 (step @p377 :rule cnf_or_pos :args (@t276)) % 45.12/45.30 (step @p378 :rule reordering :premises (@p377) :args ((or @t274 @t142 @t275 (not @t276)))) % 45.12/45.30 (step @p379 :rule chain_m_resolution :premises (@p378 @p192 @p376 @p373) :args (@t274 (@list false false false) (@list @t141 @t152 @t276))) % 45.12/45.30 (step @p380 :rule instantiate :premises (@p99) :args (@t181)) % 45.12/45.30 (step @p381 :rule cnf_or_neg :args (@t136 1)) % 45.12/45.30 (step @p382 :rule chain_m_resolution :premises (@p381 @p140) :args ((not @t134) @t123 @t137)) % 45.12/45.30 (step @p383 :rule cnf_equiv_pos2 :args (@t278)) % 45.12/45.30 (step @p384 :rule reordering :premises (@p383) :args ((or @t134 @t279 (not @t278)))) % 45.12/45.30 (step @p385 :rule chain_m_resolution :premises (@p384 @p382 @p380) :args (@t279 @t132 (@list @t134 @t278))) % 45.12/45.30 (step @p386 :rule cnf_and_neg :args (@t277)) % 45.12/45.30 (step @p387 :rule chain_m_resolution :premises (@p386 @p385 @p379 @p350) :args (@t280 (@list true false false) (@list @t277 @t274 @t260))) % 45.12/45.30 (step @p388 :rule refl :args (@t285)) % 45.12/45.30 (step @p389 :rule bool-double-not-elim :args (@t178)) % 45.12/45.30 (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or (not @t280) @t285))) % 45.12/45.30 (assume-push @p478 @t280) % 45.12/45.30 (step @p392 :rule skolemize :premises (@p478)) % 45.12/45.30 (step-pop @p479 :rule scope :premises (@p392)) % 45.12/45.30 (step @p393 :rule process_scope :premises (@p479) :args (@t285)) % 45.12/45.30 (step @p395 :rule implies_elim :premises (@p393)) % 45.12/45.30 (step @p396 :rule eq_resolve :premises (@p395 @p390)) % 45.12/45.30 (step @p397 :rule chain_m_resolution :premises (@p396 @p387) :args (@t285 @t123 (@list @t178))) % 45.12/45.30 (step @p398 :rule bool-double-not-elim :args (@t282)) % 45.12/45.30 (step @p399 :rule refl :args (@t284)) % 45.12/45.30 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t284 (not @t283)))) % 45.12/45.30 (step @p401 :rule cnf_or_neg :args (@t284 0)) % 45.12/45.30 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 45.12/45.30 (step @p403 :rule reordering :premises (@p402) :args ((or @t282 @t284))) % 45.12/45.30 (step @p404 :rule chain_m_resolution :premises (@p403 @p397) :args (@t282 @t123 @t286)) % 45.12/45.30 (step @p405 :rule cnf_or_pos :args (@t288)) % 45.12/45.30 (step @p406 :rule reordering :premises (@p405) :args ((or @t283 @t287 (not @t288)))) % 45.12/45.30 (step @p407 :rule chain_m_resolution :premises (@p406 @p404 @p199) :args (@t287 @t127 (@list @t282 @t288))) % 45.12/45.30 (step @p408 :rule cnf_or_pos :args (@t291)) % 45.12/45.30 (step @p409 :rule reordering :premises (@p408) :args ((or @t290 @t289 (not @t291)))) % 45.12/45.30 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p184) :args (@t289 @t127 (@list @t287 @t291))) % 45.12/45.30 (step @p411 :rule cnf_equiv_pos1 :args (@t294)) % 45.12/45.30 (step @p412 :rule reordering :premises (@p411) :args ((or (not @t289) @t293 (not @t294)))) % 45.12/45.30 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p180) :args (@t293 @t127 (@list @t289 @t294))) % 45.12/45.30 (assume-push @p480 @t293) % 45.12/45.30 (step @p415 :rule instantiate :premises (@p480) :args ((@list @t296))) % 45.12/45.30 (step-pop @p481 :rule scope :premises (@p415)) % 45.12/45.30 (step @p416 :rule process_scope :premises (@p481) :args (@t300)) % 45.12/45.30 (step @p418 :rule implies_elim :premises (@p416)) % 45.12/45.30 (step @p419 :rule chain_m_resolution :premises (@p418 @p413) :args (@t300 @t156 (@list @t293))) % 45.12/45.30 (step @p420 :rule instantiate :premises (@p106) :args (@t301)) % 45.12/45.30 (step @p421 :rule cnf_or_neg :args (@t284 1)) % 45.12/45.30 (step @p422 :rule chain_m_resolution :premises (@p421 @p397) :args ((not @t281) @t123 @t286)) % 45.12/45.30 (step @p423 :rule cnf_equiv_pos2 :args (@t302)) % 45.12/45.30 (step @p424 :rule reordering :premises (@p423) :args ((or @t281 @t303 (not @t302)))) % 45.12/45.30 (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p420) :args (@t303 @t132 (@list @t281 @t302))) % 45.12/45.30 (step @p426 :rule refl :args (@t306)) % 45.12/45.30 (step @p427 :rule bool-double-not-elim :args (@t295)) % 45.12/45.30 (step @p428 :rule nary_cong :premises (@p427 @p426) :args ((or (not @t303) @t306))) % 45.12/45.30 (assume-push @p482 @t303) % 45.12/45.30 (step @p430 :rule skolemize :premises (@p482)) % 45.12/45.30 (step-pop @p483 :rule scope :premises (@p430)) % 45.12/45.30 (step @p431 :rule process_scope :premises (@p483) :args (@t306)) % 45.12/45.30 (step @p433 :rule implies_elim :premises (@p431)) % 45.12/45.30 (step @p434 :rule eq_resolve :premises (@p433 @p428)) % 45.12/45.30 (step @p435 :rule chain_m_resolution :premises (@p434 @p425) :args (@t306 @t123 (@list @t295))) % 45.12/45.30 (step @p436 :rule bool-double-not-elim :args (@t298)) % 45.12/45.30 (step @p437 :rule refl :args (@t305)) % 45.12/45.30 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t305 (not @t299)))) % 45.12/45.30 (step @p439 :rule cnf_or_neg :args (@t305 0)) % 45.12/45.30 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 45.12/45.30 (step @p441 :rule reordering :premises (@p440) :args ((or @t298 @t305))) % 45.12/45.30 (step @p442 :rule chain_m_resolution :premises (@p441 @p435) :args (@t298 @t123 @t307)) % 45.12/45.30 (step @p443 :rule cnf_or_pos :args (@t300)) % 45.12/45.30 (step @p444 :rule reordering :premises (@p443) :args ((or @t299 @t297 (not @t300)))) % 45.12/45.30 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p419) :args (@t297 @t127 (@list @t298 @t300))) % 45.12/45.30 (step @p446 :rule eq-symm :args (@t52 @t19)) % 45.12/45.30 (step @p447 :rule cong :premises (@p446) :args (@t54)) % 45.12/45.30 (step @p448 :rule eq_resolve :premises (@p15 @p447)) % 45.12/45.30 (step @p449 :rule instantiate :premises (@p448) :args ((@list @t296 @t179))) % 45.12/45.30 (step @p450 :rule cnf_equiv_pos1 :args (@t309)) % 45.12/45.30 (step @p451 :rule reordering :premises (@p450) :args ((or @t299 @t308 (not @t309)))) % 45.12/45.30 (step @p452 :rule chain_m_resolution :premises (@p451 @p442 @p449) :args (@t308 @t127 (@list @t298 @t309))) % 45.12/45.30 (step @p453 :rule instantiate :premises (@p448) :args ((@list @t296 @t100))) % 45.12/45.30 (step @p454 :rule cnf_or_neg :args (@t305 1)) % 45.12/45.30 (step @p455 :rule chain_m_resolution :premises (@p454 @p435) :args ((not @t304) @t123 @t307)) % 45.12/45.30 (step @p456 :rule cnf_equiv_pos2 :args (@t311)) % 45.12/45.30 (step @p457 :rule reordering :premises (@p456) :args ((or @t304 @t312 (not @t311)))) % 45.12/45.30 (step @p458 :rule chain_m_resolution :premises (@p457 @p455 @p453) :args (@t312 @t132 (@list @t304 @t311))) % 45.12/45.30 (step @p459 :rule instantiate :premises (@p448) :args (@t301)) % 45.12/45.30 (step @p460 :rule cnf_equiv_pos1 :args (@t314)) % 45.12/45.30 (step @p461 :rule reordering :premises (@p460) :args ((or @t283 @t313 (not @t314)))) % 45.12/45.30 (step @p462 :rule chain_m_resolution :premises (@p461 @p404 @p459) :args (@t313 @t127 (@list @t282 @t314))) % 45.12/45.30 (step @p463 :rule cnf_or_pos :args (@t318)) % 45.12/45.30 (step @p464 :rule reordering :premises (@p463) :args ((or @t142 @t315 @t290 @t310 @t316 @t317 @t319))) % 45.12/45.30 (step @p465 :rule chain_m_resolution :premises (@p464 @p192 @p462 @p407 @p458 @p452 @p445) :args (@t319 (@list false false false true false false) (@list @t141 @t313 @t287 @t310 @t308 @t297))) % 45.12/45.30 (assume-push @p484 @t169) % 45.12/45.31 (step @p467 :rule instantiate :premises (@p179) :args ((@list @t296 @t179 @t100))) % 45.12/45.31 (step-pop @p485 :rule scope :premises (@p467)) % 45.12/45.31 (step @p468 :rule process_scope :premises (@p485) :args (@t318)) % 45.12/45.31 (step @p470 :rule implies_elim :premises (@p468)) % 45.12/45.31 (step @p471 false :rule chain_m_resolution :premises (@p470 @p465 @p179) :args (false @t132 (@list @t318 @t169))) % 45.12/45.31 ) % 45.12/45.31 % SZS output end Proof % 45.12/45.31 % cvc5 exiting %------------------------------------------------------------------------------