%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET671+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:48:24 AM UTC 2026 % Result : Theorem 218.01s 218.32s % Output : Proof 218.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET671+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:06:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 218.01/218.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 218.01/218.32 --- Run --no-e-matching --full-saturate-quant at 6... % 218.01/218.32 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 218.01/218.32 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 218.01/218.32 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 218.01/218.32 --- Run --trigger-sel=max --full-saturate-quant at 15... % 218.01/218.32 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 218.01/218.32 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 218.01/218.32 --- Run --prenex-quant=none --full-saturate-quant at 30... % 218.01/218.32 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 218.01/218.32 --- Run --relevant-triggers --full-saturate-quant at 30... % 218.01/218.32 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 218.01/218.32 % SZS status Theorem % 218.01/218.32 % SZS output start Proof % 218.01/218.32 ( % 218.01/218.32 (declare-sort $$unsorted 0) % 218.01/218.32 (declare-const tptp.empty (-> $$unsorted Bool)) % 218.01/218.32 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 218.01/218.32 (declare-const tptp.set_type $$unsorted) % 218.01/218.32 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 218.01/218.32 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.binary_relation_type $$unsorted) % 218.01/218.32 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 218.01/218.32 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 218.01/218.32 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.restrict4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 218.01/218.32 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 218.01/218.32 (define @t1 () (@var "C" $$unsorted)) % 218.01/218.32 (define @t2 () (@var "E" $$unsorted)) % 218.01/218.32 (define @t3 () (@var "D" $$unsorted)) % 218.01/218.32 (define @t4 () (tptp.ordered_pair @t3 @t2)) % 218.01/218.32 (define @t5 () (@var "B" $$unsorted)) % 218.01/218.32 (define @t6 () (= (tptp.member @t4 @t5) (tptp.member @t4 @t1))) % 218.01/218.32 (define @t7 () (tptp.ilf_type @t2 tptp.set_type)) % 218.01/218.32 (define @t8 () (@list @t2)) % 218.01/218.32 (define @t9 () (forall @t8 (=> @t7 @t6))) % 218.01/218.32 (define @t10 () (tptp.ilf_type @t3 tptp.set_type)) % 218.01/218.32 (define @t11 () (=> @t10 @t9)) % 218.01/218.32 (define @t12 () (@list @t3)) % 218.01/218.32 (define @t13 () (forall @t12 @t11)) % 218.01/218.32 (define @t14 () (= @t5 @t1)) % 218.01/218.32 (define @t15 () (= @t14 @t13)) % 218.01/218.32 (define @t16 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 218.01/218.32 (define @t17 () (=> @t16 @t15)) % 218.01/218.32 (define @t18 () (@list @t1)) % 218.01/218.32 (define @t19 () (forall @t18 @t17)) % 218.01/218.32 (define @t20 () (tptp.ilf_type @t5 tptp.binary_relation_type)) % 218.01/218.32 (define @t21 () (=> @t20 @t19)) % 218.01/218.32 (define @t22 () (@list @t5)) % 218.01/218.32 (define @t23 () (forall @t22 @t21)) % 218.01/218.32 (define @t24 () (tptp.ordered_pair @t1 @t3)) % 218.01/218.32 (define @t25 () (tptp.member @t1 @t5)) % 218.01/218.32 (define @t26 () (= (tptp.member @t24 (tptp.restrict @t2 @t5)) (and @t25 (tptp.member @t24 @t2)))) % 218.01/218.32 (define @t27 () (tptp.ilf_type @t2 tptp.binary_relation_type)) % 218.01/218.32 (define @t28 () (forall @t8 (=> @t27 @t26))) % 218.01/218.32 (define @t29 () (=> @t10 @t28)) % 218.01/218.32 (define @t30 () (forall @t12 @t29)) % 218.01/218.32 (define @t31 () (tptp.ilf_type @t1 tptp.set_type)) % 218.01/218.32 (define @t32 () (=> @t31 @t30)) % 218.01/218.32 (define @t33 () (forall @t18 @t32)) % 218.01/218.32 (define @t34 () (tptp.ilf_type @t5 tptp.set_type)) % 218.01/218.32 (define @t35 () (=> @t34 @t33)) % 218.01/218.32 (define @t36 () (forall @t22 @t35)) % 218.01/218.32 (define @t37 () (tptp.member @t3 @t5)) % 218.01/218.32 (define @t38 () (and @t37 (tptp.member @t2 @t1))) % 218.01/218.32 (define @t39 () (@var "F" $$unsorted)) % 218.01/218.32 (define @t40 () (tptp.member @t4 @t39)) % 218.01/218.32 (define @t41 () (=> @t40 @t38)) % 218.01/218.32 (define @t42 () (tptp.relation_type @t5 @t1)) % 218.01/218.32 (define @t43 () (tptp.ilf_type @t39 @t42)) % 218.01/218.32 (define @t44 () (@list @t39)) % 218.01/218.32 (define @t45 () (forall @t44 (=> @t43 @t41))) % 218.01/218.32 (define @t46 () (=> @t7 @t45)) % 218.01/218.32 (define @t47 () (forall @t8 @t46)) % 218.01/218.32 (define @t48 () (=> @t10 @t47)) % 218.01/218.32 (define @t49 () (forall @t12 @t48)) % 218.01/218.32 (define @t50 () (=> @t31 @t49)) % 218.01/218.32 (define @t51 () (forall @t18 @t50)) % 218.01/218.32 (define @t52 () (=> @t34 @t51)) % 218.01/218.32 (define @t53 () (forall @t22 @t52)) % 218.01/218.32 (define @t54 () (tptp.cross_product @t5 @t1)) % 218.01/218.32 (define @t55 () (tptp.subset_type @t54)) % 218.01/218.32 (define @t56 () (tptp.ilf_type @t2 @t55)) % 218.01/218.32 (define @t57 () (tptp.ilf_type @t2 @t42)) % 218.01/218.32 (define @t58 () (forall @t8 (=> @t57 @t56))) % 218.01/218.32 (define @t59 () (tptp.ilf_type @t3 @t42)) % 218.01/218.32 (define @t60 () (tptp.ilf_type @t3 @t55)) % 218.01/218.32 (define @t61 () (forall @t12 (=> @t60 @t59))) % 218.01/218.32 (define @t62 () (and @t61 @t58)) % 218.01/218.32 (define @t63 () (=> @t31 @t62)) % 218.01/218.32 (define @t64 () (forall @t18 @t63)) % 218.01/218.32 (define @t65 () (=> @t34 @t64)) % 218.01/218.32 (define @t66 () (forall @t22 @t65)) % 218.01/218.32 (define @t67 () (tptp.relation_type @t1 @t5)) % 218.01/218.32 (define @t68 () (tptp.member @t3 @t1)) % 218.01/218.32 (define @t69 () (=> @t37 @t68)) % 218.01/218.32 (define @t70 () (forall @t12 (=> @t10 @t69))) % 218.01/218.32 (define @t71 () (tptp.subset @t5 @t1)) % 218.01/218.32 (define @t72 () (= @t71 @t70)) % 218.01/218.32 (define @t73 () (=> @t31 @t72)) % 218.01/218.32 (define @t74 () (forall @t18 @t73)) % 218.01/218.32 (define @t75 () (=> @t34 @t74)) % 218.01/218.32 (define @t76 () (forall @t22 @t75)) % 218.01/218.32 (define @t77 () (tptp.ilf_type (tptp.restrict @t5 @t1) tptp.binary_relation_type)) % 218.01/218.32 (define @t78 () (forall @t18 (=> @t31 @t77))) % 218.01/218.32 (define @t79 () (=> @t20 @t78)) % 218.01/218.32 (define @t80 () (forall @t22 @t79)) % 218.01/218.32 (define @t81 () (tptp.relation_like @t5)) % 218.01/218.32 (define @t82 () (= @t20 (and @t81 @t34))) % 218.01/218.32 (define @t83 () (forall @t22 (=> @t34 @t82))) % 218.01/218.32 (define @t84 () (tptp.power_set @t5)) % 218.01/218.32 (define @t85 () (tptp.ilf_type @t1 (tptp.subset_type @t5))) % 218.01/218.32 (define @t86 () (tptp.empty @t5)) % 218.01/218.32 (define @t87 () (tptp.relation_like @t3)) % 218.01/218.32 (define @t88 () (forall @t12 (=> @t60 @t87))) % 218.01/218.32 (define @t89 () (=> @t31 @t88)) % 218.01/218.32 (define @t90 () (forall @t18 @t89)) % 218.01/218.32 (define @t91 () (=> @t34 @t90)) % 218.01/218.32 (define @t92 () (forall @t22 @t91)) % 218.01/218.32 (define @t93 () (tptp.restrict4 @t5 @t1 @t3 @t2)) % 218.01/218.32 (define @t94 () (= @t93 (tptp.restrict @t3 @t2))) % 218.01/218.32 (define @t95 () (forall @t8 (=> @t7 @t94))) % 218.01/218.32 (define @t96 () (=> @t59 @t95)) % 218.01/218.32 (define @t97 () (forall @t12 @t96)) % 218.01/218.32 (define @t98 () (=> @t31 @t97)) % 218.01/218.32 (define @t99 () (forall @t18 @t98)) % 218.01/218.32 (define @t100 () (=> @t34 @t99)) % 218.01/218.32 (define @t101 () (forall @t22 @t100)) % 218.01/218.32 (define @t102 () (forall @t22 @t34)) % 218.01/218.32 (define @t103 () (tptp.restrict4 @t1 @t5 @t2 @t3)) % 218.01/218.32 (define @t104 () (tptp.subset @t1 @t3)) % 218.01/218.32 (define @t105 () (=> @t104 (= @t103 @t2))) % 218.01/218.32 (define @t106 () (tptp.ilf_type @t2 @t67)) % 218.01/218.32 (define @t107 () (=> @t106 @t105)) % 218.01/218.32 (define @t108 () (forall @t8 @t107)) % 218.01/218.32 (define @t109 () (=> @t10 @t108)) % 218.01/218.32 (define @t110 () (forall @t12 @t109)) % 218.01/218.32 (define @t111 () (=> @t31 @t110)) % 218.01/218.32 (define @t112 () (forall @t18 @t111)) % 218.01/218.32 (define @t113 () (=> @t34 @t112)) % 218.01/218.32 (define @t114 () (forall @t22 @t113)) % 218.01/218.32 (define @t115 () (not @t114)) % 218.01/218.32 (define @t116 () (@var "BOUND_VARIABLE_8326" $$unsorted)) % 218.01/218.32 (define @t117 () (@var "BOUND_VARIABLE_8324" $$unsorted)) % 218.01/218.32 (define @t118 () (@var "BOUND_VARIABLE_8322" $$unsorted)) % 218.01/218.32 (define @t119 () (= (tptp.restrict4 @t5 @t118 @t117 @t116) (tptp.restrict @t117 @t116))) % 218.01/218.32 (define @t120 () (@const 0 it_6_$$unsorted)) % 218.01/218.32 (define @t121 () (@const 1 (-> $$unsorted it_6_$$unsorted Bool))) % 218.01/218.32 (define @t122 () (@const 2 (-> $$unsorted $$unsorted it_6_$$unsorted))) % 218.01/218.32 (define @t123 () (_ @t121 @t5 @t120)) % 218.01/218.32 (define @t124 () (not @t123)) % 218.01/218.32 (define @t125 () (@list @t5 @t118 @t117 @t116)) % 218.01/218.32 (define @t126 () (not (tptp.ilf_type @t116 tptp.set_type))) % 218.01/218.32 (define @t127 () (not (tptp.ilf_type @t117 (tptp.relation_type @t5 @t118)))) % 218.01/218.32 (define @t128 () (not (tptp.ilf_type @t118 tptp.set_type))) % 218.01/218.32 (define @t129 () (not @t34)) % 218.01/218.32 (define @t130 () (or @t129 @t128 @t127 @t126 @t119)) % 218.01/218.32 (define @t131 () (or @t128 @t127 @t126 @t119)) % 218.01/218.32 (define @t132 () (or @t129 @t131)) % 218.01/218.32 (define @t133 () (forall @t125 @t132)) % 218.01/218.32 (define @t134 () (@list @t118 @t117 @t116)) % 218.01/218.32 (define @t135 () (forall @t134 @t132)) % 218.01/218.32 (define @t136 () (forall @t134 @t131)) % 218.01/218.32 (define @t137 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 218.01/218.32 (define @t138 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 218.01/218.32 (define @t139 () (or @t129 @t136)) % 218.01/218.32 (define @t140 () (= (tptp.restrict4 @t5 @t1 @t138 @t137) (tptp.restrict @t138 @t137))) % 218.01/218.32 (define @t141 () (not (tptp.ilf_type @t137 tptp.set_type))) % 218.01/218.32 (define @t142 () (not (tptp.ilf_type @t138 @t42))) % 218.01/218.32 (define @t143 () (not @t31)) % 218.01/218.32 (define @t144 () (or @t143 @t142 @t141 @t140)) % 218.01/218.32 (define @t145 () (@list @t1 @t138 @t137)) % 218.01/218.32 (define @t146 () (forall @t145 @t144)) % 218.01/218.32 (define @t147 () (or @t142 @t141 @t140)) % 218.01/218.32 (define @t148 () (or @t143 @t147)) % 218.01/218.32 (define @t149 () (forall @t145 @t148)) % 218.01/218.32 (define @t150 () (@list @t138 @t137)) % 218.01/218.32 (define @t151 () (forall @t150 @t148)) % 218.01/218.32 (define @t152 () (forall @t150 @t147)) % 218.01/218.32 (define @t153 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 218.01/218.32 (define @t154 () (or @t143 @t152)) % 218.01/218.32 (define @t155 () (= (tptp.restrict4 @t5 @t1 @t3 @t153) (tptp.restrict @t3 @t153))) % 218.01/218.32 (define @t156 () (not (tptp.ilf_type @t153 tptp.set_type))) % 218.01/218.32 (define @t157 () (not @t59)) % 218.01/218.32 (define @t158 () (or @t157 @t156 @t155)) % 218.01/218.32 (define @t159 () (@list @t3 @t153)) % 218.01/218.32 (define @t160 () (forall @t159 @t158)) % 218.01/218.32 (define @t161 () (or @t156 @t155)) % 218.01/218.32 (define @t162 () (or @t157 @t161)) % 218.01/218.32 (define @t163 () (forall @t159 @t162)) % 218.01/218.32 (define @t164 () (@list @t153)) % 218.01/218.32 (define @t165 () (forall @t164 @t162)) % 218.01/218.32 (define @t166 () (forall @t164 @t161)) % 218.01/218.32 (define @t167 () (@list @t2)) % 218.01/218.32 (define @t168 () (or @t157 @t166)) % 218.01/218.32 (define @t169 () (not @t7)) % 218.01/218.32 (define @t170 () (forall @t8 (or @t169 @t94))) % 218.01/218.32 (define @t171 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 218.01/218.32 (define @t172 () (@var "BOUND_VARIABLE_8467" $$unsorted)) % 218.01/218.32 (define @t173 () (@var "BOUND_VARIABLE_8463" $$unsorted)) % 218.01/218.32 (define @t174 () (= @t172 (tptp.restrict4 @t173 @t5 @t172 @t171))) % 218.01/218.32 (define @t175 () (not (tptp.subset @t173 @t171))) % 218.01/218.32 (define @t176 () (@list @t5 @t173 @t171 @t172)) % 218.01/218.32 (define @t177 () (forall @t176 (or @t124 (not (_ @t121 @t173 @t120)) (not (_ @t121 @t171 @t120)) @t175 (not (_ @t121 @t172 (_ @t122 @t173 @t5))) @t174))) % 218.01/218.32 (define @t178 () (@quantifiers_skolemize @t177 2)) % 218.01/218.32 (define @t179 () (@quantifiers_skolemize @t177 3)) % 218.01/218.32 (define @t180 () (@quantifiers_skolemize @t177 0)) % 218.01/218.32 (define @t181 () (@quantifiers_skolemize @t177 1)) % 218.01/218.32 (define @t182 () (not (tptp.ilf_type @t172 (tptp.relation_type @t173 @t5)))) % 218.01/218.32 (define @t183 () (not (tptp.ilf_type @t171 tptp.set_type))) % 218.01/218.32 (define @t184 () (not (tptp.ilf_type @t173 tptp.set_type))) % 218.01/218.32 (define @t185 () (or @t129 @t184 @t183 @t175 @t182 @t174)) % 218.01/218.32 (define @t186 () (or @t184 @t183 @t175 @t182 @t174)) % 218.01/218.32 (define @t187 () (or @t129 @t186)) % 218.01/218.32 (define @t188 () (forall @t176 @t187)) % 218.01/218.32 (define @t189 () (@list @t173 @t171 @t172)) % 218.01/218.32 (define @t190 () (forall @t189 @t187)) % 218.01/218.32 (define @t191 () (forall @t189 @t186)) % 218.01/218.32 (define @t192 () (@var "BOUND_VARIABLE_8443" $$unsorted)) % 218.01/218.32 (define @t193 () (@var "BOUND_VARIABLE_8441" $$unsorted)) % 218.01/218.32 (define @t194 () (or @t129 @t191)) % 218.01/218.32 (define @t195 () (= @t192 (tptp.restrict4 @t1 @t5 @t192 @t193))) % 218.01/218.32 (define @t196 () (not (tptp.ilf_type @t192 @t67))) % 218.01/218.32 (define @t197 () (not (tptp.subset @t1 @t193))) % 218.01/218.32 (define @t198 () (not (tptp.ilf_type @t193 tptp.set_type))) % 218.01/218.32 (define @t199 () (or @t143 @t198 @t197 @t196 @t195)) % 218.01/218.32 (define @t200 () (@list @t1 @t193 @t192)) % 218.01/218.32 (define @t201 () (forall @t200 @t199)) % 218.01/218.32 (define @t202 () (or @t198 @t197 @t196 @t195)) % 218.01/218.32 (define @t203 () (or @t143 @t202)) % 218.01/218.32 (define @t204 () (forall @t200 @t203)) % 218.01/218.32 (define @t205 () (@list @t193 @t192)) % 218.01/218.32 (define @t206 () (forall @t205 @t203)) % 218.01/218.32 (define @t207 () (forall @t205 @t202)) % 218.01/218.32 (define @t208 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 218.01/218.32 (define @t209 () (or @t143 @t207)) % 218.01/218.32 (define @t210 () (= @t208 (tptp.restrict4 @t1 @t5 @t208 @t3))) % 218.01/218.32 (define @t211 () (not (tptp.ilf_type @t208 @t67))) % 218.01/218.32 (define @t212 () (not @t104)) % 218.01/218.32 (define @t213 () (not @t10)) % 218.01/218.32 (define @t214 () (or @t213 @t212 @t211 @t210)) % 218.01/218.32 (define @t215 () (@list @t3 @t208)) % 218.01/218.32 (define @t216 () (forall @t215 @t214)) % 218.01/218.32 (define @t217 () (or @t211 @t210)) % 218.01/218.32 (define @t218 () (or @t213 @t212 @t217)) % 218.01/218.32 (define @t219 () (forall @t215 @t218)) % 218.01/218.32 (define @t220 () (@list @t208)) % 218.01/218.32 (define @t221 () (forall @t220 @t218)) % 218.01/218.32 (define @t222 () (forall @t220 @t217)) % 218.01/218.32 (define @t223 () (or @t213 @t212 @t222)) % 218.01/218.32 (define @t224 () (= @t2 @t103)) % 218.01/218.32 (define @t225 () (not @t106)) % 218.01/218.32 (define @t226 () (or @t225 @t224)) % 218.01/218.32 (define @t227 () (forall @t8 @t226)) % 218.01/218.32 (define @t228 () (or @t213 @t212 @t227)) % 218.01/218.32 (define @t229 () (or @t212 @t227)) % 218.01/218.32 (define @t230 () (or @t212 @t226)) % 218.01/218.32 (define @t231 () (or @t225 @t212 @t224)) % 218.01/218.32 (define @t232 () (=> @t104 @t224)) % 218.01/218.32 (define @t233 () (_ @t121 @t179 (_ @t122 @t181 @t180))) % 218.01/218.32 (define @t234 () (tptp.restrict4 @t181 @t180 @t179 @t178)) % 218.01/218.32 (define @t235 () (= @t179 @t234)) % 218.01/218.32 (define @t236 () (not @t233)) % 218.01/218.32 (define @t237 () (tptp.subset @t181 @t178)) % 218.01/218.32 (define @t238 () (not @t237)) % 218.01/218.32 (define @t239 () (_ @t121 @t178 @t120)) % 218.01/218.32 (define @t240 () (not @t239)) % 218.01/218.32 (define @t241 () (_ @t121 @t181 @t120)) % 218.01/218.32 (define @t242 () (not @t241)) % 218.01/218.32 (define @t243 () (_ @t121 @t180 @t120)) % 218.01/218.32 (define @t244 () (not @t243)) % 218.01/218.32 (define @t245 () (or @t244 @t242 @t240 @t238 @t236 @t235)) % 218.01/218.32 (define @t246 () (@list true)) % 218.01/218.32 (define @t247 () (@list @t245)) % 218.01/218.32 (define @t248 () (tptp.restrict @t179 @t178)) % 218.01/218.32 (define @t249 () (= @t234 @t248)) % 218.01/218.32 (define @t250 () (or @t242 @t244 @t236 @t240 @t249)) % 218.01/218.32 (define @t251 () (@var "BOUND_VARIABLE_7697" $$unsorted)) % 218.01/218.32 (define @t252 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 218.01/218.32 (define @t253 () (tptp.ordered_pair @t3 @t252)) % 218.01/218.32 (define @t254 () (tptp.member @t253 @t5)) % 218.01/218.32 (define @t255 () (= @t254 (tptp.member @t253 @t251))) % 218.01/218.32 (define @t256 () (not (_ @t121 @t252 @t120))) % 218.01/218.32 (define @t257 () (not (_ @t121 @t3 @t120))) % 218.01/218.32 (define @t258 () (@list @t3 @t252)) % 218.01/218.32 (define @t259 () (= @t5 @t251)) % 218.01/218.32 (define @t260 () (@const 3 it_6_$$unsorted)) % 218.01/218.32 (define @t261 () (_ @t121 @t5 @t260)) % 218.01/218.32 (define @t262 () (not @t261)) % 218.01/218.32 (define @t263 () (@list @t5 @t251)) % 218.01/218.32 (define @t264 () (forall @t263 (or @t262 (not (_ @t121 @t251 @t260)) (= @t259 (forall @t258 (or @t257 @t256 @t255)))))) % 218.01/218.32 (define @t265 () (not (tptp.ilf_type @t252 tptp.set_type))) % 218.01/218.32 (define @t266 () (= @t259 (forall @t258 (or @t213 @t265 @t255)))) % 218.01/218.32 (define @t267 () (not (tptp.ilf_type @t251 tptp.binary_relation_type))) % 218.01/218.32 (define @t268 () (not @t20)) % 218.01/218.32 (define @t269 () (or @t268 @t267 @t266)) % 218.01/218.32 (define @t270 () (or @t267 @t266)) % 218.01/218.32 (define @t271 () (or @t268 @t270)) % 218.01/218.32 (define @t272 () (forall @t263 @t271)) % 218.01/218.32 (define @t273 () (@list @t251)) % 218.01/218.32 (define @t274 () (forall @t273 @t271)) % 218.01/218.32 (define @t275 () (forall @t273 @t270)) % 218.01/218.32 (define @t276 () (@list @t1)) % 218.01/218.32 (define @t277 () (or @t268 @t275)) % 218.01/218.32 (define @t278 () (= @t254 (tptp.member @t253 @t1))) % 218.01/218.32 (define @t279 () (or @t213 @t265 @t278)) % 218.01/218.32 (define @t280 () (= @t14 (forall @t258 @t279))) % 218.01/218.32 (define @t281 () (forall @t18 (or (not @t16) @t280))) % 218.01/218.32 (define @t282 () (or @t265 @t278)) % 218.01/218.32 (define @t283 () (or @t213 @t282)) % 218.01/218.32 (define @t284 () (forall @t258 @t283)) % 218.01/218.32 (define @t285 () (@list @t252)) % 218.01/218.32 (define @t286 () (forall @t285 @t283)) % 218.01/218.32 (define @t287 () (forall @t285 @t282)) % 218.01/218.32 (define @t288 () (or @t213 @t287)) % 218.01/218.32 (define @t289 () (forall @t8 (or @t169 @t6))) % 218.01/218.32 (define @t290 () (tptp.member @t253 @t179)) % 218.01/218.32 (define @t291 () (tptp.member @t253 @t234)) % 218.01/218.32 (define @t292 () (or @t257 @t256 (= @t290 @t291))) % 218.01/218.32 (define @t293 () (forall @t258 @t292)) % 218.01/218.32 (define @t294 () (= @t235 @t293)) % 218.01/218.32 (define @t295 () (_ @t121 @t234 @t260)) % 218.01/218.32 (define @t296 () (not @t295)) % 218.01/218.32 (define @t297 () (_ @t121 @t179 @t260)) % 218.01/218.32 (define @t298 () (not @t297)) % 218.01/218.32 (define @t299 () (or @t298 @t296 @t294)) % 218.01/218.32 (define @t300 () (forall @t258 (or @t257 @t256 (= @t291 @t290)))) % 218.01/218.32 (define @t301 () (= @t235 @t300)) % 218.01/218.32 (define @t302 () (or @t298 @t296 @t301)) % 218.01/218.32 (define @t303 () (@list false)) % 218.01/218.32 (define @t304 () (@quantifiers_skolemize @t300 0)) % 218.01/218.32 (define @t305 () (_ @t121 @t304 @t120)) % 218.01/218.32 (define @t306 () (@quantifiers_skolemize @t300 1)) % 218.01/218.32 (define @t307 () (tptp.ordered_pair @t304 @t306)) % 218.01/218.32 (define @t308 () (tptp.member @t307 @t179)) % 218.01/218.32 (define @t309 () (tptp.member @t307 @t234)) % 218.01/218.32 (define @t310 () (= @t309 @t308)) % 218.01/218.32 (define @t311 () (_ @t121 @t306 @t120)) % 218.01/218.32 (define @t312 () (not @t311)) % 218.01/218.32 (define @t313 () (not @t305)) % 218.01/218.32 (define @t314 () (or @t313 @t312 @t310)) % 218.01/218.32 (define @t315 () (@list @t179)) % 218.01/218.32 (define @t316 () (_ @t121 @t179 @t120)) % 218.01/218.32 (define @t317 () (tptp.relation_like @t179)) % 218.01/218.32 (define @t318 () (and @t317 @t316)) % 218.01/218.32 (define @t319 () (= @t297 @t318)) % 218.01/218.32 (define @t320 () (not @t316)) % 218.01/218.32 (define @t321 () (or @t320 @t319)) % 218.01/218.32 (define @t322 () (@list false false)) % 218.01/218.32 (define @t323 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 218.01/218.32 (define @t324 () (tptp.relation_like @t323)) % 218.01/218.32 (define @t325 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 218.01/218.32 (define @t326 () (tptp.cross_product @t5 @t325)) % 218.01/218.32 (define @t327 () (@const 4 (-> $$unsorted it_6_$$unsorted))) % 218.01/218.32 (define @t328 () (@list @t5 @t325 @t323)) % 218.01/218.32 (define @t329 () (not (tptp.ilf_type @t323 (tptp.subset_type @t326)))) % 218.01/218.32 (define @t330 () (not (tptp.ilf_type @t325 tptp.set_type))) % 218.01/218.32 (define @t331 () (or @t129 @t330 @t329 @t324)) % 218.01/218.32 (define @t332 () (or @t330 @t329 @t324)) % 218.01/218.32 (define @t333 () (or @t129 @t332)) % 218.01/218.32 (define @t334 () (forall @t328 @t333)) % 218.01/218.32 (define @t335 () (@list @t325 @t323)) % 218.01/218.32 (define @t336 () (forall @t335 @t333)) % 218.01/218.32 (define @t337 () (forall @t335 @t332)) % 218.01/218.32 (define @t338 () (@var "BOUND_VARIABLE_8231" $$unsorted)) % 218.01/218.32 (define @t339 () (or @t129 @t337)) % 218.01/218.32 (define @t340 () (tptp.relation_like @t338)) % 218.01/218.32 (define @t341 () (not (tptp.ilf_type @t338 @t55))) % 218.01/218.32 (define @t342 () (or @t143 @t341 @t340)) % 218.01/218.32 (define @t343 () (@list @t1 @t338)) % 218.01/218.32 (define @t344 () (forall @t343 @t342)) % 218.01/218.32 (define @t345 () (or @t341 @t340)) % 218.01/218.32 (define @t346 () (or @t143 @t345)) % 218.01/218.32 (define @t347 () (forall @t343 @t346)) % 218.01/218.32 (define @t348 () (@list @t338)) % 218.01/218.32 (define @t349 () (forall @t348 @t346)) % 218.01/218.32 (define @t350 () (forall @t348 @t345)) % 218.01/218.32 (define @t351 () (@list @t3)) % 218.01/218.32 (define @t352 () (or @t143 @t350)) % 218.01/218.32 (define @t353 () (not @t60)) % 218.01/218.32 (define @t354 () (forall @t12 (or @t353 @t87))) % 218.01/218.32 (define @t355 () (@var "BOUND_VARIABLE_7932" $$unsorted)) % 218.01/218.32 (define @t356 () (tptp.cross_product @t5 @t355)) % 218.01/218.32 (define @t357 () (_ @t327 @t356)) % 218.01/218.32 (define @t358 () (@var "BOUND_VARIABLE_7936" $$unsorted)) % 218.01/218.32 (define @t359 () (_ @t122 @t5 @t355)) % 218.01/218.32 (define @t360 () (@var "BOUND_VARIABLE_7934" $$unsorted)) % 218.01/218.32 (define @t361 () (@list @t5 @t355 @t360 @t358)) % 218.01/218.32 (define @t362 () (tptp.subset_type @t356)) % 218.01/218.32 (define @t363 () (tptp.relation_type @t5 @t355)) % 218.01/218.32 (define @t364 () (and (or (not (tptp.ilf_type @t360 @t362)) (tptp.ilf_type @t360 @t363)) (or (not (tptp.ilf_type @t358 @t363)) (tptp.ilf_type @t358 @t362)))) % 218.01/218.32 (define @t365 () (not (tptp.ilf_type @t355 tptp.set_type))) % 218.01/218.32 (define @t366 () (or @t129 @t365 @t364)) % 218.01/218.32 (define @t367 () (or @t365 @t364)) % 218.01/218.32 (define @t368 () (or @t129 @t367)) % 218.01/218.32 (define @t369 () (forall @t361 @t368)) % 218.01/218.32 (define @t370 () (@list @t355 @t360 @t358)) % 218.01/218.32 (define @t371 () (forall @t370 @t368)) % 218.01/218.32 (define @t372 () (forall @t370 @t367)) % 218.01/218.32 (define @t373 () (@var "BOUND_VARIABLE_7918" $$unsorted)) % 218.01/218.32 (define @t374 () (@var "BOUND_VARIABLE_7912" $$unsorted)) % 218.01/218.32 (define @t375 () (or @t129 @t372)) % 218.01/218.32 (define @t376 () (or (not (tptp.ilf_type @t373 @t42)) (tptp.ilf_type @t373 @t55))) % 218.01/218.32 (define @t377 () (or (not (tptp.ilf_type @t374 @t55)) (tptp.ilf_type @t374 @t42))) % 218.01/218.32 (define @t378 () (and @t377 @t376)) % 218.01/218.32 (define @t379 () (or @t143 @t378)) % 218.01/218.32 (define @t380 () (forall (@list @t1 @t374 @t373) @t379)) % 218.01/218.32 (define @t381 () (@list @t374 @t373)) % 218.01/218.32 (define @t382 () (forall @t381 @t379)) % 218.01/218.32 (define @t383 () (forall (@list @t373) @t376)) % 218.01/218.32 (define @t384 () (forall @t381 @t376)) % 218.01/218.32 (define @t385 () (forall (@list @t374) @t377)) % 218.01/218.32 (define @t386 () (forall @t381 @t377)) % 218.01/218.32 (define @t387 () (and @t386 @t384)) % 218.01/218.32 (define @t388 () (forall @t381 @t378)) % 218.01/218.32 (define @t389 () (or @t143 @t388)) % 218.01/218.32 (define @t390 () (and (forall @t12 (or @t353 @t59)) (forall @t8 (or (not @t57) @t56)))) % 218.01/218.32 (define @t391 () (_ @t121 @t179 (_ @t327 (tptp.cross_product @t181 @t180)))) % 218.01/218.32 (define @t392 () (or @t236 @t391)) % 218.01/218.32 (define @t393 () (not @t391)) % 218.01/218.32 (define @t394 () (and (or @t393 @t233) @t392)) % 218.01/218.32 (define @t395 () (or @t242 @t244 @t394)) % 218.01/218.32 (define @t396 () (@list false false false)) % 218.01/218.32 (define @t397 () (or @t242 @t244 @t393 @t317)) % 218.01/218.32 (define @t398 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 218.01/218.32 (define @t399 () (@var "BOUND_VARIABLE_7768" $$unsorted)) % 218.01/218.32 (define @t400 () (@var "BOUND_VARIABLE_7766" $$unsorted)) % 218.01/218.32 (define @t401 () (tptp.ordered_pair @t400 @t399)) % 218.01/218.32 (define @t402 () (= (tptp.member @t401 (tptp.restrict @t398 @t5)) (and (tptp.member @t400 @t5) (tptp.member @t401 @t398)))) % 218.01/218.32 (define @t403 () (@list @t5 @t400 @t399 @t398)) % 218.01/218.32 (define @t404 () (not (tptp.ilf_type @t398 tptp.binary_relation_type))) % 218.01/218.32 (define @t405 () (not (tptp.ilf_type @t399 tptp.set_type))) % 218.01/218.32 (define @t406 () (not (tptp.ilf_type @t400 tptp.set_type))) % 218.01/218.32 (define @t407 () (or @t129 @t406 @t405 @t404 @t402)) % 218.01/218.32 (define @t408 () (or @t406 @t405 @t404 @t402)) % 218.01/218.32 (define @t409 () (or @t129 @t408)) % 218.01/218.32 (define @t410 () (forall @t403 @t409)) % 218.01/218.32 (define @t411 () (@list @t400 @t399 @t398)) % 218.01/218.32 (define @t412 () (forall @t411 @t409)) % 218.01/218.32 (define @t413 () (forall @t411 @t408)) % 218.01/218.32 (define @t414 () (@var "BOUND_VARIABLE_7743" $$unsorted)) % 218.01/218.32 (define @t415 () (@var "BOUND_VARIABLE_7741" $$unsorted)) % 218.01/218.32 (define @t416 () (or @t129 @t413)) % 218.01/218.32 (define @t417 () (tptp.ordered_pair @t1 @t415)) % 218.01/218.32 (define @t418 () (= (tptp.member @t417 (tptp.restrict @t414 @t5)) (and @t25 (tptp.member @t417 @t414)))) % 218.01/218.32 (define @t419 () (not (tptp.ilf_type @t414 tptp.binary_relation_type))) % 218.01/218.32 (define @t420 () (not (tptp.ilf_type @t415 tptp.set_type))) % 218.01/218.32 (define @t421 () (or @t143 @t420 @t419 @t418)) % 218.01/218.32 (define @t422 () (@list @t1 @t415 @t414)) % 218.01/218.32 (define @t423 () (forall @t422 @t421)) % 218.01/218.32 (define @t424 () (or @t420 @t419 @t418)) % 218.01/218.32 (define @t425 () (or @t143 @t424)) % 218.01/218.32 (define @t426 () (forall @t422 @t425)) % 218.01/218.32 (define @t427 () (@list @t415 @t414)) % 218.01/218.32 (define @t428 () (forall @t427 @t425)) % 218.01/218.32 (define @t429 () (forall @t427 @t424)) % 218.01/218.32 (define @t430 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 218.01/218.32 (define @t431 () (or @t143 @t429)) % 218.01/218.32 (define @t432 () (= (tptp.member @t24 (tptp.restrict @t430 @t5)) (and @t25 (tptp.member @t24 @t430)))) % 218.01/218.32 (define @t433 () (not (tptp.ilf_type @t430 tptp.binary_relation_type))) % 218.01/218.32 (define @t434 () (or @t213 @t433 @t432)) % 218.01/218.32 (define @t435 () (@list @t3 @t430)) % 218.01/218.32 (define @t436 () (forall @t435 @t434)) % 218.01/218.32 (define @t437 () (or @t433 @t432)) % 218.01/218.32 (define @t438 () (or @t213 @t437)) % 218.01/218.32 (define @t439 () (forall @t435 @t438)) % 218.01/218.32 (define @t440 () (@list @t430)) % 218.01/218.32 (define @t441 () (forall @t440 @t438)) % 218.01/218.32 (define @t442 () (forall @t440 @t437)) % 218.01/218.32 (define @t443 () (or @t213 @t442)) % 218.01/218.32 (define @t444 () (forall @t8 (or (not @t27) @t26))) % 218.01/218.32 (define @t445 () (tptp.member @t304 @t178)) % 218.01/218.32 (define @t446 () (and @t445 @t308)) % 218.01/218.32 (define @t447 () (tptp.member @t307 @t248)) % 218.01/218.32 (define @t448 () (= @t447 @t446)) % 218.01/218.32 (define @t449 () (or @t240 @t313 @t312 @t298 @t448)) % 218.01/218.32 (define @t450 () (not @t446)) % 218.01/218.32 (define @t451 () (not @t448)) % 218.01/218.32 (define @t452 () (not @t447)) % 218.01/218.32 (define @t453 () (and @t249 @t309)) % 218.01/218.32 (define @t454 () (not @t309)) % 218.01/218.32 (define @t455 () (not @t249)) % 218.01/218.32 (define @t456 () (and @t249 @t454)) % 218.01/218.32 (define @t457 () (@var "BOUND_VARIABLE_7877" $$unsorted)) % 218.01/218.32 (define @t458 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 218.01/218.32 (define @t459 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 218.01/218.32 (define @t460 () (not (tptp.member (tptp.ordered_pair @t459 @t458) @t457))) % 218.01/218.32 (define @t461 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 218.01/218.32 (define @t462 () (and (tptp.member @t459 @t5) (tptp.member @t458 @t461))) % 218.01/218.32 (define @t463 () (@list @t5 @t461 @t459 @t458 @t457)) % 218.01/218.32 (define @t464 () (not (tptp.ilf_type @t457 (tptp.relation_type @t5 @t461)))) % 218.01/218.32 (define @t465 () (not (tptp.ilf_type @t458 tptp.set_type))) % 218.01/218.32 (define @t466 () (not (tptp.ilf_type @t459 tptp.set_type))) % 218.01/218.32 (define @t467 () (not (tptp.ilf_type @t461 tptp.set_type))) % 218.01/218.32 (define @t468 () (or @t129 @t467 @t466 @t465 @t462 @t464 @t460)) % 218.01/218.32 (define @t469 () (or @t467 @t466 @t465 @t462 @t464 @t460)) % 218.01/218.32 (define @t470 () (or @t129 @t469)) % 218.01/218.32 (define @t471 () (forall @t463 @t470)) % 218.01/218.32 (define @t472 () (@list @t461 @t459 @t458 @t457)) % 218.01/218.32 (define @t473 () (forall @t472 @t470)) % 218.01/218.32 (define @t474 () (forall @t472 @t469)) % 218.01/218.32 (define @t475 () (@var "BOUND_VARIABLE_7847" $$unsorted)) % 218.01/218.32 (define @t476 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 218.01/218.32 (define @t477 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 218.01/218.32 (define @t478 () (or @t129 @t474)) % 218.01/218.32 (define @t479 () (not (tptp.member (tptp.ordered_pair @t477 @t476) @t475))) % 218.01/218.32 (define @t480 () (not (tptp.ilf_type @t475 @t42))) % 218.01/218.32 (define @t481 () (and (tptp.member @t477 @t5) (tptp.member @t476 @t1))) % 218.01/218.32 (define @t482 () (not (tptp.ilf_type @t476 tptp.set_type))) % 218.01/218.32 (define @t483 () (not (tptp.ilf_type @t477 tptp.set_type))) % 218.01/218.32 (define @t484 () (or @t143 @t483 @t482 @t481 @t480 @t479)) % 218.01/218.32 (define @t485 () (@list @t1 @t477 @t476 @t475)) % 218.01/218.32 (define @t486 () (forall @t485 @t484)) % 218.01/218.32 (define @t487 () (or @t483 @t482 @t481 @t480 @t479)) % 218.01/218.32 (define @t488 () (or @t143 @t487)) % 218.01/218.32 (define @t489 () (forall @t485 @t488)) % 218.01/218.32 (define @t490 () (@list @t477 @t476 @t475)) % 218.01/218.32 (define @t491 () (forall @t490 @t488)) % 218.01/218.32 (define @t492 () (forall @t490 @t487)) % 218.01/218.32 (define @t493 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 218.01/218.32 (define @t494 () (@var "BOUND_VARIABLE_7820" $$unsorted)) % 218.01/218.32 (define @t495 () (or @t143 @t492)) % 218.01/218.32 (define @t496 () (not (tptp.member (tptp.ordered_pair @t3 @t494) @t493))) % 218.01/218.32 (define @t497 () (not (tptp.ilf_type @t493 @t42))) % 218.01/218.32 (define @t498 () (and @t37 (tptp.member @t494 @t1))) % 218.01/218.32 (define @t499 () (not (tptp.ilf_type @t494 tptp.set_type))) % 218.01/218.32 (define @t500 () (or @t213 @t499 @t498 @t497 @t496)) % 218.01/218.32 (define @t501 () (@list @t3 @t494 @t493)) % 218.01/218.32 (define @t502 () (forall @t501 @t500)) % 218.01/218.32 (define @t503 () (or @t499 @t498 @t497 @t496)) % 218.01/218.32 (define @t504 () (or @t213 @t503)) % 218.01/218.32 (define @t505 () (forall @t501 @t504)) % 218.01/218.32 (define @t506 () (@list @t494 @t493)) % 218.01/218.32 (define @t507 () (forall @t506 @t504)) % 218.01/218.32 (define @t508 () (forall @t506 @t503)) % 218.01/218.32 (define @t509 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 218.01/218.32 (define @t510 () (or @t213 @t508)) % 218.01/218.32 (define @t511 () (not (tptp.member @t4 @t509))) % 218.01/218.32 (define @t512 () (not (tptp.ilf_type @t509 @t42))) % 218.01/218.32 (define @t513 () (or @t169 @t38 @t512 @t511)) % 218.01/218.32 (define @t514 () (@list @t2 @t509)) % 218.01/218.32 (define @t515 () (forall @t514 @t513)) % 218.01/218.32 (define @t516 () (or @t512 @t511)) % 218.01/218.32 (define @t517 () (or @t169 @t38 @t516)) % 218.01/218.32 (define @t518 () (forall @t514 @t517)) % 218.01/218.32 (define @t519 () (@list @t509)) % 218.01/218.32 (define @t520 () (forall @t519 @t517)) % 218.01/218.32 (define @t521 () (forall @t519 @t516)) % 218.01/218.32 (define @t522 () (or @t169 @t38 @t521)) % 218.01/218.32 (define @t523 () (not @t40)) % 218.01/218.32 (define @t524 () (not @t43)) % 218.01/218.32 (define @t525 () (or @t524 @t523)) % 218.01/218.32 (define @t526 () (forall @t44 @t525)) % 218.01/218.32 (define @t527 () (or @t169 @t38 @t526)) % 218.01/218.32 (define @t528 () (or @t38 @t526)) % 218.01/218.32 (define @t529 () (or @t38 @t525)) % 218.01/218.32 (define @t530 () (or @t524 @t523 @t38)) % 218.01/218.32 (define @t531 () (not @t308)) % 218.01/218.32 (define @t532 () (tptp.member @t304 @t181)) % 218.01/218.32 (define @t533 () (and @t532 (tptp.member @t306 @t180))) % 218.01/218.32 (define @t534 () (or @t242 @t244 @t313 @t312 @t533 @t236 @t531)) % 218.01/218.32 (define @t535 () (@var "BOUND_VARIABLE_7999" $$unsorted)) % 218.01/218.32 (define @t536 () (tptp.member @t3 @t535)) % 218.01/218.32 (define @t537 () (not @t37)) % 218.01/218.32 (define @t538 () (tptp.subset @t5 @t535)) % 218.01/218.32 (define @t539 () (@list @t5 @t535)) % 218.01/218.32 (define @t540 () (= @t538 (forall @t12 (or @t213 @t537 @t536)))) % 218.01/218.32 (define @t541 () (not (tptp.ilf_type @t535 tptp.set_type))) % 218.01/218.32 (define @t542 () (or @t129 @t541 @t540)) % 218.01/218.32 (define @t543 () (or @t541 @t540)) % 218.01/218.32 (define @t544 () (or @t129 @t543)) % 218.01/218.32 (define @t545 () (forall @t539 @t544)) % 218.01/218.32 (define @t546 () (@list @t535)) % 218.01/218.32 (define @t547 () (forall @t546 @t544)) % 218.01/218.32 (define @t548 () (forall @t546 @t543)) % 218.01/218.32 (define @t549 () (or @t129 @t548)) % 218.01/218.32 (define @t550 () (or @t213 @t537 @t68)) % 218.01/218.32 (define @t551 () (= @t71 (forall @t12 @t550))) % 218.01/218.32 (define @t552 () (forall @t18 (or @t143 @t551))) % 218.01/218.32 (define @t553 () (forall @t12 (or @t257 (not (tptp.member @t3 @t181)) (tptp.member @t3 @t178)))) % 218.01/218.32 (define @t554 () (= @t237 @t553)) % 218.01/218.32 (define @t555 () (or @t242 @t240 @t554)) % 218.01/218.32 (define @t556 () (not @t532)) % 218.01/218.32 (define @t557 () (or @t313 @t556 @t445)) % 218.01/218.32 (define @t558 () (not @t314)) % 218.01/218.32 (define @t559 () (not @t300)) % 218.01/218.32 (define @t560 () (not @t301)) % 218.01/218.32 (define @t561 () (@list false true false)) % 218.01/218.32 (define @t562 () (@var "BOUND_VARIABLE_8059" $$unsorted)) % 218.01/218.32 (define @t563 () (tptp.restrict @t5 @t562)) % 218.01/218.32 (define @t564 () (@list @t5 @t562)) % 218.01/218.32 (define @t565 () (tptp.ilf_type @t563 tptp.binary_relation_type)) % 218.01/218.32 (define @t566 () (not (tptp.ilf_type @t562 tptp.set_type))) % 218.01/218.32 (define @t567 () (or @t268 @t566 @t565)) % 218.01/218.32 (define @t568 () (or @t566 @t565)) % 218.01/218.32 (define @t569 () (or @t268 @t568)) % 218.01/218.32 (define @t570 () (forall @t564 @t569)) % 218.01/218.32 (define @t571 () (@list @t562)) % 218.01/218.32 (define @t572 () (forall @t571 @t569)) % 218.01/218.32 (define @t573 () (forall @t571 @t568)) % 218.01/218.32 (define @t574 () (or @t268 @t573)) % 218.01/218.32 (define @t575 () (forall @t18 (or @t143 @t77))) % 218.01/218.32 (define @t576 () (_ @t121 @t248 @t260)) % 218.01/218.32 (define @t577 () (or @t298 @t240 @t576)) % 218.01/218.32 (define @t578 () (not @t576)) % 218.01/218.32 (define @t579 () (and @t576 @t249 @t296)) % 218.01/218.32 (assume @p1 @t23) % 218.01/218.32 (assume @p2 @t36) % 218.01/218.32 (assume @p3 @t53) % 218.01/218.32 (assume @p4 @t66) % 218.01/218.32 (assume @p5 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (exists @t12 (tptp.ilf_type @t3 @t67))))))) % 218.01/218.32 (assume @p6 @t76) % 218.01/218.32 (assume @p7 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (tptp.ilf_type @t54 tptp.set_type)))))) % 218.01/218.32 (assume @p8 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (tptp.ilf_type (tptp.ordered_pair @t5 @t1) tptp.set_type)))))) % 218.01/218.32 (assume @p9 @t80) % 218.01/218.32 (assume @p10 @t83) % 218.01/218.32 (assume @p11 (exists @t22 @t20)) % 218.01/218.32 (assume @p12 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (= @t85 (tptp.ilf_type @t1 (tptp.member_type @t84)))))))) % 218.01/218.32 (assume @p13 (forall @t22 (=> @t34 (exists @t18 @t85)))) % 218.01/218.32 (assume @p14 (forall @t22 (=> @t20 (forall @t18 (=> @t16 (=> @t14 (= @t1 @t5))))))) % 218.01/218.32 (assume @p15 (forall @t22 (=> @t20 (= @t5 @t5)))) % 218.01/218.32 (assume @p16 (forall @t22 (=> @t34 (tptp.subset @t5 @t5)))) % 218.01/218.32 (assume @p17 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (= (tptp.member @t5 (tptp.power_set @t1)) @t70)))))) % 218.01/218.32 (assume @p18 (forall @t22 (=> @t34 (and (not (tptp.empty @t84)) (tptp.ilf_type @t84 tptp.set_type))))) % 218.01/218.32 (assume @p19 (forall @t22 (=> @t34 (forall @t18 (=> (and (not (tptp.empty @t1)) @t31) (= (tptp.ilf_type @t5 (tptp.member_type @t1)) (tptp.member @t5 @t1))))))) % 218.01/218.32 (assume @p20 (forall @t22 (=> (and (not @t86) @t34) (exists @t18 (tptp.ilf_type @t1 (tptp.member_type @t5)))))) % 218.01/218.32 (assume @p21 (forall @t22 (=> @t34 (= @t81 (forall @t18 (=> @t31 (=> @t25 (exists @t12 (and @t10 (exists @t8 (and @t7 (= @t1 @t4)))))))))))) % 218.01/218.32 (assume @p22 @t92) % 218.01/218.32 (assume @p23 (forall @t22 (=> @t34 (= @t86 (forall @t18 (=> @t31 (not @t25))))))) % 218.01/218.32 (assume @p24 (forall @t22 (=> (and @t86 @t34) @t81))) % 218.01/218.32 (assume @p25 @t101) % 218.01/218.32 (assume @p26 (forall @t22 (=> @t34 (forall @t18 (=> @t31 (forall @t12 (=> @t59 (forall @t8 (=> @t7 (tptp.ilf_type @t93 @t42)))))))))) % 218.01/218.32 (assume @p27 @t102) % 218.01/218.32 (assume @p28 @t115) % 218.01/218.32 (assume @p29 true) % 218.01/218.32 ; WARNING: add trust step for TRUST % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p30 :rule trust :premises () :args ((= (forall @t125 @t130) (forall @t125 (or @t124 (not (_ @t121 @t118 @t120)) (not (_ @t121 @t117 (_ @t122 @t5 @t118))) (not (_ @t121 @t116 @t120)) @t119))))) % 218.01/218.32 (step @p31 :rule aci_norm :args ((= @t132 @t130))) % 218.01/218.32 (step @p32 :rule cong :premises (@p31) :args (@t133)) % 218.01/218.32 (step @p33 :rule quant-merge-prenex :args ((= (forall @t22 @t135) @t133))) % 218.01/218.32 (step @p34 :rule alpha_equiv :args (@t136 (@list @t118 @t117 @t116) (@list @t1 @t138 @t137))) % 218.01/218.32 (step @p35 :rule refl :args (@t129)) % 218.01/218.32 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t139)) % 218.01/218.32 (step @p37 :rule quant-miniscope-or :args ((= @t135 @t139))) % 218.01/218.32 (step @p38 :rule trans :premises (@p37 @p36)) % 218.01/218.32 (step @p39 :rule symm :premises (@p38)) % 218.01/218.32 (step @p40 :rule cong :premises (@p39) :args ((forall @t22 (or @t129 @t146)))) % 218.01/218.32 (step @p41 :rule trans :premises (@p40 @p33)) % 218.01/218.32 (step @p42 :rule trans :premises (@p41 @p32)) % 218.01/218.32 (step @p43 :rule bool-impl-elim :args (@t34 @t146)) % 218.01/218.32 (step @p44 :rule cong :premises (@p43) :args ((forall @t22 (=> @t34 @t146)))) % 218.01/218.32 (step @p45 :rule trans :premises (@p44 @p42)) % 218.01/218.32 (step @p46 :rule aci_norm :args ((= @t148 @t144))) % 218.01/218.32 (step @p47 :rule cong :premises (@p46) :args (@t149)) % 218.01/218.32 (step @p48 :rule quant-merge-prenex :args ((= (forall @t18 @t151) @t149))) % 218.01/218.32 (step @p49 :rule alpha_equiv :args (@t152 (@list @t138 @t137) (@list @t3 @t153))) % 218.01/218.32 (step @p50 :rule refl :args (@t143)) % 218.01/218.32 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t154)) % 218.01/218.32 (step @p52 :rule quant-miniscope-or :args ((= @t151 @t154))) % 218.01/218.32 (step @p53 :rule trans :premises (@p52 @p51)) % 218.01/218.32 (step @p54 :rule symm :premises (@p53)) % 218.01/218.32 (step @p55 :rule cong :premises (@p54) :args ((forall @t18 (or @t143 @t160)))) % 218.01/218.32 (step @p56 :rule trans :premises (@p55 @p48)) % 218.01/218.32 (step @p57 :rule trans :premises (@p56 @p47)) % 218.01/218.32 (step @p58 :rule bool-impl-elim :args (@t31 @t160)) % 218.01/218.32 (step @p59 :rule cong :premises (@p58) :args ((forall @t18 (=> @t31 @t160)))) % 218.01/218.32 (step @p60 :rule trans :premises (@p59 @p57)) % 218.01/218.32 (step @p61 :rule aci_norm :args ((= @t162 @t158))) % 218.01/218.32 (step @p62 :rule cong :premises (@p61) :args (@t163)) % 218.01/218.32 (step @p63 :rule quant-merge-prenex :args ((= (forall @t12 @t165) @t163))) % 218.01/218.32 (step @p64 :rule alpha_equiv :args (@t166 (@list @t153) @t167)) % 218.01/218.32 (step @p65 :rule refl :args (@t157)) % 218.01/218.32 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t168)) % 218.01/218.32 (step @p67 :rule quant-miniscope-or :args ((= @t165 @t168))) % 218.01/218.32 (step @p68 :rule trans :premises (@p67 @p66)) % 218.01/218.32 (step @p69 :rule symm :premises (@p68)) % 218.01/218.32 (step @p70 :rule cong :premises (@p69) :args ((forall @t12 (or @t157 @t170)))) % 218.01/218.32 (step @p71 :rule trans :premises (@p70 @p63)) % 218.01/218.32 (step @p72 :rule trans :premises (@p71 @p62)) % 218.01/218.32 (step @p73 :rule bool-impl-elim :args (@t59 @t170)) % 218.01/218.32 (step @p74 :rule cong :premises (@p73) :args ((forall @t12 (=> @t59 @t170)))) % 218.01/218.32 (step @p75 :rule trans :premises (@p74 @p72)) % 218.01/218.32 (step @p76 :rule bool-impl-elim :args (@t7 @t94)) % 218.01/218.32 (step @p77 :rule cong :premises (@p76) :args (@t95)) % 218.01/218.32 (step @p78 :rule refl :args (@t59)) % 218.01/218.32 (step @p79 :rule cong :premises (@p78 @p77) :args (@t96)) % 218.01/218.32 (step @p80 :rule cong :premises (@p79) :args (@t97)) % 218.01/218.32 (step @p81 :rule trans :premises (@p80 @p75)) % 218.01/218.32 (step @p82 :rule refl :args (@t31)) % 218.01/218.32 (step @p83 :rule cong :premises (@p82 @p81) :args (@t98)) % 218.01/218.32 (step @p84 :rule cong :premises (@p83) :args (@t99)) % 218.01/218.32 (step @p85 :rule trans :premises (@p84 @p60)) % 218.01/218.32 (step @p86 :rule refl :args (@t34)) % 218.01/218.32 (step @p87 :rule cong :premises (@p86 @p85) :args (@t100)) % 218.01/218.32 (step @p88 :rule cong :premises (@p87) :args (@t101)) % 218.01/218.32 (step @p89 :rule trans :premises (@p88 @p45)) % 218.01/218.32 (step @p90 :rule trans :premises (@p89 @p30)) % 218.01/218.32 (step @p91 :rule eq_resolve :premises (@p25 @p90)) % 218.01/218.32 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t181 @t180 @t179 @t178))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p93 :rule trust :premises () :args ((= (not (forall @t176 @t185)) (not @t177)))) % 218.01/218.32 (step @p94 :rule aci_norm :args ((= @t187 @t185))) % 218.01/218.32 (step @p95 :rule cong :premises (@p94) :args (@t188)) % 218.01/218.32 (step @p96 :rule quant-merge-prenex :args ((= (forall @t22 @t190) @t188))) % 218.01/218.32 (step @p97 :rule alpha_equiv :args (@t191 (@list @t173 @t171 @t172) (@list @t1 @t193 @t192))) % 218.01/218.32 (step @p98 :rule nary_cong :premises (@p35 @p97) :args (@t194)) % 218.01/218.32 (step @p99 :rule quant-miniscope-or :args ((= @t190 @t194))) % 218.01/218.32 (step @p100 :rule trans :premises (@p99 @p98)) % 218.01/218.32 (step @p101 :rule symm :premises (@p100)) % 218.01/218.32 (step @p102 :rule cong :premises (@p101) :args ((forall @t22 (or @t129 @t201)))) % 218.01/218.32 (step @p103 :rule trans :premises (@p102 @p96)) % 218.01/218.32 (step @p104 :rule trans :premises (@p103 @p95)) % 218.01/218.32 (step @p105 :rule bool-impl-elim :args (@t34 @t201)) % 218.01/218.32 (step @p106 :rule cong :premises (@p105) :args ((forall @t22 (=> @t34 @t201)))) % 218.01/218.32 (step @p107 :rule trans :premises (@p106 @p104)) % 218.01/218.32 (step @p108 :rule aci_norm :args ((= @t203 @t199))) % 218.01/218.32 (step @p109 :rule cong :premises (@p108) :args (@t204)) % 218.01/218.32 (step @p110 :rule quant-merge-prenex :args ((= (forall @t18 @t206) @t204))) % 218.01/218.32 (step @p111 :rule alpha_equiv :args (@t207 (@list @t193 @t192) (@list @t3 @t208))) % 218.01/218.32 (step @p112 :rule nary_cong :premises (@p50 @p111) :args (@t209)) % 218.01/218.32 (step @p113 :rule quant-miniscope-or :args ((= @t206 @t209))) % 218.01/218.32 (step @p114 :rule trans :premises (@p113 @p112)) % 218.01/218.32 (step @p115 :rule symm :premises (@p114)) % 218.01/218.32 (step @p116 :rule cong :premises (@p115) :args ((forall @t18 (or @t143 @t216)))) % 218.01/218.32 (step @p117 :rule trans :premises (@p116 @p110)) % 218.01/218.32 (step @p118 :rule trans :premises (@p117 @p109)) % 218.01/218.32 (step @p119 :rule bool-impl-elim :args (@t31 @t216)) % 218.01/218.32 (step @p120 :rule cong :premises (@p119) :args ((forall @t18 (=> @t31 @t216)))) % 218.01/218.32 (step @p121 :rule trans :premises (@p120 @p118)) % 218.01/218.32 (step @p122 :rule aci_norm :args ((= @t218 @t214))) % 218.01/218.32 (step @p123 :rule cong :premises (@p122) :args (@t219)) % 218.01/218.32 (step @p124 :rule quant-merge-prenex :args ((= (forall @t12 @t221) @t219))) % 218.01/218.32 (step @p125 :rule alpha_equiv :args (@t222 (@list @t208) @t167)) % 218.01/218.32 (step @p126 :rule refl :args (@t212)) % 218.01/218.32 (step @p127 :rule refl :args (@t213)) % 218.01/218.32 (step @p128 :rule nary_cong :premises (@p127 @p126 @p125) :args (@t223)) % 218.01/218.32 (step @p129 :rule quant-miniscope-or :args ((= @t221 @t223))) % 218.01/218.32 (step @p130 :rule trans :premises (@p129 @p128)) % 218.01/218.32 (step @p131 :rule symm :premises (@p130)) % 218.01/218.32 (step @p132 :rule cong :premises (@p131) :args ((forall @t12 @t228))) % 218.01/218.32 (step @p133 :rule trans :premises (@p132 @p124)) % 218.01/218.32 (step @p134 :rule trans :premises (@p133 @p123)) % 218.01/218.32 (step @p135 :rule aci_norm :args ((= (or @t213 @t229) @t228))) % 218.01/218.32 (step @p136 :rule bool-impl-elim :args (@t10 @t229)) % 218.01/218.32 (step @p137 :rule trans :premises (@p136 @p135)) % 218.01/218.32 (step @p138 :rule cong :premises (@p137) :args ((forall @t12 (=> @t10 @t229)))) % 218.01/218.32 (step @p139 :rule trans :premises (@p138 @p134)) % 218.01/218.32 (step @p140 :rule quant-miniscope-or :args ((= (forall @t8 @t230) @t229))) % 218.01/218.32 (step @p141 :rule aci_norm :args ((= @t231 @t230))) % 218.01/218.32 (step @p142 :rule cong :premises (@p141) :args ((forall @t8 @t231))) % 218.01/218.32 (step @p143 :rule trans :premises (@p142 @p140)) % 218.01/218.32 (step @p144 :rule aci_norm :args ((= (or @t225 (or @t212 @t224)) @t231))) % 218.01/218.32 (step @p145 :rule bool-impl-elim :args (@t104 @t224)) % 218.01/218.32 (step @p146 :rule refl :args (@t225)) % 218.01/218.32 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t225 @t232))) % 218.01/218.32 (step @p148 :rule trans :premises (@p147 @p144)) % 218.01/218.32 (step @p149 :rule bool-impl-elim :args (@t106 @t232)) % 218.01/218.32 (step @p150 :rule trans :premises (@p149 @p148)) % 218.01/218.32 (step @p151 :rule cong :premises (@p150) :args ((forall @t8 (=> @t106 @t232)))) % 218.01/218.32 (step @p152 :rule trans :premises (@p151 @p143)) % 218.01/218.32 (step @p153 :rule eq-symm :args (@t103 @t2)) % 218.01/218.32 (step @p154 :rule refl :args (@t104)) % 218.01/218.32 (step @p155 :rule cong :premises (@p154 @p153) :args (@t105)) % 218.01/218.32 (step @p156 :rule refl :args (@t106)) % 218.01/218.32 (step @p157 :rule cong :premises (@p156 @p155) :args (@t107)) % 218.01/218.32 (step @p158 :rule cong :premises (@p157) :args (@t108)) % 218.01/218.32 (step @p159 :rule trans :premises (@p158 @p152)) % 218.01/218.32 (step @p160 :rule refl :args (@t10)) % 218.01/218.32 (step @p161 :rule cong :premises (@p160 @p159) :args (@t109)) % 218.01/218.32 (step @p162 :rule cong :premises (@p161) :args (@t110)) % 218.01/218.32 (step @p163 :rule trans :premises (@p162 @p139)) % 218.01/218.32 (step @p164 :rule cong :premises (@p82 @p163) :args (@t111)) % 218.01/218.32 (step @p165 :rule cong :premises (@p164) :args (@t112)) % 218.01/218.32 (step @p166 :rule trans :premises (@p165 @p121)) % 218.01/218.32 (step @p167 :rule cong :premises (@p86 @p166) :args (@t113)) % 218.01/218.32 (step @p168 :rule cong :premises (@p167) :args (@t114)) % 218.01/218.32 (step @p169 :rule trans :premises (@p168 @p107)) % 218.01/218.32 (step @p170 :rule cong :premises (@p169) :args (@t115)) % 218.01/218.32 (step @p171 :rule trans :premises (@p170 @p93)) % 218.01/218.32 (step @p172 :rule eq_resolve :premises (@p28 @p171)) % 218.01/218.32 (step @p173 :rule skolemize :premises (@p172)) % 218.01/218.32 (step @p174 :rule bool-double-not-elim :args (@t233)) % 218.01/218.32 (step @p175 :rule refl :args (@t245)) % 218.01/218.32 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t245 (not @t236)))) % 218.01/218.32 (step @p177 :rule cnf_or_neg :args (@t245 4)) % 218.01/218.32 (step @p178 :rule eq_resolve :premises (@p177 @p176)) % 218.01/218.32 (step @p179 :rule reordering :premises (@p178) :args ((or @t233 @t245))) % 218.01/218.32 (step @p180 :rule chain_m_resolution :premises (@p179 @p173) :args (@t233 @t246 @t247)) % 218.01/218.32 (step @p181 :rule bool-double-not-elim :args (@t239)) % 218.01/218.32 (step @p182 :rule nary_cong :premises (@p175 @p181) :args ((or @t245 (not @t240)))) % 218.01/218.32 (step @p183 :rule cnf_or_neg :args (@t245 2)) % 218.01/218.32 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 218.01/218.32 (step @p185 :rule reordering :premises (@p184) :args ((or @t239 @t245))) % 218.01/218.32 (step @p186 :rule chain_m_resolution :premises (@p185 @p173) :args (@t239 @t246 @t247)) % 218.01/218.32 (step @p187 :rule bool-double-not-elim :args (@t241)) % 218.01/218.32 (step @p188 :rule nary_cong :premises (@p175 @p187) :args ((or @t245 (not @t242)))) % 218.01/218.32 (step @p189 :rule cnf_or_neg :args (@t245 1)) % 218.01/218.32 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 218.01/218.32 (step @p191 :rule reordering :premises (@p190) :args ((or @t241 @t245))) % 218.01/218.32 (step @p192 :rule chain_m_resolution :premises (@p191 @p173) :args (@t241 @t246 @t247)) % 218.01/218.32 (step @p193 :rule bool-double-not-elim :args (@t243)) % 218.01/218.32 (step @p194 :rule nary_cong :premises (@p175 @p193) :args ((or @t245 (not @t244)))) % 218.01/218.32 (step @p195 :rule cnf_or_neg :args (@t245 0)) % 218.01/218.32 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 218.01/218.32 (step @p197 :rule reordering :premises (@p196) :args ((or @t243 @t245))) % 218.01/218.32 (step @p198 :rule chain_m_resolution :premises (@p197 @p173) :args (@t243 @t246 @t247)) % 218.01/218.32 (step @p199 :rule cnf_or_pos :args (@t250)) % 218.01/218.32 (step @p200 :rule reordering :premises (@p199) :args ((or @t244 @t242 @t240 @t236 @t249 (not @t250)))) % 218.01/218.32 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p192 @p186 @p180 @p92) :args (@t249 (@list false false false false false) (@list @t243 @t241 @t239 @t233 @t250))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p202 :rule trust :premises () :args ((= (forall @t263 @t269) @t264))) % 218.01/218.32 (step @p203 :rule aci_norm :args ((= @t271 @t269))) % 218.01/218.32 (step @p204 :rule cong :premises (@p203) :args (@t272)) % 218.01/218.32 (step @p205 :rule quant-merge-prenex :args ((= (forall @t22 @t274) @t272))) % 218.01/218.32 (step @p206 :rule alpha_equiv :args (@t275 (@list @t251) @t276)) % 218.01/218.32 (step @p207 :rule refl :args (@t268)) % 218.01/218.32 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t277)) % 218.01/218.32 (step @p209 :rule quant-miniscope-or :args ((= @t274 @t277))) % 218.01/218.32 (step @p210 :rule trans :premises (@p209 @p208)) % 218.01/218.32 (step @p211 :rule symm :premises (@p210)) % 218.01/218.32 (step @p212 :rule cong :premises (@p211) :args ((forall @t22 (or @t268 @t281)))) % 218.01/218.32 (step @p213 :rule trans :premises (@p212 @p205)) % 218.01/218.32 (step @p214 :rule trans :premises (@p213 @p204)) % 218.01/218.32 (step @p215 :rule bool-impl-elim :args (@t20 @t281)) % 218.01/218.32 (step @p216 :rule cong :premises (@p215) :args ((forall @t22 (=> @t20 @t281)))) % 218.01/218.32 (step @p217 :rule trans :premises (@p216 @p214)) % 218.01/218.32 (step @p218 :rule bool-impl-elim :args (@t16 @t280)) % 218.01/218.32 (step @p219 :rule cong :premises (@p218) :args ((forall @t18 (=> @t16 @t280)))) % 218.01/218.32 (step @p220 :rule aci_norm :args ((= @t283 @t279))) % 218.01/218.32 (step @p221 :rule cong :premises (@p220) :args (@t284)) % 218.01/218.32 (step @p222 :rule quant-merge-prenex :args ((= (forall @t12 @t286) @t284))) % 218.01/218.32 (step @p223 :rule alpha_equiv :args (@t287 (@list @t252) @t167)) % 218.01/218.32 (step @p224 :rule nary_cong :premises (@p127 @p223) :args (@t288)) % 218.01/218.32 (step @p225 :rule quant-miniscope-or :args ((= @t286 @t288))) % 218.01/218.32 (step @p226 :rule trans :premises (@p225 @p224)) % 218.01/218.32 (step @p227 :rule symm :premises (@p226)) % 218.01/218.32 (step @p228 :rule cong :premises (@p227) :args ((forall @t12 (or @t213 @t289)))) % 218.01/218.32 (step @p229 :rule trans :premises (@p228 @p222)) % 218.01/218.32 (step @p230 :rule trans :premises (@p229 @p221)) % 218.01/218.32 (step @p231 :rule bool-impl-elim :args (@t10 @t289)) % 218.01/218.32 (step @p232 :rule cong :premises (@p231) :args ((forall @t12 (=> @t10 @t289)))) % 218.01/218.32 (step @p233 :rule trans :premises (@p232 @p230)) % 218.01/218.32 (step @p234 :rule bool-impl-elim :args (@t7 @t6)) % 218.01/218.32 (step @p235 :rule cong :premises (@p234) :args (@t9)) % 218.01/218.32 (step @p236 :rule cong :premises (@p160 @p235) :args (@t11)) % 218.01/218.32 (step @p237 :rule cong :premises (@p236) :args (@t13)) % 218.01/218.32 (step @p238 :rule trans :premises (@p237 @p233)) % 218.01/218.32 (step @p239 :rule refl :args (@t14)) % 218.01/218.32 (step @p240 :rule cong :premises (@p239 @p238) :args (@t15)) % 218.01/218.32 (step @p241 :rule refl :args (@t16)) % 218.01/218.32 (step @p242 :rule cong :premises (@p241 @p240) :args (@t17)) % 218.01/218.32 (step @p243 :rule cong :premises (@p242) :args (@t19)) % 218.01/218.32 (step @p244 :rule trans :premises (@p243 @p219)) % 218.01/218.32 (step @p245 :rule refl :args (@t20)) % 218.01/218.32 (step @p246 :rule cong :premises (@p245 @p244) :args (@t21)) % 218.01/218.32 (step @p247 :rule cong :premises (@p246) :args (@t23)) % 218.01/218.32 (step @p248 :rule trans :premises (@p247 @p217)) % 218.01/218.32 (step @p249 :rule trans :premises (@p248 @p202)) % 218.01/218.32 (step @p250 :rule eq_resolve :premises (@p1 @p249)) % 218.01/218.32 (step @p251 :rule eq-symm :args (@t290 @t291)) % 218.01/218.32 (step @p252 :rule refl :args (@t256)) % 218.01/218.32 (step @p253 :rule refl :args (@t257)) % 218.01/218.32 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251) :args (@t292)) % 218.01/218.32 (step @p255 :rule cong :premises (@p254) :args (@t293)) % 218.01/218.32 (step @p256 :rule refl :args (@t235)) % 218.01/218.32 (step @p257 :rule cong :premises (@p256 @p255) :args (@t294)) % 218.01/218.32 (step @p258 :rule refl :args (@t296)) % 218.01/218.32 (step @p259 :rule refl :args (@t298)) % 218.01/218.32 (step @p260 :rule nary_cong :premises (@p259 @p258 @p257) :args (@t299)) % 218.01/218.32 (step @p261 :rule refl :args (@t264)) % 218.01/218.32 (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t264 @t299))) % 218.01/218.32 (assume-push @p735 @t264) % 218.01/218.32 (step @p264 :rule instantiate :premises (@p250) :args ((@list @t179 @t234))) % 218.01/218.32 (step-pop @p736 :rule scope :premises (@p264)) % 218.01/218.32 (step @p265 :rule process_scope :premises (@p736) :args (@t299)) % 218.01/218.32 (step @p267 :rule eq_resolve :premises (@p265 @p262)) % 218.01/218.32 (step @p268 :rule implies_elim :premises (@p267)) % 218.01/218.32 (step @p269 :rule chain_m_resolution :premises (@p268 @p250) :args (@t302 @t303 (@list @t264))) % 218.01/218.32 (step @p270 :rule bool-double-not-elim :args (@t305)) % 218.01/218.32 (step @p271 :rule refl :args (@t314)) % 218.01/218.32 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t314 (not @t313)))) % 218.01/218.32 (step @p273 :rule cnf_or_neg :args (@t314 0)) % 218.01/218.32 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 218.01/218.32 (step @p275 :rule reordering :premises (@p274) :args ((or @t305 @t314))) % 218.01/218.32 (step @p276 :rule bool-double-not-elim :args (@t311)) % 218.01/218.32 (step @p277 :rule nary_cong :premises (@p271 @p276) :args ((or @t314 (not @t312)))) % 218.01/218.32 (step @p278 :rule cnf_or_neg :args (@t314 1)) % 218.01/218.32 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 218.01/218.32 (step @p280 :rule reordering :premises (@p279) :args ((or @t311 @t314))) % 218.01/218.32 (step @p281 :rule cnf_or_neg :args (@t314 2)) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p282 :rule trust :premises () :args ((= (forall @t22 (or @t129 @t82)) (forall @t22 (or @t124 (= @t261 (and @t81 @t123))))))) % 218.01/218.32 (step @p283 :rule bool-impl-elim :args (@t34 @t82)) % 218.01/218.32 (step @p284 :rule cong :premises (@p283) :args (@t83)) % 218.01/218.32 (step @p285 :rule trans :premises (@p284 @p282)) % 218.01/218.32 (step @p286 :rule eq_resolve :premises (@p10 @p285)) % 218.01/218.32 (step @p287 :rule instantiate :premises (@p286) :args (@t315)) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p288 :rule trust :premises () :args ((= @t102 (forall @t22 @t123)))) % 218.01/218.32 (step @p289 :rule eq_resolve :premises (@p27 @p288)) % 218.01/218.32 (step @p290 :rule instantiate :premises (@p289) :args (@t315)) % 218.01/218.32 (step @p291 :rule cnf_or_pos :args (@t321)) % 218.01/218.32 (step @p292 :rule reordering :premises (@p291) :args ((or @t320 @t319 (not @t321)))) % 218.01/218.32 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p287) :args (@t319 @t322 (@list @t316 @t321))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p294 :rule trust :premises () :args ((= (forall @t328 @t331) (forall @t328 (or @t124 (not (_ @t121 @t325 @t120)) (not (_ @t121 @t323 (_ @t327 @t326))) @t324))))) % 218.01/218.32 (step @p295 :rule aci_norm :args ((= @t333 @t331))) % 218.01/218.32 (step @p296 :rule cong :premises (@p295) :args (@t334)) % 218.01/218.32 (step @p297 :rule quant-merge-prenex :args ((= (forall @t22 @t336) @t334))) % 218.01/218.32 (step @p298 :rule alpha_equiv :args (@t337 (@list @t325 @t323) (@list @t1 @t338))) % 218.01/218.32 (step @p299 :rule nary_cong :premises (@p35 @p298) :args (@t339)) % 218.01/218.32 (step @p300 :rule quant-miniscope-or :args ((= @t336 @t339))) % 218.01/218.32 (step @p301 :rule trans :premises (@p300 @p299)) % 218.01/218.32 (step @p302 :rule symm :premises (@p301)) % 218.01/218.32 (step @p303 :rule cong :premises (@p302) :args ((forall @t22 (or @t129 @t344)))) % 218.01/218.32 (step @p304 :rule trans :premises (@p303 @p297)) % 218.01/218.32 (step @p305 :rule trans :premises (@p304 @p296)) % 218.01/218.32 (step @p306 :rule bool-impl-elim :args (@t34 @t344)) % 218.01/218.32 (step @p307 :rule cong :premises (@p306) :args ((forall @t22 (=> @t34 @t344)))) % 218.01/218.32 (step @p308 :rule trans :premises (@p307 @p305)) % 218.01/218.32 (step @p309 :rule aci_norm :args ((= @t346 @t342))) % 218.01/218.32 (step @p310 :rule cong :premises (@p309) :args (@t347)) % 218.01/218.32 (step @p311 :rule quant-merge-prenex :args ((= (forall @t18 @t349) @t347))) % 218.01/218.32 (step @p312 :rule alpha_equiv :args (@t350 (@list @t338) @t351)) % 218.01/218.32 (step @p313 :rule nary_cong :premises (@p50 @p312) :args (@t352)) % 218.01/218.32 (step @p314 :rule quant-miniscope-or :args ((= @t349 @t352))) % 218.01/218.32 (step @p315 :rule trans :premises (@p314 @p313)) % 218.01/218.32 (step @p316 :rule symm :premises (@p315)) % 218.01/218.32 (step @p317 :rule cong :premises (@p316) :args ((forall @t18 (or @t143 @t354)))) % 218.01/218.32 (step @p318 :rule trans :premises (@p317 @p311)) % 218.01/218.32 (step @p319 :rule trans :premises (@p318 @p310)) % 218.01/218.32 (step @p320 :rule bool-impl-elim :args (@t31 @t354)) % 218.01/218.32 (step @p321 :rule cong :premises (@p320) :args ((forall @t18 (=> @t31 @t354)))) % 218.01/218.32 (step @p322 :rule trans :premises (@p321 @p319)) % 218.01/218.32 (step @p323 :rule bool-impl-elim :args (@t60 @t87)) % 218.01/218.32 (step @p324 :rule cong :premises (@p323) :args (@t88)) % 218.01/218.32 (step @p325 :rule cong :premises (@p82 @p324) :args (@t89)) % 218.01/218.32 (step @p326 :rule cong :premises (@p325) :args (@t90)) % 218.01/218.32 (step @p327 :rule trans :premises (@p326 @p322)) % 218.01/218.32 (step @p328 :rule cong :premises (@p86 @p327) :args (@t91)) % 218.01/218.32 (step @p329 :rule cong :premises (@p328) :args (@t92)) % 218.01/218.32 (step @p330 :rule trans :premises (@p329 @p308)) % 218.01/218.32 (step @p331 :rule trans :premises (@p330 @p294)) % 218.01/218.32 (step @p332 :rule eq_resolve :premises (@p22 @p331)) % 218.01/218.32 (step @p333 :rule instantiate :premises (@p332) :args ((@list @t181 @t180 @t179))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p334 :rule trust :premises () :args ((= (forall @t361 @t366) (forall @t361 (or @t124 (not (_ @t121 @t355 @t120)) (and (or (not (_ @t121 @t360 @t357)) (_ @t121 @t360 @t359)) (or (not (_ @t121 @t358 @t359)) (_ @t121 @t358 @t357)))))))) % 218.01/218.32 (step @p335 :rule aci_norm :args ((= @t368 @t366))) % 218.01/218.32 (step @p336 :rule cong :premises (@p335) :args (@t369)) % 218.01/218.32 (step @p337 :rule quant-merge-prenex :args ((= (forall @t22 @t371) @t369))) % 218.01/218.32 (step @p338 :rule alpha_equiv :args (@t372 (@list @t355 @t360 @t358) (@list @t1 @t374 @t373))) % 218.01/218.32 (step @p339 :rule nary_cong :premises (@p35 @p338) :args (@t375)) % 218.01/218.32 (step @p340 :rule quant-miniscope-or :args ((= @t371 @t375))) % 218.01/218.32 (step @p341 :rule trans :premises (@p340 @p339)) % 218.01/218.32 (step @p342 :rule symm :premises (@p341)) % 218.01/218.32 (step @p343 :rule cong :premises (@p342) :args ((forall @t22 (or @t129 @t380)))) % 218.01/218.32 (step @p344 :rule trans :premises (@p343 @p337)) % 218.01/218.32 (step @p345 :rule trans :premises (@p344 @p336)) % 218.01/218.32 (step @p346 :rule bool-impl-elim :args (@t34 @t380)) % 218.01/218.32 (step @p347 :rule cong :premises (@p346) :args ((forall @t22 (=> @t34 @t380)))) % 218.01/218.32 (step @p348 :rule trans :premises (@p347 @p345)) % 218.01/218.32 (step @p349 :rule quant-merge-prenex :args ((= (forall @t18 @t382) @t380))) % 218.01/218.32 (step @p350 :rule alpha_equiv :args (@t383 (@list @t373) @t167)) % 218.01/218.32 (step @p351 :rule quant-unused-vars :args ((= @t384 @t383))) % 218.01/218.32 (step @p352 :rule trans :premises (@p351 @p350)) % 218.01/218.32 (step @p353 :rule alpha_equiv :args (@t385 (@list @t374) @t351)) % 218.01/218.32 (step @p354 :rule quant-unused-vars :args ((= @t386 @t385))) % 218.01/218.32 (step @p355 :rule trans :premises (@p354 @p353)) % 218.01/218.32 (step @p356 :rule nary_cong :premises (@p355 @p352) :args (@t387)) % 218.01/218.32 (step @p357 :rule quant-miniscope-and :args ((= @t388 @t387))) % 218.01/218.32 (step @p358 :rule trans :premises (@p357 @p356)) % 218.01/218.32 (step @p359 :rule nary_cong :premises (@p50 @p358) :args (@t389)) % 218.01/218.32 (step @p360 :rule quant-miniscope-or :args ((= @t382 @t389))) % 218.01/218.32 (step @p361 :rule trans :premises (@p360 @p359)) % 218.01/218.32 (step @p362 :rule symm :premises (@p361)) % 218.01/218.32 (step @p363 :rule cong :premises (@p362) :args ((forall @t18 (or @t143 @t390)))) % 218.01/218.32 (step @p364 :rule trans :premises (@p363 @p349)) % 218.01/218.32 (step @p365 :rule bool-impl-elim :args (@t31 @t390)) % 218.01/218.32 (step @p366 :rule cong :premises (@p365) :args ((forall @t18 (=> @t31 @t390)))) % 218.01/218.32 (step @p367 :rule trans :premises (@p366 @p364)) % 218.01/218.32 (step @p368 :rule bool-impl-elim :args (@t57 @t56)) % 218.01/218.32 (step @p369 :rule cong :premises (@p368) :args (@t58)) % 218.01/218.32 (step @p370 :rule bool-impl-elim :args (@t60 @t59)) % 218.01/218.32 (step @p371 :rule cong :premises (@p370) :args (@t61)) % 218.01/218.32 (step @p372 :rule nary_cong :premises (@p371 @p369) :args (@t62)) % 218.01/218.32 (step @p373 :rule cong :premises (@p82 @p372) :args (@t63)) % 218.01/218.32 (step @p374 :rule cong :premises (@p373) :args (@t64)) % 218.01/218.32 (step @p375 :rule trans :premises (@p374 @p367)) % 218.01/218.32 (step @p376 :rule cong :premises (@p86 @p375) :args (@t65)) % 218.01/218.32 (step @p377 :rule cong :premises (@p376) :args (@t66)) % 218.01/218.32 (step @p378 :rule trans :premises (@p377 @p348)) % 218.01/218.32 (step @p379 :rule trans :premises (@p378 @p334)) % 218.01/218.32 (step @p380 :rule eq_resolve :premises (@p4 @p379)) % 218.01/218.32 (step @p381 :rule instantiate :premises (@p380) :args ((@list @t181 @t180 @t179 @t179))) % 218.01/218.32 (step @p382 :rule cnf_or_pos :args (@t395)) % 218.01/218.32 (step @p383 :rule reordering :premises (@p382) :args ((or @t244 @t242 @t394 (not @t395)))) % 218.01/218.32 (step @p384 :rule chain_m_resolution :premises (@p383 @p198 @p192 @p381) :args (@t394 @t396 (@list @t243 @t241 @t395))) % 218.01/218.32 (step @p385 :rule cnf_and_pos :args (@t394 1)) % 218.01/218.32 (step @p386 :rule reordering :premises (@p385) :args ((or @t392 (not @t394)))) % 218.01/218.32 (step @p387 :rule chain_m_resolution :premises (@p386 @p384) :args (@t392 @t303 (@list @t394))) % 218.01/218.32 (step @p388 :rule cnf_or_pos :args (@t392)) % 218.01/218.32 (step @p389 :rule reordering :premises (@p388) :args ((or @t236 @t391 (not @t392)))) % 218.01/218.32 (step @p390 :rule chain_m_resolution :premises (@p389 @p180 @p387) :args (@t391 @t322 (@list @t233 @t392))) % 218.01/218.32 (step @p391 :rule cnf_or_pos :args (@t397)) % 218.01/218.32 (step @p392 :rule reordering :premises (@p391) :args ((or @t244 @t242 @t317 @t393 (not @t397)))) % 218.01/218.32 (step @p393 :rule chain_m_resolution :premises (@p392 @p198 @p192 @p390 @p333) :args (@t317 (@list false false false false) (@list @t243 @t241 @t391 @t397))) % 218.01/218.32 (step @p394 :rule cnf_and_neg :args (@t318)) % 218.01/218.32 (step @p395 :rule reordering :premises (@p394) :args ((or @t320 @t318 (not @t317)))) % 218.01/218.32 (step @p396 :rule chain_m_resolution :premises (@p395 @p290 @p393) :args (@t318 @t322 (@list @t316 @t317))) % 218.01/218.32 (step @p397 :rule cnf_equiv_pos2 :args (@t319)) % 218.01/218.32 (step @p398 :rule reordering :premises (@p397) :args ((or @t297 (not @t318) (not @t319)))) % 218.01/218.32 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p293) :args (@t297 @t322 (@list @t318 @t319))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p400 :rule trust :premises () :args ((= (forall @t403 @t407) (forall @t403 (or @t124 (not (_ @t121 @t400 @t120)) (not (_ @t121 @t399 @t120)) (not (_ @t121 @t398 @t260)) @t402))))) % 218.01/218.32 (step @p401 :rule aci_norm :args ((= @t409 @t407))) % 218.01/218.32 (step @p402 :rule cong :premises (@p401) :args (@t410)) % 218.01/218.32 (step @p403 :rule quant-merge-prenex :args ((= (forall @t22 @t412) @t410))) % 218.01/218.32 (step @p404 :rule alpha_equiv :args (@t413 (@list @t400 @t399 @t398) (@list @t1 @t415 @t414))) % 218.01/218.32 (step @p405 :rule nary_cong :premises (@p35 @p404) :args (@t416)) % 218.01/218.32 (step @p406 :rule quant-miniscope-or :args ((= @t412 @t416))) % 218.01/218.32 (step @p407 :rule trans :premises (@p406 @p405)) % 218.01/218.32 (step @p408 :rule symm :premises (@p407)) % 218.01/218.32 (step @p409 :rule cong :premises (@p408) :args ((forall @t22 (or @t129 @t423)))) % 218.01/218.32 (step @p410 :rule trans :premises (@p409 @p403)) % 218.01/218.32 (step @p411 :rule trans :premises (@p410 @p402)) % 218.01/218.32 (step @p412 :rule bool-impl-elim :args (@t34 @t423)) % 218.01/218.32 (step @p413 :rule cong :premises (@p412) :args ((forall @t22 (=> @t34 @t423)))) % 218.01/218.32 (step @p414 :rule trans :premises (@p413 @p411)) % 218.01/218.32 (step @p415 :rule aci_norm :args ((= @t425 @t421))) % 218.01/218.32 (step @p416 :rule cong :premises (@p415) :args (@t426)) % 218.01/218.32 (step @p417 :rule quant-merge-prenex :args ((= (forall @t18 @t428) @t426))) % 218.01/218.32 (step @p418 :rule alpha_equiv :args (@t429 (@list @t415 @t414) (@list @t3 @t430))) % 218.01/218.32 (step @p419 :rule nary_cong :premises (@p50 @p418) :args (@t431)) % 218.01/218.32 (step @p420 :rule quant-miniscope-or :args ((= @t428 @t431))) % 218.01/218.32 (step @p421 :rule trans :premises (@p420 @p419)) % 218.01/218.32 (step @p422 :rule symm :premises (@p421)) % 218.01/218.32 (step @p423 :rule cong :premises (@p422) :args ((forall @t18 (or @t143 @t436)))) % 218.01/218.32 (step @p424 :rule trans :premises (@p423 @p417)) % 218.01/218.32 (step @p425 :rule trans :premises (@p424 @p416)) % 218.01/218.32 (step @p426 :rule bool-impl-elim :args (@t31 @t436)) % 218.01/218.32 (step @p427 :rule cong :premises (@p426) :args ((forall @t18 (=> @t31 @t436)))) % 218.01/218.32 (step @p428 :rule trans :premises (@p427 @p425)) % 218.01/218.32 (step @p429 :rule aci_norm :args ((= @t438 @t434))) % 218.01/218.32 (step @p430 :rule cong :premises (@p429) :args (@t439)) % 218.01/218.32 (step @p431 :rule quant-merge-prenex :args ((= (forall @t12 @t441) @t439))) % 218.01/218.32 (step @p432 :rule alpha_equiv :args (@t442 (@list @t430) @t167)) % 218.01/218.32 (step @p433 :rule nary_cong :premises (@p127 @p432) :args (@t443)) % 218.01/218.32 (step @p434 :rule quant-miniscope-or :args ((= @t441 @t443))) % 218.01/218.32 (step @p435 :rule trans :premises (@p434 @p433)) % 218.01/218.32 (step @p436 :rule symm :premises (@p435)) % 218.01/218.32 (step @p437 :rule cong :premises (@p436) :args ((forall @t12 (or @t213 @t444)))) % 218.01/218.32 (step @p438 :rule trans :premises (@p437 @p431)) % 218.01/218.32 (step @p439 :rule trans :premises (@p438 @p430)) % 218.01/218.32 (step @p440 :rule bool-impl-elim :args (@t10 @t444)) % 218.01/218.32 (step @p441 :rule cong :premises (@p440) :args ((forall @t12 (=> @t10 @t444)))) % 218.01/218.32 (step @p442 :rule trans :premises (@p441 @p439)) % 218.01/218.32 (step @p443 :rule bool-impl-elim :args (@t27 @t26)) % 218.01/218.32 (step @p444 :rule cong :premises (@p443) :args (@t28)) % 218.01/218.32 (step @p445 :rule cong :premises (@p160 @p444) :args (@t29)) % 218.01/218.32 (step @p446 :rule cong :premises (@p445) :args (@t30)) % 218.01/218.32 (step @p447 :rule trans :premises (@p446 @p442)) % 218.01/218.32 (step @p448 :rule cong :premises (@p82 @p447) :args (@t32)) % 218.01/218.32 (step @p449 :rule cong :premises (@p448) :args (@t33)) % 218.01/218.32 (step @p450 :rule trans :premises (@p449 @p428)) % 218.01/218.32 (step @p451 :rule cong :premises (@p86 @p450) :args (@t35)) % 218.01/218.32 (step @p452 :rule cong :premises (@p451) :args (@t36)) % 218.01/218.32 (step @p453 :rule trans :premises (@p452 @p414)) % 218.01/218.32 (step @p454 :rule trans :premises (@p453 @p400)) % 218.01/218.32 (step @p455 :rule eq_resolve :premises (@p2 @p454)) % 218.01/218.32 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t178 @t304 @t306 @t179))) % 218.01/218.32 (step @p457 :rule cnf_or_pos :args (@t449)) % 218.01/218.32 (step @p458 :rule reordering :premises (@p457) :args ((or @t240 @t298 @t313 @t312 @t448 (not @t449)))) % 218.01/218.32 (step @p459 :rule cnf_equiv_neg2 :args (@t310)) % 218.01/218.32 (step @p460 :rule cnf_and_pos :args (@t446 1)) % 218.01/218.32 (step @p461 :rule reordering :premises (@p460) :args ((or @t308 @t450))) % 218.01/218.32 (step @p462 :rule cnf_equiv_pos1 :args (@t448)) % 218.01/218.32 (step @p463 :rule reordering :premises (@p462) :args ((or @t446 @t452 @t451))) % 218.01/218.32 (assume-push @p737 @t249) % 218.01/218.32 (assume-push @p738 @t309) % 218.01/218.32 (assume-push @p739 @t309) % 218.01/218.32 (assume-push @p740 @t249) % 218.01/218.32 (step @p468 :rule true_intro :premises (@p738)) % 218.01/218.32 (step @p469 :rule symm :premises (@p201)) % 218.01/218.32 (step @p470 :rule refl :args (@t307)) % 218.01/218.32 (step @p471 :rule cong :premises (@p470 @p469) :args (@t447)) % 218.01/218.32 (step @p472 :rule trans :premises (@p471 @p468)) % 218.01/218.32 (step @p473 :rule true_elim :premises (@p472)) % 218.01/218.32 (step-pop @p741 :rule scope :premises (@p473)) % 218.01/218.32 (step-pop @p742 :rule scope :premises (@p741)) % 218.01/218.32 (step @p474 :rule process_scope :premises (@p742) :args (@t447)) % 218.01/218.32 (step @p477 :rule and_intro :premises (@p738 @p201)) % 218.01/218.32 (step @p478 :rule modus_ponens :premises (@p477 @p474)) % 218.01/218.32 (step-pop @p743 :rule scope :premises (@p478)) % 218.01/218.32 (step-pop @p744 :rule scope :premises (@p743)) % 218.01/218.32 (step @p479 :rule process_scope :premises (@p744) :args (@t447)) % 218.01/218.32 (step @p482 :rule implies_elim :premises (@p479)) % 218.01/218.32 (step @p483 :rule cnf_and_neg :args (@t453)) % 218.01/218.32 (step @p484 :rule resolution :premises (@p483 @p482) :args (true @t453)) % 218.01/218.32 (step @p485 :rule chain_m_resolution :premises (@p484 @p201 @p463 @p461 @p459) :args ((or @t310 @t454 @t451) (@list false true true true) (@list @t249 @t447 @t446 @t308))) % 218.01/218.32 (step @p486 :rule cnf_equiv_neg1 :args (@t310)) % 218.01/218.32 (step @p487 :rule reordering :premises (@p486) :args ((or @t309 @t308 @t310))) % 218.01/218.32 (step @p488 :rule refl :args (@t452)) % 218.01/218.32 (step @p489 :rule bool-double-not-elim :args (@t309)) % 218.01/218.32 (step @p490 :rule refl :args (@t455)) % 218.01/218.32 (step @p491 :rule nary_cong :premises (@p490 @p489 @p488) :args ((or @t455 (not @t454) @t452))) % 218.01/218.32 (assume-push @p745 @t249) % 218.01/218.32 (assume-push @p746 @t454) % 218.01/218.32 (assume-push @p747 @t454) % 218.01/218.32 (assume-push @p748 @t249) % 218.01/218.32 (step @p496 :rule false_intro :premises (@p746)) % 218.01/218.32 (step @p469 :rule symm :premises (@p201)) % 218.01/218.32 (step @p470 :rule refl :args (@t307)) % 218.01/218.32 (step @p471 :rule cong :premises (@p470 @p469) :args (@t447)) % 218.01/218.32 (step @p497 :rule trans :premises (@p471 @p496)) % 218.01/218.32 (step @p498 :rule false_elim :premises (@p497)) % 218.01/218.32 (step-pop @p749 :rule scope :premises (@p498)) % 218.01/218.32 (step-pop @p750 :rule scope :premises (@p749)) % 218.01/218.32 (step @p499 :rule process_scope :premises (@p750) :args (@t452)) % 218.01/218.32 (step @p502 :rule and_intro :premises (@p746 @p201)) % 218.01/218.32 (step @p503 :rule modus_ponens :premises (@p502 @p499)) % 218.01/218.32 (step-pop @p751 :rule scope :premises (@p503)) % 218.01/218.32 (step-pop @p752 :rule scope :premises (@p751)) % 218.01/218.32 (step @p504 :rule process_scope :premises (@p752) :args (@t452)) % 218.01/218.32 (step @p507 :rule implies_elim :premises (@p504)) % 218.01/218.32 (step @p508 :rule cnf_and_neg :args (@t456)) % 218.01/218.32 (step @p509 :rule resolution :premises (@p508 @p507) :args (true @t456)) % 218.01/218.32 (step @p510 :rule eq_resolve :premises (@p509 @p491)) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p511 :rule trust :premises () :args ((= (forall @t463 @t468) (forall @t463 (or @t124 (not (_ @t121 @t461 @t120)) (not (_ @t121 @t459 @t120)) (not (_ @t121 @t458 @t120)) @t462 (not (_ @t121 @t457 (_ @t122 @t5 @t461))) @t460))))) % 218.01/218.32 (step @p512 :rule aci_norm :args ((= @t470 @t468))) % 218.01/218.32 (step @p513 :rule cong :premises (@p512) :args (@t471)) % 218.01/218.32 (step @p514 :rule quant-merge-prenex :args ((= (forall @t22 @t473) @t471))) % 218.01/218.32 (step @p515 :rule alpha_equiv :args (@t474 (@list @t461 @t459 @t458 @t457) (@list @t1 @t477 @t476 @t475))) % 218.01/218.32 (step @p516 :rule nary_cong :premises (@p35 @p515) :args (@t478)) % 218.01/218.32 (step @p517 :rule quant-miniscope-or :args ((= @t473 @t478))) % 218.01/218.32 (step @p518 :rule trans :premises (@p517 @p516)) % 218.01/218.32 (step @p519 :rule symm :premises (@p518)) % 218.01/218.32 (step @p520 :rule cong :premises (@p519) :args ((forall @t22 (or @t129 @t486)))) % 218.01/218.32 (step @p521 :rule trans :premises (@p520 @p514)) % 218.01/218.32 (step @p522 :rule trans :premises (@p521 @p513)) % 218.01/218.32 (step @p523 :rule bool-impl-elim :args (@t34 @t486)) % 218.01/218.32 (step @p524 :rule cong :premises (@p523) :args ((forall @t22 (=> @t34 @t486)))) % 218.01/218.32 (step @p525 :rule trans :premises (@p524 @p522)) % 218.01/218.32 (step @p526 :rule aci_norm :args ((= @t488 @t484))) % 218.01/218.32 (step @p527 :rule cong :premises (@p526) :args (@t489)) % 218.01/218.32 (step @p528 :rule quant-merge-prenex :args ((= (forall @t18 @t491) @t489))) % 218.01/218.32 (step @p529 :rule alpha_equiv :args (@t492 (@list @t477 @t476 @t475) (@list @t3 @t494 @t493))) % 218.01/218.32 (step @p530 :rule nary_cong :premises (@p50 @p529) :args (@t495)) % 218.01/218.32 (step @p531 :rule quant-miniscope-or :args ((= @t491 @t495))) % 218.01/218.32 (step @p532 :rule trans :premises (@p531 @p530)) % 218.01/218.32 (step @p533 :rule symm :premises (@p532)) % 218.01/218.32 (step @p534 :rule cong :premises (@p533) :args ((forall @t18 (or @t143 @t502)))) % 218.01/218.32 (step @p535 :rule trans :premises (@p534 @p528)) % 218.01/218.32 (step @p536 :rule trans :premises (@p535 @p527)) % 218.01/218.32 (step @p537 :rule bool-impl-elim :args (@t31 @t502)) % 218.01/218.32 (step @p538 :rule cong :premises (@p537) :args ((forall @t18 (=> @t31 @t502)))) % 218.01/218.32 (step @p539 :rule trans :premises (@p538 @p536)) % 218.01/218.32 (step @p540 :rule aci_norm :args ((= @t504 @t500))) % 218.01/218.32 (step @p541 :rule cong :premises (@p540) :args (@t505)) % 218.01/218.32 (step @p542 :rule quant-merge-prenex :args ((= (forall @t12 @t507) @t505))) % 218.01/218.32 (step @p543 :rule alpha_equiv :args (@t508 (@list @t494 @t493) (@list @t2 @t509))) % 218.01/218.32 (step @p544 :rule nary_cong :premises (@p127 @p543) :args (@t510)) % 218.01/218.32 (step @p545 :rule quant-miniscope-or :args ((= @t507 @t510))) % 218.01/218.32 (step @p546 :rule trans :premises (@p545 @p544)) % 218.01/218.32 (step @p547 :rule symm :premises (@p546)) % 218.01/218.32 (step @p548 :rule cong :premises (@p547) :args ((forall @t12 (or @t213 @t515)))) % 218.01/218.32 (step @p549 :rule trans :premises (@p548 @p542)) % 218.01/218.32 (step @p550 :rule trans :premises (@p549 @p541)) % 218.01/218.32 (step @p551 :rule bool-impl-elim :args (@t10 @t515)) % 218.01/218.32 (step @p552 :rule cong :premises (@p551) :args ((forall @t12 (=> @t10 @t515)))) % 218.01/218.32 (step @p553 :rule trans :premises (@p552 @p550)) % 218.01/218.32 (step @p554 :rule aci_norm :args ((= @t517 @t513))) % 218.01/218.32 (step @p555 :rule cong :premises (@p554) :args (@t518)) % 218.01/218.32 (step @p556 :rule quant-merge-prenex :args ((= (forall @t8 @t520) @t518))) % 218.01/218.32 (step @p557 :rule alpha_equiv :args (@t521 (@list @t509) (@list @t39))) % 218.01/218.32 (step @p558 :rule refl :args (@t38)) % 218.01/218.32 (step @p559 :rule refl :args (@t169)) % 218.01/218.32 (step @p560 :rule nary_cong :premises (@p559 @p558 @p557) :args (@t522)) % 218.01/218.32 (step @p561 :rule quant-miniscope-or :args ((= @t520 @t522))) % 218.01/218.32 (step @p562 :rule trans :premises (@p561 @p560)) % 218.01/218.32 (step @p563 :rule symm :premises (@p562)) % 218.01/218.32 (step @p564 :rule cong :premises (@p563) :args ((forall @t8 @t527))) % 218.01/218.32 (step @p565 :rule trans :premises (@p564 @p556)) % 218.01/218.32 (step @p566 :rule trans :premises (@p565 @p555)) % 218.01/218.32 (step @p567 :rule aci_norm :args ((= (or @t169 @t528) @t527))) % 218.01/218.32 (step @p568 :rule bool-impl-elim :args (@t7 @t528)) % 218.01/218.32 (step @p569 :rule trans :premises (@p568 @p567)) % 218.01/218.32 (step @p570 :rule cong :premises (@p569) :args ((forall @t8 (=> @t7 @t528)))) % 218.01/218.32 (step @p571 :rule trans :premises (@p570 @p566)) % 218.01/218.32 (step @p572 :rule quant-miniscope-or :args ((= (forall @t44 @t529) @t528))) % 218.01/218.32 (step @p573 :rule aci_norm :args ((= @t530 @t529))) % 218.01/218.32 (step @p574 :rule cong :premises (@p573) :args ((forall @t44 @t530))) % 218.01/218.32 (step @p575 :rule trans :premises (@p574 @p572)) % 218.01/218.32 (step @p576 :rule aci_norm :args ((= (or @t524 (or @t523 @t38)) @t530))) % 218.01/218.32 (step @p577 :rule bool-impl-elim :args (@t40 @t38)) % 218.01/218.32 (step @p578 :rule refl :args (@t524)) % 218.01/218.32 (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t524 @t41))) % 218.01/218.32 (step @p580 :rule trans :premises (@p579 @p576)) % 218.01/218.32 (step @p581 :rule bool-impl-elim :args (@t43 @t41)) % 218.01/218.32 (step @p582 :rule trans :premises (@p581 @p580)) % 218.01/218.32 (step @p583 :rule cong :premises (@p582) :args (@t45)) % 218.01/218.32 (step @p584 :rule trans :premises (@p583 @p575)) % 218.01/218.32 (step @p585 :rule refl :args (@t7)) % 218.01/218.32 (step @p586 :rule cong :premises (@p585 @p584) :args (@t46)) % 218.01/218.32 (step @p587 :rule cong :premises (@p586) :args (@t47)) % 218.01/218.32 (step @p588 :rule trans :premises (@p587 @p571)) % 218.01/218.32 (step @p589 :rule cong :premises (@p160 @p588) :args (@t48)) % 218.01/218.32 (step @p590 :rule cong :premises (@p589) :args (@t49)) % 218.01/218.32 (step @p591 :rule trans :premises (@p590 @p553)) % 218.01/218.32 (step @p592 :rule cong :premises (@p82 @p591) :args (@t50)) % 218.01/218.32 (step @p593 :rule cong :premises (@p592) :args (@t51)) % 218.01/218.32 (step @p594 :rule trans :premises (@p593 @p539)) % 218.01/218.32 (step @p595 :rule cong :premises (@p86 @p594) :args (@t52)) % 218.01/218.32 (step @p596 :rule cong :premises (@p595) :args (@t53)) % 218.01/218.32 (step @p597 :rule trans :premises (@p596 @p525)) % 218.01/218.32 (step @p598 :rule trans :premises (@p597 @p511)) % 218.01/218.32 (step @p599 :rule eq_resolve :premises (@p3 @p598)) % 218.01/218.32 (step @p600 :rule instantiate :premises (@p599) :args ((@list @t181 @t180 @t304 @t306 @t179))) % 218.01/218.32 (step @p601 :rule cnf_or_pos :args (@t534)) % 218.01/218.32 (step @p602 :rule reordering :premises (@p601) :args ((or @t244 @t242 @t236 @t313 @t312 @t531 @t533 (not @t534)))) % 218.01/218.32 (step @p603 :rule cnf_equiv_pos2 :args (@t448)) % 218.01/218.32 (step @p604 :rule reordering :premises (@p603) :args ((or @t447 @t450 @t451))) % 218.01/218.32 (step @p605 :rule cnf_and_pos :args (@t533 0)) % 218.01/218.32 (step @p606 :rule reordering :premises (@p605) :args ((or @t532 (not @t533)))) % 218.01/218.32 (step @p607 :rule cnf_and_neg :args (@t446)) % 218.01/218.32 (step @p608 :rule reordering :premises (@p607) :args ((or @t531 (not @t445) @t446))) % 218.01/218.32 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.32 (step @p609 :rule trust :premises () :args ((= (forall @t539 @t542) (forall @t539 (or @t124 (not (_ @t121 @t535 @t120)) (= @t538 (forall @t12 (or @t257 @t537 @t536)))))))) % 218.01/218.32 (step @p610 :rule aci_norm :args ((= @t544 @t542))) % 218.01/218.32 (step @p611 :rule cong :premises (@p610) :args (@t545)) % 218.01/218.32 (step @p612 :rule quant-merge-prenex :args ((= (forall @t22 @t547) @t545))) % 218.01/218.32 (step @p613 :rule alpha_equiv :args (@t548 (@list @t535) @t276)) % 218.01/218.32 (step @p614 :rule nary_cong :premises (@p35 @p613) :args (@t549)) % 218.01/218.32 (step @p615 :rule quant-miniscope-or :args ((= @t547 @t549))) % 218.01/218.32 (step @p616 :rule trans :premises (@p615 @p614)) % 218.01/218.32 (step @p617 :rule symm :premises (@p616)) % 218.01/218.32 (step @p618 :rule cong :premises (@p617) :args ((forall @t22 (or @t129 @t552)))) % 218.01/218.32 (step @p619 :rule trans :premises (@p618 @p612)) % 218.01/218.32 (step @p620 :rule trans :premises (@p619 @p611)) % 218.01/218.32 (step @p621 :rule bool-impl-elim :args (@t34 @t552)) % 218.01/218.32 (step @p622 :rule cong :premises (@p621) :args ((forall @t22 (=> @t34 @t552)))) % 218.01/218.32 (step @p623 :rule trans :premises (@p622 @p620)) % 218.01/218.32 (step @p624 :rule bool-impl-elim :args (@t31 @t551)) % 218.01/218.32 (step @p625 :rule cong :premises (@p624) :args ((forall @t18 (=> @t31 @t551)))) % 218.01/218.32 (step @p626 :rule aci_norm :args ((= (or @t213 (or @t537 @t68)) @t550))) % 218.01/218.32 (step @p627 :rule bool-impl-elim :args (@t37 @t68)) % 218.01/218.32 (step @p628 :rule nary_cong :premises (@p127 @p627) :args ((or @t213 @t69))) % 218.01/218.32 (step @p629 :rule trans :premises (@p628 @p626)) % 218.01/218.32 (step @p630 :rule bool-impl-elim :args (@t10 @t69)) % 218.01/218.32 (step @p631 :rule trans :premises (@p630 @p629)) % 218.01/218.32 (step @p632 :rule cong :premises (@p631) :args (@t70)) % 218.01/218.32 (step @p633 :rule refl :args (@t71)) % 218.01/218.32 (step @p634 :rule cong :premises (@p633 @p632) :args (@t72)) % 218.01/218.32 (step @p635 :rule cong :premises (@p82 @p634) :args (@t73)) % 218.01/218.32 (step @p636 :rule cong :premises (@p635) :args (@t74)) % 218.01/218.32 (step @p637 :rule trans :premises (@p636 @p625)) % 218.01/218.32 (step @p638 :rule cong :premises (@p86 @p637) :args (@t75)) % 218.01/218.32 (step @p639 :rule cong :premises (@p638) :args (@t76)) % 218.01/218.32 (step @p640 :rule trans :premises (@p639 @p623)) % 218.01/218.32 (step @p641 :rule trans :premises (@p640 @p609)) % 218.01/218.32 (step @p642 :rule eq_resolve :premises (@p6 @p641)) % 218.01/218.32 (step @p643 :rule instantiate :premises (@p642) :args ((@list @t181 @t178))) % 218.01/218.32 (step @p644 :rule cnf_or_pos :args (@t555)) % 218.01/218.32 (step @p645 :rule reordering :premises (@p644) :args ((or @t242 @t240 @t554 (not @t555)))) % 218.01/218.32 (step @p646 :rule chain_m_resolution :premises (@p645 @p192 @p186 @p643) :args (@t554 @t396 (@list @t241 @t239 @t555))) % 218.01/218.32 (step @p647 :rule bool-double-not-elim :args (@t237)) % 218.01/218.32 (step @p648 :rule nary_cong :premises (@p175 @p647) :args ((or @t245 (not @t238)))) % 218.01/218.32 (step @p649 :rule cnf_or_neg :args (@t245 3)) % 218.01/218.32 (step @p650 :rule eq_resolve :premises (@p649 @p648)) % 218.01/218.32 (step @p651 :rule reordering :premises (@p650) :args ((or @t237 @t245))) % 218.01/218.32 (step @p652 :rule chain_m_resolution :premises (@p651 @p173) :args (@t237 @t246 @t247)) % 218.01/218.32 (step @p653 :rule cnf_equiv_pos1 :args (@t554)) % 218.01/218.32 (step @p654 :rule reordering :premises (@p653) :args ((or @t238 @t553 (not @t554)))) % 218.01/218.32 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p646) :args (@t553 @t322 (@list @t237 @t554))) % 218.01/218.32 (step @p656 :rule instantiate :premises (@p655) :args ((@list @t304))) % 218.01/218.32 (step @p657 :rule cnf_or_pos :args (@t557)) % 218.01/218.32 (step @p658 :rule reordering :premises (@p657) :args ((or @t313 @t445 @t556 (not @t557)))) % 218.01/218.32 (step @p659 :rule chain_m_resolution :premises (@p658 @p656 @p608 @p606 @p604 @p602 @p600 @p180 @p192 @p198 @p510 @p201 @p487 @p485 @p458 @p456 @p399 @p186 @p281 @p280 @p275) :args (@t314 (@list false true false true false false false false false true false false true false false false false true false false) (@list @t557 @t445 @t532 @t446 @t533 @t534 @t233 @t241 @t243 @t447 @t249 @t308 @t309 @t448 @t449 @t297 @t239 @t310 @t311 @t305))) % 218.01/218.32 (step @p660 :rule refl :args (@t558)) % 218.01/218.32 (step @p661 :rule bool-double-not-elim :args (@t300)) % 218.01/218.32 (step @p662 :rule nary_cong :premises (@p661 @p660) :args ((or (not @t559) @t558))) % 218.01/218.32 (assume-push @p753 @t559) % 218.01/218.32 (step @p664 :rule skolemize :premises (@p753)) % 218.01/218.32 (step-pop @p754 :rule scope :premises (@p664)) % 218.01/218.32 (step @p665 :rule process_scope :premises (@p754) :args (@t558)) % 218.01/218.32 (step @p667 :rule implies_elim :premises (@p665)) % 218.01/218.32 (step @p668 :rule eq_resolve :premises (@p667 @p662)) % 218.01/218.32 (step @p669 :rule chain_m_resolution :premises (@p668 @p659) :args (@t300 @t303 (@list @t314))) % 218.01/218.32 (step @p670 :rule cnf_or_neg :args (@t245 5)) % 218.01/218.32 (step @p671 :rule chain_m_resolution :premises (@p670 @p173) :args ((not @t235) @t246 @t247)) % 218.01/218.32 (step @p672 :rule cnf_equiv_pos2 :args (@t301)) % 218.01/218.32 (step @p673 :rule reordering :premises (@p672) :args ((or @t235 @t559 @t560))) % 218.01/218.32 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p669) :args (@t560 (@list true false) (@list @t235 @t300))) % 218.01/218.33 (step @p675 :rule cnf_or_pos :args (@t302)) % 218.01/218.33 (step @p676 :rule reordering :premises (@p675) :args ((or @t296 @t298 @t301 (not @t302)))) % 218.01/218.33 (step @p677 :rule chain_m_resolution :premises (@p676 @p399 @p674 @p269) :args (@t296 @t561 (@list @t297 @t301 @t302))) % 218.01/218.33 ; trust TRUST PREPROCESS_SORT_INFER % 218.01/218.33 (step @p678 :rule trust :premises () :args ((= (forall @t564 @t567) (forall @t564 (or @t262 (not (_ @t121 @t562 @t120)) (_ @t121 @t563 @t260)))))) % 218.01/218.33 (step @p679 :rule aci_norm :args ((= @t569 @t567))) % 218.01/218.33 (step @p680 :rule cong :premises (@p679) :args (@t570)) % 218.01/218.33 (step @p681 :rule quant-merge-prenex :args ((= (forall @t22 @t572) @t570))) % 218.01/218.33 (step @p682 :rule alpha_equiv :args (@t573 (@list @t562) @t276)) % 218.01/218.33 (step @p683 :rule nary_cong :premises (@p207 @p682) :args (@t574)) % 218.01/218.33 (step @p684 :rule quant-miniscope-or :args ((= @t572 @t574))) % 218.01/218.33 (step @p685 :rule trans :premises (@p684 @p683)) % 218.01/218.33 (step @p686 :rule symm :premises (@p685)) % 218.01/218.33 (step @p687 :rule cong :premises (@p686) :args ((forall @t22 (or @t268 @t575)))) % 218.01/218.33 (step @p688 :rule trans :premises (@p687 @p681)) % 218.01/218.33 (step @p689 :rule trans :premises (@p688 @p680)) % 218.01/218.33 (step @p690 :rule bool-impl-elim :args (@t20 @t575)) % 218.01/218.33 (step @p691 :rule cong :premises (@p690) :args ((forall @t22 (=> @t20 @t575)))) % 218.01/218.33 (step @p692 :rule trans :premises (@p691 @p689)) % 218.01/218.33 (step @p693 :rule bool-impl-elim :args (@t31 @t77)) % 218.01/218.33 (step @p694 :rule cong :premises (@p693) :args (@t78)) % 218.01/218.33 (step @p695 :rule cong :premises (@p245 @p694) :args (@t79)) % 218.01/218.33 (step @p696 :rule cong :premises (@p695) :args (@t80)) % 218.01/218.33 (step @p697 :rule trans :premises (@p696 @p692)) % 218.01/218.33 (step @p698 :rule trans :premises (@p697 @p678)) % 218.01/218.33 (step @p699 :rule eq_resolve :premises (@p9 @p698)) % 218.01/218.33 (step @p700 :rule instantiate :premises (@p699) :args ((@list @t179 @t178))) % 218.01/218.33 (step @p701 :rule cnf_or_pos :args (@t577)) % 218.01/218.33 (step @p702 :rule reordering :premises (@p701) :args ((or @t240 @t298 @t576 (not @t577)))) % 218.01/218.33 (step @p703 :rule chain_m_resolution :premises (@p702 @p186 @p399 @p700) :args (@t576 @t396 (@list @t239 @t297 @t577))) % 218.01/218.33 (step @p704 :rule refl :args (@t578)) % 218.01/218.33 (step @p705 :rule bool-double-not-elim :args (@t295)) % 218.01/218.33 (step @p706 :rule nary_cong :premises (@p490 @p705 @p704) :args ((or @t455 (not @t296) @t578))) % 218.01/218.33 (assume-push @p755 @t576) % 218.01/218.33 (assume-push @p756 @t249) % 218.01/218.33 (assume-push @p757 @t296) % 218.01/218.33 (step @p710 :rule evaluate :args ((= false true))) % 218.01/218.33 (step @p711 :rule true_intro :premises (@p703)) % 218.01/218.33 (step @p712 :rule refl :args (@t260)) % 218.01/218.33 (step @p713 :rule cong :premises (@p201 @p712) :args (@t295)) % 218.01/218.33 (step @p714 :rule false_intro :premises (@p757)) % 218.01/218.33 (step @p715 :rule symm :premises (@p714)) % 218.01/218.33 (step @p716 :rule trans :premises (@p715 @p713 @p711)) % 218.01/218.33 (step @p717 false :rule eq_resolve :premises (@p716 @p710)) % 218.01/218.33 (step-pop @p758 :rule scope :premises (@p717)) % 218.01/218.33 (step-pop @p759 :rule scope :premises (@p758)) % 218.01/218.33 (step-pop @p760 :rule scope :premises (@p759)) % 218.01/218.33 (step @p718 :rule process_scope :premises (@p760) :args (false)) % 218.01/218.33 (assume-push @p761 @t249) % 218.01/218.33 (assume-push @p762 @t296) % 218.01/218.33 (assume-push @p763 @t576) % 218.01/218.33 (step @p725 :rule and_intro :premises (@p703 @p201 @p762)) % 218.01/218.33 (step-pop @p764 :rule scope :premises (@p725)) % 218.01/218.33 (step-pop @p765 :rule scope :premises (@p764)) % 218.01/218.33 (step-pop @p766 :rule scope :premises (@p765)) % 218.01/218.33 (step @p726 :rule process_scope :premises (@p766) :args (@t579)) % 218.01/218.33 (step @p730 :rule implies_elim :premises (@p726)) % 218.01/218.33 (step @p731 :rule resolution :premises (@p730 @p718) :args (true @t579)) % 218.01/218.33 (step @p732 :rule not_and :premises (@p731)) % 218.01/218.33 (step @p733 :rule eq_resolve :premises (@p732 @p706)) % 218.01/218.33 (step @p734 false :rule chain_m_resolution :premises (@p733 @p703 @p677 @p201) :args (false @t561 (@list @t576 @t295 @t249))) % 218.01/218.33 ) % 218.01/218.33 % SZS output end Proof % 218.01/218.33 % cvc5 exiting %------------------------------------------------------------------------------