%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET061-7 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:47:11 AM UTC 2026 % Result : Unsatisfiable 17.33s 17.56s % Output : Proof 17.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET061-7 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 14:50:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 17.33/17.56 % SZS status Unsatisfiable % 17.33/17.56 % SZS output start Proof % 17.33/17.58 ( % 17.33/17.58 (declare-sort $$unsorted 0) % 17.33/17.58 (declare-const tptp.z $$unsorted) % 17.33/17.58 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.operation (-> $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.function (-> $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.element_relation $$unsorted) % 17.33/17.58 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.universal_class $$unsorted) % 17.33/17.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.successor_relation $$unsorted) % 17.33/17.58 (declare-const tptp.choice $$unsorted) % 17.33/17.58 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.subset_relation $$unsorted) % 17.33/17.58 (declare-const tptp.null_class $$unsorted) % 17.33/17.58 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.omega $$unsorted) % 17.33/17.58 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.33/17.58 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.identity_relation $$unsorted) % 17.33/17.58 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 17.33/17.58 (declare-const tptp.inductive (-> $$unsorted Bool)) % 17.33/17.58 (define @t1 () (@var "Y" $$unsorted)) % 17.33/17.58 (define @t2 () (@var "U" $$unsorted)) % 17.33/17.58 (define @t3 () (@var "X" $$unsorted)) % 17.33/17.58 (define @t4 () (tptp.member @t2 @t3)) % 17.33/17.58 (define @t5 () (not @t4)) % 17.33/17.58 (define @t6 () (tptp.subclass @t3 @t1)) % 17.33/17.58 (define @t7 () (not @t6)) % 17.33/17.58 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 17.33/17.58 (define @t9 () (tptp.member @t8 @t3)) % 17.33/17.58 (define @t10 () (@list @t3 @t1)) % 17.33/17.58 (define @t11 () (not (tptp.member @t8 @t1))) % 17.33/17.58 (define @t12 () (@list @t3)) % 17.33/17.58 (define @t13 () (= @t3 @t1)) % 17.33/17.58 (define @t14 () (not @t13)) % 17.33/17.58 (define @t15 () (tptp.subclass @t1 @t3)) % 17.33/17.58 (define @t16 () (forall @t10 (or @t7 (not @t15) @t13))) % 17.33/17.58 (define @t17 () (tptp.unordered_pair @t3 @t1)) % 17.33/17.58 (define @t18 () (not (tptp.member @t2 @t17))) % 17.33/17.58 (define @t19 () (or @t18 (= @t2 @t3) (= @t2 @t1))) % 17.33/17.58 (define @t20 () (forall (@list @t2 @t3 @t1) @t19)) % 17.33/17.58 (define @t21 () (tptp.member @t3 @t17)) % 17.33/17.58 (define @t22 () (not (tptp.member @t3 tptp.universal_class))) % 17.33/17.58 (define @t23 () (tptp.member @t1 @t17)) % 17.33/17.58 (define @t24 () (not (tptp.member @t1 tptp.universal_class))) % 17.33/17.58 (define @t25 () (@list @t1 @t3)) % 17.33/17.58 (define @t26 () (tptp.singleton @t3)) % 17.33/17.58 (define @t27 () (tptp.ordered_pair @t3 @t1)) % 17.33/17.58 (define @t28 () (tptp.singleton @t1)) % 17.33/17.58 (define @t29 () (tptp.cross_product @t3 @t1)) % 17.33/17.58 (define @t30 () (@var "V" $$unsorted)) % 17.33/17.58 (define @t31 () (tptp.ordered_pair @t2 @t30)) % 17.33/17.58 (define @t32 () (tptp.member @t31 @t29)) % 17.33/17.58 (define @t33 () (not @t32)) % 17.33/17.58 (define @t34 () (@list @t2 @t30 @t3 @t1)) % 17.33/17.58 (define @t35 () (tptp.member @t30 @t1)) % 17.33/17.58 (define @t36 () (@var "Z" $$unsorted)) % 17.33/17.58 (define @t37 () (@list @t36 @t3 @t1)) % 17.33/17.58 (define @t38 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 17.33/17.58 (define @t39 () (tptp.subclass tptp.element_relation @t38)) % 17.33/17.58 (define @t40 () (tptp.member @t3 @t1)) % 17.33/17.58 (define @t41 () (tptp.member @t27 tptp.element_relation)) % 17.33/17.58 (define @t42 () (not (tptp.member @t27 @t38))) % 17.33/17.58 (define @t43 () (tptp.member @t36 @t3)) % 17.33/17.58 (define @t44 () (tptp.intersection @t3 @t1)) % 17.33/17.58 (define @t45 () (tptp.member @t36 @t44)) % 17.33/17.58 (define @t46 () (not @t45)) % 17.33/17.58 (define @t47 () (forall @t37 (or @t46 @t43))) % 17.33/17.58 (define @t48 () (tptp.member @t36 @t1)) % 17.33/17.58 (define @t49 () (not @t43)) % 17.33/17.58 (define @t50 () (tptp.complement @t3)) % 17.33/17.58 (define @t51 () (tptp.member @t36 @t50)) % 17.33/17.58 (define @t52 () (@list @t36 @t3)) % 17.33/17.58 (define @t53 () (not (tptp.member @t36 tptp.universal_class))) % 17.33/17.58 (define @t54 () (tptp.complement (tptp.intersection @t50 (tptp.complement @t1)))) % 17.33/17.58 (define @t55 () (@var "Xr" $$unsorted)) % 17.33/17.58 (define @t56 () (tptp.restrict @t55 @t3 @t1)) % 17.33/17.58 (define @t57 () (tptp.domain_of @t3)) % 17.33/17.58 (define @t58 () (tptp.member @t36 @t57)) % 17.33/17.58 (define @t59 () (= (tptp.restrict @t3 (tptp.singleton @t36) tptp.universal_class) tptp.null_class)) % 17.33/17.58 (define @t60 () (tptp.cross_product @t38 tptp.universal_class)) % 17.33/17.58 (define @t61 () (tptp.rotate @t3)) % 17.33/17.58 (define @t62 () (@var "W" $$unsorted)) % 17.33/17.58 (define @t63 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t30 @t62) @t2) @t3)) % 17.33/17.58 (define @t64 () (tptp.ordered_pair @t31 @t62)) % 17.33/17.58 (define @t65 () (tptp.member @t64 @t61)) % 17.33/17.58 (define @t66 () (@list @t2 @t30 @t62 @t3)) % 17.33/17.58 (define @t67 () (not (tptp.member @t64 @t60))) % 17.33/17.58 (define @t68 () (tptp.flip @t3)) % 17.33/17.58 (define @t69 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t30 @t2) @t62) @t3)) % 17.33/17.58 (define @t70 () (tptp.member @t64 @t68)) % 17.33/17.58 (define @t71 () (@list @t1)) % 17.33/17.58 (define @t72 () (tptp.successor @t3)) % 17.33/17.58 (define @t73 () (= @t72 @t1)) % 17.33/17.58 (define @t74 () (tptp.member @t27 tptp.successor_relation)) % 17.33/17.58 (define @t75 () (tptp.member tptp.null_class @t3)) % 17.33/17.58 (define @t76 () (tptp.inductive @t3)) % 17.33/17.58 (define @t77 () (not @t76)) % 17.33/17.58 (define @t78 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 17.33/17.58 (define @t79 () (tptp.sum_class @t3)) % 17.33/17.58 (define @t80 () (tptp.member @t2 tptp.universal_class)) % 17.33/17.58 (define @t81 () (@var "Yr" $$unsorted)) % 17.33/17.58 (define @t82 () (tptp.compose @t81 @t55)) % 17.33/17.58 (define @t83 () (tptp.member @t36 (tptp.image @t81 (tptp.image @t55 @t28)))) % 17.33/17.58 (define @t84 () (tptp.ordered_pair @t1 @t36)) % 17.33/17.58 (define @t85 () (tptp.member @t84 @t82)) % 17.33/17.58 (define @t86 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 17.33/17.58 (define @t87 () (tptp.single_valued_class @t3)) % 17.33/17.58 (define @t88 () (@var "Xf" $$unsorted)) % 17.33/17.58 (define @t89 () (tptp.subclass @t88 @t38)) % 17.33/17.58 (define @t90 () (tptp.function @t88)) % 17.33/17.58 (define @t91 () (not @t90)) % 17.33/17.58 (define @t92 () (@list @t88)) % 17.33/17.58 (define @t93 () (tptp.inverse @t88)) % 17.33/17.58 (define @t94 () (tptp.subclass (tptp.compose @t88 @t93) tptp.identity_relation)) % 17.33/17.58 (define @t95 () (tptp.regular @t3)) % 17.33/17.58 (define @t96 () (= @t3 tptp.null_class)) % 17.33/17.58 (define @t97 () (tptp.intersection @t3 @t95)) % 17.33/17.58 (define @t98 () (or @t96 (= @t97 tptp.null_class))) % 17.33/17.58 (define @t99 () (forall @t12 @t98)) % 17.33/17.58 (define @t100 () (tptp.one_to_one @t88)) % 17.33/17.58 (define @t101 () (not @t100)) % 17.33/17.58 (define @t102 () (tptp.function @t93)) % 17.33/17.58 (define @t103 () (tptp.inverse tptp.element_relation)) % 17.33/17.58 (define @t104 () (tptp.complement tptp.element_relation)) % 17.33/17.58 (define @t105 () (tptp.operation @t88)) % 17.33/17.58 (define @t106 () (not @t105)) % 17.33/17.58 (define @t107 () (tptp.domain_of @t88)) % 17.33/17.58 (define @t108 () (tptp.domain_of @t107)) % 17.33/17.58 (define @t109 () (= (tptp.cross_product @t108 @t108) @t107)) % 17.33/17.58 (define @t110 () (tptp.subclass (tptp.range_of @t88) @t108)) % 17.33/17.58 (define @t111 () (@var "Xh" $$unsorted)) % 17.33/17.58 (define @t112 () (tptp.function @t111)) % 17.33/17.58 (define @t113 () (@var "Xf2" $$unsorted)) % 17.33/17.58 (define @t114 () (@var "Xf1" $$unsorted)) % 17.33/17.58 (define @t115 () (tptp.compatible @t111 @t114 @t113)) % 17.33/17.58 (define @t116 () (not @t115)) % 17.33/17.58 (define @t117 () (@list @t111 @t114 @t113)) % 17.33/17.58 (define @t118 () (tptp.domain_of @t114)) % 17.33/17.58 (define @t119 () (= (tptp.domain_of @t118) (tptp.domain_of @t111))) % 17.33/17.58 (define @t120 () (tptp.subclass (tptp.range_of @t111) (tptp.domain_of (tptp.domain_of @t113)))) % 17.33/17.58 (define @t121 () (tptp.operation @t114)) % 17.33/17.58 (define @t122 () (tptp.homomorphism @t111 @t114 @t113)) % 17.33/17.58 (define @t123 () (not @t122)) % 17.33/17.58 (define @t124 () (tptp.operation @t113)) % 17.33/17.58 (define @t125 () (tptp.not_homomorphism2 @t111 @t114 @t113)) % 17.33/17.58 (define @t126 () (tptp.not_homomorphism1 @t111 @t114 @t113)) % 17.33/17.58 (define @t127 () (tptp.ordered_pair @t126 @t125)) % 17.33/17.58 (define @t128 () (not @t124)) % 17.33/17.58 (define @t129 () (not @t121)) % 17.33/17.58 (define @t130 () (@list @t114 @t113 @t111)) % 17.33/17.58 (define @t131 () (not (tptp.member @t27 (tptp.cross_product @t2 @t30)))) % 17.33/17.58 (define @t132 () (@list @t3 @t1 @t2 @t30)) % 17.33/17.58 (define @t133 () (tptp.not_subclass_element @t1 @t3)) % 17.33/17.58 (define @t134 () (tptp.member @t133 @t1)) % 17.33/17.58 (define @t135 () (not (tptp.member @t133 @t3))) % 17.33/17.58 (define @t136 () (tptp.member tptp.z tptp.null_class)) % 17.33/17.58 (define @t137 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 17.33/17.58 (define @t138 () (tptp.member tptp.z @t137)) % 17.33/17.58 (define @t139 () (= tptp.null_class @t137)) % 17.33/17.58 (define @t140 () (not @t139)) % 17.33/17.58 (define @t141 () (not @t136)) % 17.33/17.58 (define @t142 () (not @t138)) % 17.33/17.58 (define @t143 () (= false true)) % 17.33/17.58 (define @t144 () (tptp.regular @t137)) % 17.33/17.58 (define @t145 () (tptp.intersection @t137 @t144)) % 17.33/17.58 (define @t146 () (tptp.member tptp.z @t145)) % 17.33/17.58 (define @t147 () (not @t146)) % 17.33/17.58 (define @t148 () (or @t147 @t138)) % 17.33/17.58 (define @t149 () (= tptp.null_class @t145)) % 17.33/17.58 (define @t150 () (or (= @t137 tptp.null_class) @t149)) % 17.33/17.58 (define @t151 () (forall @t12 (or @t96 (= tptp.null_class @t97)))) % 17.33/17.58 (define @t152 () (or @t139 @t149)) % 17.33/17.58 (define @t153 () (@list false)) % 17.33/17.58 (define @t154 () (@list @t151)) % 17.33/17.58 (define @t155 () (not @t149)) % 17.33/17.58 (define @t156 () (= tptp.universal_class tptp.z)) % 17.33/17.58 (define @t157 () (or @t142 @t156 @t156)) % 17.33/17.58 (define @t158 () (@list false false)) % 17.33/17.58 (define @t159 () (tptp.member tptp.universal_class tptp.null_class)) % 17.33/17.58 (define @t160 () (and @t136 @t156)) % 17.33/17.58 (define @t161 () (not @t156)) % 17.33/17.58 (define @t162 () (tptp.member tptp.universal_class tptp.universal_class)) % 17.33/17.58 (define @t163 () (not @t159)) % 17.33/17.58 (define @t164 () (tptp.subclass tptp.null_class tptp.universal_class)) % 17.33/17.58 (define @t165 () (not @t164)) % 17.33/17.58 (define @t166 () (or @t165 @t163 @t162)) % 17.33/17.58 (define @t167 () (@list false false false)) % 17.33/17.58 (define @t168 () (@list tptp.universal_class)) % 17.33/17.58 (define @t169 () (tptp.regular @t104)) % 17.33/17.58 (define @t170 () (tptp.member tptp.universal_class @t104)) % 17.33/17.58 (define @t171 () (tptp.intersection @t104 @t169)) % 17.33/17.58 (define @t172 () (tptp.member tptp.universal_class @t171)) % 17.33/17.58 (define @t173 () (not @t172)) % 17.33/17.58 (define @t174 () (or @t173 @t170)) % 17.33/17.58 (define @t175 () (= tptp.null_class @t171)) % 17.33/17.58 (define @t176 () (not @t175)) % 17.33/17.58 (define @t177 () (tptp.intersection tptp.universal_class (tptp.regular tptp.universal_class))) % 17.33/17.58 (define @t178 () (= tptp.null_class @t177)) % 17.33/17.58 (define @t179 () (not @t178)) % 17.33/17.58 (define @t180 () (not @t173)) % 17.33/17.58 (define @t181 () (tptp.member tptp.z @t177)) % 17.33/17.58 (define @t182 () (and @t136 @t156 @t178 @t175 @t173)) % 17.33/17.58 (define @t183 () (or (= @t104 tptp.null_class) @t175)) % 17.33/17.58 (define @t184 () (= tptp.null_class @t104)) % 17.33/17.58 (define @t185 () (or @t184 @t175)) % 17.33/17.58 (define @t186 () (not @t184)) % 17.33/17.58 (define @t187 () (not @t170)) % 17.33/17.58 (define @t188 () (and @t136 @t156 @t178 @t184 @t187)) % 17.33/17.58 (define @t189 () (@list tptp.universal_class tptp.element_relation)) % 17.33/17.58 (define @t190 () (tptp.member tptp.universal_class tptp.element_relation)) % 17.33/17.58 (define @t191 () (not @t190)) % 17.33/17.58 (define @t192 () (or @t187 @t191)) % 17.33/17.58 (define @t193 () (tptp.regular tptp.element_relation)) % 17.33/17.58 (define @t194 () (tptp.intersection tptp.element_relation @t193)) % 17.33/17.58 (define @t195 () (tptp.member tptp.universal_class @t194)) % 17.33/17.58 (define @t196 () (not @t195)) % 17.33/17.58 (define @t197 () (or @t196 @t190)) % 17.33/17.58 (define @t198 () (= tptp.null_class @t194)) % 17.33/17.58 (define @t199 () (not @t198)) % 17.33/17.58 (define @t200 () (and @t136 @t156 @t178 @t198 @t196)) % 17.33/17.58 (define @t201 () (@list tptp.element_relation)) % 17.33/17.58 (define @t202 () (= tptp.element_relation tptp.null_class)) % 17.33/17.58 (define @t203 () (or @t202 @t198)) % 17.33/17.58 (define @t204 () (not @t202)) % 17.33/17.58 (define @t205 () (and @t136 @t156 @t178 @t202 @t191)) % 17.33/17.58 (define @t206 () (= tptp.universal_class tptp.null_class)) % 17.33/17.58 (define @t207 () (or @t206 @t178)) % 17.33/17.58 (define @t208 () (@list true false)) % 17.33/17.58 (define @t209 () (= tptp.universal_class tptp.element_relation)) % 17.33/17.58 (define @t210 () (not @t209)) % 17.33/17.58 (define @t211 () (tptp.subclass tptp.universal_class tptp.element_relation)) % 17.33/17.58 (define @t212 () (tptp.subclass tptp.universal_class tptp.universal_class)) % 17.33/17.58 (define @t213 () (not @t212)) % 17.33/17.58 (define @t214 () (not @t211)) % 17.33/17.58 (define @t215 () (and @t212 @t209 @t214)) % 17.33/17.58 (define @t216 () (tptp.not_subclass_element tptp.universal_class tptp.element_relation)) % 17.33/17.58 (define @t217 () (tptp.member @t216 tptp.universal_class)) % 17.33/17.58 (define @t218 () (or @t217 @t211)) % 17.33/17.58 (define @t219 () (tptp.not_subclass_element tptp.element_relation tptp.universal_class)) % 17.33/17.58 (define @t220 () (tptp.member @t219 tptp.universal_class)) % 17.33/17.58 (define @t221 () (not @t220)) % 17.33/17.58 (define @t222 () (tptp.member @t216 tptp.element_relation)) % 17.33/17.58 (define @t223 () (not @t222)) % 17.33/17.58 (define @t224 () (or @t223 @t221 @t209)) % 17.33/17.58 (define @t225 () (tptp.member @t219 tptp.element_relation)) % 17.33/17.58 (define @t226 () (or @t223 @t209 @t225)) % 17.33/17.58 (define @t227 () (not @t225)) % 17.33/17.58 (define @t228 () (tptp.subclass tptp.element_relation tptp.universal_class)) % 17.33/17.58 (define @t229 () (not @t228)) % 17.33/17.58 (define @t230 () (or @t229 @t227 @t220)) % 17.33/17.58 (define @t231 () (tptp.member @t216 @t194)) % 17.33/17.58 (define @t232 () (not @t231)) % 17.33/17.58 (define @t233 () (or @t232 @t222)) % 17.33/17.58 (define @t234 () (not @t206)) % 17.33/17.58 (define @t235 () (and @t206 @t202 @t210)) % 17.33/17.58 (define @t236 () (not @t217)) % 17.33/17.58 (define @t237 () (and @t217 @t206 @t198 @t232)) % 17.33/17.58 (define @t238 () (or @t214 @t229 @t209)) % 17.33/17.58 (define @t239 () (not @t39)) % 17.33/17.58 (define @t240 () (tptp.subclass @t38 tptp.element_relation)) % 17.33/17.58 (define @t241 () (not @t240)) % 17.33/17.58 (define @t242 () (or @t241 @t239 (= @t38 tptp.element_relation))) % 17.33/17.58 (define @t243 () (= tptp.element_relation @t38)) % 17.33/17.58 (define @t244 () (or @t241 @t239 @t243)) % 17.33/17.58 (define @t245 () (tptp.subclass @t38 tptp.universal_class)) % 17.33/17.58 (define @t246 () (and @t209 @t245)) % 17.33/17.58 (define @t247 () (not @t162)) % 17.33/17.58 (define @t248 () (tptp.complement tptp.universal_class)) % 17.33/17.58 (define @t249 () (tptp.member tptp.universal_class @t248)) % 17.33/17.58 (define @t250 () (not @t249)) % 17.33/17.58 (define @t251 () (or @t250 @t247)) % 17.33/17.58 (define @t252 () (not @t250)) % 17.33/17.58 (define @t253 () (and @t209 @t250)) % 17.33/17.58 (define @t254 () (tptp.regular tptp.successor_relation)) % 17.33/17.58 (define @t255 () (tptp.intersection tptp.successor_relation @t254)) % 17.33/17.58 (define @t256 () (= tptp.null_class @t255)) % 17.33/17.58 (define @t257 () (or (= tptp.successor_relation tptp.null_class) @t256)) % 17.33/17.58 (define @t258 () (@list tptp.successor_relation)) % 17.33/17.58 (define @t259 () (= tptp.null_class tptp.successor_relation)) % 17.33/17.58 (define @t260 () (or @t259 @t256)) % 17.33/17.58 (define @t261 () (tptp.subclass tptp.successor_relation tptp.universal_class)) % 17.33/17.58 (define @t262 () (tptp.subclass tptp.successor_relation tptp.null_class)) % 17.33/17.58 (define @t263 () (and @t206 @t261)) % 17.33/17.58 (define @t264 () (@list tptp.null_class tptp.successor_relation)) % 17.33/17.58 (define @t265 () (not @t262)) % 17.33/17.58 (define @t266 () (tptp.subclass tptp.null_class tptp.successor_relation)) % 17.33/17.58 (define @t267 () (not @t266)) % 17.33/17.58 (define @t268 () (or @t267 @t265 @t259)) % 17.33/17.58 (define @t269 () (tptp.not_subclass_element tptp.null_class tptp.successor_relation)) % 17.33/17.58 (define @t270 () (tptp.member @t269 tptp.successor_relation)) % 17.33/17.58 (define @t271 () (not @t270)) % 17.33/17.58 (define @t272 () (or @t271 @t266)) % 17.33/17.58 (define @t273 () (tptp.member @t269 @t255)) % 17.33/17.58 (define @t274 () (not @t273)) % 17.33/17.58 (define @t275 () (or @t274 @t270)) % 17.33/17.58 (define @t276 () (not @t256)) % 17.33/17.58 (define @t277 () (tptp.member (tptp.not_subclass_element tptp.universal_class tptp.successor_relation) tptp.universal_class)) % 17.33/17.58 (define @t278 () (not @t277)) % 17.33/17.58 (define @t279 () (and @t277 @t206 @t256 @t274)) % 17.33/17.58 (define @t280 () (@list tptp.universal_class tptp.successor_relation)) % 17.33/17.58 (define @t281 () (tptp.subclass tptp.universal_class tptp.successor_relation)) % 17.33/17.58 (define @t282 () (or @t277 @t281)) % 17.33/17.58 (define @t283 () (= tptp.universal_class tptp.successor_relation)) % 17.33/17.58 (define @t284 () (not @t261)) % 17.33/17.58 (define @t285 () (not @t281)) % 17.33/17.58 (define @t286 () (or @t285 @t284 @t283)) % 17.33/17.58 (define @t287 () (not @t283)) % 17.33/17.58 (define @t288 () (not @t259)) % 17.33/17.58 (define @t289 () (and @t206 @t288)) % 17.33/17.58 (define @t290 () (not @t243)) % 17.33/17.58 (define @t291 () (tptp.member tptp.z tptp.universal_class)) % 17.33/17.58 (define @t292 () (tptp.member tptp.null_class @t38)) % 17.33/17.58 (define @t293 () (tptp.complement tptp.successor_relation)) % 17.33/17.58 (define @t294 () (and @t162 @t156 @t206 @t209 @t243 @t184 @t259 @t250)) % 17.33/17.58 (define @t295 () (@list false true false false false false false)) % 17.33/17.58 (define @t296 () (and @t162 @t156 @t206 @t209 @t243 @t175 @t173)) % 17.33/17.58 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 17.33/17.58 (assume @p2 (forall @t10 (or @t9 @t6))) % 17.33/17.58 (assume @p3 (forall @t10 (or @t11 @t6))) % 17.33/17.58 (assume @p4 (forall @t12 (tptp.subclass @t3 tptp.universal_class))) % 17.33/17.58 (assume @p5 (forall @t10 (or @t14 @t6))) % 17.33/17.58 (assume @p6 (forall @t10 (or @t14 @t15))) % 17.33/17.58 (assume @p7 @t16) % 17.33/17.58 (assume @p8 @t20) % 17.33/17.58 (assume @p9 (forall @t10 (or @t22 @t21))) % 17.33/17.58 (assume @p10 (forall @t25 (or @t24 @t23))) % 17.33/17.58 (assume @p11 (forall @t10 (tptp.member @t17 tptp.universal_class))) % 17.33/17.58 (assume @p12 (forall @t12 (= (tptp.unordered_pair @t3 @t3) @t26))) % 17.33/17.58 (assume @p13 (forall @t10 (= (tptp.unordered_pair @t26 (tptp.unordered_pair @t3 @t28)) @t27))) % 17.33/17.58 (assume @p14 (forall @t34 (or @t33 @t4))) % 17.33/17.58 (assume @p15 (forall @t34 (or @t33 @t35))) % 17.33/17.58 (assume @p16 (forall (@list @t2 @t3 @t30 @t1) (or @t5 (not @t35) @t32))) % 17.33/17.58 (assume @p17 (forall @t37 (or (not (tptp.member @t36 @t29)) (= (tptp.ordered_pair (tptp.first @t36) (tptp.second @t36)) @t36)))) % 17.33/17.58 (assume @p18 @t39) % 17.33/17.58 (assume @p19 (forall @t10 (or (not @t41) @t40))) % 17.33/17.58 (assume @p20 (forall @t10 (or @t42 (not @t40) @t41))) % 17.33/17.58 (assume @p21 @t47) % 17.33/17.58 (assume @p22 (forall @t37 (or @t46 @t48))) % 17.33/17.58 (assume @p23 (forall @t37 (or @t49 (not @t48) @t45))) % 17.33/17.58 (assume @p24 (forall @t52 (or (not @t51) @t49))) % 17.33/17.58 (assume @p25 (forall @t52 (or @t53 @t51 @t43))) % 17.33/17.58 (assume @p26 (forall @t10 (= @t54 (tptp.union @t3 @t1)))) % 17.33/17.58 (assume @p27 (forall @t10 (= (tptp.intersection (tptp.complement @t44) @t54) (tptp.symmetric_difference @t3 @t1)))) % 17.33/17.58 (assume @p28 (forall (@list @t55 @t3 @t1) (= (tptp.intersection @t55 @t29) @t56))) % 17.33/17.58 (assume @p29 (forall (@list @t3 @t1 @t55) (= (tptp.intersection @t29 @t55) @t56))) % 17.33/17.58 (assume @p30 (forall (@list @t3 @t36) (or (not @t59) (not @t58)))) % 17.33/17.58 (assume @p31 (forall @t52 (or @t53 @t59 @t58))) % 17.33/17.58 (assume @p32 (forall @t12 (tptp.subclass @t61 @t60))) % 17.33/17.58 (assume @p33 (forall @t66 (or (not @t65) @t63))) % 17.33/17.58 (assume @p34 (forall (@list @t30 @t62 @t2 @t3) (or (not @t63) @t67 @t65))) % 17.33/17.58 (assume @p35 (forall @t12 (tptp.subclass @t68 @t60))) % 17.33/17.58 (assume @p36 (forall @t66 (or (not @t70) @t69))) % 17.33/17.58 (assume @p37 (forall (@list @t30 @t2 @t62 @t3) (or (not @t69) @t67 @t70))) % 17.33/17.58 (assume @p38 (forall @t71 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 17.33/17.58 (assume @p39 (forall (@list @t36) (= (tptp.domain_of (tptp.inverse @t36)) (tptp.range_of @t36)))) % 17.33/17.58 (assume @p40 (forall @t37 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t36 @t3 @t28) tptp.null_class)) (tptp.domain @t36 @t3 @t1)))) % 17.33/17.58 (assume @p41 (forall @t37 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t36 @t26 @t1) tptp.null_class)) (tptp.range @t36 @t3 @t1)))) % 17.33/17.58 (assume @p42 (forall (@list @t55 @t3) (= (tptp.range_of (tptp.restrict @t55 @t3 tptp.universal_class)) (tptp.image @t55 @t3)))) % 17.33/17.58 (assume @p43 (forall @t12 (= (tptp.union @t3 @t26) @t72))) % 17.33/17.58 (assume @p44 (tptp.subclass tptp.successor_relation @t38)) % 17.33/17.58 (assume @p45 (forall @t10 (or (not @t74) @t73))) % 17.33/17.58 (assume @p46 (forall @t10 (or (not @t73) @t42 @t74))) % 17.33/17.58 (assume @p47 (forall @t12 (or @t77 @t75))) % 17.33/17.58 (assume @p48 (forall @t12 (or @t77 @t78))) % 17.33/17.58 (assume @p49 (forall @t12 (or (not @t75) (not @t78) @t76))) % 17.33/17.58 (assume @p50 (tptp.inductive tptp.omega)) % 17.33/17.58 (assume @p51 (forall @t71 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 17.33/17.58 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 17.33/17.58 (assume @p53 (forall @t12 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t79))) % 17.33/17.58 (assume @p54 (forall @t12 (or @t22 (tptp.member @t79 tptp.universal_class)))) % 17.33/17.58 (assume @p55 (forall @t12 (= (tptp.complement (tptp.image tptp.element_relation @t50)) (tptp.power_class @t3)))) % 17.33/17.58 (assume @p56 (forall (@list @t2) (or (not @t80) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 17.33/17.58 (assume @p57 (forall (@list @t81 @t55) (tptp.subclass @t82 @t38))) % 17.33/17.58 (assume @p58 (forall (@list @t1 @t36 @t81 @t55) (or (not @t85) @t83))) % 17.33/17.58 (assume @p59 (forall (@list @t36 @t81 @t55 @t1) (or (not @t83) (not (tptp.member @t84 @t38)) @t85))) % 17.33/17.58 (assume @p60 (forall @t12 (or (not @t87) @t86))) % 17.33/17.58 (assume @p61 (forall @t12 (or (not @t86) @t87))) % 17.33/17.58 (assume @p62 (forall @t92 (or @t91 @t89))) % 17.33/17.58 (assume @p63 (forall @t92 (or @t91 @t94))) % 17.33/17.58 (assume @p64 (forall @t92 (or (not @t89) (not @t94) @t90))) % 17.33/17.58 (assume @p65 (forall (@list @t88 @t3) (or @t91 @t22 (tptp.member (tptp.image @t88 @t3) tptp.universal_class)))) % 17.33/17.58 (assume @p66 (forall @t12 (or @t96 (tptp.member @t95 @t3)))) % 17.33/17.58 (assume @p67 @t99) % 17.33/17.58 (assume @p68 (forall (@list @t88 @t1) (= (tptp.sum_class (tptp.image @t88 @t28)) (tptp.apply @t88 @t1)))) % 17.33/17.58 (assume @p69 (tptp.function tptp.choice)) % 17.33/17.58 (assume @p70 (forall @t71 (or @t24 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 17.33/17.58 (assume @p71 (forall @t92 (or @t101 @t90))) % 17.33/17.58 (assume @p72 (forall @t92 (or @t101 @t102))) % 17.33/17.58 (assume @p73 (forall @t92 (or (not @t102) @t91 @t100))) % 17.33/17.58 (assume @p74 (= (tptp.intersection @t38 (tptp.intersection @t38 (tptp.complement (tptp.compose @t104 @t103)))) tptp.subset_relation)) % 17.33/17.58 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 17.33/17.58 (assume @p76 (forall (@list @t55) (= (tptp.complement (tptp.domain_of (tptp.intersection @t55 tptp.identity_relation))) (tptp.diagonalise @t55)))) % 17.33/17.58 (assume @p77 (forall @t12 (= (tptp.intersection @t57 (tptp.diagonalise (tptp.compose @t103 @t3))) (tptp.cantor @t3)))) % 17.33/17.58 (assume @p78 (forall @t92 (or @t106 @t90))) % 17.33/17.58 (assume @p79 (forall @t92 (or @t106 @t109))) % 17.33/17.58 (assume @p80 (forall @t92 (or @t106 @t110))) % 17.33/17.58 (assume @p81 (forall @t92 (or @t91 (not @t109) (not @t110) @t105))) % 17.33/17.58 (assume @p82 (forall @t117 (or @t116 @t112))) % 17.33/17.58 (assume @p83 (forall @t117 (or @t116 @t119))) % 17.33/17.58 (assume @p84 (forall @t117 (or @t116 @t120))) % 17.33/17.58 (assume @p85 (forall @t117 (or (not @t112) (not @t119) (not @t120) @t115))) % 17.33/17.58 (assume @p86 (forall @t117 (or @t123 @t121))) % 17.33/17.58 (assume @p87 (forall @t117 (or @t123 @t124))) % 17.33/17.58 (assume @p88 (forall @t117 (or @t123 @t115))) % 17.33/17.58 (assume @p89 (forall (@list @t111 @t114 @t113 @t3 @t1) (or @t123 (not (tptp.member @t27 @t118)) (= (tptp.apply @t113 (tptp.ordered_pair (tptp.apply @t111 @t3) (tptp.apply @t111 @t1))) (tptp.apply @t111 (tptp.apply @t114 @t27)))))) % 17.33/17.58 (assume @p90 (forall @t130 (or @t129 @t128 @t116 (tptp.member @t127 @t118) @t122))) % 17.33/17.58 (assume @p91 (forall @t130 (or @t129 @t128 @t116 (not (= (tptp.apply @t113 (tptp.ordered_pair (tptp.apply @t111 @t126) (tptp.apply @t111 @t125))) (tptp.apply @t111 (tptp.apply @t114 @t127)))) @t122))) % 17.33/17.58 (assume @p92 (forall @t132 (or @t131 @t21))) % 17.33/17.58 (assume @p93 (forall @t132 (or @t131 @t23))) % 17.33/17.58 (assume @p94 (forall @t34 (or @t33 @t80))) % 17.33/17.58 (assume @p95 (forall @t34 (or @t33 (tptp.member @t30 tptp.universal_class)))) % 17.33/17.58 (assume @p96 (forall @t12 (tptp.subclass @t3 @t3))) % 17.33/17.58 (assume @p97 (forall (@list @t3 @t1 @t36) (or @t7 (not (tptp.subclass @t1 @t36)) (tptp.subclass @t3 @t36)))) % 17.33/17.58 (assume @p98 (forall @t10 (or @t13 @t9 @t134))) % 17.33/17.58 (assume @p99 (forall @t10 (or @t11 @t13 @t134))) % 17.33/17.58 (assume @p100 (forall @t25 (or @t135 @t13 @t9))) % 17.33/17.58 (assume @p101 (forall @t10 (or @t11 @t135 @t13))) % 17.33/17.58 (assume @p102 (forall @t25 (not (tptp.member @t1 (tptp.intersection @t50 @t3))))) % 17.33/17.58 (assume @p103 @t136) % 17.33/17.58 (step @p104 :rule eq-symm :args (@t2 @t1)) % 17.33/17.58 (step @p105 :rule eq-symm :args (@t2 @t3)) % 17.33/17.58 (step @p106 :rule refl :args (@t18)) % 17.33/17.58 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t19)) % 17.33/17.58 (step @p108 :rule cong :premises (@p107) :args (@t20)) % 17.33/17.58 (step @p109 :rule eq_resolve :premises (@p8 @p108)) % 17.33/17.58 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.z tptp.universal_class tptp.universal_class))) % 17.33/17.58 (step @p111 :rule bool-double-not-elim :args (@t138)) % 17.33/17.58 (step @p112 :rule refl :args (@t140)) % 17.33/17.58 (step @p113 :rule refl :args (@t141)) % 17.33/17.58 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args ((or @t141 @t140 (not @t142)))) % 17.33/17.58 (assume-push @p836 @t136) % 17.33/17.58 (assume-push @p837 @t139) % 17.33/17.58 (assume-push @p838 @t142) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p120 :rule symm :premises (@p837)) % 17.33/17.58 (step @p121 :rule refl :args (tptp.z)) % 17.33/17.58 (step @p122 :rule cong :premises (@p121 @p120) :args (@t138)) % 17.33/17.58 (step @p123 :rule false_intro :premises (@p838)) % 17.33/17.58 (step @p124 :rule symm :premises (@p123)) % 17.33/17.58 (step @p125 :rule trans :premises (@p124 @p122 @p119)) % 17.33/17.58 (step @p126 false :rule eq_resolve :premises (@p125 @p118)) % 17.33/17.58 (step-pop @p839 :rule scope :premises (@p126)) % 17.33/17.58 (step-pop @p840 :rule scope :premises (@p839)) % 17.33/17.58 (step-pop @p841 :rule scope :premises (@p840)) % 17.33/17.58 (step @p127 :rule process_scope :premises (@p841) :args (false)) % 17.33/17.58 (step @p131 :rule not_and :premises (@p127)) % 17.33/17.58 (step @p132 :rule eq_resolve :premises (@p131 @p114)) % 17.33/17.58 (step @p133 :rule instantiate :premises (@p21) :args ((@list tptp.z @t137 @t144))) % 17.33/17.58 (step @p134 :rule cnf_or_pos :args (@t148)) % 17.33/17.58 (step @p135 :rule reordering :premises (@p134) :args ((or @t138 @t147 (not @t148)))) % 17.33/17.58 (step @p136 :rule eq-symm :args (@t97 tptp.null_class)) % 17.33/17.58 (step @p137 :rule refl :args (@t96)) % 17.33/17.58 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t98)) % 17.33/17.58 (step @p139 :rule cong :premises (@p138) :args (@t99)) % 17.33/17.58 (step @p140 :rule eq_resolve :premises (@p67 @p139)) % 17.33/17.58 (step @p141 :rule refl :args (@t149)) % 17.33/17.58 (step @p142 :rule eq-symm :args (@t137 tptp.null_class)) % 17.33/17.58 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t150)) % 17.33/17.58 (step @p144 :rule refl :args (@t151)) % 17.33/17.58 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t151 @t150))) % 17.33/17.58 (assume-push @p842 @t151) % 17.33/17.58 (step @p147 :rule instantiate :premises (@p140) :args ((@list @t137))) % 17.33/17.58 (step-pop @p843 :rule scope :premises (@p147)) % 17.33/17.58 (step @p148 :rule process_scope :premises (@p843) :args (@t150)) % 17.33/17.58 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 17.33/17.58 (step @p151 :rule implies_elim :premises (@p150)) % 17.33/17.58 (step @p152 :rule chain_m_resolution :premises (@p151 @p140) :args (@t152 @t153 @t154)) % 17.33/17.58 (step @p153 :rule cnf_or_pos :args (@t152)) % 17.33/17.58 (step @p154 :rule reordering :premises (@p153) :args ((or @t139 @t149 (not @t152)))) % 17.33/17.58 (step @p155 :rule bool-double-not-elim :args (@t146)) % 17.33/17.58 (step @p156 :rule refl :args (@t155)) % 17.33/17.58 (step @p157 :rule nary_cong :premises (@p113 @p156 @p155) :args ((or @t141 @t155 (not @t147)))) % 17.33/17.58 (assume-push @p844 @t136) % 17.33/17.58 (assume-push @p845 @t149) % 17.33/17.58 (assume-push @p846 @t147) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p161 :rule symm :premises (@p845)) % 17.33/17.58 (step @p121 :rule refl :args (tptp.z)) % 17.33/17.58 (step @p162 :rule cong :premises (@p121 @p161) :args (@t146)) % 17.33/17.58 (step @p163 :rule false_intro :premises (@p846)) % 17.33/17.58 (step @p164 :rule symm :premises (@p163)) % 17.33/17.58 (step @p165 :rule trans :premises (@p164 @p162 @p119)) % 17.33/17.58 (step @p166 false :rule eq_resolve :premises (@p165 @p118)) % 17.33/17.58 (step-pop @p847 :rule scope :premises (@p166)) % 17.33/17.58 (step-pop @p848 :rule scope :premises (@p847)) % 17.33/17.58 (step-pop @p849 :rule scope :premises (@p848)) % 17.33/17.58 (step @p167 :rule process_scope :premises (@p849) :args (false)) % 17.33/17.58 (step @p171 :rule not_and :premises (@p167)) % 17.33/17.58 (step @p172 :rule eq_resolve :premises (@p171 @p157)) % 17.33/17.58 (step @p173 :rule chain_m_resolution :premises (@p172 @p103 @p154 @p152 @p135 @p133 @p132 @p103) :args (@t138 (@list false false false true false true false) (@list @t136 @t149 @t152 @t146 @t148 @t139 @t136))) % 17.33/17.58 (step @p174 :rule cnf_or_pos :args (@t157)) % 17.33/17.58 (step @p175 :rule factoring :premises (@p174)) % 17.33/17.58 (step @p176 :rule reordering :premises (@p175) :args ((or @t142 @t156 (not @t157)))) % 17.33/17.58 (step @p177 :rule chain_m_resolution :premises (@p176 @p173 @p110) :args (@t156 @t158 (@list @t138 @t157))) % 17.33/17.58 (step @p178 :rule instantiate :premises (@p1) :args ((@list tptp.null_class tptp.universal_class tptp.universal_class))) % 17.33/17.58 (assume-push @p850 @t136) % 17.33/17.58 (assume-push @p851 @t156) % 17.33/17.58 (assume-push @p852 @t136) % 17.33/17.58 (assume-push @p853 @t156) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p183 :rule refl :args (tptp.null_class)) % 17.33/17.58 (step @p184 :rule cong :premises (@p851 @p183) :args (@t159)) % 17.33/17.58 (step @p185 :rule trans :premises (@p184 @p119)) % 17.33/17.58 (step @p186 :rule true_elim :premises (@p185)) % 17.33/17.58 (step-pop @p854 :rule scope :premises (@p186)) % 17.33/17.58 (step-pop @p855 :rule scope :premises (@p854)) % 17.33/17.58 (step @p187 :rule process_scope :premises (@p855) :args (@t159)) % 17.33/17.58 (step @p190 :rule and_intro :premises (@p103 @p851)) % 17.33/17.58 (step @p191 :rule modus_ponens :premises (@p190 @p187)) % 17.33/17.58 (step-pop @p856 :rule scope :premises (@p191)) % 17.33/17.58 (step-pop @p857 :rule scope :premises (@p856)) % 17.33/17.58 (step @p192 :rule process_scope :premises (@p857) :args (@t159)) % 17.33/17.58 (step @p195 :rule implies_elim :premises (@p192)) % 17.33/17.58 (step @p196 :rule cnf_and_neg :args (@t160)) % 17.33/17.58 (step @p197 :rule resolution :premises (@p196 @p195) :args (true @t160)) % 17.33/17.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t141 @t159 @t161))) % 17.33/17.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p103 @p177) :args (@t159 @t158 (@list @t136 @t156))) % 17.33/17.58 (step @p200 :rule instantiate :premises (@p4) :args ((@list tptp.null_class))) % 17.33/17.58 (step @p201 :rule cnf_or_pos :args (@t166)) % 17.33/17.58 (step @p202 :rule reordering :premises (@p201) :args ((or @t162 @t165 @t163 (not @t166)))) % 17.33/17.58 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p199 @p178) :args (@t162 @t167 (@list @t164 @t159 @t166))) % 17.33/17.58 (step @p204 :rule instantiate :premises (@p140) :args (@t168)) % 17.33/17.58 (step @p205 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t104 @t169))) % 17.33/17.58 (step @p206 :rule cnf_or_pos :args (@t174)) % 17.33/17.58 (step @p207 :rule reordering :premises (@p206) :args ((or @t170 @t173 (not @t174)))) % 17.33/17.58 (step @p208 :rule bool-double-not-elim :args (@t172)) % 17.33/17.58 (step @p209 :rule refl :args (@t161)) % 17.33/17.58 (step @p210 :rule refl :args (@t176)) % 17.33/17.58 (step @p211 :rule refl :args (@t179)) % 17.33/17.58 (step @p212 :rule nary_cong :premises (@p113 @p211 @p210 @p209 @p208) :args ((or @t141 @t179 @t176 @t161 @t180))) % 17.33/17.58 (assume-push @p858 @t136) % 17.33/17.58 (assume-push @p859 @t156) % 17.33/17.58 (assume-push @p860 @t178) % 17.33/17.58 (assume-push @p861 @t175) % 17.33/17.58 (assume-push @p862 @t173) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p183 :rule refl :args (tptp.null_class)) % 17.33/17.58 (step @p218 :rule cong :premises (@p859 @p183) :args (@t159)) % 17.33/17.58 (step @p219 :rule symm :premises (@p860)) % 17.33/17.58 (step @p220 :rule symm :premises (@p859)) % 17.33/17.58 (step @p221 :rule cong :premises (@p220 @p219) :args (@t181)) % 17.33/17.58 (step @p222 :rule symm :premises (@p861)) % 17.33/17.58 (step @p223 :rule trans :premises (@p222 @p860)) % 17.33/17.58 (step @p224 :rule cong :premises (@p859 @p223) :args (@t172)) % 17.33/17.58 (step @p225 :rule false_intro :premises (@p862)) % 17.33/17.58 (step @p226 :rule symm :premises (@p225)) % 17.33/17.58 (step @p227 :rule trans :premises (@p226 @p224 @p221 @p218 @p119)) % 17.33/17.58 (step @p228 false :rule eq_resolve :premises (@p227 @p118)) % 17.33/17.58 (step-pop @p863 :rule scope :premises (@p228)) % 17.33/17.58 (step-pop @p864 :rule scope :premises (@p863)) % 17.33/17.58 (step-pop @p865 :rule scope :premises (@p864)) % 17.33/17.58 (step-pop @p866 :rule scope :premises (@p865)) % 17.33/17.58 (step-pop @p867 :rule scope :premises (@p866)) % 17.33/17.58 (step @p229 :rule process_scope :premises (@p867) :args (false)) % 17.33/17.58 (assume-push @p868 @t136) % 17.33/17.58 (assume-push @p869 @t178) % 17.33/17.58 (assume-push @p870 @t175) % 17.33/17.58 (assume-push @p871 @t156) % 17.33/17.58 (assume-push @p872 @t173) % 17.33/17.58 (step @p240 :rule and_intro :premises (@p103 @p871 @p869 @p870 @p872)) % 17.33/17.58 (step-pop @p873 :rule scope :premises (@p240)) % 17.33/17.58 (step-pop @p874 :rule scope :premises (@p873)) % 17.33/17.58 (step-pop @p875 :rule scope :premises (@p874)) % 17.33/17.58 (step-pop @p876 :rule scope :premises (@p875)) % 17.33/17.58 (step-pop @p877 :rule scope :premises (@p876)) % 17.33/17.58 (step @p241 :rule process_scope :premises (@p877) :args (@t182)) % 17.33/17.58 (step @p247 :rule implies_elim :premises (@p241)) % 17.33/17.58 (step @p248 :rule resolution :premises (@p247 @p229) :args (true @t182)) % 17.33/17.58 (step @p249 :rule not_and :premises (@p248)) % 17.33/17.58 (step @p250 :rule eq_resolve :premises (@p249 @p212)) % 17.33/17.58 (step @p251 :rule refl :args (@t175)) % 17.33/17.58 (step @p252 :rule eq-symm :args (@t104 tptp.null_class)) % 17.33/17.58 (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t183)) % 17.33/17.58 (step @p254 :rule cong :premises (@p144 @p253) :args ((=> @t151 @t183))) % 17.33/17.58 (assume-push @p878 @t151) % 17.33/17.58 (step @p256 :rule instantiate :premises (@p140) :args ((@list @t104))) % 17.33/17.58 (step-pop @p879 :rule scope :premises (@p256)) % 17.33/17.58 (step @p257 :rule process_scope :premises (@p879) :args (@t183)) % 17.33/17.58 (step @p259 :rule eq_resolve :premises (@p257 @p254)) % 17.33/17.58 (step @p260 :rule implies_elim :premises (@p259)) % 17.33/17.58 (step @p261 :rule chain_m_resolution :premises (@p260 @p140) :args (@t185 @t153 @t154)) % 17.33/17.58 (step @p262 :rule cnf_or_pos :args (@t185)) % 17.33/17.58 (step @p263 :rule reordering :premises (@p262) :args ((or @t184 @t175 (not @t185)))) % 17.33/17.58 (step @p264 :rule refl :args (@t186)) % 17.33/17.58 (step @p265 :rule bool-double-not-elim :args (@t170)) % 17.33/17.58 (step @p266 :rule nary_cong :premises (@p113 @p211 @p265 @p264 @p209) :args ((or @t141 @t179 (not @t187) @t186 @t161))) % 17.33/17.58 (assume-push @p880 @t136) % 17.33/17.58 (assume-push @p881 @t156) % 17.33/17.58 (assume-push @p882 @t178) % 17.33/17.58 (assume-push @p883 @t184) % 17.33/17.58 (assume-push @p884 @t187) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p183 :rule refl :args (tptp.null_class)) % 17.33/17.58 (step @p272 :rule cong :premises (@p881 @p183) :args (@t159)) % 17.33/17.58 (step @p273 :rule symm :premises (@p882)) % 17.33/17.58 (step @p274 :rule symm :premises (@p881)) % 17.33/17.58 (step @p275 :rule cong :premises (@p274 @p273) :args (@t181)) % 17.33/17.58 (step @p276 :rule symm :premises (@p883)) % 17.33/17.58 (step @p277 :rule trans :premises (@p276 @p882)) % 17.33/17.58 (step @p278 :rule cong :premises (@p881 @p277) :args (@t170)) % 17.33/17.58 (step @p279 :rule false_intro :premises (@p884)) % 17.33/17.58 (step @p280 :rule symm :premises (@p279)) % 17.33/17.58 (step @p281 :rule trans :premises (@p280 @p278 @p275 @p272 @p119)) % 17.33/17.58 (step @p282 false :rule eq_resolve :premises (@p281 @p118)) % 17.33/17.58 (step-pop @p885 :rule scope :premises (@p282)) % 17.33/17.58 (step-pop @p886 :rule scope :premises (@p885)) % 17.33/17.58 (step-pop @p887 :rule scope :premises (@p886)) % 17.33/17.58 (step-pop @p888 :rule scope :premises (@p887)) % 17.33/17.58 (step-pop @p889 :rule scope :premises (@p888)) % 17.33/17.58 (step @p283 :rule process_scope :premises (@p889) :args (false)) % 17.33/17.58 (assume-push @p890 @t136) % 17.33/17.58 (assume-push @p891 @t178) % 17.33/17.58 (assume-push @p892 @t187) % 17.33/17.58 (assume-push @p893 @t184) % 17.33/17.58 (assume-push @p894 @t156) % 17.33/17.58 (step @p294 :rule and_intro :premises (@p103 @p894 @p891 @p893 @p892)) % 17.33/17.58 (step-pop @p895 :rule scope :premises (@p294)) % 17.33/17.58 (step-pop @p896 :rule scope :premises (@p895)) % 17.33/17.58 (step-pop @p897 :rule scope :premises (@p896)) % 17.33/17.58 (step-pop @p898 :rule scope :premises (@p897)) % 17.33/17.58 (step-pop @p899 :rule scope :premises (@p898)) % 17.33/17.58 (step @p295 :rule process_scope :premises (@p899) :args (@t188)) % 17.33/17.58 (step @p301 :rule implies_elim :premises (@p295)) % 17.33/17.58 (step @p302 :rule resolution :premises (@p301 @p283) :args (true @t188)) % 17.33/17.58 (step @p303 :rule not_and :premises (@p302)) % 17.33/17.58 (step @p304 :rule eq_resolve :premises (@p303 @p266)) % 17.33/17.58 (step @p305 :rule chain_m_resolution :premises (@p304 @p177 @p103 @p263 @p261 @p250 @p177 @p103 @p207 @p205) :args ((or @t179 @t170) (@list false false false false true false false true false) (@list @t156 @t136 @t184 @t185 @t175 @t156 @t136 @t172 @t174))) % 17.33/17.58 (step @p306 :rule instantiate :premises (@p24) :args (@t189)) % 17.33/17.58 (step @p307 :rule cnf_or_pos :args (@t192)) % 17.33/17.58 (step @p308 :rule reordering :premises (@p307) :args ((or @t191 @t187 (not @t192)))) % 17.33/17.58 (step @p309 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class tptp.element_relation @t193))) % 17.33/17.58 (step @p310 :rule cnf_or_pos :args (@t197)) % 17.33/17.58 (step @p311 :rule reordering :premises (@p310) :args ((or @t190 @t196 (not @t197)))) % 17.33/17.58 (step @p312 :rule bool-double-not-elim :args (@t195)) % 17.33/17.58 (step @p313 :rule refl :args (@t199)) % 17.33/17.58 (step @p314 :rule nary_cong :premises (@p113 @p211 @p313 @p209 @p312) :args ((or @t141 @t179 @t199 @t161 (not @t196)))) % 17.33/17.58 (assume-push @p900 @t136) % 17.33/17.58 (assume-push @p901 @t156) % 17.33/17.58 (assume-push @p902 @t178) % 17.33/17.58 (assume-push @p903 @t198) % 17.33/17.58 (assume-push @p904 @t196) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p183 :rule refl :args (tptp.null_class)) % 17.33/17.58 (step @p320 :rule cong :premises (@p901 @p183) :args (@t159)) % 17.33/17.58 (step @p321 :rule symm :premises (@p902)) % 17.33/17.58 (step @p322 :rule symm :premises (@p901)) % 17.33/17.58 (step @p323 :rule cong :premises (@p322 @p321) :args (@t181)) % 17.33/17.58 (step @p324 :rule symm :premises (@p903)) % 17.33/17.58 (step @p325 :rule trans :premises (@p324 @p902)) % 17.33/17.58 (step @p326 :rule cong :premises (@p901 @p325) :args (@t195)) % 17.33/17.58 (step @p327 :rule false_intro :premises (@p904)) % 17.33/17.58 (step @p328 :rule symm :premises (@p327)) % 17.33/17.58 (step @p329 :rule trans :premises (@p328 @p326 @p323 @p320 @p119)) % 17.33/17.58 (step @p330 false :rule eq_resolve :premises (@p329 @p118)) % 17.33/17.58 (step-pop @p905 :rule scope :premises (@p330)) % 17.33/17.58 (step-pop @p906 :rule scope :premises (@p905)) % 17.33/17.58 (step-pop @p907 :rule scope :premises (@p906)) % 17.33/17.58 (step-pop @p908 :rule scope :premises (@p907)) % 17.33/17.58 (step-pop @p909 :rule scope :premises (@p908)) % 17.33/17.58 (step @p331 :rule process_scope :premises (@p909) :args (false)) % 17.33/17.58 (assume-push @p910 @t136) % 17.33/17.58 (assume-push @p911 @t178) % 17.33/17.58 (assume-push @p912 @t198) % 17.33/17.58 (assume-push @p913 @t156) % 17.33/17.58 (assume-push @p914 @t196) % 17.33/17.58 (step @p342 :rule and_intro :premises (@p103 @p913 @p911 @p912 @p914)) % 17.33/17.58 (step-pop @p915 :rule scope :premises (@p342)) % 17.33/17.58 (step-pop @p916 :rule scope :premises (@p915)) % 17.33/17.58 (step-pop @p917 :rule scope :premises (@p916)) % 17.33/17.58 (step-pop @p918 :rule scope :premises (@p917)) % 17.33/17.58 (step-pop @p919 :rule scope :premises (@p918)) % 17.33/17.58 (step @p343 :rule process_scope :premises (@p919) :args (@t200)) % 17.33/17.58 (step @p349 :rule implies_elim :premises (@p343)) % 17.33/17.58 (step @p350 :rule resolution :premises (@p349 @p331) :args (true @t200)) % 17.33/17.58 (step @p351 :rule not_and :premises (@p350)) % 17.33/17.58 (step @p352 :rule eq_resolve :premises (@p351 @p314)) % 17.33/17.58 (step @p353 :rule instantiate :premises (@p140) :args (@t201)) % 17.33/17.58 (step @p354 :rule cnf_or_pos :args (@t203)) % 17.33/17.58 (step @p355 :rule reordering :premises (@p354) :args ((or @t202 @t198 (not @t203)))) % 17.33/17.58 (step @p356 :rule refl :args (@t204)) % 17.33/17.58 (step @p357 :rule bool-double-not-elim :args (@t190)) % 17.33/17.58 (step @p358 :rule nary_cong :premises (@p113 @p211 @p357 @p356 @p209) :args ((or @t141 @t179 (not @t191) @t204 @t161))) % 17.33/17.58 (assume-push @p920 @t136) % 17.33/17.58 (assume-push @p921 @t156) % 17.33/17.58 (assume-push @p922 @t178) % 17.33/17.58 (assume-push @p923 @t202) % 17.33/17.58 (assume-push @p924 @t191) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p119 :rule true_intro :premises (@p103)) % 17.33/17.58 (step @p183 :rule refl :args (tptp.null_class)) % 17.33/17.58 (step @p364 :rule cong :premises (@p921 @p183) :args (@t159)) % 17.33/17.58 (step @p365 :rule symm :premises (@p922)) % 17.33/17.58 (step @p366 :rule symm :premises (@p921)) % 17.33/17.58 (step @p367 :rule cong :premises (@p366 @p365) :args (@t181)) % 17.33/17.58 (step @p368 :rule trans :premises (@p923 @p922)) % 17.33/17.58 (step @p369 :rule cong :premises (@p921 @p368) :args (@t190)) % 17.33/17.58 (step @p370 :rule false_intro :premises (@p924)) % 17.33/17.58 (step @p371 :rule symm :premises (@p370)) % 17.33/17.58 (step @p372 :rule trans :premises (@p371 @p369 @p367 @p364 @p119)) % 17.33/17.58 (step @p373 false :rule eq_resolve :premises (@p372 @p118)) % 17.33/17.58 (step-pop @p925 :rule scope :premises (@p373)) % 17.33/17.58 (step-pop @p926 :rule scope :premises (@p925)) % 17.33/17.58 (step-pop @p927 :rule scope :premises (@p926)) % 17.33/17.58 (step-pop @p928 :rule scope :premises (@p927)) % 17.33/17.58 (step-pop @p929 :rule scope :premises (@p928)) % 17.33/17.58 (step @p374 :rule process_scope :premises (@p929) :args (false)) % 17.33/17.58 (assume-push @p930 @t136) % 17.33/17.58 (assume-push @p931 @t178) % 17.33/17.58 (assume-push @p932 @t191) % 17.33/17.58 (assume-push @p933 @t202) % 17.33/17.58 (assume-push @p934 @t156) % 17.33/17.58 (step @p385 :rule and_intro :premises (@p103 @p934 @p931 @p933 @p932)) % 17.33/17.58 (step-pop @p935 :rule scope :premises (@p385)) % 17.33/17.58 (step-pop @p936 :rule scope :premises (@p935)) % 17.33/17.58 (step-pop @p937 :rule scope :premises (@p936)) % 17.33/17.58 (step-pop @p938 :rule scope :premises (@p937)) % 17.33/17.58 (step-pop @p939 :rule scope :premises (@p938)) % 17.33/17.58 (step @p386 :rule process_scope :premises (@p939) :args (@t205)) % 17.33/17.58 (step @p392 :rule implies_elim :premises (@p386)) % 17.33/17.58 (step @p393 :rule resolution :premises (@p392 @p374) :args (true @t205)) % 17.33/17.58 (step @p394 :rule not_and :premises (@p393)) % 17.33/17.58 (step @p395 :rule eq_resolve :premises (@p394 @p358)) % 17.33/17.58 (step @p396 :rule chain_m_resolution :premises (@p395 @p177 @p103 @p355 @p353 @p352 @p177 @p103 @p311 @p309 @p308 @p306 @p305) :args (@t179 (@list false false false false true false false true false true false false) (@list @t156 @t136 @t202 @t203 @t198 @t156 @t136 @t195 @t197 @t190 @t192 @t170))) % 17.33/17.58 (step @p397 :rule cnf_or_pos :args (@t207)) % 17.33/17.58 (step @p398 :rule reordering :premises (@p397) :args ((or @t206 @t178 (not @t207)))) % 17.33/17.58 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p204) :args (@t206 @t208 (@list @t178 @t207))) % 17.33/17.58 (step @p400 :rule instantiate :premises (@p7) :args (@t189)) % 17.33/17.58 (step @p401 :rule instantiate :premises (@p4) :args (@t201)) % 17.33/17.58 (step @p402 :rule instantiate :premises (@p4) :args (@t168)) % 17.33/17.58 (step @p403 :rule refl :args (@t210)) % 17.33/17.58 (step @p404 :rule bool-double-not-elim :args (@t211)) % 17.33/17.58 (step @p405 :rule refl :args (@t213)) % 17.33/17.58 (step @p406 :rule nary_cong :premises (@p405 @p404 @p403) :args ((or @t213 (not @t214) @t210))) % 17.33/17.58 (assume-push @p940 @t212) % 17.33/17.58 (assume-push @p941 @t209) % 17.33/17.58 (assume-push @p942 @t214) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p410 :rule true_intro :premises (@p402)) % 17.33/17.58 (step @p411 :rule symm :premises (@p941)) % 17.33/17.58 (step @p412 :rule refl :args (tptp.universal_class)) % 17.33/17.58 (step @p413 :rule cong :premises (@p412 @p411) :args (@t211)) % 17.33/17.58 (step @p414 :rule false_intro :premises (@p942)) % 17.33/17.58 (step @p415 :rule symm :premises (@p414)) % 17.33/17.58 (step @p416 :rule trans :premises (@p415 @p413 @p410)) % 17.33/17.58 (step @p417 false :rule eq_resolve :premises (@p416 @p118)) % 17.33/17.58 (step-pop @p943 :rule scope :premises (@p417)) % 17.33/17.58 (step-pop @p944 :rule scope :premises (@p943)) % 17.33/17.58 (step-pop @p945 :rule scope :premises (@p944)) % 17.33/17.58 (step @p418 :rule process_scope :premises (@p945) :args (false)) % 17.33/17.58 (assume-push @p946 @t212) % 17.33/17.58 (assume-push @p947 @t214) % 17.33/17.58 (assume-push @p948 @t209) % 17.33/17.58 (step @p425 :rule and_intro :premises (@p402 @p948 @p947)) % 17.33/17.58 (step-pop @p949 :rule scope :premises (@p425)) % 17.33/17.58 (step-pop @p950 :rule scope :premises (@p949)) % 17.33/17.58 (step-pop @p951 :rule scope :premises (@p950)) % 17.33/17.58 (step @p426 :rule process_scope :premises (@p951) :args (@t215)) % 17.33/17.58 (step @p430 :rule implies_elim :premises (@p426)) % 17.33/17.58 (step @p431 :rule resolution :premises (@p430 @p418) :args (true @t215)) % 17.33/17.58 (step @p432 :rule not_and :premises (@p431)) % 17.33/17.58 (step @p433 :rule eq_resolve :premises (@p432 @p406)) % 17.33/17.58 (step @p434 :rule instantiate :premises (@p2) :args (@t189)) % 17.33/17.58 (step @p435 :rule cnf_or_pos :args (@t218)) % 17.33/17.58 (step @p436 :rule reordering :premises (@p435) :args ((or @t211 @t217 (not @t218)))) % 17.33/17.58 (step @p437 :rule instantiate :premises (@p101) :args (@t189)) % 17.33/17.58 (step @p438 :rule cnf_or_pos :args (@t224)) % 17.33/17.58 (step @p439 :rule reordering :premises (@p438) :args ((or @t209 @t223 @t221 (not @t224)))) % 17.33/17.58 (step @p440 :rule instantiate :premises (@p99) :args (@t189)) % 17.33/17.58 (step @p441 :rule cnf_or_pos :args (@t226)) % 17.33/17.58 (step @p442 :rule reordering :premises (@p441) :args ((or @t209 @t225 @t223 (not @t226)))) % 17.33/17.58 (step @p443 :rule instantiate :premises (@p1) :args ((@list tptp.element_relation tptp.universal_class @t219))) % 17.33/17.58 (step @p444 :rule cnf_or_pos :args (@t230)) % 17.33/17.58 (step @p445 :rule reordering :premises (@p444) :args ((or @t229 @t220 @t227 (not @t230)))) % 17.33/17.58 (step @p446 :rule chain_m_resolution :premises (@p445 @p443 @p401 @p442 @p440 @p439 @p437) :args ((or @t209 @t223) (@list false false false false true false) (@list @t230 @t228 @t225 @t226 @t220 @t224))) % 17.33/17.58 (assume-push @p952 @t47) % 17.33/17.58 (step @p448 :rule instantiate :premises (@p21) :args ((@list @t216 tptp.element_relation @t193))) % 17.33/17.58 (step-pop @p953 :rule scope :premises (@p448)) % 17.33/17.58 (step @p449 :rule process_scope :premises (@p953) :args (@t233)) % 17.33/17.58 (step @p451 :rule implies_elim :premises (@p449)) % 17.33/17.58 (step @p452 :rule cnf_or_pos :args (@t233)) % 17.33/17.58 (step @p453 :rule reordering :premises (@p452) :args ((or @t222 @t232 (not @t233)))) % 17.33/17.58 (step @p454 :rule bool-double-not-elim :args (@t209)) % 17.33/17.58 (step @p455 :rule refl :args (@t234)) % 17.33/17.58 (step @p456 :rule nary_cong :premises (@p455 @p454 @p356) :args ((or @t234 (not @t210) @t204))) % 17.33/17.58 (assume-push @p954 @t206) % 17.33/17.58 (assume-push @p955 @t202) % 17.33/17.58 (assume-push @p956 @t210) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p460 :rule symm :premises (@p955)) % 17.33/17.58 (step @p461 :rule trans :premises (@p954 @p460)) % 17.33/17.58 (step @p462 :rule true_intro :premises (@p461)) % 17.33/17.58 (step @p463 :rule false_intro :premises (@p956)) % 17.33/17.58 (step @p464 :rule symm :premises (@p463)) % 17.33/17.58 (step @p465 :rule trans :premises (@p464 @p462)) % 17.33/17.58 (step @p466 false :rule eq_resolve :premises (@p465 @p118)) % 17.33/17.58 (step-pop @p957 :rule scope :premises (@p466)) % 17.33/17.58 (step-pop @p958 :rule scope :premises (@p957)) % 17.33/17.58 (step-pop @p959 :rule scope :premises (@p958)) % 17.33/17.58 (step @p467 :rule process_scope :premises (@p959) :args (false)) % 17.33/17.58 (assume-push @p960 @t206) % 17.33/17.58 (assume-push @p961 @t210) % 17.33/17.58 (assume-push @p962 @t202) % 17.33/17.58 (step @p474 :rule and_intro :premises (@p960 @p962 @p961)) % 17.33/17.58 (step-pop @p963 :rule scope :premises (@p474)) % 17.33/17.58 (step-pop @p964 :rule scope :premises (@p963)) % 17.33/17.58 (step-pop @p965 :rule scope :premises (@p964)) % 17.33/17.58 (step @p475 :rule process_scope :premises (@p965) :args (@t235)) % 17.33/17.58 (step @p479 :rule implies_elim :premises (@p475)) % 17.33/17.58 (step @p480 :rule resolution :premises (@p479 @p467) :args (true @t235)) % 17.33/17.58 (step @p481 :rule not_and :premises (@p480)) % 17.33/17.58 (step @p482 :rule eq_resolve :premises (@p481 @p456)) % 17.33/17.58 (step @p483 :rule reordering :premises (@p482) :args ((or @t209 @t234 @t204))) % 17.33/17.58 (step @p484 :rule bool-double-not-elim :args (@t231)) % 17.33/17.58 (step @p485 :rule refl :args (@t236)) % 17.33/17.58 (step @p486 :rule nary_cong :premises (@p455 @p485 @p313 @p484) :args ((or @t234 @t236 @t199 (not @t232)))) % 17.33/17.58 (assume-push @p966 @t217) % 17.33/17.58 (assume-push @p967 @t206) % 17.33/17.58 (assume-push @p968 @t198) % 17.33/17.58 (assume-push @p969 @t232) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p491 :rule true_intro :premises (@p966)) % 17.33/17.58 (step @p492 :rule symm :premises (@p967)) % 17.33/17.58 (step @p493 :rule symm :premises (@p968)) % 17.33/17.58 (step @p494 :rule trans :premises (@p493 @p492)) % 17.33/17.58 (step @p495 :rule refl :args (@t216)) % 17.33/17.58 (step @p496 :rule cong :premises (@p495 @p494) :args (@t231)) % 17.33/17.58 (step @p497 :rule false_intro :premises (@p969)) % 17.33/17.58 (step @p498 :rule symm :premises (@p497)) % 17.33/17.58 (step @p499 :rule trans :premises (@p498 @p496 @p491)) % 17.33/17.58 (step @p500 false :rule eq_resolve :premises (@p499 @p118)) % 17.33/17.58 (step-pop @p970 :rule scope :premises (@p500)) % 17.33/17.58 (step-pop @p971 :rule scope :premises (@p970)) % 17.33/17.58 (step-pop @p972 :rule scope :premises (@p971)) % 17.33/17.58 (step-pop @p973 :rule scope :premises (@p972)) % 17.33/17.58 (step @p501 :rule process_scope :premises (@p973) :args (false)) % 17.33/17.58 (assume-push @p974 @t206) % 17.33/17.58 (assume-push @p975 @t217) % 17.33/17.58 (assume-push @p976 @t198) % 17.33/17.58 (assume-push @p977 @t232) % 17.33/17.58 (step @p510 :rule and_intro :premises (@p975 @p974 @p976 @p977)) % 17.33/17.58 (step-pop @p978 :rule scope :premises (@p510)) % 17.33/17.58 (step-pop @p979 :rule scope :premises (@p978)) % 17.33/17.58 (step-pop @p980 :rule scope :premises (@p979)) % 17.33/17.58 (step-pop @p981 :rule scope :premises (@p980)) % 17.33/17.58 (step @p511 :rule process_scope :premises (@p981) :args (@t237)) % 17.33/17.58 (step @p516 :rule implies_elim :premises (@p511)) % 17.33/17.58 (step @p517 :rule resolution :premises (@p516 @p501) :args (true @t237)) % 17.33/17.58 (step @p518 :rule not_and :premises (@p517)) % 17.33/17.58 (step @p519 :rule eq_resolve :premises (@p518 @p486)) % 17.33/17.58 (step @p520 :rule chain_m_resolution :premises (@p519 @p355 @p353 @p483 @p453 @p451 @p21 @p446) :args ((or @t209 @t234 @t236) (@list false false true true false false true) (@list @t198 @t203 @t202 @t231 @t233 @t47 @t222))) % 17.33/17.58 (step @p521 :rule chain_m_resolution :premises (@p520 @p399 @p436 @p434 @p433 @p402) :args (@t211 (@list false false false true false) (@list @t206 @t217 @t218 @t209 @t212))) % 17.33/17.58 (step @p522 :rule cnf_or_pos :args (@t238)) % 17.33/17.58 (step @p523 :rule reordering :premises (@p522) :args ((or @t214 @t229 @t209 (not @t238)))) % 17.33/17.58 (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p401 @p400) :args (@t209 @t167 (@list @t211 @t228 @t238))) % 17.33/17.58 (step @p525 :rule eq-symm :args (@t38 tptp.element_relation)) % 17.33/17.58 (step @p526 :rule refl :args (@t239)) % 17.33/17.58 (step @p527 :rule refl :args (@t241)) % 17.33/17.58 (step @p528 :rule nary_cong :premises (@p527 @p526 @p525) :args (@t242)) % 17.33/17.58 (step @p529 :rule refl :args (@t16)) % 17.33/17.58 (step @p530 :rule cong :premises (@p529 @p528) :args ((=> @t16 @t242))) % 17.33/17.58 (assume-push @p982 @t16) % 17.33/17.58 (step @p532 :rule instantiate :premises (@p7) :args ((@list @t38 tptp.element_relation))) % 17.33/17.58 (step-pop @p983 :rule scope :premises (@p532)) % 17.33/17.58 (step @p533 :rule process_scope :premises (@p983) :args (@t242)) % 17.33/17.58 (step @p535 :rule eq_resolve :premises (@p533 @p530)) % 17.33/17.58 (step @p536 :rule implies_elim :premises (@p535)) % 17.33/17.58 (step @p537 :rule chain_m_resolution :premises (@p536 @p7) :args (@t244 @t153 (@list @t16))) % 17.33/17.58 (step @p538 :rule instantiate :premises (@p4) :args ((@list @t38))) % 17.33/17.58 (assume-push @p984 @t209) % 17.33/17.58 (assume-push @p985 @t245) % 17.33/17.58 (assume-push @p986 @t245) % 17.33/17.58 (assume-push @p987 @t209) % 17.33/17.58 (step @p543 :rule true_intro :premises (@p538)) % 17.33/17.58 (step @p544 :rule symm :premises (@p984)) % 17.33/17.58 (step @p545 :rule refl :args (@t38)) % 17.33/17.58 (step @p546 :rule cong :premises (@p545 @p544) :args (@t240)) % 17.33/17.58 (step @p547 :rule trans :premises (@p546 @p543)) % 17.33/17.58 (step @p548 :rule true_elim :premises (@p547)) % 17.33/17.58 (step-pop @p988 :rule scope :premises (@p548)) % 17.33/17.58 (step-pop @p989 :rule scope :premises (@p988)) % 17.33/17.58 (step @p549 :rule process_scope :premises (@p989) :args (@t240)) % 17.33/17.58 (step @p552 :rule and_intro :premises (@p538 @p984)) % 17.33/17.58 (step @p553 :rule modus_ponens :premises (@p552 @p549)) % 17.33/17.58 (step-pop @p990 :rule scope :premises (@p553)) % 17.33/17.58 (step-pop @p991 :rule scope :premises (@p990)) % 17.33/17.58 (step @p554 :rule process_scope :premises (@p991) :args (@t240)) % 17.33/17.58 (step @p557 :rule implies_elim :premises (@p554)) % 17.33/17.58 (step @p558 :rule cnf_and_neg :args (@t246)) % 17.33/17.58 (step @p559 :rule resolution :premises (@p558 @p557) :args (true @t246)) % 17.33/17.58 (step @p560 :rule chain_m_resolution :premises (@p559 @p524 @p538) :args (@t240 @t158 (@list @t209 @t245))) % 17.33/17.58 (step @p561 :rule cnf_or_pos :args (@t244)) % 17.33/17.58 (step @p562 :rule reordering :premises (@p561) :args ((or @t239 @t241 @t243 (not @t244)))) % 17.33/17.58 (step @p563 :rule chain_m_resolution :premises (@p562 @p18 @p560 @p537) :args (@t243 @t167 (@list @t39 @t240 @t244))) % 17.33/17.58 (step @p564 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.universal_class))) % 17.33/17.58 (step @p565 :rule cnf_or_pos :args (@t251)) % 17.33/17.58 (step @p566 :rule reordering :premises (@p565) :args ((or @t247 @t250 (not @t251)))) % 17.33/17.58 (step @p567 :rule chain_m_resolution :premises (@p566 @p203 @p564) :args (@t250 @t158 (@list @t162 @t251))) % 17.33/17.58 (step @p568 :rule refl :args (@t187)) % 17.33/17.58 (step @p569 :rule bool-double-not-elim :args (@t249)) % 17.33/17.58 (step @p570 :rule nary_cong :premises (@p403 @p569 @p568) :args ((or @t210 @t252 @t187))) % 17.33/17.58 (assume-push @p992 @t209) % 17.33/17.58 (assume-push @p993 @t250) % 17.33/17.58 (assume-push @p994 @t250) % 17.33/17.58 (assume-push @p995 @t209) % 17.33/17.58 (step @p575 :rule false_intro :premises (@p993)) % 17.33/17.58 (step @p576 :rule symm :premises (@p992)) % 17.33/17.58 (step @p577 :rule cong :premises (@p576) :args (@t104)) % 17.33/17.58 (step @p578 :rule cong :premises (@p576 @p577) :args ((tptp.member tptp.element_relation @t104))) % 17.33/17.58 (step @p579 :rule refl :args (@t104)) % 17.33/17.58 (step @p580 :rule cong :premises (@p992 @p579) :args (@t170)) % 17.33/17.58 (step @p581 :rule trans :premises (@p580 @p578 @p575)) % 17.33/17.58 (step @p582 :rule false_elim :premises (@p581)) % 17.33/17.58 (step-pop @p996 :rule scope :premises (@p582)) % 17.33/17.58 (step-pop @p997 :rule scope :premises (@p996)) % 17.33/17.58 (step @p583 :rule process_scope :premises (@p997) :args (@t187)) % 17.33/17.58 (step @p586 :rule and_intro :premises (@p993 @p992)) % 17.33/17.58 (step @p587 :rule modus_ponens :premises (@p586 @p583)) % 17.33/17.58 (step-pop @p998 :rule scope :premises (@p587)) % 17.33/17.58 (step-pop @p999 :rule scope :premises (@p998)) % 17.33/17.58 (step @p588 :rule process_scope :premises (@p999) :args (@t187)) % 17.33/17.58 (step @p591 :rule implies_elim :premises (@p588)) % 17.33/17.58 (step @p592 :rule cnf_and_neg :args (@t253)) % 17.33/17.58 (step @p593 :rule resolution :premises (@p592 @p591) :args (true @t253)) % 17.33/17.58 (step @p594 :rule eq_resolve :premises (@p593 @p570)) % 17.33/17.58 (step @p595 :rule reordering :premises (@p594) :args ((or @t249 @t210 @t187))) % 17.33/17.58 (step @p596 :rule chain_m_resolution :premises (@p595 @p567 @p524) :args (@t187 @t208 (@list @t249 @t209))) % 17.33/17.58 (step @p597 :rule chain_m_resolution :premises (@p207 @p596 @p205) :args (@t173 @t208 (@list @t170 @t174))) % 17.33/17.58 (step @p598 :rule refl :args (@t256)) % 17.33/17.58 (step @p599 :rule eq-symm :args (tptp.successor_relation tptp.null_class)) % 17.33/17.58 (step @p600 :rule nary_cong :premises (@p599 @p598) :args (@t257)) % 17.33/17.58 (step @p601 :rule cong :premises (@p144 @p600) :args ((=> @t151 @t257))) % 17.33/17.58 (assume-push @p1000 @t151) % 17.33/17.58 (step @p603 :rule instantiate :premises (@p140) :args (@t258)) % 17.33/17.58 (step-pop @p1001 :rule scope :premises (@p603)) % 17.33/17.58 (step @p604 :rule process_scope :premises (@p1001) :args (@t257)) % 17.33/17.58 (step @p606 :rule eq_resolve :premises (@p604 @p601)) % 17.33/17.58 (step @p607 :rule implies_elim :premises (@p606)) % 17.33/17.58 (step @p608 :rule chain_m_resolution :premises (@p607 @p140) :args (@t260 @t153 @t154)) % 17.33/17.58 (step @p609 :rule cnf_or_pos :args (@t260)) % 17.33/17.58 (step @p610 :rule reordering :premises (@p609) :args ((or @t259 @t256 (not @t260)))) % 17.33/17.58 (step @p611 :rule instantiate :premises (@p4) :args (@t258)) % 17.33/17.58 (assume-push @p1002 @t206) % 17.33/17.58 (assume-push @p1003 @t261) % 17.33/17.58 (assume-push @p1004 @t261) % 17.33/17.58 (assume-push @p1005 @t206) % 17.33/17.58 (step @p616 :rule true_intro :premises (@p611)) % 17.33/17.58 (step @p617 :rule symm :premises (@p1002)) % 17.33/17.58 (step @p618 :rule refl :args (tptp.successor_relation)) % 17.33/17.58 (step @p619 :rule cong :premises (@p618 @p617) :args (@t262)) % 17.33/17.58 (step @p620 :rule trans :premises (@p619 @p616)) % 17.33/17.58 (step @p621 :rule true_elim :premises (@p620)) % 17.33/17.58 (step-pop @p1006 :rule scope :premises (@p621)) % 17.33/17.58 (step-pop @p1007 :rule scope :premises (@p1006)) % 17.33/17.58 (step @p622 :rule process_scope :premises (@p1007) :args (@t262)) % 17.33/17.58 (step @p625 :rule and_intro :premises (@p611 @p1002)) % 17.33/17.58 (step @p626 :rule modus_ponens :premises (@p625 @p622)) % 17.33/17.58 (step-pop @p1008 :rule scope :premises (@p626)) % 17.33/17.58 (step-pop @p1009 :rule scope :premises (@p1008)) % 17.33/17.58 (step @p627 :rule process_scope :premises (@p1009) :args (@t262)) % 17.33/17.58 (step @p630 :rule implies_elim :premises (@p627)) % 17.33/17.58 (step @p631 :rule cnf_and_neg :args (@t263)) % 17.33/17.58 (step @p632 :rule resolution :premises (@p631 @p630) :args (true @t263)) % 17.33/17.58 (step @p633 :rule chain_m_resolution :premises (@p632 @p399 @p611) :args (@t262 @t158 (@list @t206 @t261))) % 17.33/17.58 (step @p634 :rule instantiate :premises (@p7) :args (@t264)) % 17.33/17.58 (step @p635 :rule cnf_or_pos :args (@t268)) % 17.33/17.58 (step @p636 :rule reordering :premises (@p635) :args ((or @t259 @t267 @t265 (not @t268)))) % 17.33/17.58 (step @p637 :rule instantiate :premises (@p3) :args (@t264)) % 17.33/17.58 (step @p638 :rule cnf_or_pos :args (@t272)) % 17.33/17.58 (step @p639 :rule reordering :premises (@p638) :args ((or @t266 @t271 (not @t272)))) % 17.33/17.58 (step @p640 :rule instantiate :premises (@p21) :args ((@list @t269 tptp.successor_relation @t254))) % 17.33/17.58 (step @p641 :rule cnf_or_pos :args (@t275)) % 17.33/17.58 (step @p642 :rule reordering :premises (@p641) :args ((or @t270 @t274 (not @t275)))) % 17.33/17.58 (step @p643 :rule bool-double-not-elim :args (@t273)) % 17.33/17.58 (step @p644 :rule refl :args (@t276)) % 17.33/17.58 (step @p645 :rule refl :args (@t278)) % 17.33/17.58 (step @p646 :rule nary_cong :premises (@p455 @p645 @p644 @p643) :args ((or @t234 @t278 @t276 (not @t274)))) % 17.33/17.58 (assume-push @p1010 @t277) % 17.33/17.58 (assume-push @p1011 @t206) % 17.33/17.58 (assume-push @p1012 @t256) % 17.33/17.58 (assume-push @p1013 @t274) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p651 :rule true_intro :premises (@p1010)) % 17.33/17.58 (step @p652 :rule symm :premises (@p1011)) % 17.33/17.58 (step @p653 :rule symm :premises (@p1012)) % 17.33/17.58 (step @p654 :rule trans :premises (@p653 @p652)) % 17.33/17.58 (step @p618 :rule refl :args (tptp.successor_relation)) % 17.33/17.58 (step @p655 :rule cong :premises (@p652 @p618) :args (@t269)) % 17.33/17.58 (step @p656 :rule cong :premises (@p655 @p654) :args (@t273)) % 17.33/17.58 (step @p657 :rule false_intro :premises (@p1013)) % 17.33/17.58 (step @p658 :rule symm :premises (@p657)) % 17.33/17.58 (step @p659 :rule trans :premises (@p658 @p656 @p651)) % 17.33/17.58 (step @p660 false :rule eq_resolve :premises (@p659 @p118)) % 17.33/17.58 (step-pop @p1014 :rule scope :premises (@p660)) % 17.33/17.58 (step-pop @p1015 :rule scope :premises (@p1014)) % 17.33/17.58 (step-pop @p1016 :rule scope :premises (@p1015)) % 17.33/17.58 (step-pop @p1017 :rule scope :premises (@p1016)) % 17.33/17.58 (step @p661 :rule process_scope :premises (@p1017) :args (false)) % 17.33/17.58 (assume-push @p1018 @t206) % 17.33/17.58 (assume-push @p1019 @t277) % 17.33/17.58 (assume-push @p1020 @t256) % 17.33/17.58 (assume-push @p1021 @t274) % 17.33/17.58 (step @p670 :rule and_intro :premises (@p1019 @p1018 @p1020 @p1021)) % 17.33/17.58 (step-pop @p1022 :rule scope :premises (@p670)) % 17.33/17.58 (step-pop @p1023 :rule scope :premises (@p1022)) % 17.33/17.58 (step-pop @p1024 :rule scope :premises (@p1023)) % 17.33/17.58 (step-pop @p1025 :rule scope :premises (@p1024)) % 17.33/17.58 (step @p671 :rule process_scope :premises (@p1025) :args (@t279)) % 17.33/17.58 (step @p676 :rule implies_elim :premises (@p671)) % 17.33/17.58 (step @p677 :rule resolution :premises (@p676 @p661) :args (true @t279)) % 17.33/17.58 (step @p678 :rule not_and :premises (@p677)) % 17.33/17.58 (step @p679 :rule eq_resolve :premises (@p678 @p646)) % 17.33/17.58 (step @p680 :rule instantiate :premises (@p2) :args (@t280)) % 17.33/17.58 (step @p681 :rule cnf_or_pos :args (@t282)) % 17.33/17.58 (step @p682 :rule reordering :premises (@p681) :args ((or @t277 @t281 (not @t282)))) % 17.33/17.58 (step @p683 :rule instantiate :premises (@p7) :args (@t280)) % 17.33/17.58 (step @p684 :rule cnf_or_pos :args (@t286)) % 17.33/17.58 (step @p685 :rule reordering :premises (@p684) :args ((or @t285 @t284 @t283 (not @t286)))) % 17.33/17.58 (step @p686 :rule refl :args (@t287)) % 17.33/17.58 (step @p687 :rule bool-double-not-elim :args (@t259)) % 17.33/17.58 (step @p688 :rule nary_cong :premises (@p455 @p687 @p686) :args ((or @t234 (not @t288) @t287))) % 17.33/17.58 (assume-push @p1026 @t206) % 17.33/17.58 (assume-push @p1027 @t288) % 17.33/17.58 (assume-push @p1028 @t288) % 17.33/17.58 (assume-push @p1029 @t206) % 17.33/17.58 (step @p693 :rule false_intro :premises (@p1027)) % 17.33/17.58 (step @p618 :rule refl :args (tptp.successor_relation)) % 17.33/17.58 (step @p694 :rule cong :premises (@p1026 @p618) :args (@t283)) % 17.33/17.58 (step @p695 :rule trans :premises (@p694 @p693)) % 17.33/17.58 (step @p696 :rule false_elim :premises (@p695)) % 17.33/17.58 (step-pop @p1030 :rule scope :premises (@p696)) % 17.33/17.58 (step-pop @p1031 :rule scope :premises (@p1030)) % 17.33/17.58 (step @p697 :rule process_scope :premises (@p1031) :args (@t287)) % 17.33/17.58 (step @p700 :rule and_intro :premises (@p1027 @p1026)) % 17.33/17.58 (step @p701 :rule modus_ponens :premises (@p700 @p697)) % 17.33/17.58 (step-pop @p1032 :rule scope :premises (@p701)) % 17.33/17.58 (step-pop @p1033 :rule scope :premises (@p1032)) % 17.33/17.58 (step @p702 :rule process_scope :premises (@p1033) :args (@t287)) % 17.33/17.58 (step @p705 :rule implies_elim :premises (@p702)) % 17.33/17.58 (step @p706 :rule cnf_and_neg :args (@t289)) % 17.33/17.58 (step @p707 :rule resolution :premises (@p706 @p705) :args (true @t289)) % 17.33/17.58 (step @p708 :rule eq_resolve :premises (@p707 @p688)) % 17.33/17.58 (step @p709 :rule chain_m_resolution :premises (@p708 @p399 @p685 @p611 @p683 @p682 @p680 @p679 @p399 @p642 @p640 @p639 @p637 @p636 @p634 @p633 @p610 @p608) :args (@t259 (@list false false false false false false true false true false true false true false false false false) (@list @t206 @t283 @t261 @t286 @t281 @t282 @t277 @t206 @t273 @t275 @t270 @t272 @t266 @t268 @t262 @t256 @t260))) % 17.33/17.58 (step @p710 :rule refl :args (@t288)) % 17.33/17.58 (step @p711 :rule refl :args (@t290)) % 17.33/17.58 (step @p712 :rule refl :args (@t247)) % 17.33/17.58 (step @p713 :rule nary_cong :premises (@p712 @p403 @p569 @p455 @p711 @p710 @p264 @p209) :args ((or @t247 @t210 @t252 @t234 @t290 @t288 @t186 @t161))) % 17.33/17.58 (assume-push @p1034 @t162) % 17.33/17.58 (assume-push @p1035 @t156) % 17.33/17.58 (assume-push @p1036 @t206) % 17.33/17.58 (assume-push @p1037 @t209) % 17.33/17.58 (assume-push @p1038 @t243) % 17.33/17.58 (assume-push @p1039 @t184) % 17.33/17.58 (assume-push @p1040 @t259) % 17.33/17.58 (assume-push @p1041 @t250) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p722 :rule true_intro :premises (@p1034)) % 17.33/17.58 (step @p412 :rule refl :args (tptp.universal_class)) % 17.33/17.58 (step @p723 :rule symm :premises (@p1035)) % 17.33/17.58 (step @p724 :rule cong :premises (@p723 @p412) :args (@t291)) % 17.33/17.58 (step @p725 :rule symm :premises (@p1037)) % 17.33/17.58 (step @p726 :rule symm :premises (@p1038)) % 17.33/17.58 (step @p727 :rule trans :premises (@p726 @p725)) % 17.33/17.58 (step @p728 :rule symm :premises (@p1036)) % 17.33/17.58 (step @p729 :rule trans :premises (@p728 @p1035)) % 17.33/17.58 (step @p730 :rule cong :premises (@p729 @p727) :args (@t292)) % 17.33/17.58 (step @p731 :rule symm :premises (@p1039)) % 17.33/17.58 (step @p732 :rule cong :premises (@p1037) :args (@t248)) % 17.33/17.58 (step @p733 :rule cong :premises (@p727) :args ((tptp.complement @t38))) % 17.33/17.58 (step @p734 :rule symm :premises (@p1040)) % 17.33/17.58 (step @p735 :rule trans :premises (@p734 @p728 @p1037 @p1038)) % 17.33/17.58 (step @p736 :rule cong :premises (@p735) :args (@t293)) % 17.33/17.58 (step @p737 :rule trans :premises (@p736 @p733 @p732 @p731 @p728 @p1037 @p1038)) % 17.33/17.58 (step @p738 :rule trans :premises (@p727 @p1036)) % 17.33/17.58 (step @p739 :rule cong :premises (@p738 @p737) :args ((tptp.member @t38 @t293))) % 17.33/17.58 (step @p740 :rule symm :premises (@p736)) % 17.33/17.58 (step @p741 :rule symm :premises (@p733)) % 17.33/17.58 (step @p742 :rule trans :premises (@p741 @p740)) % 17.33/17.58 (step @p743 :rule symm :premises (@p727)) % 17.33/17.58 (step @p744 :rule cong :premises (@p743 @p742) :args (@t249)) % 17.33/17.58 (step @p745 :rule false_intro :premises (@p1041)) % 17.33/17.58 (step @p746 :rule symm :premises (@p745)) % 17.33/17.58 (step @p747 :rule trans :premises (@p746 @p744 @p739 @p730 @p724 @p722)) % 17.33/17.58 (step @p748 false :rule eq_resolve :premises (@p747 @p118)) % 17.33/17.58 (step-pop @p1042 :rule scope :premises (@p748)) % 17.33/17.58 (step-pop @p1043 :rule scope :premises (@p1042)) % 17.33/17.58 (step-pop @p1044 :rule scope :premises (@p1043)) % 17.33/17.58 (step-pop @p1045 :rule scope :premises (@p1044)) % 17.33/17.58 (step-pop @p1046 :rule scope :premises (@p1045)) % 17.33/17.58 (step-pop @p1047 :rule scope :premises (@p1046)) % 17.33/17.58 (step-pop @p1048 :rule scope :premises (@p1047)) % 17.33/17.58 (step-pop @p1049 :rule scope :premises (@p1048)) % 17.33/17.58 (step @p749 :rule process_scope :premises (@p1049) :args (false)) % 17.33/17.58 (assume-push @p1050 @t162) % 17.33/17.58 (assume-push @p1051 @t209) % 17.33/17.58 (assume-push @p1052 @t250) % 17.33/17.58 (assume-push @p1053 @t206) % 17.33/17.58 (assume-push @p1054 @t243) % 17.33/17.58 (assume-push @p1055 @t259) % 17.33/17.58 (assume-push @p1056 @t184) % 17.33/17.58 (assume-push @p1057 @t156) % 17.33/17.58 (step @p766 :rule and_intro :premises (@p1050 @p1057 @p1053 @p1051 @p1054 @p1056 @p1055 @p1052)) % 17.33/17.58 (step-pop @p1058 :rule scope :premises (@p766)) % 17.33/17.58 (step-pop @p1059 :rule scope :premises (@p1058)) % 17.33/17.58 (step-pop @p1060 :rule scope :premises (@p1059)) % 17.33/17.58 (step-pop @p1061 :rule scope :premises (@p1060)) % 17.33/17.58 (step-pop @p1062 :rule scope :premises (@p1061)) % 17.33/17.58 (step-pop @p1063 :rule scope :premises (@p1062)) % 17.33/17.58 (step-pop @p1064 :rule scope :premises (@p1063)) % 17.33/17.58 (step-pop @p1065 :rule scope :premises (@p1064)) % 17.33/17.58 (step @p767 :rule process_scope :premises (@p1065) :args (@t294)) % 17.33/17.58 (step @p776 :rule implies_elim :premises (@p767)) % 17.33/17.58 (step @p777 :rule resolution :premises (@p776 @p749) :args (true @t294)) % 17.33/17.58 (step @p778 :rule not_and :premises (@p777)) % 17.33/17.58 (step @p779 :rule eq_resolve :premises (@p778 @p713)) % 17.33/17.58 (step @p780 :rule reordering :premises (@p779) :args ((or @t247 @t249 @t210 @t234 @t290 @t288 @t186 @t161))) % 17.33/17.58 (step @p781 :rule chain_m_resolution :premises (@p780 @p203 @p567 @p524 @p399 @p563 @p709 @p177) :args (@t186 @t295 (@list @t162 @t249 @t209 @t206 @t243 @t259 @t156))) % 17.33/17.58 (step @p782 :rule chain_m_resolution :premises (@p263 @p781 @p261) :args (@t175 @t208 (@list @t184 @t185))) % 17.33/17.58 (step @p783 :rule nary_cong :premises (@p712 @p403 @p455 @p711 @p210 @p209 @p208) :args ((or @t247 @t210 @t234 @t290 @t176 @t161 @t180))) % 17.33/17.58 (assume-push @p1066 @t162) % 17.33/17.58 (assume-push @p1067 @t156) % 17.33/17.58 (assume-push @p1068 @t206) % 17.33/17.58 (assume-push @p1069 @t209) % 17.33/17.58 (assume-push @p1070 @t243) % 17.33/17.58 (assume-push @p1071 @t175) % 17.33/17.58 (assume-push @p1072 @t173) % 17.33/17.58 (step @p118 :rule evaluate :args (@t143)) % 17.33/17.58 (step @p791 :rule true_intro :premises (@p1066)) % 17.33/17.58 (step @p412 :rule refl :args (tptp.universal_class)) % 17.33/17.58 (step @p792 :rule symm :premises (@p1067)) % 17.33/17.58 (step @p793 :rule cong :premises (@p792 @p412) :args (@t291)) % 17.33/17.58 (step @p794 :rule symm :premises (@p1069)) % 17.33/17.58 (step @p795 :rule symm :premises (@p1070)) % 17.33/17.58 (step @p796 :rule trans :premises (@p795 @p794)) % 17.33/17.58 (step @p797 :rule symm :premises (@p1068)) % 17.33/17.58 (step @p798 :rule trans :premises (@p797 @p1067)) % 17.33/17.58 (step @p799 :rule cong :premises (@p798 @p796) :args (@t292)) % 17.33/17.58 (step @p800 :rule symm :premises (@p1071)) % 17.33/17.58 (step @p801 :rule trans :premises (@p800 @p797 @p1069 @p1070)) % 17.33/17.58 (step @p802 :rule cong :premises (@p1068 @p801) :args (@t172)) % 17.33/17.58 (step @p803 :rule false_intro :premises (@p1072)) % 17.33/17.58 (step @p804 :rule symm :premises (@p803)) % 17.33/17.58 (step @p805 :rule trans :premises (@p804 @p802 @p799 @p793 @p791)) % 17.33/17.58 (step @p806 false :rule eq_resolve :premises (@p805 @p118)) % 17.33/17.58 (step-pop @p1073 :rule scope :premises (@p806)) % 17.33/17.58 (step-pop @p1074 :rule scope :premises (@p1073)) % 17.33/17.58 (step-pop @p1075 :rule scope :premises (@p1074)) % 17.33/17.58 (step-pop @p1076 :rule scope :premises (@p1075)) % 17.33/17.58 (step-pop @p1077 :rule scope :premises (@p1076)) % 17.33/17.58 (step-pop @p1078 :rule scope :premises (@p1077)) % 17.33/17.58 (step-pop @p1079 :rule scope :premises (@p1078)) % 17.33/17.58 (step @p807 :rule process_scope :premises (@p1079) :args (false)) % 17.33/17.58 (assume-push @p1080 @t162) % 17.33/17.58 (assume-push @p1081 @t209) % 17.33/17.58 (assume-push @p1082 @t206) % 17.33/17.58 (assume-push @p1083 @t243) % 17.33/17.58 (assume-push @p1084 @t175) % 17.33/17.58 (assume-push @p1085 @t156) % 17.33/17.58 (assume-push @p1086 @t173) % 17.33/17.58 (step @p822 :rule and_intro :premises (@p1080 @p1085 @p1082 @p1081 @p1083 @p1084 @p1086)) % 17.33/17.58 (step-pop @p1087 :rule scope :premises (@p822)) % 17.33/17.58 (step-pop @p1088 :rule scope :premises (@p1087)) % 17.33/17.58 (step-pop @p1089 :rule scope :premises (@p1088)) % 17.33/17.58 (step-pop @p1090 :rule scope :premises (@p1089)) % 17.33/17.58 (step-pop @p1091 :rule scope :premises (@p1090)) % 17.33/17.58 (step-pop @p1092 :rule scope :premises (@p1091)) % 17.33/17.58 (step-pop @p1093 :rule scope :premises (@p1092)) % 17.33/17.58 (step @p823 :rule process_scope :premises (@p1093) :args (@t296)) % 17.33/17.58 (step @p831 :rule implies_elim :premises (@p823)) % 17.33/17.58 (step @p832 :rule resolution :premises (@p831 @p807) :args (true @t296)) % 17.33/17.58 (step @p833 :rule not_and :premises (@p832)) % 17.33/17.58 (step @p834 :rule eq_resolve :premises (@p833 @p783)) % 17.33/17.58 (step @p835 false :rule chain_m_resolution :premises (@p834 @p782 @p597 @p563 @p524 @p399 @p203 @p177) :args (false @t295 (@list @t175 @t172 @t243 @t209 @t206 @t162 @t156))) % 17.33/17.58 ) % 17.33/17.58 % SZS output end Proof % 17.33/17.58 % cvc5 exiting %------------------------------------------------------------------------------