%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET685+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 : n029.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 08:48:26 AM UTC 2026 % Result : Theorem 76.86s 77.09s % Output : Proof 76.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET685+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n029.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:08:32 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 76.86/77.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 76.86/77.09 --- Run --no-e-matching --full-saturate-quant at 6... % 76.86/77.09 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 76.86/77.09 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 76.86/77.09 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 76.86/77.09 --- Run --trigger-sel=max --full-saturate-quant at 15... % 76.86/77.09 % SZS status Theorem % 76.86/77.09 % SZS output start Proof % 76.86/77.09 ( % 76.86/77.09 (declare-sort $$unsorted 0) % 76.86/77.09 (declare-const tptp.relation_like (-> $$unsorted Bool)) % 76.86/77.09 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 76.86/77.09 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.set_type $$unsorted) % 76.86/77.09 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.subset_type (-> $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool)) % 76.86/77.09 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.binary_relation_type $$unsorted) % 76.86/77.09 (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.image4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.member_type (-> $$unsorted $$unsorted)) % 76.86/77.09 (declare-const tptp.empty (-> $$unsorted Bool)) % 76.86/77.09 (define @t1 () (@var "B" $$unsorted)) % 76.86/77.09 (define @t2 () (@var "E" $$unsorted)) % 76.86/77.09 (define @t3 () (tptp.member @t2 @t1)) % 76.86/77.09 (define @t4 () (@var "D" $$unsorted)) % 76.86/77.09 (define @t5 () (@var "C" $$unsorted)) % 76.86/77.09 (define @t6 () (tptp.ordered_pair @t2 @t5)) % 76.86/77.09 (define @t7 () (tptp.member @t6 @t4)) % 76.86/77.09 (define @t8 () (tptp.ilf_type @t2 tptp.set_type)) % 76.86/77.09 (define @t9 () (and @t8 @t7 @t3)) % 76.86/77.09 (define @t10 () (@list @t2)) % 76.86/77.09 (define @t11 () (exists @t10 @t9)) % 76.86/77.09 (define @t12 () (tptp.member @t5 (tptp.image @t4 @t1))) % 76.86/77.09 (define @t13 () (= @t12 @t11)) % 76.86/77.09 (define @t14 () (tptp.ilf_type @t4 tptp.binary_relation_type)) % 76.86/77.09 (define @t15 () (=> @t14 @t13)) % 76.86/77.09 (define @t16 () (@list @t4)) % 76.86/77.09 (define @t17 () (forall @t16 @t15)) % 76.86/77.09 (define @t18 () (tptp.ilf_type @t5 tptp.set_type)) % 76.86/77.09 (define @t19 () (=> @t18 @t17)) % 76.86/77.09 (define @t20 () (@list @t5)) % 76.86/77.09 (define @t21 () (forall @t20 @t19)) % 76.86/77.09 (define @t22 () (tptp.ilf_type @t1 tptp.set_type)) % 76.86/77.09 (define @t23 () (=> @t22 @t21)) % 76.86/77.09 (define @t24 () (@list @t1)) % 76.86/77.09 (define @t25 () (forall @t24 @t23)) % 76.86/77.09 (define @t26 () (tptp.member @t4 @t1)) % 76.86/77.09 (define @t27 () (and @t26 (tptp.member @t2 @t5))) % 76.86/77.09 (define @t28 () (@var "F" $$unsorted)) % 76.86/77.09 (define @t29 () (tptp.ordered_pair @t4 @t2)) % 76.86/77.09 (define @t30 () (tptp.member @t29 @t28)) % 76.86/77.09 (define @t31 () (=> @t30 @t27)) % 76.86/77.09 (define @t32 () (tptp.relation_type @t1 @t5)) % 76.86/77.09 (define @t33 () (tptp.ilf_type @t28 @t32)) % 76.86/77.09 (define @t34 () (@list @t28)) % 76.86/77.09 (define @t35 () (forall @t34 (=> @t33 @t31))) % 76.86/77.09 (define @t36 () (=> @t8 @t35)) % 76.86/77.09 (define @t37 () (forall @t10 @t36)) % 76.86/77.09 (define @t38 () (tptp.ilf_type @t4 tptp.set_type)) % 76.86/77.09 (define @t39 () (=> @t38 @t37)) % 76.86/77.09 (define @t40 () (forall @t16 @t39)) % 76.86/77.09 (define @t41 () (=> @t18 @t40)) % 76.86/77.09 (define @t42 () (forall @t20 @t41)) % 76.86/77.09 (define @t43 () (=> @t22 @t42)) % 76.86/77.09 (define @t44 () (forall @t24 @t43)) % 76.86/77.09 (define @t45 () (tptp.cross_product @t1 @t5)) % 76.86/77.09 (define @t46 () (tptp.subset_type @t45)) % 76.86/77.09 (define @t47 () (tptp.ilf_type @t2 @t46)) % 76.86/77.09 (define @t48 () (tptp.ilf_type @t2 @t32)) % 76.86/77.09 (define @t49 () (forall @t10 (=> @t48 @t47))) % 76.86/77.09 (define @t50 () (tptp.ilf_type @t4 @t32)) % 76.86/77.09 (define @t51 () (tptp.ilf_type @t4 @t46)) % 76.86/77.09 (define @t52 () (forall @t16 (=> @t51 @t50))) % 76.86/77.09 (define @t53 () (and @t52 @t49)) % 76.86/77.09 (define @t54 () (=> @t18 @t53)) % 76.86/77.09 (define @t55 () (forall @t20 @t54)) % 76.86/77.09 (define @t56 () (=> @t22 @t55)) % 76.86/77.09 (define @t57 () (forall @t24 @t56)) % 76.86/77.09 (define @t58 () (= (tptp.ilf_type @t1 (tptp.member_type @t5)) (tptp.member @t1 @t5))) % 76.86/77.09 (define @t59 () (tptp.empty @t5)) % 76.86/77.09 (define @t60 () (not @t59)) % 76.86/77.09 (define @t61 () (and @t60 @t18)) % 76.86/77.09 (define @t62 () (forall @t20 (=> @t61 @t58))) % 76.86/77.09 (define @t63 () (=> @t22 @t62)) % 76.86/77.09 (define @t64 () (forall @t24 @t63)) % 76.86/77.09 (define @t65 () (tptp.member_type @t1)) % 76.86/77.09 (define @t66 () (tptp.empty @t1)) % 76.86/77.09 (define @t67 () (not @t66)) % 76.86/77.09 (define @t68 () (and @t67 @t22)) % 76.86/77.09 (define @t69 () (tptp.member @t5 @t1)) % 76.86/77.09 (define @t70 () (tptp.unordered_pair @t1 @t5)) % 76.86/77.09 (define @t71 () (tptp.ilf_type @t1 tptp.binary_relation_type)) % 76.86/77.09 (define @t72 () (tptp.relation_like @t1)) % 76.86/77.09 (define @t73 () (= @t71 (and @t72 @t22))) % 76.86/77.09 (define @t74 () (forall @t24 (=> @t22 @t73))) % 76.86/77.09 (define @t75 () (tptp.power_set @t1)) % 76.86/77.09 (define @t76 () (tptp.ilf_type @t5 (tptp.subset_type @t1))) % 76.86/77.09 (define @t77 () (tptp.member @t4 @t5)) % 76.86/77.09 (define @t78 () (tptp.relation_like @t4)) % 76.86/77.09 (define @t79 () (forall @t16 (=> @t51 @t78))) % 76.86/77.09 (define @t80 () (=> @t18 @t79)) % 76.86/77.09 (define @t81 () (forall @t20 @t80)) % 76.86/77.09 (define @t82 () (=> @t22 @t81)) % 76.86/77.09 (define @t83 () (forall @t24 @t82)) % 76.86/77.09 (define @t84 () (tptp.image4 @t1 @t5 @t4 @t2)) % 76.86/77.09 (define @t85 () (= @t84 (tptp.image @t4 @t2))) % 76.86/77.09 (define @t86 () (forall @t10 (=> @t8 @t85))) % 76.86/77.09 (define @t87 () (=> @t50 @t86)) % 76.86/77.09 (define @t88 () (forall @t16 @t87)) % 76.86/77.09 (define @t89 () (=> @t18 @t88)) % 76.86/77.09 (define @t90 () (forall @t20 @t89)) % 76.86/77.09 (define @t91 () (=> @t22 @t90)) % 76.86/77.09 (define @t92 () (forall @t24 @t91)) % 76.86/77.09 (define @t93 () (forall @t24 @t22)) % 76.86/77.09 (define @t94 () (@var "G" $$unsorted)) % 76.86/77.09 (define @t95 () (tptp.member @t94 @t5)) % 76.86/77.09 (define @t96 () (tptp.member (tptp.ordered_pair @t94 @t28) @t2)) % 76.86/77.09 (define @t97 () (tptp.ilf_type @t94 (tptp.member_type @t4))) % 76.86/77.09 (define @t98 () (and @t97 @t96 @t95)) % 76.86/77.09 (define @t99 () (@list @t94)) % 76.86/77.09 (define @t100 () (exists @t99 @t98)) % 76.86/77.09 (define @t101 () (tptp.image4 @t4 @t1 @t2 @t5)) % 76.86/77.09 (define @t102 () (tptp.member @t28 @t101)) % 76.86/77.09 (define @t103 () (= @t102 @t100)) % 76.86/77.09 (define @t104 () (tptp.ilf_type @t28 @t65)) % 76.86/77.09 (define @t105 () (=> @t104 @t103)) % 76.86/77.09 (define @t106 () (forall @t34 @t105)) % 76.86/77.09 (define @t107 () (tptp.relation_type @t4 @t1)) % 76.86/77.09 (define @t108 () (tptp.ilf_type @t2 @t107)) % 76.86/77.09 (define @t109 () (=> @t108 @t106)) % 76.86/77.09 (define @t110 () (forall @t10 @t109)) % 76.86/77.09 (define @t111 () (tptp.empty @t4)) % 76.86/77.09 (define @t112 () (not @t111)) % 76.86/77.09 (define @t113 () (and @t112 @t38)) % 76.86/77.09 (define @t114 () (=> @t113 @t110)) % 76.86/77.09 (define @t115 () (forall @t16 @t114)) % 76.86/77.09 (define @t116 () (=> @t61 @t115)) % 76.86/77.09 (define @t117 () (forall @t20 @t116)) % 76.86/77.09 (define @t118 () (=> @t68 @t117)) % 76.86/77.09 (define @t119 () (forall @t24 @t118)) % 76.86/77.09 (define @t120 () (not @t119)) % 76.86/77.09 (define @t121 () (not @t3)) % 76.86/77.09 (define @t122 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 76.86/77.09 (define @t123 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 76.86/77.09 (define @t124 () (not @t8)) % 76.86/77.09 (define @t125 () (= (tptp.member @t123 (tptp.image @t122 @t1)) (not (forall @t10 (or @t124 (not (tptp.member (tptp.ordered_pair @t2 @t123) @t122)) @t121))))) % 76.86/77.09 (define @t126 () (not (tptp.ilf_type @t122 tptp.binary_relation_type))) % 76.86/77.09 (define @t127 () (not (tptp.ilf_type @t123 tptp.set_type))) % 76.86/77.09 (define @t128 () (not @t22)) % 76.86/77.09 (define @t129 () (or @t127 @t126 @t125)) % 76.86/77.09 (define @t130 () (or @t128 @t129)) % 76.86/77.09 (define @t131 () (forall (@list @t1 @t123 @t122) @t130)) % 76.86/77.09 (define @t132 () (@list @t123 @t122)) % 76.86/77.09 (define @t133 () (forall @t132 @t130)) % 76.86/77.09 (define @t134 () (forall @t132 @t129)) % 76.86/77.09 (define @t135 () (@var "BOUND_VARIABLE_7711" $$unsorted)) % 76.86/77.09 (define @t136 () (or @t128 @t134)) % 76.86/77.09 (define @t137 () (= (tptp.member @t5 (tptp.image @t135 @t1)) (not (forall @t10 (or @t124 (not (tptp.member @t6 @t135)) @t121))))) % 76.86/77.09 (define @t138 () (not (tptp.ilf_type @t135 tptp.binary_relation_type))) % 76.86/77.09 (define @t139 () (not @t18)) % 76.86/77.09 (define @t140 () (or @t139 @t138 @t137)) % 76.86/77.09 (define @t141 () (@list @t5 @t135)) % 76.86/77.09 (define @t142 () (forall @t141 @t140)) % 76.86/77.09 (define @t143 () (or @t138 @t137)) % 76.86/77.09 (define @t144 () (or @t139 @t143)) % 76.86/77.09 (define @t145 () (forall @t141 @t144)) % 76.86/77.09 (define @t146 () (@list @t135)) % 76.86/77.09 (define @t147 () (forall @t146 @t144)) % 76.86/77.09 (define @t148 () (forall @t146 @t143)) % 76.86/77.09 (define @t149 () (@list @t4)) % 76.86/77.09 (define @t150 () (or @t139 @t148)) % 76.86/77.09 (define @t151 () (not @t7)) % 76.86/77.09 (define @t152 () (or @t124 @t151 @t121)) % 76.86/77.09 (define @t153 () (= @t12 (not (forall @t10 @t152)))) % 76.86/77.09 (define @t154 () (forall @t16 (or (not @t14) @t153))) % 76.86/77.09 (define @t155 () (forall @t10 (not @t9))) % 76.86/77.09 (define @t156 () (not @t155)) % 76.86/77.09 (define @t157 () (@var "BOUND_VARIABLE_8579" $$unsorted)) % 76.86/77.09 (define @t158 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 76.86/77.09 (define @t159 () (@var "BOUND_VARIABLE_8585" $$unsorted)) % 76.86/77.09 (define @t160 () (@var "BOUND_VARIABLE_8581" $$unsorted)) % 76.86/77.09 (define @t161 () (= (tptp.member @t159 (tptp.image4 @t160 @t1 @t158 @t157)) (not (forall @t99 (or (not (tptp.ilf_type @t94 (tptp.member_type @t160))) (not (tptp.member (tptp.ordered_pair @t94 @t159) @t158)) (not (tptp.member @t94 @t157))))))) % 76.86/77.09 (define @t162 () (not (tptp.ilf_type @t159 @t65))) % 76.86/77.09 (define @t163 () (not (tptp.ilf_type @t158 (tptp.relation_type @t160 @t1)))) % 76.86/77.09 (define @t164 () (not (tptp.ilf_type @t160 tptp.set_type))) % 76.86/77.09 (define @t165 () (tptp.empty @t160)) % 76.86/77.09 (define @t166 () (not (tptp.ilf_type @t157 tptp.set_type))) % 76.86/77.09 (define @t167 () (tptp.empty @t157)) % 76.86/77.09 (define @t168 () (or @t66 @t128 @t167 @t166 @t165 @t164 @t163 @t162 @t161)) % 76.86/77.09 (define @t169 () (@list @t1 @t157 @t160 @t158 @t159)) % 76.86/77.09 (define @t170 () (forall @t169 @t168)) % 76.86/77.09 (define @t171 () (@quantifiers_skolemize @t170 3)) % 76.86/77.09 (define @t172 () (@quantifiers_skolemize @t170 4)) % 76.86/77.09 (define @t173 () (@quantifiers_skolemize @t170 1)) % 76.86/77.09 (define @t174 () (@list @t171)) % 76.86/77.09 (define @t175 () (tptp.ilf_type @t171 tptp.set_type)) % 76.86/77.09 (define @t176 () (tptp.relation_like @t171)) % 76.86/77.09 (define @t177 () (and @t176 @t175)) % 76.86/77.09 (define @t178 () (tptp.ilf_type @t171 tptp.binary_relation_type)) % 76.86/77.09 (define @t179 () (= @t178 @t177)) % 76.86/77.09 (define @t180 () (not @t175)) % 76.86/77.09 (define @t181 () (or @t180 @t179)) % 76.86/77.09 (define @t182 () (@list false false)) % 76.86/77.09 (define @t183 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 76.86/77.09 (define @t184 () (tptp.relation_like @t183)) % 76.86/77.09 (define @t185 () (@var "BOUND_VARIABLE_8321" $$unsorted)) % 76.86/77.09 (define @t186 () (not (tptp.ilf_type @t183 (tptp.subset_type (tptp.cross_product @t1 @t185))))) % 76.86/77.09 (define @t187 () (not (tptp.ilf_type @t185 tptp.set_type))) % 76.86/77.09 (define @t188 () (or @t187 @t186 @t184)) % 76.86/77.09 (define @t189 () (or @t128 @t188)) % 76.86/77.09 (define @t190 () (forall (@list @t1 @t185 @t183) @t189)) % 76.86/77.09 (define @t191 () (@list @t185 @t183)) % 76.86/77.09 (define @t192 () (forall @t191 @t189)) % 76.86/77.09 (define @t193 () (forall @t191 @t188)) % 76.86/77.09 (define @t194 () (@var "BOUND_VARIABLE_8306" $$unsorted)) % 76.86/77.09 (define @t195 () (or @t128 @t193)) % 76.86/77.09 (define @t196 () (tptp.relation_like @t194)) % 76.86/77.09 (define @t197 () (not (tptp.ilf_type @t194 @t46))) % 76.86/77.09 (define @t198 () (or @t139 @t197 @t196)) % 76.86/77.09 (define @t199 () (@list @t5 @t194)) % 76.86/77.09 (define @t200 () (forall @t199 @t198)) % 76.86/77.09 (define @t201 () (or @t197 @t196)) % 76.86/77.09 (define @t202 () (or @t139 @t201)) % 76.86/77.09 (define @t203 () (forall @t199 @t202)) % 76.86/77.09 (define @t204 () (@list @t194)) % 76.86/77.09 (define @t205 () (forall @t204 @t202)) % 76.86/77.09 (define @t206 () (forall @t204 @t201)) % 76.86/77.09 (define @t207 () (or @t139 @t206)) % 76.86/77.09 (define @t208 () (not @t51)) % 76.86/77.09 (define @t209 () (forall @t16 (or @t208 @t78))) % 76.86/77.09 (define @t210 () (@quantifiers_skolemize @t170 0)) % 76.86/77.09 (define @t211 () (@quantifiers_skolemize @t170 2)) % 76.86/77.09 (define @t212 () (@var "BOUND_VARIABLE_7983" $$unsorted)) % 76.86/77.09 (define @t213 () (tptp.subset_type (tptp.cross_product @t1 @t212))) % 76.86/77.09 (define @t214 () (@var "BOUND_VARIABLE_7987" $$unsorted)) % 76.86/77.09 (define @t215 () (tptp.relation_type @t1 @t212)) % 76.86/77.09 (define @t216 () (@var "BOUND_VARIABLE_7985" $$unsorted)) % 76.86/77.09 (define @t217 () (and (or (not (tptp.ilf_type @t216 @t213)) (tptp.ilf_type @t216 @t215)) (or (not (tptp.ilf_type @t214 @t215)) (tptp.ilf_type @t214 @t213)))) % 76.86/77.09 (define @t218 () (not (tptp.ilf_type @t212 tptp.set_type))) % 76.86/77.09 (define @t219 () (or @t218 @t217)) % 76.86/77.09 (define @t220 () (or @t128 @t219)) % 76.86/77.09 (define @t221 () (forall (@list @t1 @t212 @t216 @t214) @t220)) % 76.86/77.09 (define @t222 () (@list @t212 @t216 @t214)) % 76.86/77.09 (define @t223 () (forall @t222 @t220)) % 76.86/77.09 (define @t224 () (forall @t222 @t219)) % 76.86/77.09 (define @t225 () (@var "BOUND_VARIABLE_7969" $$unsorted)) % 76.86/77.09 (define @t226 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 76.86/77.09 (define @t227 () (or @t128 @t224)) % 76.86/77.09 (define @t228 () (or (not (tptp.ilf_type @t225 @t32)) (tptp.ilf_type @t225 @t46))) % 76.86/77.09 (define @t229 () (or (not (tptp.ilf_type @t226 @t46)) (tptp.ilf_type @t226 @t32))) % 76.86/77.09 (define @t230 () (and @t229 @t228)) % 76.86/77.09 (define @t231 () (or @t139 @t230)) % 76.86/77.09 (define @t232 () (forall (@list @t5 @t226 @t225) @t231)) % 76.86/77.09 (define @t233 () (@list @t226 @t225)) % 76.86/77.09 (define @t234 () (forall @t233 @t231)) % 76.86/77.09 (define @t235 () (forall (@list @t225) @t228)) % 76.86/77.09 (define @t236 () (@list @t2)) % 76.86/77.09 (define @t237 () (forall @t233 @t228)) % 76.86/77.09 (define @t238 () (forall (@list @t226) @t229)) % 76.86/77.09 (define @t239 () (forall @t233 @t229)) % 76.86/77.09 (define @t240 () (and @t239 @t237)) % 76.86/77.09 (define @t241 () (forall @t233 @t230)) % 76.86/77.09 (define @t242 () (or @t139 @t241)) % 76.86/77.09 (define @t243 () (and (forall @t16 (or @t208 @t50)) (forall @t10 (or (not @t48) @t47)))) % 76.86/77.09 (define @t244 () (or @t167 @t166 @t165 @t164 @t163 @t162 @t161)) % 76.86/77.09 (define @t245 () (or @t66 @t128 @t244)) % 76.86/77.09 (define @t246 () (forall @t169 @t245)) % 76.86/77.09 (define @t247 () (@list @t157 @t160 @t158 @t159)) % 76.86/77.09 (define @t248 () (forall @t247 @t245)) % 76.86/77.09 (define @t249 () (forall @t247 @t244)) % 76.86/77.09 (define @t250 () (@var "BOUND_VARIABLE_8547" $$unsorted)) % 76.86/77.09 (define @t251 () (@var "BOUND_VARIABLE_8545" $$unsorted)) % 76.86/77.09 (define @t252 () (@var "BOUND_VARIABLE_8543" $$unsorted)) % 76.86/77.09 (define @t253 () (or @t66 @t128 @t249)) % 76.86/77.09 (define @t254 () (not @t95)) % 76.86/77.09 (define @t255 () (= (tptp.member @t250 (tptp.image4 @t252 @t1 @t251 @t5)) (not (forall @t99 (or (not (tptp.ilf_type @t94 (tptp.member_type @t252))) (not (tptp.member (tptp.ordered_pair @t94 @t250) @t251)) @t254))))) % 76.86/77.09 (define @t256 () (not (tptp.ilf_type @t250 @t65))) % 76.86/77.09 (define @t257 () (not (tptp.ilf_type @t251 (tptp.relation_type @t252 @t1)))) % 76.86/77.09 (define @t258 () (not (tptp.ilf_type @t252 tptp.set_type))) % 76.86/77.09 (define @t259 () (tptp.empty @t252)) % 76.86/77.09 (define @t260 () (or @t59 @t139 @t259 @t258 @t257 @t256 @t255)) % 76.86/77.09 (define @t261 () (@list @t5 @t252 @t251 @t250)) % 76.86/77.09 (define @t262 () (forall @t261 @t260)) % 76.86/77.09 (define @t263 () (or @t66 @t128 @t262)) % 76.86/77.09 (define @t264 () (or @t259 @t258 @t257 @t256 @t255)) % 76.86/77.09 (define @t265 () (or @t59 @t139 @t264)) % 76.86/77.09 (define @t266 () (forall @t261 @t265)) % 76.86/77.09 (define @t267 () (@list @t252 @t251 @t250)) % 76.86/77.09 (define @t268 () (forall @t267 @t265)) % 76.86/77.09 (define @t269 () (forall @t267 @t264)) % 76.86/77.09 (define @t270 () (@var "BOUND_VARIABLE_8518" $$unsorted)) % 76.86/77.09 (define @t271 () (@var "BOUND_VARIABLE_8516" $$unsorted)) % 76.86/77.09 (define @t272 () (or @t59 @t139 @t269)) % 76.86/77.09 (define @t273 () (not @t97)) % 76.86/77.09 (define @t274 () (= (tptp.member @t270 (tptp.image4 @t4 @t1 @t271 @t5)) (not (forall @t99 (or @t273 (not (tptp.member (tptp.ordered_pair @t94 @t270) @t271)) @t254))))) % 76.86/77.09 (define @t275 () (not (tptp.ilf_type @t270 @t65))) % 76.86/77.09 (define @t276 () (not (tptp.ilf_type @t271 @t107))) % 76.86/77.09 (define @t277 () (not @t38)) % 76.86/77.09 (define @t278 () (or @t111 @t277 @t276 @t275 @t274)) % 76.86/77.09 (define @t279 () (@list @t4 @t271 @t270)) % 76.86/77.09 (define @t280 () (forall @t279 @t278)) % 76.86/77.09 (define @t281 () (or @t59 @t139 @t280)) % 76.86/77.09 (define @t282 () (or @t59 @t139)) % 76.86/77.09 (define @t283 () (not @t61)) % 76.86/77.09 (define @t284 () (or @t276 @t275 @t274)) % 76.86/77.09 (define @t285 () (or @t111 @t277 @t284)) % 76.86/77.09 (define @t286 () (forall @t279 @t285)) % 76.86/77.09 (define @t287 () (@list @t271 @t270)) % 76.86/77.09 (define @t288 () (forall @t287 @t285)) % 76.86/77.09 (define @t289 () (forall @t287 @t284)) % 76.86/77.09 (define @t290 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 76.86/77.09 (define @t291 () (or @t111 @t277 @t289)) % 76.86/77.09 (define @t292 () (= (tptp.member @t290 @t101) (not (forall @t99 (or @t273 (not (tptp.member (tptp.ordered_pair @t94 @t290) @t2)) @t254))))) % 76.86/77.09 (define @t293 () (not (tptp.ilf_type @t290 @t65))) % 76.86/77.09 (define @t294 () (not @t108)) % 76.86/77.09 (define @t295 () (or @t294 @t293 @t292)) % 76.86/77.09 (define @t296 () (@list @t2 @t290)) % 76.86/77.09 (define @t297 () (forall @t296 @t295)) % 76.86/77.09 (define @t298 () (or @t111 @t277 @t297)) % 76.86/77.09 (define @t299 () (or @t293 @t292)) % 76.86/77.09 (define @t300 () (or @t294 @t299)) % 76.86/77.09 (define @t301 () (forall @t296 @t300)) % 76.86/77.09 (define @t302 () (@list @t290)) % 76.86/77.09 (define @t303 () (forall @t302 @t300)) % 76.86/77.09 (define @t304 () (forall @t302 @t299)) % 76.86/77.09 (define @t305 () (@list @t28)) % 76.86/77.09 (define @t306 () (or @t294 @t304)) % 76.86/77.09 (define @t307 () (not @t96)) % 76.86/77.09 (define @t308 () (or @t273 @t307 @t254)) % 76.86/77.09 (define @t309 () (= @t102 (not (forall @t99 @t308)))) % 76.86/77.09 (define @t310 () (forall @t34 (or (not @t104) @t309))) % 76.86/77.09 (define @t311 () (forall @t99 (not @t98))) % 76.86/77.09 (define @t312 () (not @t311)) % 76.86/77.09 (define @t313 () (tptp.ilf_type @t211 tptp.set_type)) % 76.86/77.09 (define @t314 () (tptp.member_type @t211)) % 76.86/77.09 (define @t315 () (forall @t99 (or (not (tptp.ilf_type @t94 @t314)) (not (tptp.member (tptp.ordered_pair @t94 @t172) @t171)) (not (tptp.member @t94 @t173))))) % 76.86/77.09 (define @t316 () (not @t315)) % 76.86/77.09 (define @t317 () (tptp.image4 @t211 @t210 @t171 @t173)) % 76.86/77.09 (define @t318 () (tptp.member @t172 @t317)) % 76.86/77.09 (define @t319 () (= @t318 @t316)) % 76.86/77.09 (define @t320 () (tptp.ilf_type @t171 (tptp.relation_type @t211 @t210))) % 76.86/77.09 (define @t321 () (not @t320)) % 76.86/77.09 (define @t322 () (not @t313)) % 76.86/77.09 (define @t323 () (tptp.empty @t211)) % 76.86/77.09 (define @t324 () (tptp.ilf_type @t173 tptp.set_type)) % 76.86/77.09 (define @t325 () (not @t324)) % 76.86/77.09 (define @t326 () (tptp.ilf_type @t210 tptp.set_type)) % 76.86/77.09 (define @t327 () (not @t326)) % 76.86/77.09 (define @t328 () (or (tptp.empty @t210) @t327 (tptp.empty @t173) @t325 @t323 @t322 @t321 (not (tptp.ilf_type @t172 (tptp.member_type @t210))) @t319)) % 76.86/77.09 (define @t329 () (@list true)) % 76.86/77.09 (define @t330 () (@list @t328)) % 76.86/77.09 (define @t331 () (tptp.ilf_type @t171 (tptp.subset_type (tptp.cross_product @t211 @t210)))) % 76.86/77.09 (define @t332 () (or @t321 @t331)) % 76.86/77.09 (define @t333 () (not @t331)) % 76.86/77.09 (define @t334 () (and (or @t333 @t320) @t332)) % 76.86/77.09 (define @t335 () (or @t322 @t327 @t334)) % 76.86/77.09 (define @t336 () (@list false false false)) % 76.86/77.09 (define @t337 () (@list false)) % 76.86/77.09 (define @t338 () (or @t322 @t327 @t333 @t176)) % 76.86/77.09 (define @t339 () (@list false false false false)) % 76.86/77.09 (define @t340 () (forall @t10 (or @t124 (not (tptp.member (tptp.ordered_pair @t2 @t172) @t171)) (not (tptp.member @t2 @t173))))) % 76.86/77.09 (define @t341 () (not @t340)) % 76.86/77.09 (define @t342 () (tptp.image @t171 @t173)) % 76.86/77.09 (define @t343 () (tptp.member @t172 @t342)) % 76.86/77.09 (define @t344 () (= @t343 @t341)) % 76.86/77.09 (define @t345 () (not @t178)) % 76.86/77.09 (define @t346 () (tptp.ilf_type @t172 tptp.set_type)) % 76.86/77.09 (define @t347 () (not @t346)) % 76.86/77.09 (define @t348 () (or @t325 @t347 @t345 @t344)) % 76.86/77.09 (define @t349 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 76.86/77.09 (define @t350 () (@var "BOUND_VARIABLE_8386" $$unsorted)) % 76.86/77.09 (define @t351 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 76.86/77.09 (define @t352 () (= (tptp.image4 @t1 @t351 @t350 @t349) (tptp.image @t350 @t349))) % 76.86/77.09 (define @t353 () (not (tptp.ilf_type @t349 tptp.set_type))) % 76.86/77.09 (define @t354 () (not (tptp.ilf_type @t350 (tptp.relation_type @t1 @t351)))) % 76.86/77.09 (define @t355 () (not (tptp.ilf_type @t351 tptp.set_type))) % 76.86/77.09 (define @t356 () (or @t355 @t354 @t353 @t352)) % 76.86/77.09 (define @t357 () (or @t128 @t356)) % 76.86/77.09 (define @t358 () (forall (@list @t1 @t351 @t350 @t349) @t357)) % 76.86/77.09 (define @t359 () (@list @t351 @t350 @t349)) % 76.86/77.09 (define @t360 () (forall @t359 @t357)) % 76.86/77.09 (define @t361 () (forall @t359 @t356)) % 76.86/77.09 (define @t362 () (@var "BOUND_VARIABLE_8365" $$unsorted)) % 76.86/77.09 (define @t363 () (@var "BOUND_VARIABLE_8363" $$unsorted)) % 76.86/77.09 (define @t364 () (or @t128 @t361)) % 76.86/77.09 (define @t365 () (= (tptp.image4 @t1 @t5 @t363 @t362) (tptp.image @t363 @t362))) % 76.86/77.09 (define @t366 () (not (tptp.ilf_type @t362 tptp.set_type))) % 76.86/77.09 (define @t367 () (not (tptp.ilf_type @t363 @t32))) % 76.86/77.09 (define @t368 () (or @t139 @t367 @t366 @t365)) % 76.86/77.09 (define @t369 () (@list @t5 @t363 @t362)) % 76.86/77.09 (define @t370 () (forall @t369 @t368)) % 76.86/77.09 (define @t371 () (or @t367 @t366 @t365)) % 76.86/77.09 (define @t372 () (or @t139 @t371)) % 76.86/77.09 (define @t373 () (forall @t369 @t372)) % 76.86/77.09 (define @t374 () (@list @t363 @t362)) % 76.86/77.09 (define @t375 () (forall @t374 @t372)) % 76.86/77.09 (define @t376 () (forall @t374 @t371)) % 76.86/77.09 (define @t377 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 76.86/77.09 (define @t378 () (or @t139 @t376)) % 76.86/77.09 (define @t379 () (= (tptp.image4 @t1 @t5 @t4 @t377) (tptp.image @t4 @t377))) % 76.86/77.09 (define @t380 () (not (tptp.ilf_type @t377 tptp.set_type))) % 76.86/77.09 (define @t381 () (not @t50)) % 76.86/77.09 (define @t382 () (or @t381 @t380 @t379)) % 76.86/77.09 (define @t383 () (@list @t4 @t377)) % 76.86/77.09 (define @t384 () (forall @t383 @t382)) % 76.86/77.09 (define @t385 () (or @t380 @t379)) % 76.86/77.09 (define @t386 () (or @t381 @t385)) % 76.86/77.09 (define @t387 () (forall @t383 @t386)) % 76.86/77.09 (define @t388 () (@list @t377)) % 76.86/77.09 (define @t389 () (forall @t388 @t386)) % 76.86/77.09 (define @t390 () (forall @t388 @t385)) % 76.86/77.09 (define @t391 () (or @t381 @t390)) % 76.86/77.09 (define @t392 () (forall @t10 (or @t124 @t85))) % 76.86/77.09 (define @t393 () (= @t317 @t342)) % 76.86/77.09 (define @t394 () (or @t322 @t327 @t321 @t325 @t393)) % 76.86/77.09 (define @t395 () (not @t318)) % 76.86/77.09 (define @t396 () (not @t316)) % 76.86/77.09 (define @t397 () (and @t318 @t393)) % 76.86/77.09 (define @t398 () (@quantifiers_skolemize @t340 0)) % 76.86/77.09 (define @t399 () (@list @t398)) % 76.86/77.09 (define @t400 () (tptp.member @t398 @t173)) % 76.86/77.09 (define @t401 () (not @t400)) % 76.86/77.09 (define @t402 () (tptp.member (tptp.ordered_pair @t398 @t172) @t171)) % 76.86/77.09 (define @t403 () (not @t402)) % 76.86/77.09 (define @t404 () (tptp.ilf_type @t398 @t314)) % 76.86/77.09 (define @t405 () (not @t404)) % 76.86/77.09 (define @t406 () (or @t405 @t403 @t401)) % 76.86/77.09 (define @t407 () (not @t344)) % 76.86/77.09 (define @t408 () (not @t343)) % 76.86/77.09 (define @t409 () (tptp.ilf_type @t398 tptp.set_type)) % 76.86/77.09 (define @t410 () (not @t409)) % 76.86/77.09 (define @t411 () (or @t410 @t403 @t401)) % 76.86/77.09 (define @t412 () (not @t411)) % 76.86/77.09 (define @t413 () (not @t341)) % 76.86/77.09 (define @t414 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 76.86/77.09 (define @t415 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 76.86/77.09 (define @t416 () (@var "BOUND_VARIABLE_7840" $$unsorted)) % 76.86/77.09 (define @t417 () (not (tptp.member (tptp.ordered_pair @t416 @t415) @t414))) % 76.86/77.09 (define @t418 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 76.86/77.09 (define @t419 () (not (tptp.ilf_type @t414 (tptp.relation_type @t1 @t418)))) % 76.86/77.09 (define @t420 () (and (tptp.member @t416 @t1) (tptp.member @t415 @t418))) % 76.86/77.09 (define @t421 () (not (tptp.ilf_type @t415 tptp.set_type))) % 76.86/77.09 (define @t422 () (not (tptp.ilf_type @t416 tptp.set_type))) % 76.86/77.09 (define @t423 () (not (tptp.ilf_type @t418 tptp.set_type))) % 76.86/77.09 (define @t424 () (or @t423 @t422 @t421 @t420 @t419 @t417)) % 76.86/77.09 (define @t425 () (or @t128 @t424)) % 76.86/77.09 (define @t426 () (forall (@list @t1 @t418 @t416 @t415 @t414) @t425)) % 76.86/77.09 (define @t427 () (@list @t418 @t416 @t415 @t414)) % 76.86/77.09 (define @t428 () (forall @t427 @t425)) % 76.86/77.09 (define @t429 () (forall @t427 @t424)) % 76.86/77.09 (define @t430 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 76.86/77.09 (define @t431 () (@var "BOUND_VARIABLE_7812" $$unsorted)) % 76.86/77.09 (define @t432 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 76.86/77.09 (define @t433 () (or @t128 @t429)) % 76.86/77.09 (define @t434 () (not (tptp.member (tptp.ordered_pair @t432 @t431) @t430))) % 76.86/77.09 (define @t435 () (not (tptp.ilf_type @t430 @t32))) % 76.86/77.09 (define @t436 () (and (tptp.member @t432 @t1) (tptp.member @t431 @t5))) % 76.86/77.09 (define @t437 () (not (tptp.ilf_type @t431 tptp.set_type))) % 76.86/77.09 (define @t438 () (not (tptp.ilf_type @t432 tptp.set_type))) % 76.86/77.09 (define @t439 () (or @t139 @t438 @t437 @t436 @t435 @t434)) % 76.86/77.09 (define @t440 () (@list @t5 @t432 @t431 @t430)) % 76.86/77.09 (define @t441 () (forall @t440 @t439)) % 76.86/77.09 (define @t442 () (or @t438 @t437 @t436 @t435 @t434)) % 76.86/77.09 (define @t443 () (or @t139 @t442)) % 76.86/77.09 (define @t444 () (forall @t440 @t443)) % 76.86/77.09 (define @t445 () (@list @t432 @t431 @t430)) % 76.86/77.09 (define @t446 () (forall @t445 @t443)) % 76.86/77.09 (define @t447 () (forall @t445 @t442)) % 76.86/77.09 (define @t448 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 76.86/77.09 (define @t449 () (@var "BOUND_VARIABLE_7787" $$unsorted)) % 76.86/77.09 (define @t450 () (or @t139 @t447)) % 76.86/77.09 (define @t451 () (not (tptp.member (tptp.ordered_pair @t4 @t449) @t448))) % 76.86/77.09 (define @t452 () (not (tptp.ilf_type @t448 @t32))) % 76.86/77.09 (define @t453 () (and @t26 (tptp.member @t449 @t5))) % 76.86/77.09 (define @t454 () (not (tptp.ilf_type @t449 tptp.set_type))) % 76.86/77.09 (define @t455 () (or @t277 @t454 @t453 @t452 @t451)) % 76.86/77.09 (define @t456 () (@list @t4 @t449 @t448)) % 76.86/77.09 (define @t457 () (forall @t456 @t455)) % 76.86/77.09 (define @t458 () (or @t454 @t453 @t452 @t451)) % 76.86/77.09 (define @t459 () (or @t277 @t458)) % 76.86/77.09 (define @t460 () (forall @t456 @t459)) % 76.86/77.09 (define @t461 () (@list @t449 @t448)) % 76.86/77.09 (define @t462 () (forall @t461 @t459)) % 76.86/77.09 (define @t463 () (forall @t461 @t458)) % 76.86/77.09 (define @t464 () (@var "BOUND_VARIABLE_7770" $$unsorted)) % 76.86/77.09 (define @t465 () (or @t277 @t463)) % 76.86/77.09 (define @t466 () (not (tptp.member @t29 @t464))) % 76.86/77.09 (define @t467 () (not (tptp.ilf_type @t464 @t32))) % 76.86/77.09 (define @t468 () (or @t124 @t27 @t467 @t466)) % 76.86/77.09 (define @t469 () (@list @t2 @t464)) % 76.86/77.09 (define @t470 () (forall @t469 @t468)) % 76.86/77.09 (define @t471 () (or @t467 @t466)) % 76.86/77.09 (define @t472 () (or @t124 @t27 @t471)) % 76.86/77.09 (define @t473 () (forall @t469 @t472)) % 76.86/77.09 (define @t474 () (@list @t464)) % 76.86/77.09 (define @t475 () (forall @t474 @t472)) % 76.86/77.09 (define @t476 () (forall @t474 @t471)) % 76.86/77.09 (define @t477 () (or @t124 @t27 @t476)) % 76.86/77.09 (define @t478 () (not @t30)) % 76.86/77.09 (define @t479 () (not @t33)) % 76.86/77.09 (define @t480 () (or @t479 @t478)) % 76.86/77.09 (define @t481 () (forall @t34 @t480)) % 76.86/77.09 (define @t482 () (or @t124 @t27 @t481)) % 76.86/77.09 (define @t483 () (or @t27 @t481)) % 76.86/77.09 (define @t484 () (or @t27 @t480)) % 76.86/77.09 (define @t485 () (or @t479 @t478 @t27)) % 76.86/77.09 (define @t486 () (tptp.member @t398 @t211)) % 76.86/77.09 (define @t487 () (and @t486 (tptp.member @t172 @t210))) % 76.86/77.09 (define @t488 () (or @t322 @t327 @t410 @t347 @t487 @t321 @t403)) % 76.86/77.09 (define @t489 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 76.86/77.09 (define @t490 () (= (tptp.ilf_type @t1 (tptp.member_type @t489)) (tptp.member @t1 @t489))) % 76.86/77.09 (define @t491 () (not (tptp.ilf_type @t489 tptp.set_type))) % 76.86/77.09 (define @t492 () (tptp.empty @t489)) % 76.86/77.09 (define @t493 () (or @t492 @t491 @t490)) % 76.86/77.09 (define @t494 () (or @t128 @t493)) % 76.86/77.09 (define @t495 () (forall (@list @t1 @t489) @t494)) % 76.86/77.09 (define @t496 () (@list @t489)) % 76.86/77.09 (define @t497 () (forall @t496 @t494)) % 76.86/77.09 (define @t498 () (forall @t496 @t493)) % 76.86/77.09 (define @t499 () (or @t128 @t498)) % 76.86/77.09 (define @t500 () (or @t59 @t139 @t58)) % 76.86/77.09 (define @t501 () (forall @t20 @t500)) % 76.86/77.09 (define @t502 () (= @t404 @t486)) % 76.86/77.09 (define @t503 () (or @t410 @t323 @t322 @t502)) % 76.86/77.09 (define @t504 () (not @t393)) % 76.86/77.09 (define @t505 () (and @t395 @t393)) % 76.86/77.09 (define @t506 () (@list true false)) % 76.86/77.09 (define @t507 () (@quantifiers_skolemize @t315 0)) % 76.86/77.09 (define @t508 () (@list @t507)) % 76.86/77.09 (define @t509 () (tptp.member @t507 @t173)) % 76.86/77.09 (define @t510 () (not @t509)) % 76.86/77.09 (define @t511 () (tptp.member (tptp.ordered_pair @t507 @t172) @t171)) % 76.86/77.09 (define @t512 () (not @t511)) % 76.86/77.09 (define @t513 () (tptp.ilf_type @t507 tptp.set_type)) % 76.86/77.09 (define @t514 () (not @t513)) % 76.86/77.09 (define @t515 () (or @t514 @t512 @t510)) % 76.86/77.09 (define @t516 () (or (not (tptp.ilf_type @t507 @t314)) @t512 @t510)) % 76.86/77.09 (define @t517 () (not @t516)) % 76.86/77.09 (define @t518 () (@list @t516)) % 76.86/77.09 (assume @p1 @t25) % 76.86/77.09 (assume @p2 @t44) % 76.86/77.09 (assume @p3 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (forall @t16 (=> @t38 (forall @t10 (=> @t8 (forall @t34 (=> (tptp.ilf_type @t28 tptp.set_type) (= (= @t28 @t29) (= @t28 (tptp.unordered_pair (tptp.unordered_pair @t4 @t2) (tptp.singleton @t4))))))))))))))) % 76.86/77.09 (assume @p4 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (tptp.ilf_type (tptp.ordered_pair @t1 @t5) tptp.set_type)))))) % 76.86/77.09 (assume @p5 @t57) % 76.86/77.09 (assume @p6 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (exists @t16 (tptp.ilf_type @t4 (tptp.relation_type @t5 @t1)))))))) % 76.86/77.09 (assume @p7 @t64) % 76.86/77.09 (assume @p8 (forall @t24 (=> @t68 (exists @t20 (tptp.ilf_type @t5 @t65))))) % 76.86/77.09 (assume @p9 (forall @t24 (=> @t22 (= @t66 (forall @t20 (=> @t18 (not @t69))))))) % 76.86/77.09 (assume @p10 (forall @t24 (=> @t22 (tptp.ilf_type (tptp.singleton @t1) tptp.set_type)))) % 76.86/77.09 (assume @p11 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (tptp.ilf_type @t45 tptp.set_type)))))) % 76.86/77.09 (assume @p12 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (tptp.ilf_type @t70 tptp.set_type)))))) % 76.86/77.09 (assume @p13 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (= @t70 (tptp.unordered_pair @t5 @t1))))))) % 76.86/77.09 (assume @p14 (forall @t24 (=> @t71 (forall @t20 (=> @t18 (tptp.ilf_type (tptp.image @t1 @t5) tptp.set_type)))))) % 76.86/77.09 (assume @p15 @t74) % 76.86/77.09 (assume @p16 (exists @t24 @t71)) % 76.86/77.09 (assume @p17 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (= @t76 (tptp.ilf_type @t5 (tptp.member_type @t75)))))))) % 76.86/77.09 (assume @p18 (forall @t24 (=> @t22 (exists @t20 @t76)))) % 76.86/77.09 (assume @p19 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (= (= @t1 @t5) (forall @t16 (=> @t38 (= @t26 @t77))))))))) % 76.86/77.09 (assume @p20 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (= (tptp.member @t1 (tptp.power_set @t5)) (forall @t16 (=> @t38 (=> @t26 @t77))))))))) % 76.86/77.09 (assume @p21 (forall @t24 (=> @t22 (and (not (tptp.empty @t75)) (tptp.ilf_type @t75 tptp.set_type))))) % 76.86/77.09 (assume @p22 (forall @t24 (=> @t22 (= @t72 (forall @t20 (=> @t18 (=> @t69 (exists @t16 (and @t38 (exists @t10 (and @t8 (= @t5 @t29)))))))))))) % 76.86/77.09 (assume @p23 (forall @t24 (=> (and @t66 @t22) @t72))) % 76.86/77.09 (assume @p24 @t83) % 76.86/77.09 (assume @p25 @t92) % 76.86/77.09 (assume @p26 (forall @t24 (=> @t22 (forall @t20 (=> @t18 (forall @t16 (=> @t50 (forall @t10 (=> @t8 (tptp.ilf_type @t84 (tptp.subset_type @t5))))))))))) % 76.86/77.09 (assume @p27 @t93) % 76.86/77.09 (assume @p28 @t120) % 76.86/77.09 (assume @p29 true) % 76.86/77.09 (step @p30 :rule aci_norm :args ((= @t130 (or @t128 @t127 @t126 @t125)))) % 76.86/77.09 (step @p31 :rule cong :premises (@p30) :args (@t131)) % 76.86/77.09 (step @p32 :rule quant-merge-prenex :args ((= (forall @t24 @t133) @t131))) % 76.86/77.09 (step @p33 :rule alpha_equiv :args (@t134 (@list @t123 @t122) (@list @t5 @t135))) % 76.86/77.09 (step @p34 :rule refl :args (@t128)) % 76.86/77.09 (step @p35 :rule nary_cong :premises (@p34 @p33) :args (@t136)) % 76.86/77.09 (step @p36 :rule quant-miniscope-or :args ((= @t133 @t136))) % 76.86/77.09 (step @p37 :rule trans :premises (@p36 @p35)) % 76.86/77.09 (step @p38 :rule symm :premises (@p37)) % 76.86/77.09 (step @p39 :rule cong :premises (@p38) :args ((forall @t24 (or @t128 @t142)))) % 76.86/77.09 (step @p40 :rule trans :premises (@p39 @p32)) % 76.86/77.09 (step @p41 :rule trans :premises (@p40 @p31)) % 76.86/77.09 (step @p42 :rule bool-impl-elim :args (@t22 @t142)) % 76.86/77.09 (step @p43 :rule cong :premises (@p42) :args ((forall @t24 (=> @t22 @t142)))) % 76.86/77.09 (step @p44 :rule trans :premises (@p43 @p41)) % 76.86/77.09 (step @p45 :rule aci_norm :args ((= @t144 @t140))) % 76.86/77.09 (step @p46 :rule cong :premises (@p45) :args (@t145)) % 76.86/77.09 (step @p47 :rule quant-merge-prenex :args ((= (forall @t20 @t147) @t145))) % 76.86/77.09 (step @p48 :rule alpha_equiv :args (@t148 (@list @t135) @t149)) % 76.86/77.09 (step @p49 :rule refl :args (@t139)) % 76.86/77.09 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t150)) % 76.86/77.09 (step @p51 :rule quant-miniscope-or :args ((= @t147 @t150))) % 76.86/77.09 (step @p52 :rule trans :premises (@p51 @p50)) % 76.86/77.09 (step @p53 :rule symm :premises (@p52)) % 76.86/77.09 (step @p54 :rule cong :premises (@p53) :args ((forall @t20 (or @t139 @t154)))) % 76.86/77.09 (step @p55 :rule trans :premises (@p54 @p47)) % 76.86/77.09 (step @p56 :rule trans :premises (@p55 @p46)) % 76.86/77.09 (step @p57 :rule bool-impl-elim :args (@t18 @t154)) % 76.86/77.09 (step @p58 :rule cong :premises (@p57) :args ((forall @t20 (=> @t18 @t154)))) % 76.86/77.09 (step @p59 :rule trans :premises (@p58 @p56)) % 76.86/77.09 (step @p60 :rule bool-impl-elim :args (@t14 @t153)) % 76.86/77.09 (step @p61 :rule cong :premises (@p60) :args ((forall @t16 (=> @t14 @t153)))) % 76.86/77.09 (step @p62 :rule aci_norm :args ((= (or @t124 (or @t151 @t121)) @t152))) % 76.86/77.09 (step @p63 :rule bool-and-de-morgan :args (@t7 @t3 true)) % 76.86/77.09 (step @p64 :rule refl :args (@t124)) % 76.86/77.09 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t124 (not (and @t7 @t3))))) % 76.86/77.09 (step @p66 :rule bool-and-de-morgan :args (@t8 @t7 (and @t3))) % 76.86/77.09 (step @p67 :rule trans :premises (@p66 @p65)) % 76.86/77.09 (step @p68 :rule trans :premises (@p67 @p62)) % 76.86/77.09 (step @p69 :rule cong :premises (@p68) :args (@t155)) % 76.86/77.09 (step @p70 :rule cong :premises (@p69) :args (@t156)) % 76.86/77.09 (step @p71 :rule exists-elim :args ((= @t11 @t156))) % 76.86/77.09 (step @p72 :rule trans :premises (@p71 @p70)) % 76.86/77.09 (step @p73 :rule refl :args (@t12)) % 76.86/77.09 (step @p74 :rule cong :premises (@p73 @p72) :args (@t13)) % 76.86/77.09 (step @p75 :rule refl :args (@t14)) % 76.86/77.09 (step @p76 :rule cong :premises (@p75 @p74) :args (@t15)) % 76.86/77.09 (step @p77 :rule cong :premises (@p76) :args (@t17)) % 76.86/77.09 (step @p78 :rule trans :premises (@p77 @p61)) % 76.86/77.09 (step @p79 :rule refl :args (@t18)) % 76.86/77.09 (step @p80 :rule cong :premises (@p79 @p78) :args (@t19)) % 76.86/77.09 (step @p81 :rule cong :premises (@p80) :args (@t21)) % 76.86/77.09 (step @p82 :rule trans :premises (@p81 @p59)) % 76.86/77.09 (step @p83 :rule refl :args (@t22)) % 76.86/77.09 (step @p84 :rule cong :premises (@p83 @p82) :args (@t23)) % 76.86/77.09 (step @p85 :rule cong :premises (@p84) :args (@t25)) % 76.86/77.09 (step @p86 :rule trans :premises (@p85 @p44)) % 76.86/77.09 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 76.86/77.09 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t173 @t172 @t171))) % 76.86/77.09 (step @p89 :rule bool-impl-elim :args (@t22 @t73)) % 76.86/77.09 (step @p90 :rule cong :premises (@p89) :args (@t74)) % 76.86/77.09 (step @p91 :rule eq_resolve :premises (@p15 @p90)) % 76.86/77.09 (step @p92 :rule instantiate :premises (@p91) :args (@t174)) % 76.86/77.09 (step @p93 :rule instantiate :premises (@p27) :args (@t174)) % 76.86/77.09 (step @p94 :rule cnf_or_pos :args (@t181)) % 76.86/77.09 (step @p95 :rule reordering :premises (@p94) :args ((or @t180 @t179 (not @t181)))) % 76.86/77.09 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p92) :args (@t179 @t182 (@list @t175 @t181))) % 76.86/77.09 (step @p97 :rule aci_norm :args ((= @t189 (or @t128 @t187 @t186 @t184)))) % 76.86/77.09 (step @p98 :rule cong :premises (@p97) :args (@t190)) % 76.86/77.09 (step @p99 :rule quant-merge-prenex :args ((= (forall @t24 @t192) @t190))) % 76.86/77.09 (step @p100 :rule alpha_equiv :args (@t193 (@list @t185 @t183) (@list @t5 @t194))) % 76.86/77.09 (step @p101 :rule nary_cong :premises (@p34 @p100) :args (@t195)) % 76.86/77.09 (step @p102 :rule quant-miniscope-or :args ((= @t192 @t195))) % 76.86/77.09 (step @p103 :rule trans :premises (@p102 @p101)) % 76.86/77.09 (step @p104 :rule symm :premises (@p103)) % 76.86/77.09 (step @p105 :rule cong :premises (@p104) :args ((forall @t24 (or @t128 @t200)))) % 76.86/77.09 (step @p106 :rule trans :premises (@p105 @p99)) % 76.86/77.09 (step @p107 :rule trans :premises (@p106 @p98)) % 76.86/77.09 (step @p108 :rule bool-impl-elim :args (@t22 @t200)) % 76.86/77.09 (step @p109 :rule cong :premises (@p108) :args ((forall @t24 (=> @t22 @t200)))) % 76.86/77.09 (step @p110 :rule trans :premises (@p109 @p107)) % 76.86/77.09 (step @p111 :rule aci_norm :args ((= @t202 @t198))) % 76.86/77.09 (step @p112 :rule cong :premises (@p111) :args (@t203)) % 76.86/77.09 (step @p113 :rule quant-merge-prenex :args ((= (forall @t20 @t205) @t203))) % 76.86/77.09 (step @p114 :rule alpha_equiv :args (@t206 (@list @t194) @t149)) % 76.86/77.09 (step @p115 :rule nary_cong :premises (@p49 @p114) :args (@t207)) % 76.86/77.09 (step @p116 :rule quant-miniscope-or :args ((= @t205 @t207))) % 76.86/77.09 (step @p117 :rule trans :premises (@p116 @p115)) % 76.86/77.09 (step @p118 :rule symm :premises (@p117)) % 76.86/77.09 (step @p119 :rule cong :premises (@p118) :args ((forall @t20 (or @t139 @t209)))) % 76.86/77.09 (step @p120 :rule trans :premises (@p119 @p113)) % 76.86/77.09 (step @p121 :rule trans :premises (@p120 @p112)) % 76.86/77.09 (step @p122 :rule bool-impl-elim :args (@t18 @t209)) % 76.86/77.09 (step @p123 :rule cong :premises (@p122) :args ((forall @t20 (=> @t18 @t209)))) % 76.86/77.09 (step @p124 :rule trans :premises (@p123 @p121)) % 76.86/77.09 (step @p125 :rule bool-impl-elim :args (@t51 @t78)) % 76.86/77.09 (step @p126 :rule cong :premises (@p125) :args (@t79)) % 76.86/77.09 (step @p127 :rule cong :premises (@p79 @p126) :args (@t80)) % 76.86/77.09 (step @p128 :rule cong :premises (@p127) :args (@t81)) % 76.86/77.09 (step @p129 :rule trans :premises (@p128 @p124)) % 76.86/77.09 (step @p130 :rule cong :premises (@p83 @p129) :args (@t82)) % 76.86/77.09 (step @p131 :rule cong :premises (@p130) :args (@t83)) % 76.86/77.09 (step @p132 :rule trans :premises (@p131 @p110)) % 76.86/77.09 (step @p133 :rule eq_resolve :premises (@p24 @p132)) % 76.86/77.09 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t211 @t210 @t171))) % 76.86/77.09 (step @p135 :rule aci_norm :args ((= @t220 (or @t128 @t218 @t217)))) % 76.86/77.09 (step @p136 :rule cong :premises (@p135) :args (@t221)) % 76.86/77.09 (step @p137 :rule quant-merge-prenex :args ((= (forall @t24 @t223) @t221))) % 76.86/77.09 (step @p138 :rule alpha_equiv :args (@t224 (@list @t212 @t216 @t214) (@list @t5 @t226 @t225))) % 76.86/77.09 (step @p139 :rule nary_cong :premises (@p34 @p138) :args (@t227)) % 76.86/77.09 (step @p140 :rule quant-miniscope-or :args ((= @t223 @t227))) % 76.86/77.09 (step @p141 :rule trans :premises (@p140 @p139)) % 76.86/77.09 (step @p142 :rule symm :premises (@p141)) % 76.86/77.09 (step @p143 :rule cong :premises (@p142) :args ((forall @t24 (or @t128 @t232)))) % 76.86/77.09 (step @p144 :rule trans :premises (@p143 @p137)) % 76.86/77.09 (step @p145 :rule trans :premises (@p144 @p136)) % 76.86/77.09 (step @p146 :rule bool-impl-elim :args (@t22 @t232)) % 76.86/77.09 (step @p147 :rule cong :premises (@p146) :args ((forall @t24 (=> @t22 @t232)))) % 76.86/77.09 (step @p148 :rule trans :premises (@p147 @p145)) % 76.86/77.09 (step @p149 :rule quant-merge-prenex :args ((= (forall @t20 @t234) @t232))) % 76.86/77.09 (step @p150 :rule alpha_equiv :args (@t235 (@list @t225) @t236)) % 76.86/77.09 (step @p151 :rule quant-unused-vars :args ((= @t237 @t235))) % 76.86/77.09 (step @p152 :rule trans :premises (@p151 @p150)) % 76.86/77.09 (step @p153 :rule alpha_equiv :args (@t238 (@list @t226) @t149)) % 76.86/77.09 (step @p154 :rule quant-unused-vars :args ((= @t239 @t238))) % 76.86/77.09 (step @p155 :rule trans :premises (@p154 @p153)) % 76.86/77.09 (step @p156 :rule nary_cong :premises (@p155 @p152) :args (@t240)) % 76.86/77.09 (step @p157 :rule quant-miniscope-and :args ((= @t241 @t240))) % 76.86/77.09 (step @p158 :rule trans :premises (@p157 @p156)) % 76.86/77.09 (step @p159 :rule nary_cong :premises (@p49 @p158) :args (@t242)) % 76.86/77.09 (step @p160 :rule quant-miniscope-or :args ((= @t234 @t242))) % 76.86/77.09 (step @p161 :rule trans :premises (@p160 @p159)) % 76.86/77.09 (step @p162 :rule symm :premises (@p161)) % 76.86/77.09 (step @p163 :rule cong :premises (@p162) :args ((forall @t20 (or @t139 @t243)))) % 76.86/77.09 (step @p164 :rule trans :premises (@p163 @p149)) % 76.86/77.09 (step @p165 :rule bool-impl-elim :args (@t18 @t243)) % 76.86/77.09 (step @p166 :rule cong :premises (@p165) :args ((forall @t20 (=> @t18 @t243)))) % 76.86/77.09 (step @p167 :rule trans :premises (@p166 @p164)) % 76.86/77.09 (step @p168 :rule bool-impl-elim :args (@t48 @t47)) % 76.86/77.09 (step @p169 :rule cong :premises (@p168) :args (@t49)) % 76.86/77.09 (step @p170 :rule bool-impl-elim :args (@t51 @t50)) % 76.86/77.09 (step @p171 :rule cong :premises (@p170) :args (@t52)) % 76.86/77.09 (step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t53)) % 76.86/77.09 (step @p173 :rule cong :premises (@p79 @p172) :args (@t54)) % 76.86/77.09 (step @p174 :rule cong :premises (@p173) :args (@t55)) % 76.86/77.09 (step @p175 :rule trans :premises (@p174 @p167)) % 76.86/77.09 (step @p176 :rule cong :premises (@p83 @p175) :args (@t56)) % 76.86/77.09 (step @p177 :rule cong :premises (@p176) :args (@t57)) % 76.86/77.09 (step @p178 :rule trans :premises (@p177 @p148)) % 76.86/77.09 (step @p179 :rule eq_resolve :premises (@p5 @p178)) % 76.86/77.09 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t211 @t210 @t171 @t171))) % 76.86/77.09 (step @p181 :rule aci_norm :args ((= @t245 @t168))) % 76.86/77.09 (step @p182 :rule cong :premises (@p181) :args (@t246)) % 76.86/77.09 (step @p183 :rule quant-merge-prenex :args ((= (forall @t24 @t248) @t246))) % 76.86/77.09 (step @p184 :rule alpha_equiv :args (@t249 (@list @t157 @t160 @t158 @t159) (@list @t5 @t252 @t251 @t250))) % 76.86/77.09 (step @p185 :rule refl :args (@t66)) % 76.86/77.09 (step @p186 :rule nary_cong :premises (@p185 @p34 @p184) :args (@t253)) % 76.86/77.09 (step @p187 :rule quant-miniscope-or :args ((= @t248 @t253))) % 76.86/77.09 (step @p188 :rule trans :premises (@p187 @p186)) % 76.86/77.09 (step @p189 :rule symm :premises (@p188)) % 76.86/77.09 (step @p190 :rule cong :premises (@p189) :args ((forall @t24 @t263))) % 76.86/77.09 (step @p191 :rule trans :premises (@p190 @p183)) % 76.86/77.09 (step @p192 :rule trans :premises (@p191 @p182)) % 76.86/77.09 (step @p193 :rule aci_norm :args ((= (or (or @t66 @t128) @t262) @t263))) % 76.86/77.09 (step @p194 :rule refl :args (@t262)) % 76.86/77.09 (step @p195 :rule bool-double-not-elim :args (@t66)) % 76.86/77.09 (step @p196 :rule nary_cong :premises (@p195 @p34) :args ((or (not @t67) @t128))) % 76.86/77.09 (step @p197 :rule bool-and-de-morgan :args (@t67 @t22 true)) % 76.86/77.09 (step @p198 :rule trans :premises (@p197 @p196)) % 76.86/77.09 (step @p199 :rule nary_cong :premises (@p198 @p194) :args ((or (not @t68) @t262))) % 76.86/77.09 (step @p200 :rule trans :premises (@p199 @p193)) % 76.86/77.09 (step @p201 :rule bool-impl-elim :args (@t68 @t262)) % 76.86/77.09 (step @p202 :rule trans :premises (@p201 @p200)) % 76.86/77.09 (step @p203 :rule cong :premises (@p202) :args ((forall @t24 (=> @t68 @t262)))) % 76.86/77.09 (step @p204 :rule trans :premises (@p203 @p192)) % 76.86/77.09 (step @p205 :rule aci_norm :args ((= @t265 @t260))) % 76.86/77.09 (step @p206 :rule cong :premises (@p205) :args (@t266)) % 76.86/77.09 (step @p207 :rule quant-merge-prenex :args ((= (forall @t20 @t268) @t266))) % 76.86/77.09 (step @p208 :rule alpha_equiv :args (@t269 (@list @t252 @t251 @t250) (@list @t4 @t271 @t270))) % 76.86/77.09 (step @p209 :rule refl :args (@t59)) % 76.86/77.09 (step @p210 :rule nary_cong :premises (@p209 @p49 @p208) :args (@t272)) % 76.86/77.09 (step @p211 :rule quant-miniscope-or :args ((= @t268 @t272))) % 76.86/77.09 (step @p212 :rule trans :premises (@p211 @p210)) % 76.86/77.09 (step @p213 :rule symm :premises (@p212)) % 76.86/77.09 (step @p214 :rule cong :premises (@p213) :args ((forall @t20 @t281))) % 76.86/77.09 (step @p215 :rule trans :premises (@p214 @p207)) % 76.86/77.09 (step @p216 :rule trans :premises (@p215 @p206)) % 76.86/77.09 (step @p217 :rule aci_norm :args ((= (or @t282 @t280) @t281))) % 76.86/77.09 (step @p218 :rule refl :args (@t280)) % 76.86/77.09 (step @p219 :rule bool-double-not-elim :args (@t59)) % 76.86/77.09 (step @p220 :rule nary_cong :premises (@p219 @p49) :args ((or (not @t60) @t139))) % 76.86/77.09 (step @p221 :rule bool-and-de-morgan :args (@t60 @t18 true)) % 76.86/77.09 (step @p222 :rule trans :premises (@p221 @p220)) % 76.86/77.09 (step @p223 :rule nary_cong :premises (@p222 @p218) :args ((or @t283 @t280))) % 76.86/77.09 (step @p224 :rule trans :premises (@p223 @p217)) % 76.86/77.09 (step @p225 :rule bool-impl-elim :args (@t61 @t280)) % 76.86/77.09 (step @p226 :rule trans :premises (@p225 @p224)) % 76.86/77.09 (step @p227 :rule cong :premises (@p226) :args ((forall @t20 (=> @t61 @t280)))) % 76.86/77.09 (step @p228 :rule trans :premises (@p227 @p216)) % 76.86/77.09 (step @p229 :rule aci_norm :args ((= @t285 @t278))) % 76.86/77.09 (step @p230 :rule cong :premises (@p229) :args (@t286)) % 76.86/77.09 (step @p231 :rule quant-merge-prenex :args ((= (forall @t16 @t288) @t286))) % 76.86/77.09 (step @p232 :rule alpha_equiv :args (@t289 (@list @t271 @t270) (@list @t2 @t290))) % 76.86/77.09 (step @p233 :rule refl :args (@t277)) % 76.86/77.09 (step @p234 :rule refl :args (@t111)) % 76.86/77.09 (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args (@t291)) % 76.86/77.09 (step @p236 :rule quant-miniscope-or :args ((= @t288 @t291))) % 76.86/77.09 (step @p237 :rule trans :premises (@p236 @p235)) % 76.86/77.09 (step @p238 :rule symm :premises (@p237)) % 76.86/77.09 (step @p239 :rule cong :premises (@p238) :args ((forall @t16 @t298))) % 76.86/77.09 (step @p240 :rule trans :premises (@p239 @p231)) % 76.86/77.09 (step @p241 :rule trans :premises (@p240 @p230)) % 76.86/77.09 (step @p242 :rule aci_norm :args ((= (or (or @t111 @t277) @t297) @t298))) % 76.86/77.09 (step @p243 :rule refl :args (@t297)) % 76.86/77.09 (step @p244 :rule bool-double-not-elim :args (@t111)) % 76.86/77.09 (step @p245 :rule nary_cong :premises (@p244 @p233) :args ((or (not @t112) @t277))) % 76.86/77.09 (step @p246 :rule bool-and-de-morgan :args (@t112 @t38 true)) % 76.86/77.09 (step @p247 :rule trans :premises (@p246 @p245)) % 76.86/77.09 (step @p248 :rule nary_cong :premises (@p247 @p243) :args ((or (not @t113) @t297))) % 76.86/77.09 (step @p249 :rule trans :premises (@p248 @p242)) % 76.86/77.09 (step @p250 :rule bool-impl-elim :args (@t113 @t297)) % 76.86/77.09 (step @p251 :rule trans :premises (@p250 @p249)) % 76.86/77.09 (step @p252 :rule cong :premises (@p251) :args ((forall @t16 (=> @t113 @t297)))) % 76.86/77.09 (step @p253 :rule trans :premises (@p252 @p241)) % 76.86/77.09 (step @p254 :rule aci_norm :args ((= @t300 @t295))) % 76.86/77.09 (step @p255 :rule cong :premises (@p254) :args (@t301)) % 76.86/77.09 (step @p256 :rule quant-merge-prenex :args ((= (forall @t10 @t303) @t301))) % 76.86/77.09 (step @p257 :rule alpha_equiv :args (@t304 (@list @t290) @t305)) % 76.86/77.09 (step @p258 :rule refl :args (@t294)) % 76.86/77.09 (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t306)) % 76.86/77.09 (step @p260 :rule quant-miniscope-or :args ((= @t303 @t306))) % 76.86/77.09 (step @p261 :rule trans :premises (@p260 @p259)) % 76.86/77.09 (step @p262 :rule symm :premises (@p261)) % 76.86/77.09 (step @p263 :rule cong :premises (@p262) :args ((forall @t10 (or @t294 @t310)))) % 76.86/77.09 (step @p264 :rule trans :premises (@p263 @p256)) % 76.86/77.09 (step @p265 :rule trans :premises (@p264 @p255)) % 76.86/77.09 (step @p266 :rule bool-impl-elim :args (@t108 @t310)) % 76.86/77.09 (step @p267 :rule cong :premises (@p266) :args ((forall @t10 (=> @t108 @t310)))) % 76.86/77.09 (step @p268 :rule trans :premises (@p267 @p265)) % 76.86/77.09 (step @p269 :rule bool-impl-elim :args (@t104 @t309)) % 76.86/77.09 (step @p270 :rule cong :premises (@p269) :args ((forall @t34 (=> @t104 @t309)))) % 76.86/77.09 (step @p271 :rule aci_norm :args ((= (or @t273 (or @t307 @t254)) @t308))) % 76.86/77.09 (step @p272 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 76.86/77.09 (step @p273 :rule refl :args (@t273)) % 76.86/77.09 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t273 (not (and @t96 @t95))))) % 76.86/77.09 (step @p275 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95))) % 76.86/77.09 (step @p276 :rule trans :premises (@p275 @p274)) % 76.86/77.09 (step @p277 :rule trans :premises (@p276 @p271)) % 76.86/77.09 (step @p278 :rule cong :premises (@p277) :args (@t311)) % 76.86/77.09 (step @p279 :rule cong :premises (@p278) :args (@t312)) % 76.86/77.09 (step @p280 :rule exists-elim :args ((= @t100 @t312))) % 76.86/77.09 (step @p281 :rule trans :premises (@p280 @p279)) % 76.86/77.09 (step @p282 :rule refl :args (@t102)) % 76.86/77.09 (step @p283 :rule cong :premises (@p282 @p281) :args (@t103)) % 76.86/77.09 (step @p284 :rule refl :args (@t104)) % 76.86/77.09 (step @p285 :rule cong :premises (@p284 @p283) :args (@t105)) % 76.86/77.09 (step @p286 :rule cong :premises (@p285) :args (@t106)) % 76.86/77.09 (step @p287 :rule trans :premises (@p286 @p270)) % 76.86/77.09 (step @p288 :rule refl :args (@t108)) % 76.86/77.09 (step @p289 :rule cong :premises (@p288 @p287) :args (@t109)) % 76.86/77.09 (step @p290 :rule cong :premises (@p289) :args (@t110)) % 76.86/77.09 (step @p291 :rule trans :premises (@p290 @p268)) % 76.86/77.09 (step @p292 :rule refl :args (@t113)) % 76.86/77.09 (step @p293 :rule cong :premises (@p292 @p291) :args (@t114)) % 76.86/77.09 (step @p294 :rule cong :premises (@p293) :args (@t115)) % 76.86/77.09 (step @p295 :rule trans :premises (@p294 @p253)) % 76.86/77.09 (step @p296 :rule refl :args (@t61)) % 76.86/77.09 (step @p297 :rule cong :premises (@p296 @p295) :args (@t116)) % 76.86/77.09 (step @p298 :rule cong :premises (@p297) :args (@t117)) % 76.86/77.09 (step @p299 :rule trans :premises (@p298 @p228)) % 76.86/77.09 (step @p300 :rule refl :args (@t68)) % 76.86/77.09 (step @p301 :rule cong :premises (@p300 @p299) :args (@t118)) % 76.86/77.09 (step @p302 :rule cong :premises (@p301) :args (@t119)) % 76.86/77.09 (step @p303 :rule trans :premises (@p302 @p204)) % 76.86/77.09 (step @p304 :rule cong :premises (@p303) :args (@t120)) % 76.86/77.09 (step @p305 :rule eq_resolve :premises (@p28 @p304)) % 76.86/77.09 (step @p306 :rule skolemize :premises (@p305)) % 76.86/77.09 (step @p307 :rule bool-double-not-elim :args (@t313)) % 76.86/77.09 (step @p308 :rule refl :args (@t328)) % 76.86/77.09 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t328 (not @t322)))) % 76.86/77.09 (step @p310 :rule cnf_or_neg :args (@t328 5)) % 76.86/77.09 (step @p311 :rule eq_resolve :premises (@p310 @p309)) % 76.86/77.09 (step @p312 :rule reordering :premises (@p311) :args ((or @t313 @t328))) % 76.86/77.09 (step @p313 :rule chain_m_resolution :premises (@p312 @p306) :args (@t313 @t329 @t330)) % 76.86/77.09 (step @p314 :rule bool-double-not-elim :args (@t326)) % 76.86/77.09 (step @p315 :rule nary_cong :premises (@p308 @p314) :args ((or @t328 (not @t327)))) % 76.86/77.09 (step @p316 :rule cnf_or_neg :args (@t328 1)) % 76.86/77.09 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 76.86/77.09 (step @p318 :rule reordering :premises (@p317) :args ((or @t326 @t328))) % 76.86/77.09 (step @p319 :rule chain_m_resolution :premises (@p318 @p306) :args (@t326 @t329 @t330)) % 76.86/77.09 (step @p320 :rule cnf_or_pos :args (@t335)) % 76.86/77.09 (step @p321 :rule reordering :premises (@p320) :args ((or @t327 @t322 @t334 (not @t335)))) % 76.86/77.09 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p313 @p180) :args (@t334 @t336 (@list @t326 @t313 @t335))) % 76.86/77.09 (step @p323 :rule cnf_and_pos :args (@t334 1)) % 76.86/77.09 (step @p324 :rule reordering :premises (@p323) :args ((or @t332 (not @t334)))) % 76.86/77.09 (step @p325 :rule chain_m_resolution :premises (@p324 @p322) :args (@t332 @t337 (@list @t334))) % 76.86/77.09 (step @p326 :rule bool-double-not-elim :args (@t320)) % 76.86/77.09 (step @p327 :rule nary_cong :premises (@p308 @p326) :args ((or @t328 (not @t321)))) % 76.86/77.09 (step @p328 :rule cnf_or_neg :args (@t328 6)) % 76.86/77.09 (step @p329 :rule eq_resolve :premises (@p328 @p327)) % 76.86/77.09 (step @p330 :rule reordering :premises (@p329) :args ((or @t320 @t328))) % 76.86/77.09 (step @p331 :rule chain_m_resolution :premises (@p330 @p306) :args (@t320 @t329 @t330)) % 76.86/77.09 (step @p332 :rule cnf_or_pos :args (@t332)) % 76.86/77.09 (step @p333 :rule reordering :premises (@p332) :args ((or @t321 @t331 (not @t332)))) % 76.86/77.09 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p325) :args (@t331 @t182 (@list @t320 @t332))) % 76.86/77.09 (step @p335 :rule cnf_or_pos :args (@t338)) % 76.86/77.09 (step @p336 :rule reordering :premises (@p335) :args ((or @t327 @t322 @t176 @t333 (not @t338)))) % 76.86/77.09 (step @p337 :rule chain_m_resolution :premises (@p336 @p319 @p313 @p334 @p134) :args (@t176 @t339 (@list @t326 @t313 @t331 @t338))) % 76.86/77.09 (step @p338 :rule cnf_and_neg :args (@t177)) % 76.86/77.09 (step @p339 :rule reordering :premises (@p338) :args ((or @t180 @t177 (not @t176)))) % 76.86/77.09 (step @p340 :rule chain_m_resolution :premises (@p339 @p93 @p337) :args (@t177 @t182 (@list @t175 @t176))) % 76.86/77.09 (step @p341 :rule cnf_equiv_pos2 :args (@t179)) % 76.86/77.09 (step @p342 :rule reordering :premises (@p341) :args ((or @t178 (not @t177) (not @t179)))) % 76.86/77.09 (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p96) :args (@t178 @t182 (@list @t177 @t179))) % 76.86/77.09 (step @p344 :rule instantiate :premises (@p27) :args ((@list @t172))) % 76.86/77.09 (step @p345 :rule bool-double-not-elim :args (@t324)) % 76.86/77.09 (step @p346 :rule nary_cong :premises (@p308 @p345) :args ((or @t328 (not @t325)))) % 76.86/77.09 (step @p347 :rule cnf_or_neg :args (@t328 3)) % 76.86/77.09 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 76.86/77.09 (step @p349 :rule reordering :premises (@p348) :args ((or @t324 @t328))) % 76.86/77.09 (step @p350 :rule chain_m_resolution :premises (@p349 @p306) :args (@t324 @t329 @t330)) % 76.86/77.09 (step @p351 :rule cnf_or_pos :args (@t348)) % 76.86/77.09 (step @p352 :rule reordering :premises (@p351) :args ((or @t325 @t347 @t345 @t344 (not @t348)))) % 76.86/77.09 (step @p353 :rule chain_m_resolution :premises (@p352 @p350 @p344 @p343 @p88) :args (@t344 @t339 (@list @t324 @t346 @t178 @t348))) % 76.86/77.09 (step @p354 :rule aci_norm :args ((= @t357 (or @t128 @t355 @t354 @t353 @t352)))) % 76.86/77.09 (step @p355 :rule cong :premises (@p354) :args (@t358)) % 76.86/77.09 (step @p356 :rule quant-merge-prenex :args ((= (forall @t24 @t360) @t358))) % 76.86/77.09 (step @p357 :rule alpha_equiv :args (@t361 (@list @t351 @t350 @t349) (@list @t5 @t363 @t362))) % 76.86/77.09 (step @p358 :rule nary_cong :premises (@p34 @p357) :args (@t364)) % 76.86/77.09 (step @p359 :rule quant-miniscope-or :args ((= @t360 @t364))) % 76.86/77.09 (step @p360 :rule trans :premises (@p359 @p358)) % 76.86/77.09 (step @p361 :rule symm :premises (@p360)) % 76.86/77.09 (step @p362 :rule cong :premises (@p361) :args ((forall @t24 (or @t128 @t370)))) % 76.86/77.09 (step @p363 :rule trans :premises (@p362 @p356)) % 76.86/77.09 (step @p364 :rule trans :premises (@p363 @p355)) % 76.86/77.09 (step @p365 :rule bool-impl-elim :args (@t22 @t370)) % 76.86/77.09 (step @p366 :rule cong :premises (@p365) :args ((forall @t24 (=> @t22 @t370)))) % 76.86/77.09 (step @p367 :rule trans :premises (@p366 @p364)) % 76.86/77.09 (step @p368 :rule aci_norm :args ((= @t372 @t368))) % 76.86/77.09 (step @p369 :rule cong :premises (@p368) :args (@t373)) % 76.86/77.09 (step @p370 :rule quant-merge-prenex :args ((= (forall @t20 @t375) @t373))) % 76.86/77.09 (step @p371 :rule alpha_equiv :args (@t376 (@list @t363 @t362) (@list @t4 @t377))) % 76.86/77.09 (step @p372 :rule nary_cong :premises (@p49 @p371) :args (@t378)) % 76.86/77.09 (step @p373 :rule quant-miniscope-or :args ((= @t375 @t378))) % 76.86/77.09 (step @p374 :rule trans :premises (@p373 @p372)) % 76.86/77.09 (step @p375 :rule symm :premises (@p374)) % 76.86/77.09 (step @p376 :rule cong :premises (@p375) :args ((forall @t20 (or @t139 @t384)))) % 76.86/77.09 (step @p377 :rule trans :premises (@p376 @p370)) % 76.86/77.09 (step @p378 :rule trans :premises (@p377 @p369)) % 76.86/77.09 (step @p379 :rule bool-impl-elim :args (@t18 @t384)) % 76.86/77.09 (step @p380 :rule cong :premises (@p379) :args ((forall @t20 (=> @t18 @t384)))) % 76.86/77.09 (step @p381 :rule trans :premises (@p380 @p378)) % 76.86/77.09 (step @p382 :rule aci_norm :args ((= @t386 @t382))) % 76.86/77.09 (step @p383 :rule cong :premises (@p382) :args (@t387)) % 76.86/77.09 (step @p384 :rule quant-merge-prenex :args ((= (forall @t16 @t389) @t387))) % 76.86/77.09 (step @p385 :rule alpha_equiv :args (@t390 (@list @t377) @t236)) % 76.86/77.09 (step @p386 :rule refl :args (@t381)) % 76.86/77.09 (step @p387 :rule nary_cong :premises (@p386 @p385) :args (@t391)) % 76.86/77.09 (step @p388 :rule quant-miniscope-or :args ((= @t389 @t391))) % 76.86/77.09 (step @p389 :rule trans :premises (@p388 @p387)) % 76.86/77.09 (step @p390 :rule symm :premises (@p389)) % 76.86/77.09 (step @p391 :rule cong :premises (@p390) :args ((forall @t16 (or @t381 @t392)))) % 76.86/77.09 (step @p392 :rule trans :premises (@p391 @p384)) % 76.86/77.09 (step @p393 :rule trans :premises (@p392 @p383)) % 76.86/77.09 (step @p394 :rule bool-impl-elim :args (@t50 @t392)) % 76.86/77.09 (step @p395 :rule cong :premises (@p394) :args ((forall @t16 (=> @t50 @t392)))) % 76.86/77.09 (step @p396 :rule trans :premises (@p395 @p393)) % 76.86/77.09 (step @p397 :rule bool-impl-elim :args (@t8 @t85)) % 76.86/77.09 (step @p398 :rule cong :premises (@p397) :args (@t86)) % 76.86/77.09 (step @p399 :rule refl :args (@t50)) % 76.86/77.09 (step @p400 :rule cong :premises (@p399 @p398) :args (@t87)) % 76.86/77.09 (step @p401 :rule cong :premises (@p400) :args (@t88)) % 76.86/77.09 (step @p402 :rule trans :premises (@p401 @p396)) % 76.86/77.09 (step @p403 :rule cong :premises (@p79 @p402) :args (@t89)) % 76.86/77.09 (step @p404 :rule cong :premises (@p403) :args (@t90)) % 76.86/77.09 (step @p405 :rule trans :premises (@p404 @p381)) % 76.86/77.09 (step @p406 :rule cong :premises (@p83 @p405) :args (@t91)) % 76.86/77.09 (step @p407 :rule cong :premises (@p406) :args (@t92)) % 76.86/77.09 (step @p408 :rule trans :premises (@p407 @p367)) % 76.86/77.09 (step @p409 :rule eq_resolve :premises (@p25 @p408)) % 76.86/77.09 (step @p410 :rule instantiate :premises (@p409) :args ((@list @t211 @t210 @t171 @t173))) % 76.86/77.09 (step @p411 :rule cnf_or_pos :args (@t394)) % 76.86/77.09 (step @p412 :rule reordering :premises (@p411) :args ((or @t327 @t325 @t322 @t321 @t393 (not @t394)))) % 76.86/77.09 (step @p413 :rule chain_m_resolution :premises (@p412 @p319 @p350 @p313 @p331 @p410) :args (@t393 (@list false false false false false) (@list @t326 @t324 @t313 @t320 @t394))) % 76.86/77.09 (step @p414 :rule cnf_or_neg :args (@t328 8)) % 76.86/77.09 (step @p415 :rule chain_m_resolution :premises (@p414 @p306) :args ((not @t319) @t329 @t330)) % 76.86/77.09 (step @p416 :rule bool-double-not-elim :args (@t315)) % 76.86/77.09 (step @p417 :rule refl :args (@t395)) % 76.86/77.09 (step @p418 :rule refl :args (@t319)) % 76.86/77.09 (step @p419 :rule nary_cong :premises (@p418 @p417 @p416) :args ((or @t319 @t395 @t396))) % 76.86/77.09 (step @p420 :rule cnf_equiv_neg2 :args (@t319)) % 76.86/77.09 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 76.86/77.09 (step @p422 :rule reordering :premises (@p421) :args ((or @t315 @t319 @t395))) % 76.86/77.09 (assume-push @p671 @t318) % 76.86/77.09 (assume-push @p672 @t393) % 76.86/77.09 (assume-push @p673 @t318) % 76.86/77.09 (assume-push @p674 @t393) % 76.86/77.09 (step @p427 :rule true_intro :premises (@p671)) % 76.86/77.09 (step @p428 :rule symm :premises (@p413)) % 76.86/77.09 (step @p429 :rule refl :args (@t172)) % 76.86/77.09 (step @p430 :rule cong :premises (@p429 @p428) :args (@t343)) % 76.86/77.09 (step @p431 :rule trans :premises (@p430 @p427)) % 76.86/77.09 (step @p432 :rule true_elim :premises (@p431)) % 76.86/77.09 (step-pop @p675 :rule scope :premises (@p432)) % 76.86/77.09 (step-pop @p676 :rule scope :premises (@p675)) % 76.86/77.09 (step @p433 :rule process_scope :premises (@p676) :args (@t343)) % 76.86/77.09 (step @p436 :rule and_intro :premises (@p671 @p413)) % 76.86/77.09 (step @p437 :rule modus_ponens :premises (@p436 @p433)) % 76.86/77.09 (step-pop @p677 :rule scope :premises (@p437)) % 76.86/77.09 (step-pop @p678 :rule scope :premises (@p677)) % 76.86/77.09 (step @p438 :rule process_scope :premises (@p678) :args (@t343)) % 76.86/77.09 (step @p441 :rule implies_elim :premises (@p438)) % 76.86/77.09 (step @p442 :rule cnf_and_neg :args (@t397)) % 76.86/77.09 (step @p443 :rule resolution :premises (@p442 @p441) :args (true @t397)) % 76.86/77.09 (assume-push @p679 @t315) % 76.86/77.09 (step @p445 :rule instantiate :premises (@p679) :args (@t399)) % 76.86/77.09 (step-pop @p680 :rule scope :premises (@p445)) % 76.86/77.09 (step @p446 :rule process_scope :premises (@p680) :args (@t406)) % 76.86/77.09 (step @p448 :rule implies_elim :premises (@p446)) % 76.86/77.09 (step @p449 :rule cnf_equiv_pos1 :args (@t344)) % 76.86/77.09 (step @p450 :rule reordering :premises (@p449) :args ((or @t341 @t408 @t407))) % 76.86/77.09 (step @p451 :rule refl :args (@t412)) % 76.86/77.09 (step @p452 :rule bool-double-not-elim :args (@t340)) % 76.86/77.09 (step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t413 @t412))) % 76.86/77.09 (assume-push @p681 @t341) % 76.86/77.09 (step @p455 :rule skolemize :premises (@p681)) % 76.86/77.09 (step-pop @p682 :rule scope :premises (@p455)) % 76.86/77.09 (step @p456 :rule process_scope :premises (@p682) :args (@t412)) % 76.86/77.09 (step @p458 :rule implies_elim :premises (@p456)) % 76.86/77.09 (step @p459 :rule eq_resolve :premises (@p458 @p453)) % 76.86/77.09 (step @p460 :rule bool-double-not-elim :args (@t402)) % 76.86/77.09 (step @p461 :rule refl :args (@t411)) % 76.86/77.09 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or @t411 (not @t403)))) % 76.86/77.09 (step @p463 :rule cnf_or_neg :args (@t411 1)) % 76.86/77.09 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 76.86/77.09 (step @p465 :rule reordering :premises (@p464) :args ((or @t402 @t411))) % 76.86/77.09 (step @p466 :rule bool-double-not-elim :args (@t400)) % 76.86/77.09 (step @p467 :rule nary_cong :premises (@p461 @p466) :args ((or @t411 (not @t401)))) % 76.86/77.09 (step @p468 :rule cnf_or_neg :args (@t411 2)) % 76.86/77.09 (step @p469 :rule eq_resolve :premises (@p468 @p467)) % 76.86/77.09 (step @p470 :rule reordering :premises (@p469) :args ((or @t400 @t411))) % 76.86/77.09 (step @p471 :rule cnf_or_pos :args (@t406)) % 76.86/77.09 (step @p472 :rule reordering :premises (@p471) :args ((or @t403 @t401 @t405 (not @t406)))) % 76.86/77.09 (step @p473 :rule instantiate :premises (@p27) :args (@t399)) % 76.86/77.09 (step @p474 :rule aci_norm :args ((= @t425 (or @t128 @t423 @t422 @t421 @t420 @t419 @t417)))) % 76.86/77.09 (step @p475 :rule cong :premises (@p474) :args (@t426)) % 76.86/77.09 (step @p476 :rule quant-merge-prenex :args ((= (forall @t24 @t428) @t426))) % 76.86/77.09 (step @p477 :rule alpha_equiv :args (@t429 (@list @t418 @t416 @t415 @t414) (@list @t5 @t432 @t431 @t430))) % 76.86/77.09 (step @p478 :rule nary_cong :premises (@p34 @p477) :args (@t433)) % 76.86/77.09 (step @p479 :rule quant-miniscope-or :args ((= @t428 @t433))) % 76.86/77.09 (step @p480 :rule trans :premises (@p479 @p478)) % 76.86/77.09 (step @p481 :rule symm :premises (@p480)) % 76.86/77.09 (step @p482 :rule cong :premises (@p481) :args ((forall @t24 (or @t128 @t441)))) % 76.86/77.09 (step @p483 :rule trans :premises (@p482 @p476)) % 76.86/77.09 (step @p484 :rule trans :premises (@p483 @p475)) % 76.86/77.09 (step @p485 :rule bool-impl-elim :args (@t22 @t441)) % 76.86/77.09 (step @p486 :rule cong :premises (@p485) :args ((forall @t24 (=> @t22 @t441)))) % 76.86/77.09 (step @p487 :rule trans :premises (@p486 @p484)) % 76.86/77.09 (step @p488 :rule aci_norm :args ((= @t443 @t439))) % 76.86/77.09 (step @p489 :rule cong :premises (@p488) :args (@t444)) % 76.86/77.09 (step @p490 :rule quant-merge-prenex :args ((= (forall @t20 @t446) @t444))) % 76.86/77.09 (step @p491 :rule alpha_equiv :args (@t447 (@list @t432 @t431 @t430) (@list @t4 @t449 @t448))) % 76.86/77.09 (step @p492 :rule nary_cong :premises (@p49 @p491) :args (@t450)) % 76.86/77.09 (step @p493 :rule quant-miniscope-or :args ((= @t446 @t450))) % 76.86/77.09 (step @p494 :rule trans :premises (@p493 @p492)) % 76.86/77.09 (step @p495 :rule symm :premises (@p494)) % 76.86/77.09 (step @p496 :rule cong :premises (@p495) :args ((forall @t20 (or @t139 @t457)))) % 76.86/77.09 (step @p497 :rule trans :premises (@p496 @p490)) % 76.86/77.09 (step @p498 :rule trans :premises (@p497 @p489)) % 76.86/77.09 (step @p499 :rule bool-impl-elim :args (@t18 @t457)) % 76.86/77.09 (step @p500 :rule cong :premises (@p499) :args ((forall @t20 (=> @t18 @t457)))) % 76.86/77.09 (step @p501 :rule trans :premises (@p500 @p498)) % 76.86/77.09 (step @p502 :rule aci_norm :args ((= @t459 @t455))) % 76.86/77.09 (step @p503 :rule cong :premises (@p502) :args (@t460)) % 76.86/77.09 (step @p504 :rule quant-merge-prenex :args ((= (forall @t16 @t462) @t460))) % 76.86/77.09 (step @p505 :rule alpha_equiv :args (@t463 (@list @t449 @t448) (@list @t2 @t464))) % 76.86/77.09 (step @p506 :rule nary_cong :premises (@p233 @p505) :args (@t465)) % 76.86/77.09 (step @p507 :rule quant-miniscope-or :args ((= @t462 @t465))) % 76.86/77.09 (step @p508 :rule trans :premises (@p507 @p506)) % 76.86/77.09 (step @p509 :rule symm :premises (@p508)) % 76.86/77.09 (step @p510 :rule cong :premises (@p509) :args ((forall @t16 (or @t277 @t470)))) % 76.86/77.09 (step @p511 :rule trans :premises (@p510 @p504)) % 76.86/77.09 (step @p512 :rule trans :premises (@p511 @p503)) % 76.86/77.09 (step @p513 :rule bool-impl-elim :args (@t38 @t470)) % 76.86/77.09 (step @p514 :rule cong :premises (@p513) :args ((forall @t16 (=> @t38 @t470)))) % 76.86/77.09 (step @p515 :rule trans :premises (@p514 @p512)) % 76.86/77.09 (step @p516 :rule aci_norm :args ((= @t472 @t468))) % 76.86/77.09 (step @p517 :rule cong :premises (@p516) :args (@t473)) % 76.86/77.09 (step @p518 :rule quant-merge-prenex :args ((= (forall @t10 @t475) @t473))) % 76.86/77.09 (step @p519 :rule alpha_equiv :args (@t476 (@list @t464) @t305)) % 76.86/77.09 (step @p520 :rule refl :args (@t27)) % 76.86/77.09 (step @p521 :rule nary_cong :premises (@p64 @p520 @p519) :args (@t477)) % 76.86/77.09 (step @p522 :rule quant-miniscope-or :args ((= @t475 @t477))) % 76.86/77.09 (step @p523 :rule trans :premises (@p522 @p521)) % 76.86/77.09 (step @p524 :rule symm :premises (@p523)) % 76.86/77.09 (step @p525 :rule cong :premises (@p524) :args ((forall @t10 @t482))) % 76.86/77.09 (step @p526 :rule trans :premises (@p525 @p518)) % 76.86/77.09 (step @p527 :rule trans :premises (@p526 @p517)) % 76.86/77.09 (step @p528 :rule aci_norm :args ((= (or @t124 @t483) @t482))) % 76.86/77.09 (step @p529 :rule bool-impl-elim :args (@t8 @t483)) % 76.86/77.09 (step @p530 :rule trans :premises (@p529 @p528)) % 76.86/77.09 (step @p531 :rule cong :premises (@p530) :args ((forall @t10 (=> @t8 @t483)))) % 76.86/77.09 (step @p532 :rule trans :premises (@p531 @p527)) % 76.86/77.09 (step @p533 :rule quant-miniscope-or :args ((= (forall @t34 @t484) @t483))) % 76.86/77.09 (step @p534 :rule aci_norm :args ((= @t485 @t484))) % 76.86/77.09 (step @p535 :rule cong :premises (@p534) :args ((forall @t34 @t485))) % 76.86/77.09 (step @p536 :rule trans :premises (@p535 @p533)) % 76.86/77.09 (step @p537 :rule aci_norm :args ((= (or @t479 (or @t478 @t27)) @t485))) % 76.86/77.09 (step @p538 :rule bool-impl-elim :args (@t30 @t27)) % 76.86/77.09 (step @p539 :rule refl :args (@t479)) % 76.86/77.09 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t479 @t31))) % 76.86/77.09 (step @p541 :rule trans :premises (@p540 @p537)) % 76.86/77.09 (step @p542 :rule bool-impl-elim :args (@t33 @t31)) % 76.86/77.09 (step @p543 :rule trans :premises (@p542 @p541)) % 76.86/77.09 (step @p544 :rule cong :premises (@p543) :args (@t35)) % 76.86/77.09 (step @p545 :rule trans :premises (@p544 @p536)) % 76.86/77.09 (step @p546 :rule refl :args (@t8)) % 76.86/77.09 (step @p547 :rule cong :premises (@p546 @p545) :args (@t36)) % 76.86/77.09 (step @p548 :rule cong :premises (@p547) :args (@t37)) % 76.86/77.09 (step @p549 :rule trans :premises (@p548 @p532)) % 76.86/77.09 (step @p550 :rule refl :args (@t38)) % 76.86/77.09 (step @p551 :rule cong :premises (@p550 @p549) :args (@t39)) % 76.86/77.09 (step @p552 :rule cong :premises (@p551) :args (@t40)) % 76.86/77.09 (step @p553 :rule trans :premises (@p552 @p515)) % 76.86/77.09 (step @p554 :rule cong :premises (@p79 @p553) :args (@t41)) % 76.86/77.09 (step @p555 :rule cong :premises (@p554) :args (@t42)) % 76.86/77.09 (step @p556 :rule trans :premises (@p555 @p501)) % 76.86/77.09 (step @p557 :rule cong :premises (@p83 @p556) :args (@t43)) % 76.86/77.09 (step @p558 :rule cong :premises (@p557) :args (@t44)) % 76.86/77.09 (step @p559 :rule trans :premises (@p558 @p487)) % 76.86/77.09 (step @p560 :rule eq_resolve :premises (@p2 @p559)) % 76.86/77.09 (step @p561 :rule instantiate :premises (@p560) :args ((@list @t211 @t210 @t398 @t172 @t171))) % 76.86/77.09 (step @p562 :rule cnf_or_pos :args (@t488)) % 76.86/77.09 (step @p563 :rule reordering :premises (@p562) :args ((or @t327 @t322 @t321 @t347 @t410 @t403 @t487 (not @t488)))) % 76.86/77.09 (step @p564 :rule aci_norm :args ((= @t494 (or @t128 @t492 @t491 @t490)))) % 76.86/77.09 (step @p565 :rule cong :premises (@p564) :args (@t495)) % 76.86/77.09 (step @p566 :rule quant-merge-prenex :args ((= (forall @t24 @t497) @t495))) % 76.86/77.09 (step @p567 :rule alpha_equiv :args (@t498 (@list @t489) (@list @t5))) % 76.86/77.09 (step @p568 :rule nary_cong :premises (@p34 @p567) :args (@t499)) % 76.86/77.09 (step @p569 :rule quant-miniscope-or :args ((= @t497 @t499))) % 76.86/77.09 (step @p570 :rule trans :premises (@p569 @p568)) % 76.86/77.09 (step @p571 :rule symm :premises (@p570)) % 76.86/77.09 (step @p572 :rule cong :premises (@p571) :args ((forall @t24 (or @t128 @t501)))) % 76.86/77.09 (step @p573 :rule trans :premises (@p572 @p566)) % 76.86/77.09 (step @p574 :rule trans :premises (@p573 @p565)) % 76.86/77.09 (step @p575 :rule bool-impl-elim :args (@t22 @t501)) % 76.86/77.09 (step @p576 :rule cong :premises (@p575) :args ((forall @t24 (=> @t22 @t501)))) % 76.86/77.09 (step @p577 :rule trans :premises (@p576 @p574)) % 76.86/77.09 (step @p578 :rule aci_norm :args ((= (or @t282 @t58) @t500))) % 76.86/77.09 (step @p579 :rule refl :args (@t58)) % 76.86/77.09 (step @p580 :rule nary_cong :premises (@p222 @p579) :args ((or @t283 @t58))) % 76.86/77.09 (step @p581 :rule trans :premises (@p580 @p578)) % 76.86/77.09 (step @p582 :rule bool-impl-elim :args (@t61 @t58)) % 76.86/77.09 (step @p583 :rule trans :premises (@p582 @p581)) % 76.86/77.09 (step @p584 :rule cong :premises (@p583) :args (@t62)) % 76.86/77.09 (step @p585 :rule cong :premises (@p83 @p584) :args (@t63)) % 76.86/77.09 (step @p586 :rule cong :premises (@p585) :args (@t64)) % 76.86/77.09 (step @p587 :rule trans :premises (@p586 @p577)) % 76.86/77.09 (step @p588 :rule eq_resolve :premises (@p7 @p587)) % 76.86/77.09 (step @p589 :rule instantiate :premises (@p588) :args ((@list @t398 @t211))) % 76.86/77.09 (step @p590 :rule cnf_or_neg :args (@t328 4)) % 76.86/77.09 (step @p591 :rule chain_m_resolution :premises (@p590 @p306) :args ((not @t323) @t329 @t330)) % 76.86/77.09 (step @p592 :rule cnf_or_pos :args (@t503)) % 76.86/77.09 (step @p593 :rule reordering :premises (@p592) :args ((or @t323 @t322 @t410 @t502 (not @t503)))) % 76.86/77.09 (step @p594 :rule chain_m_resolution :premises (@p593 @p591 @p313 @p473 @p589) :args (@t502 (@list true false false false) (@list @t323 @t313 @t409 @t503))) % 76.86/77.09 (step @p595 :rule cnf_equiv_pos2 :args (@t502)) % 76.86/77.09 (step @p596 :rule reordering :premises (@p595) :args ((or @t404 (not @t486) (not @t502)))) % 76.86/77.09 (step @p597 :rule cnf_and_pos :args (@t487 0)) % 76.86/77.09 (step @p598 :rule reordering :premises (@p597) :args ((or @t486 (not @t487)))) % 76.86/77.09 (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p594 @p563 @p561 @p473 @p344 @p331 @p313 @p319 @p472 @p470 @p465 @p459 @p450 @p353 @p448 @p443 @p413 @p422 @p415) :args (@t395 (@list true false false false false false false false false true false false true true false false false false false true) (@list @t486 @t502 @t487 @t488 @t409 @t346 @t320 @t313 @t326 @t404 @t400 @t402 @t411 @t340 @t344 @t406 @t343 @t393 @t315 @t319))) % 76.86/77.09 (step @p600 :rule refl :args (@t408)) % 76.86/77.09 (step @p601 :rule refl :args (@t504)) % 76.86/77.09 (step @p602 :rule bool-double-not-elim :args (@t318)) % 76.86/77.09 (step @p603 :rule nary_cong :premises (@p602 @p601 @p600) :args ((or (not @t395) @t504 @t408))) % 76.86/77.09 (assume-push @p683 @t395) % 76.86/77.09 (assume-push @p684 @t393) % 76.86/77.09 (assume-push @p685 @t395) % 76.86/77.09 (assume-push @p686 @t393) % 76.86/77.09 (step @p608 :rule false_intro :premises (@p683)) % 76.86/77.09 (step @p428 :rule symm :premises (@p413)) % 76.86/77.09 (step @p429 :rule refl :args (@t172)) % 76.86/77.09 (step @p430 :rule cong :premises (@p429 @p428) :args (@t343)) % 76.86/77.09 (step @p609 :rule trans :premises (@p430 @p608)) % 76.86/77.09 (step @p610 :rule false_elim :premises (@p609)) % 76.86/77.09 (step-pop @p687 :rule scope :premises (@p610)) % 76.86/77.09 (step-pop @p688 :rule scope :premises (@p687)) % 76.86/77.09 (step @p611 :rule process_scope :premises (@p688) :args (@t408)) % 76.86/77.09 (step @p614 :rule and_intro :premises (@p683 @p413)) % 76.86/77.09 (step @p615 :rule modus_ponens :premises (@p614 @p611)) % 76.86/77.09 (step-pop @p689 :rule scope :premises (@p615)) % 76.86/77.09 (step-pop @p690 :rule scope :premises (@p689)) % 76.86/77.09 (step @p616 :rule process_scope :premises (@p690) :args (@t408)) % 76.86/77.09 (step @p619 :rule implies_elim :premises (@p616)) % 76.86/77.09 (step @p620 :rule cnf_and_neg :args (@t505)) % 76.86/77.09 (step @p621 :rule resolution :premises (@p620 @p619) :args (true @t505)) % 76.86/77.09 (step @p622 :rule eq_resolve :premises (@p621 @p603)) % 76.86/77.09 (step @p623 :rule chain_m_resolution :premises (@p622 @p599 @p413) :args (@t408 @t506 (@list @t318 @t393))) % 76.86/77.09 (step @p624 :rule refl :args (@t343)) % 76.86/77.09 (step @p625 :rule refl :args (@t407)) % 76.86/77.09 (step @p626 :rule nary_cong :premises (@p625 @p624 @p452) :args ((or @t407 @t343 @t413))) % 76.86/77.09 (step @p627 :rule cnf_equiv_pos2 :args (@t344)) % 76.86/77.09 (step @p628 :rule eq_resolve :premises (@p627 @p626)) % 76.86/77.09 (step @p629 :rule reordering :premises (@p628) :args ((or @t343 @t340 @t407))) % 76.86/77.09 (step @p630 :rule chain_m_resolution :premises (@p629 @p623 @p353) :args (@t340 @t506 (@list @t343 @t344))) % 76.86/77.09 (assume-push @p691 @t340) % 76.86/77.09 (step @p632 :rule instantiate :premises (@p691) :args (@t508)) % 76.86/77.09 (step-pop @p692 :rule scope :premises (@p632)) % 76.86/77.09 (step @p633 :rule process_scope :premises (@p692) :args (@t515)) % 76.86/77.09 (step @p635 :rule implies_elim :premises (@p633)) % 76.86/77.09 (step @p636 :rule chain_m_resolution :premises (@p635 @p630) :args (@t515 @t337 (@list @t340))) % 76.86/77.09 (step @p637 :rule cnf_equiv_neg1 :args (@t319)) % 76.86/77.09 (step @p638 :rule reordering :premises (@p637) :args ((or @t318 @t316 @t319))) % 76.86/77.09 (step @p639 :rule chain_m_resolution :premises (@p638 @p599 @p415) :args (@t316 (@list true true) (@list @t318 @t319))) % 76.86/77.09 (step @p640 :rule refl :args (@t517)) % 76.86/77.09 (step @p641 :rule nary_cong :premises (@p416 @p640) :args ((or @t396 @t517))) % 76.86/77.09 (assume-push @p693 @t316) % 76.86/77.09 (step @p643 :rule skolemize :premises (@p693)) % 76.86/77.09 (step-pop @p694 :rule scope :premises (@p643)) % 76.86/77.09 (step @p644 :rule process_scope :premises (@p694) :args (@t517)) % 76.86/77.09 (step @p646 :rule implies_elim :premises (@p644)) % 76.86/77.09 (step @p647 :rule eq_resolve :premises (@p646 @p641)) % 76.86/77.09 (step @p648 :rule chain_m_resolution :premises (@p647 @p639) :args (@t517 @t329 (@list @t315))) % 76.86/77.09 (step @p649 :rule bool-double-not-elim :args (@t509)) % 76.86/77.09 (step @p650 :rule refl :args (@t516)) % 76.86/77.09 (step @p651 :rule nary_cong :premises (@p650 @p649) :args ((or @t516 (not @t510)))) % 76.86/77.09 (step @p652 :rule cnf_or_neg :args (@t516 2)) % 76.86/77.09 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 76.86/77.09 (step @p654 :rule reordering :premises (@p653) :args ((or @t509 @t516))) % 76.86/77.09 (step @p655 :rule chain_m_resolution :premises (@p654 @p648) :args (@t509 @t329 @t518)) % 76.86/77.09 (step @p656 :rule bool-double-not-elim :args (@t511)) % 76.86/77.10 (step @p657 :rule nary_cong :premises (@p650 @p656) :args ((or @t516 (not @t512)))) % 76.86/77.10 (step @p658 :rule cnf_or_neg :args (@t516 1)) % 76.86/77.10 (step @p659 :rule eq_resolve :premises (@p658 @p657)) % 76.86/77.10 (step @p660 :rule reordering :premises (@p659) :args ((or @t511 @t516))) % 76.86/77.10 (step @p661 :rule chain_m_resolution :premises (@p660 @p648) :args (@t511 @t329 @t518)) % 76.86/77.10 (step @p662 :rule cnf_or_pos :args (@t515)) % 76.86/77.10 (step @p663 :rule reordering :premises (@p662) :args ((or @t512 @t510 @t514 (not @t515)))) % 76.86/77.10 (step @p664 :rule chain_m_resolution :premises (@p663 @p661 @p655 @p636) :args (@t514 @t336 (@list @t511 @t509 @t515))) % 76.86/77.10 (assume-push @p695 @t93) % 76.86/77.10 (step @p666 :rule instantiate :premises (@p27) :args (@t508)) % 76.86/77.10 (step-pop @p696 :rule scope :premises (@p666)) % 76.86/77.10 (step @p667 :rule process_scope :premises (@p696) :args (@t513)) % 76.86/77.10 (step @p669 :rule implies_elim :premises (@p667)) % 76.86/77.10 (step @p670 false :rule chain_m_resolution :premises (@p669 @p664 @p27) :args (false @t506 (@list @t513 @t93))) % 76.86/77.10 ) % 76.86/77.10 % SZS output end Proof % 76.86/77.10 % cvc5 exiting %------------------------------------------------------------------------------