%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET061-6 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 16.81s 17.08s % Output : Proof 16.81s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET061-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:49:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.60 --- Run --no-e-matching --full-saturate-quant at 6... % 16.81/17.08 % SZS status Unsatisfiable % 16.81/17.08 % SZS output start Proof % 16.81/17.09 ( % 16.81/17.09 (declare-sort $$unsorted 0) % 16.81/17.09 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.operation (-> $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.function (-> $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.element_relation $$unsorted) % 16.81/17.09 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.universal_class $$unsorted) % 16.81/17.09 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.successor_relation $$unsorted) % 16.81/17.09 (declare-const tptp.choice $$unsorted) % 16.81/17.09 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.subset_relation $$unsorted) % 16.81/17.09 (declare-const tptp.null_class $$unsorted) % 16.81/17.09 (declare-const tptp.z $$unsorted) % 16.81/17.09 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.omega $$unsorted) % 16.81/17.09 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.81/17.09 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.identity_relation $$unsorted) % 16.81/17.09 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 16.81/17.09 (declare-const tptp.inductive (-> $$unsorted Bool)) % 16.81/17.09 (define @t1 () (@var "Y" $$unsorted)) % 16.81/17.09 (define @t2 () (@var "U" $$unsorted)) % 16.81/17.09 (define @t3 () (@var "X" $$unsorted)) % 16.81/17.09 (define @t4 () (tptp.member @t2 @t3)) % 16.81/17.09 (define @t5 () (not @t4)) % 16.81/17.09 (define @t6 () (tptp.subclass @t3 @t1)) % 16.81/17.09 (define @t7 () (not @t6)) % 16.81/17.09 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 16.81/17.09 (define @t9 () (@list @t3 @t1)) % 16.81/17.09 (define @t10 () (@list @t3)) % 16.81/17.09 (define @t11 () (= @t3 @t1)) % 16.81/17.09 (define @t12 () (not @t11)) % 16.81/17.09 (define @t13 () (tptp.subclass @t1 @t3)) % 16.81/17.09 (define @t14 () (forall @t9 (or @t7 (not @t13) @t11))) % 16.81/17.09 (define @t15 () (tptp.unordered_pair @t3 @t1)) % 16.81/17.09 (define @t16 () (not (tptp.member @t2 @t15))) % 16.81/17.09 (define @t17 () (or @t16 (= @t2 @t3) (= @t2 @t1))) % 16.81/17.09 (define @t18 () (forall (@list @t2 @t3 @t1) @t17)) % 16.81/17.09 (define @t19 () (not (tptp.member @t3 tptp.universal_class))) % 16.81/17.09 (define @t20 () (not (tptp.member @t1 tptp.universal_class))) % 16.81/17.09 (define @t21 () (tptp.singleton @t3)) % 16.81/17.09 (define @t22 () (tptp.ordered_pair @t3 @t1)) % 16.81/17.09 (define @t23 () (tptp.singleton @t1)) % 16.81/17.09 (define @t24 () (tptp.cross_product @t3 @t1)) % 16.81/17.09 (define @t25 () (@var "V" $$unsorted)) % 16.81/17.09 (define @t26 () (tptp.ordered_pair @t2 @t25)) % 16.81/17.09 (define @t27 () (tptp.member @t26 @t24)) % 16.81/17.09 (define @t28 () (not @t27)) % 16.81/17.09 (define @t29 () (@list @t2 @t25 @t3 @t1)) % 16.81/17.09 (define @t30 () (tptp.member @t25 @t1)) % 16.81/17.09 (define @t31 () (@var "Z" $$unsorted)) % 16.81/17.09 (define @t32 () (@list @t31 @t3 @t1)) % 16.81/17.09 (define @t33 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 16.81/17.09 (define @t34 () (tptp.subclass tptp.element_relation @t33)) % 16.81/17.09 (define @t35 () (tptp.member @t3 @t1)) % 16.81/17.09 (define @t36 () (tptp.member @t22 tptp.element_relation)) % 16.81/17.09 (define @t37 () (not (tptp.member @t22 @t33))) % 16.81/17.09 (define @t38 () (tptp.member @t31 @t3)) % 16.81/17.09 (define @t39 () (tptp.intersection @t3 @t1)) % 16.81/17.09 (define @t40 () (tptp.member @t31 @t39)) % 16.81/17.09 (define @t41 () (not @t40)) % 16.81/17.09 (define @t42 () (forall @t32 (or @t41 @t38))) % 16.81/17.09 (define @t43 () (tptp.member @t31 @t1)) % 16.81/17.09 (define @t44 () (not @t38)) % 16.81/17.09 (define @t45 () (tptp.complement @t3)) % 16.81/17.09 (define @t46 () (tptp.member @t31 @t45)) % 16.81/17.09 (define @t47 () (@list @t31 @t3)) % 16.81/17.09 (define @t48 () (not (tptp.member @t31 tptp.universal_class))) % 16.81/17.09 (define @t49 () (tptp.complement (tptp.intersection @t45 (tptp.complement @t1)))) % 16.81/17.09 (define @t50 () (@var "Xr" $$unsorted)) % 16.81/17.09 (define @t51 () (tptp.restrict @t50 @t3 @t1)) % 16.81/17.09 (define @t52 () (tptp.domain_of @t3)) % 16.81/17.09 (define @t53 () (tptp.member @t31 @t52)) % 16.81/17.09 (define @t54 () (= (tptp.restrict @t3 (tptp.singleton @t31) tptp.universal_class) tptp.null_class)) % 16.81/17.09 (define @t55 () (tptp.cross_product @t33 tptp.universal_class)) % 16.81/17.09 (define @t56 () (tptp.rotate @t3)) % 16.81/17.09 (define @t57 () (@var "W" $$unsorted)) % 16.81/17.09 (define @t58 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t57) @t2) @t3)) % 16.81/17.09 (define @t59 () (tptp.ordered_pair @t26 @t57)) % 16.81/17.09 (define @t60 () (tptp.member @t59 @t56)) % 16.81/17.09 (define @t61 () (@list @t2 @t25 @t57 @t3)) % 16.81/17.09 (define @t62 () (not (tptp.member @t59 @t55))) % 16.81/17.09 (define @t63 () (tptp.flip @t3)) % 16.81/17.09 (define @t64 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t2) @t57) @t3)) % 16.81/17.09 (define @t65 () (tptp.member @t59 @t63)) % 16.81/17.09 (define @t66 () (@list @t1)) % 16.81/17.09 (define @t67 () (tptp.successor @t3)) % 16.81/17.09 (define @t68 () (= @t67 @t1)) % 16.81/17.09 (define @t69 () (tptp.member @t22 tptp.successor_relation)) % 16.81/17.09 (define @t70 () (tptp.member tptp.null_class @t3)) % 16.81/17.09 (define @t71 () (tptp.inductive @t3)) % 16.81/17.09 (define @t72 () (not @t71)) % 16.81/17.09 (define @t73 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 16.81/17.09 (define @t74 () (tptp.sum_class @t3)) % 16.81/17.09 (define @t75 () (@var "Yr" $$unsorted)) % 16.81/17.09 (define @t76 () (tptp.compose @t75 @t50)) % 16.81/17.09 (define @t77 () (tptp.member @t31 (tptp.image @t75 (tptp.image @t50 @t23)))) % 16.81/17.09 (define @t78 () (tptp.ordered_pair @t1 @t31)) % 16.81/17.09 (define @t79 () (tptp.member @t78 @t76)) % 16.81/17.09 (define @t80 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 16.81/17.09 (define @t81 () (tptp.single_valued_class @t3)) % 16.81/17.09 (define @t82 () (@var "Xf" $$unsorted)) % 16.81/17.09 (define @t83 () (tptp.subclass @t82 @t33)) % 16.81/17.09 (define @t84 () (tptp.function @t82)) % 16.81/17.09 (define @t85 () (not @t84)) % 16.81/17.09 (define @t86 () (@list @t82)) % 16.81/17.09 (define @t87 () (tptp.inverse @t82)) % 16.81/17.09 (define @t88 () (tptp.subclass (tptp.compose @t82 @t87) tptp.identity_relation)) % 16.81/17.09 (define @t89 () (tptp.regular @t3)) % 16.81/17.09 (define @t90 () (= @t3 tptp.null_class)) % 16.81/17.09 (define @t91 () (tptp.intersection @t3 @t89)) % 16.81/17.09 (define @t92 () (or @t90 (= @t91 tptp.null_class))) % 16.81/17.09 (define @t93 () (forall @t10 @t92)) % 16.81/17.09 (define @t94 () (tptp.one_to_one @t82)) % 16.81/17.09 (define @t95 () (not @t94)) % 16.81/17.09 (define @t96 () (tptp.function @t87)) % 16.81/17.09 (define @t97 () (tptp.inverse tptp.element_relation)) % 16.81/17.09 (define @t98 () (tptp.complement tptp.element_relation)) % 16.81/17.09 (define @t99 () (tptp.operation @t82)) % 16.81/17.09 (define @t100 () (not @t99)) % 16.81/17.09 (define @t101 () (tptp.domain_of @t82)) % 16.81/17.09 (define @t102 () (tptp.domain_of @t101)) % 16.81/17.09 (define @t103 () (= (tptp.cross_product @t102 @t102) @t101)) % 16.81/17.09 (define @t104 () (tptp.subclass (tptp.range_of @t82) @t102)) % 16.81/17.09 (define @t105 () (@var "Xh" $$unsorted)) % 16.81/17.09 (define @t106 () (tptp.function @t105)) % 16.81/17.09 (define @t107 () (@var "Xf2" $$unsorted)) % 16.81/17.09 (define @t108 () (@var "Xf1" $$unsorted)) % 16.81/17.09 (define @t109 () (tptp.compatible @t105 @t108 @t107)) % 16.81/17.09 (define @t110 () (not @t109)) % 16.81/17.09 (define @t111 () (@list @t105 @t108 @t107)) % 16.81/17.09 (define @t112 () (tptp.domain_of @t108)) % 16.81/17.09 (define @t113 () (= (tptp.domain_of @t112) (tptp.domain_of @t105))) % 16.81/17.09 (define @t114 () (tptp.subclass (tptp.range_of @t105) (tptp.domain_of (tptp.domain_of @t107)))) % 16.81/17.09 (define @t115 () (tptp.operation @t108)) % 16.81/17.09 (define @t116 () (tptp.homomorphism @t105 @t108 @t107)) % 16.81/17.09 (define @t117 () (not @t116)) % 16.81/17.09 (define @t118 () (tptp.operation @t107)) % 16.81/17.09 (define @t119 () (tptp.not_homomorphism2 @t105 @t108 @t107)) % 16.81/17.09 (define @t120 () (tptp.not_homomorphism1 @t105 @t108 @t107)) % 16.81/17.09 (define @t121 () (tptp.ordered_pair @t120 @t119)) % 16.81/17.09 (define @t122 () (not @t118)) % 16.81/17.09 (define @t123 () (not @t115)) % 16.81/17.09 (define @t124 () (@list @t108 @t107 @t105)) % 16.81/17.09 (define @t125 () (tptp.member tptp.z tptp.null_class)) % 16.81/17.09 (define @t126 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 16.81/17.09 (define @t127 () (tptp.member tptp.z @t126)) % 16.81/17.09 (define @t128 () (= tptp.null_class @t126)) % 16.81/17.09 (define @t129 () (not @t128)) % 16.81/17.09 (define @t130 () (not @t125)) % 16.81/17.09 (define @t131 () (not @t127)) % 16.81/17.09 (define @t132 () (= false true)) % 16.81/17.09 (define @t133 () (tptp.regular @t126)) % 16.81/17.09 (define @t134 () (tptp.intersection @t126 @t133)) % 16.81/17.09 (define @t135 () (tptp.member tptp.z @t134)) % 16.81/17.09 (define @t136 () (not @t135)) % 16.81/17.09 (define @t137 () (or @t136 @t127)) % 16.81/17.09 (define @t138 () (= tptp.null_class @t134)) % 16.81/17.09 (define @t139 () (or (= @t126 tptp.null_class) @t138)) % 16.81/17.09 (define @t140 () (forall @t10 (or @t90 (= tptp.null_class @t91)))) % 16.81/17.09 (define @t141 () (or @t128 @t138)) % 16.81/17.09 (define @t142 () (@list false)) % 16.81/17.09 (define @t143 () (@list @t140)) % 16.81/17.09 (define @t144 () (not @t138)) % 16.81/17.09 (define @t145 () (= tptp.universal_class tptp.z)) % 16.81/17.09 (define @t146 () (or @t131 @t145 @t145)) % 16.81/17.09 (define @t147 () (@list false false)) % 16.81/17.09 (define @t148 () (tptp.member tptp.universal_class tptp.null_class)) % 16.81/17.09 (define @t149 () (and @t125 @t145)) % 16.81/17.09 (define @t150 () (not @t145)) % 16.81/17.09 (define @t151 () (tptp.member tptp.universal_class tptp.universal_class)) % 16.81/17.09 (define @t152 () (not @t148)) % 16.81/17.09 (define @t153 () (tptp.subclass tptp.null_class tptp.universal_class)) % 16.81/17.09 (define @t154 () (not @t153)) % 16.81/17.09 (define @t155 () (or @t154 @t152 @t151)) % 16.81/17.09 (define @t156 () (@list false false false)) % 16.81/17.09 (define @t157 () (tptp.regular @t98)) % 16.81/17.09 (define @t158 () (tptp.member tptp.universal_class @t98)) % 16.81/17.09 (define @t159 () (tptp.intersection @t98 @t157)) % 16.81/17.09 (define @t160 () (tptp.member tptp.universal_class @t159)) % 16.81/17.09 (define @t161 () (not @t160)) % 16.81/17.09 (define @t162 () (or @t161 @t158)) % 16.81/17.09 (define @t163 () (= tptp.null_class @t159)) % 16.81/17.09 (define @t164 () (not @t163)) % 16.81/17.09 (define @t165 () (tptp.intersection tptp.universal_class (tptp.regular tptp.universal_class))) % 16.81/17.09 (define @t166 () (= tptp.null_class @t165)) % 16.81/17.09 (define @t167 () (not @t166)) % 16.81/17.09 (define @t168 () (not @t161)) % 16.81/17.09 (define @t169 () (tptp.member tptp.z @t165)) % 16.81/17.09 (define @t170 () (and @t125 @t145 @t166 @t163 @t161)) % 16.81/17.09 (define @t171 () (or (= @t98 tptp.null_class) @t163)) % 16.81/17.09 (define @t172 () (= tptp.null_class @t98)) % 16.81/17.09 (define @t173 () (or @t172 @t163)) % 16.81/17.09 (define @t174 () (not @t172)) % 16.81/17.09 (define @t175 () (not @t158)) % 16.81/17.09 (define @t176 () (and @t125 @t145 @t166 @t172 @t175)) % 16.81/17.09 (define @t177 () (@list tptp.universal_class tptp.element_relation)) % 16.81/17.09 (define @t178 () (tptp.member tptp.universal_class tptp.element_relation)) % 16.81/17.09 (define @t179 () (not @t178)) % 16.81/17.09 (define @t180 () (or @t175 @t179)) % 16.81/17.09 (define @t181 () (tptp.regular tptp.element_relation)) % 16.81/17.09 (define @t182 () (tptp.intersection tptp.element_relation @t181)) % 16.81/17.09 (define @t183 () (tptp.member tptp.universal_class @t182)) % 16.81/17.09 (define @t184 () (not @t183)) % 16.81/17.09 (define @t185 () (or @t184 @t178)) % 16.81/17.09 (define @t186 () (= tptp.null_class @t182)) % 16.81/17.09 (define @t187 () (not @t186)) % 16.81/17.09 (define @t188 () (and @t125 @t145 @t166 @t186 @t184)) % 16.81/17.09 (define @t189 () (@list tptp.element_relation)) % 16.81/17.09 (define @t190 () (= tptp.element_relation tptp.null_class)) % 16.81/17.09 (define @t191 () (or @t190 @t186)) % 16.81/17.09 (define @t192 () (not @t190)) % 16.81/17.09 (define @t193 () (and @t125 @t145 @t166 @t190 @t179)) % 16.81/17.09 (define @t194 () (= tptp.universal_class tptp.null_class)) % 16.81/17.09 (define @t195 () (or @t194 @t166)) % 16.81/17.09 (define @t196 () (@list true false)) % 16.81/17.09 (define @t197 () (tptp.subclass tptp.universal_class tptp.element_relation)) % 16.81/17.09 (define @t198 () (tptp.not_subclass_element tptp.universal_class tptp.element_relation)) % 16.81/17.09 (define @t199 () (tptp.member @t198 tptp.universal_class)) % 16.81/17.09 (define @t200 () (or @t199 @t197)) % 16.81/17.09 (define @t201 () (tptp.member @t198 tptp.element_relation)) % 16.81/17.09 (define @t202 () (not @t201)) % 16.81/17.09 (define @t203 () (or @t202 @t197)) % 16.81/17.09 (define @t204 () (tptp.member @t198 @t182)) % 16.81/17.09 (define @t205 () (not @t204)) % 16.81/17.09 (define @t206 () (or @t205 @t201)) % 16.81/17.09 (define @t207 () (not @t199)) % 16.81/17.09 (define @t208 () (not @t194)) % 16.81/17.09 (define @t209 () (and @t199 @t194 @t190 @t202)) % 16.81/17.09 (define @t210 () (and @t199 @t194 @t186 @t205)) % 16.81/17.09 (define @t211 () (= tptp.universal_class tptp.element_relation)) % 16.81/17.09 (define @t212 () (tptp.subclass tptp.element_relation tptp.universal_class)) % 16.81/17.09 (define @t213 () (not @t212)) % 16.81/17.09 (define @t214 () (not @t197)) % 16.81/17.09 (define @t215 () (or @t214 @t213 @t211)) % 16.81/17.09 (define @t216 () (not @t34)) % 16.81/17.09 (define @t217 () (tptp.subclass @t33 tptp.element_relation)) % 16.81/17.09 (define @t218 () (not @t217)) % 16.81/17.09 (define @t219 () (or @t218 @t216 (= @t33 tptp.element_relation))) % 16.81/17.09 (define @t220 () (= tptp.element_relation @t33)) % 16.81/17.09 (define @t221 () (or @t218 @t216 @t220)) % 16.81/17.09 (define @t222 () (tptp.subclass @t33 tptp.universal_class)) % 16.81/17.09 (define @t223 () (and @t211 @t222)) % 16.81/17.09 (define @t224 () (not @t151)) % 16.81/17.09 (define @t225 () (tptp.complement tptp.universal_class)) % 16.81/17.09 (define @t226 () (tptp.member tptp.universal_class @t225)) % 16.81/17.09 (define @t227 () (not @t226)) % 16.81/17.09 (define @t228 () (or @t227 @t224)) % 16.81/17.09 (define @t229 () (not @t211)) % 16.81/17.09 (define @t230 () (not @t227)) % 16.81/17.09 (define @t231 () (and @t211 @t227)) % 16.81/17.09 (define @t232 () (not @t220)) % 16.81/17.09 (define @t233 () (tptp.member tptp.z tptp.universal_class)) % 16.81/17.09 (define @t234 () (tptp.member tptp.null_class @t33)) % 16.81/17.09 (define @t235 () (tptp.complement @t55)) % 16.81/17.09 (define @t236 () (and @t151 @t145 @t194 @t211 @t220 @t172 @t227)) % 16.81/17.09 (define @t237 () (and @t151 @t145 @t194 @t211 @t220 @t163 @t161)) % 16.81/17.09 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 16.81/17.09 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 16.81/17.09 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 16.81/17.09 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 16.81/17.09 (assume @p5 (forall @t9 (or @t12 @t6))) % 16.81/17.09 (assume @p6 (forall @t9 (or @t12 @t13))) % 16.81/17.09 (assume @p7 @t14) % 16.81/17.09 (assume @p8 @t18) % 16.81/17.09 (assume @p9 (forall @t9 (or @t19 (tptp.member @t3 @t15)))) % 16.81/17.09 (assume @p10 (forall (@list @t1 @t3) (or @t20 (tptp.member @t1 @t15)))) % 16.81/17.09 (assume @p11 (forall @t9 (tptp.member @t15 tptp.universal_class))) % 16.81/17.09 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t21))) % 16.81/17.09 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t21 (tptp.unordered_pair @t3 @t23)) @t22))) % 16.81/17.09 (assume @p14 (forall @t29 (or @t28 @t4))) % 16.81/17.09 (assume @p15 (forall @t29 (or @t28 @t30))) % 16.81/17.09 (assume @p16 (forall (@list @t2 @t3 @t25 @t1) (or @t5 (not @t30) @t27))) % 16.81/17.09 (assume @p17 (forall @t32 (or (not (tptp.member @t31 @t24)) (= (tptp.ordered_pair (tptp.first @t31) (tptp.second @t31)) @t31)))) % 16.81/17.09 (assume @p18 @t34) % 16.81/17.09 (assume @p19 (forall @t9 (or (not @t36) @t35))) % 16.81/17.09 (assume @p20 (forall @t9 (or @t37 (not @t35) @t36))) % 16.81/17.09 (assume @p21 @t42) % 16.81/17.09 (assume @p22 (forall @t32 (or @t41 @t43))) % 16.81/17.09 (assume @p23 (forall @t32 (or @t44 (not @t43) @t40))) % 16.81/17.09 (assume @p24 (forall @t47 (or (not @t46) @t44))) % 16.81/17.09 (assume @p25 (forall @t47 (or @t48 @t46 @t38))) % 16.81/17.09 (assume @p26 (forall @t9 (= @t49 (tptp.union @t3 @t1)))) % 16.81/17.09 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t39) @t49) (tptp.symmetric_difference @t3 @t1)))) % 16.81/17.09 (assume @p28 (forall (@list @t50 @t3 @t1) (= (tptp.intersection @t50 @t24) @t51))) % 16.81/17.09 (assume @p29 (forall (@list @t3 @t1 @t50) (= (tptp.intersection @t24 @t50) @t51))) % 16.81/17.09 (assume @p30 (forall (@list @t3 @t31) (or (not @t54) (not @t53)))) % 16.81/17.09 (assume @p31 (forall @t47 (or @t48 @t54 @t53))) % 16.81/17.09 (assume @p32 (forall @t10 (tptp.subclass @t56 @t55))) % 16.81/17.09 (assume @p33 (forall @t61 (or (not @t60) @t58))) % 16.81/17.09 (assume @p34 (forall (@list @t25 @t57 @t2 @t3) (or (not @t58) @t62 @t60))) % 16.81/17.09 (assume @p35 (forall @t10 (tptp.subclass @t63 @t55))) % 16.81/17.09 (assume @p36 (forall @t61 (or (not @t65) @t64))) % 16.81/17.09 (assume @p37 (forall (@list @t25 @t2 @t57 @t3) (or (not @t64) @t62 @t65))) % 16.81/17.09 (assume @p38 (forall @t66 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 16.81/17.09 (assume @p39 (forall (@list @t31) (= (tptp.domain_of (tptp.inverse @t31)) (tptp.range_of @t31)))) % 16.81/17.09 (assume @p40 (forall @t32 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t31 @t3 @t23) tptp.null_class)) (tptp.domain @t31 @t3 @t1)))) % 16.81/17.09 (assume @p41 (forall @t32 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t31 @t21 @t1) tptp.null_class)) (tptp.range @t31 @t3 @t1)))) % 16.81/17.09 (assume @p42 (forall (@list @t50 @t3) (= (tptp.range_of (tptp.restrict @t50 @t3 tptp.universal_class)) (tptp.image @t50 @t3)))) % 16.81/17.09 (assume @p43 (forall @t10 (= (tptp.union @t3 @t21) @t67))) % 16.81/17.09 (assume @p44 (tptp.subclass tptp.successor_relation @t33)) % 16.81/17.09 (assume @p45 (forall @t9 (or (not @t69) @t68))) % 16.81/17.09 (assume @p46 (forall @t9 (or (not @t68) @t37 @t69))) % 16.81/17.09 (assume @p47 (forall @t10 (or @t72 @t70))) % 16.81/17.09 (assume @p48 (forall @t10 (or @t72 @t73))) % 16.81/17.09 (assume @p49 (forall @t10 (or (not @t70) (not @t73) @t71))) % 16.81/17.09 (assume @p50 (tptp.inductive tptp.omega)) % 16.81/17.09 (assume @p51 (forall @t66 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 16.81/17.09 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 16.81/17.09 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t74))) % 16.81/17.09 (assume @p54 (forall @t10 (or @t19 (tptp.member @t74 tptp.universal_class)))) % 16.81/17.09 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t45)) (tptp.power_class @t3)))) % 16.81/17.09 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 16.81/17.09 (assume @p57 (forall (@list @t75 @t50) (tptp.subclass @t76 @t33))) % 16.81/17.09 (assume @p58 (forall (@list @t1 @t31 @t75 @t50) (or (not @t79) @t77))) % 16.81/17.09 (assume @p59 (forall (@list @t31 @t75 @t50 @t1) (or (not @t77) (not (tptp.member @t78 @t33)) @t79))) % 16.81/17.09 (assume @p60 (forall @t10 (or (not @t81) @t80))) % 16.81/17.09 (assume @p61 (forall @t10 (or (not @t80) @t81))) % 16.81/17.09 (assume @p62 (forall @t86 (or @t85 @t83))) % 16.81/17.09 (assume @p63 (forall @t86 (or @t85 @t88))) % 16.81/17.09 (assume @p64 (forall @t86 (or (not @t83) (not @t88) @t84))) % 16.81/17.09 (assume @p65 (forall (@list @t82 @t3) (or @t85 @t19 (tptp.member (tptp.image @t82 @t3) tptp.universal_class)))) % 16.81/17.09 (assume @p66 (forall @t10 (or @t90 (tptp.member @t89 @t3)))) % 16.81/17.09 (assume @p67 @t93) % 16.81/17.09 (assume @p68 (forall (@list @t82 @t1) (= (tptp.sum_class (tptp.image @t82 @t23)) (tptp.apply @t82 @t1)))) % 16.81/17.09 (assume @p69 (tptp.function tptp.choice)) % 16.81/17.09 (assume @p70 (forall @t66 (or @t20 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 16.81/17.09 (assume @p71 (forall @t86 (or @t95 @t84))) % 16.81/17.09 (assume @p72 (forall @t86 (or @t95 @t96))) % 16.81/17.09 (assume @p73 (forall @t86 (or (not @t96) @t85 @t94))) % 16.81/17.09 (assume @p74 (= (tptp.intersection @t33 (tptp.intersection @t33 (tptp.complement (tptp.compose @t98 @t97)))) tptp.subset_relation)) % 16.81/17.09 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 16.81/17.09 (assume @p76 (forall (@list @t50) (= (tptp.complement (tptp.domain_of (tptp.intersection @t50 tptp.identity_relation))) (tptp.diagonalise @t50)))) % 16.81/17.09 (assume @p77 (forall @t10 (= (tptp.intersection @t52 (tptp.diagonalise (tptp.compose @t97 @t3))) (tptp.cantor @t3)))) % 16.81/17.09 (assume @p78 (forall @t86 (or @t100 @t84))) % 16.81/17.09 (assume @p79 (forall @t86 (or @t100 @t103))) % 16.81/17.09 (assume @p80 (forall @t86 (or @t100 @t104))) % 16.81/17.09 (assume @p81 (forall @t86 (or @t85 (not @t103) (not @t104) @t99))) % 16.81/17.09 (assume @p82 (forall @t111 (or @t110 @t106))) % 16.81/17.09 (assume @p83 (forall @t111 (or @t110 @t113))) % 16.81/17.09 (assume @p84 (forall @t111 (or @t110 @t114))) % 16.81/17.09 (assume @p85 (forall @t111 (or (not @t106) (not @t113) (not @t114) @t109))) % 16.81/17.09 (assume @p86 (forall @t111 (or @t117 @t115))) % 16.81/17.09 (assume @p87 (forall @t111 (or @t117 @t118))) % 16.81/17.09 (assume @p88 (forall @t111 (or @t117 @t109))) % 16.81/17.09 (assume @p89 (forall (@list @t105 @t108 @t107 @t3 @t1) (or @t117 (not (tptp.member @t22 @t112)) (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t3) (tptp.apply @t105 @t1))) (tptp.apply @t105 (tptp.apply @t108 @t22)))))) % 16.81/17.09 (assume @p90 (forall @t124 (or @t123 @t122 @t110 (tptp.member @t121 @t112) @t116))) % 16.81/17.09 (assume @p91 (forall @t124 (or @t123 @t122 @t110 (not (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t120) (tptp.apply @t105 @t119))) (tptp.apply @t105 (tptp.apply @t108 @t121)))) @t116))) % 16.81/17.09 (assume @p92 @t125) % 16.81/17.09 (step @p93 :rule eq-symm :args (@t2 @t1)) % 16.81/17.09 (step @p94 :rule eq-symm :args (@t2 @t3)) % 16.81/17.09 (step @p95 :rule refl :args (@t16)) % 16.81/17.09 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t17)) % 16.81/17.09 (step @p97 :rule cong :premises (@p96) :args (@t18)) % 16.81/17.09 (step @p98 :rule eq_resolve :premises (@p8 @p97)) % 16.81/17.09 (step @p99 :rule instantiate :premises (@p98) :args ((@list tptp.z tptp.universal_class tptp.universal_class))) % 16.81/17.09 (step @p100 :rule bool-double-not-elim :args (@t127)) % 16.81/17.09 (step @p101 :rule refl :args (@t129)) % 16.81/17.09 (step @p102 :rule refl :args (@t130)) % 16.81/17.09 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t130 @t129 (not @t131)))) % 16.81/17.09 (assume-push @p681 @t125) % 16.81/17.09 (assume-push @p682 @t128) % 16.81/17.09 (assume-push @p683 @t131) % 16.81/17.09 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.09 (step @p108 :rule true_intro :premises (@p92)) % 16.81/17.09 (step @p109 :rule symm :premises (@p682)) % 16.81/17.09 (step @p110 :rule refl :args (tptp.z)) % 16.81/17.09 (step @p111 :rule cong :premises (@p110 @p109) :args (@t127)) % 16.81/17.09 (step @p112 :rule false_intro :premises (@p683)) % 16.81/17.09 (step @p113 :rule symm :premises (@p112)) % 16.81/17.09 (step @p114 :rule trans :premises (@p113 @p111 @p108)) % 16.81/17.09 (step @p115 false :rule eq_resolve :premises (@p114 @p107)) % 16.81/17.09 (step-pop @p684 :rule scope :premises (@p115)) % 16.81/17.09 (step-pop @p685 :rule scope :premises (@p684)) % 16.81/17.09 (step-pop @p686 :rule scope :premises (@p685)) % 16.81/17.09 (step @p116 :rule process_scope :premises (@p686) :args (false)) % 16.81/17.09 (step @p120 :rule not_and :premises (@p116)) % 16.81/17.09 (step @p121 :rule eq_resolve :premises (@p120 @p103)) % 16.81/17.09 (step @p122 :rule instantiate :premises (@p21) :args ((@list tptp.z @t126 @t133))) % 16.81/17.09 (step @p123 :rule cnf_or_pos :args (@t137)) % 16.81/17.09 (step @p124 :rule reordering :premises (@p123) :args ((or @t127 @t136 (not @t137)))) % 16.81/17.09 (step @p125 :rule eq-symm :args (@t91 tptp.null_class)) % 16.81/17.09 (step @p126 :rule refl :args (@t90)) % 16.81/17.09 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t92)) % 16.81/17.09 (step @p128 :rule cong :premises (@p127) :args (@t93)) % 16.81/17.09 (step @p129 :rule eq_resolve :premises (@p67 @p128)) % 16.81/17.09 (step @p130 :rule refl :args (@t138)) % 16.81/17.09 (step @p131 :rule eq-symm :args (@t126 tptp.null_class)) % 16.81/17.09 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t139)) % 16.81/17.09 (step @p133 :rule refl :args (@t140)) % 16.81/17.09 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t140 @t139))) % 16.81/17.09 (assume-push @p687 @t140) % 16.81/17.09 (step @p136 :rule instantiate :premises (@p129) :args ((@list @t126))) % 16.81/17.09 (step-pop @p688 :rule scope :premises (@p136)) % 16.81/17.09 (step @p137 :rule process_scope :premises (@p688) :args (@t139)) % 16.81/17.09 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 16.81/17.09 (step @p140 :rule implies_elim :premises (@p139)) % 16.81/17.09 (step @p141 :rule chain_m_resolution :premises (@p140 @p129) :args (@t141 @t142 @t143)) % 16.81/17.09 (step @p142 :rule cnf_or_pos :args (@t141)) % 16.81/17.09 (step @p143 :rule reordering :premises (@p142) :args ((or @t128 @t138 (not @t141)))) % 16.81/17.09 (step @p144 :rule bool-double-not-elim :args (@t135)) % 16.81/17.09 (step @p145 :rule refl :args (@t144)) % 16.81/17.09 (step @p146 :rule nary_cong :premises (@p102 @p145 @p144) :args ((or @t130 @t144 (not @t136)))) % 16.81/17.09 (assume-push @p689 @t125) % 16.81/17.09 (assume-push @p690 @t138) % 16.81/17.09 (assume-push @p691 @t136) % 16.81/17.09 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.09 (step @p108 :rule true_intro :premises (@p92)) % 16.81/17.09 (step @p150 :rule symm :premises (@p690)) % 16.81/17.09 (step @p110 :rule refl :args (tptp.z)) % 16.81/17.09 (step @p151 :rule cong :premises (@p110 @p150) :args (@t135)) % 16.81/17.09 (step @p152 :rule false_intro :premises (@p691)) % 16.81/17.09 (step @p153 :rule symm :premises (@p152)) % 16.81/17.09 (step @p154 :rule trans :premises (@p153 @p151 @p108)) % 16.81/17.09 (step @p155 false :rule eq_resolve :premises (@p154 @p107)) % 16.81/17.09 (step-pop @p692 :rule scope :premises (@p155)) % 16.81/17.09 (step-pop @p693 :rule scope :premises (@p692)) % 16.81/17.09 (step-pop @p694 :rule scope :premises (@p693)) % 16.81/17.09 (step @p156 :rule process_scope :premises (@p694) :args (false)) % 16.81/17.09 (step @p160 :rule not_and :premises (@p156)) % 16.81/17.09 (step @p161 :rule eq_resolve :premises (@p160 @p146)) % 16.81/17.09 (step @p162 :rule chain_m_resolution :premises (@p161 @p92 @p143 @p141 @p124 @p122 @p121 @p92) :args (@t127 (@list false false false true false true false) (@list @t125 @t138 @t141 @t135 @t137 @t128 @t125))) % 16.81/17.09 (step @p163 :rule cnf_or_pos :args (@t146)) % 16.81/17.09 (step @p164 :rule factoring :premises (@p163)) % 16.81/17.09 (step @p165 :rule reordering :premises (@p164) :args ((or @t131 @t145 (not @t146)))) % 16.81/17.09 (step @p166 :rule chain_m_resolution :premises (@p165 @p162 @p99) :args (@t145 @t147 (@list @t127 @t146))) % 16.81/17.09 (step @p167 :rule instantiate :premises (@p1) :args ((@list tptp.null_class tptp.universal_class tptp.universal_class))) % 16.81/17.09 (assume-push @p695 @t125) % 16.81/17.09 (assume-push @p696 @t145) % 16.81/17.09 (assume-push @p697 @t125) % 16.81/17.09 (assume-push @p698 @t145) % 16.81/17.09 (step @p108 :rule true_intro :premises (@p92)) % 16.81/17.09 (step @p172 :rule refl :args (tptp.null_class)) % 16.81/17.09 (step @p173 :rule cong :premises (@p696 @p172) :args (@t148)) % 16.81/17.09 (step @p174 :rule trans :premises (@p173 @p108)) % 16.81/17.09 (step @p175 :rule true_elim :premises (@p174)) % 16.81/17.09 (step-pop @p699 :rule scope :premises (@p175)) % 16.81/17.09 (step-pop @p700 :rule scope :premises (@p699)) % 16.81/17.09 (step @p176 :rule process_scope :premises (@p700) :args (@t148)) % 16.81/17.09 (step @p179 :rule and_intro :premises (@p92 @p696)) % 16.81/17.09 (step @p180 :rule modus_ponens :premises (@p179 @p176)) % 16.81/17.09 (step-pop @p701 :rule scope :premises (@p180)) % 16.81/17.09 (step-pop @p702 :rule scope :premises (@p701)) % 16.81/17.09 (step @p181 :rule process_scope :premises (@p702) :args (@t148)) % 16.81/17.09 (step @p184 :rule implies_elim :premises (@p181)) % 16.81/17.09 (step @p185 :rule cnf_and_neg :args (@t149)) % 16.81/17.09 (step @p186 :rule resolution :premises (@p185 @p184) :args (true @t149)) % 16.81/17.09 (step @p187 :rule reordering :premises (@p186) :args ((or @t130 @t148 @t150))) % 16.81/17.09 (step @p188 :rule chain_m_resolution :premises (@p187 @p92 @p166) :args (@t148 @t147 (@list @t125 @t145))) % 16.81/17.09 (step @p189 :rule instantiate :premises (@p4) :args ((@list tptp.null_class))) % 16.81/17.09 (step @p190 :rule cnf_or_pos :args (@t155)) % 16.81/17.09 (step @p191 :rule reordering :premises (@p190) :args ((or @t151 @t154 @t152 (not @t155)))) % 16.81/17.09 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188 @p167) :args (@t151 @t156 (@list @t153 @t148 @t155))) % 16.81/17.09 (step @p193 :rule instantiate :premises (@p129) :args ((@list tptp.universal_class))) % 16.81/17.09 (step @p194 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t98 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@t202) @t192))) % 16.81/17.10 (assume-push @p787 @t199) % 16.81/17.10 (assume-push @p788 @t194) % 16.81/17.10 (assume-push @p789 @t190) % 16.81/17.10 (assume-push @p790 @t202) % 16.81/17.10 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.10 (step @p412 :rule true_intro :premises (@p787)) % 16.81/17.10 (step @p413 :rule symm :premises (@p788)) % 16.81/17.10 (step @p414 :rule trans :premises (@p789 @p413)) % 16.81/17.10 (step @p415 :rule refl :args (@t198)) % 16.81/17.10 (step @p416 :rule cong :premises (@p415 @p414) :args (@t201)) % 16.81/17.10 (step @p417 :rule false_intro :premises (@p790)) % 16.81/17.10 (step @p418 :rule symm :premises (@p417)) % 16.81/17.10 (step @p419 :rule trans :premises (@p418 @p416 @p412)) % 16.81/17.10 (step @p420 false :rule eq_resolve :premises (@p419 @p107)) % 16.81/17.10 (step-pop @p791 :rule scope :premises (@p420)) % 16.81/17.10 (step-pop @p792 :rule scope :premises (@p791)) % 16.81/17.10 (step-pop @p793 :rule scope :premises (@p792)) % 16.81/17.10 (step-pop @p794 :rule scope :premises (@p793)) % 16.81/17.10 (step @p421 :rule process_scope :premises (@p794) :args (false)) % 16.81/17.10 (assume-push @p795 @t194) % 16.81/17.10 (assume-push @p796 @t199) % 16.81/17.10 (assume-push @p797 @t202) % 16.81/17.10 (assume-push @p798 @t190) % 16.81/17.10 (step @p430 :rule and_intro :premises (@p796 @p795 @p798 @p797)) % 16.81/17.10 (step-pop @p799 :rule scope :premises (@p430)) % 16.81/17.10 (step-pop @p800 :rule scope :premises (@p799)) % 16.81/17.10 (step-pop @p801 :rule scope :premises (@p800)) % 16.81/17.10 (step-pop @p802 :rule scope :premises (@p801)) % 16.81/17.10 (step @p431 :rule process_scope :premises (@p802) :args (@t209)) % 16.81/17.10 (step @p436 :rule implies_elim :premises (@p431)) % 16.81/17.10 (step @p437 :rule resolution :premises (@p436 @p421) :args (true @t209)) % 16.81/17.10 (step @p438 :rule not_and :premises (@p437)) % 16.81/17.10 (step @p439 :rule eq_resolve :premises (@p438 @p407)) % 16.81/17.10 (step @p440 :rule reordering :premises (@p439) :args ((or @t208 @t201 @t207 @t192))) % 16.81/17.10 (step @p441 :rule bool-double-not-elim :args (@t204)) % 16.81/17.10 (step @p442 :rule nary_cong :premises (@p406 @p405 @p302 @p441) :args ((or @t208 @t207 @t187 (not @t205)))) % 16.81/17.10 (assume-push @p803 @t199) % 16.81/17.10 (assume-push @p804 @t194) % 16.81/17.10 (assume-push @p805 @t186) % 16.81/17.10 (assume-push @p806 @t205) % 16.81/17.10 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.10 (step @p447 :rule true_intro :premises (@p803)) % 16.81/17.10 (step @p448 :rule symm :premises (@p804)) % 16.81/17.10 (step @p449 :rule symm :premises (@p805)) % 16.81/17.10 (step @p450 :rule trans :premises (@p449 @p448)) % 16.81/17.10 (step @p415 :rule refl :args (@t198)) % 16.81/17.10 (step @p451 :rule cong :premises (@p415 @p450) :args (@t204)) % 16.81/17.10 (step @p452 :rule false_intro :premises (@p806)) % 16.81/17.10 (step @p453 :rule symm :premises (@p452)) % 16.81/17.10 (step @p454 :rule trans :premises (@p453 @p451 @p447)) % 16.81/17.10 (step @p455 false :rule eq_resolve :premises (@p454 @p107)) % 16.81/17.10 (step-pop @p807 :rule scope :premises (@p455)) % 16.81/17.10 (step-pop @p808 :rule scope :premises (@p807)) % 16.81/17.10 (step-pop @p809 :rule scope :premises (@p808)) % 16.81/17.10 (step-pop @p810 :rule scope :premises (@p809)) % 16.81/17.10 (step @p456 :rule process_scope :premises (@p810) :args (false)) % 16.81/17.10 (assume-push @p811 @t194) % 16.81/17.10 (assume-push @p812 @t199) % 16.81/17.10 (assume-push @p813 @t186) % 16.81/17.10 (assume-push @p814 @t205) % 16.81/17.10 (step @p465 :rule and_intro :premises (@p812 @p811 @p813 @p814)) % 16.81/17.10 (step-pop @p815 :rule scope :premises (@p465)) % 16.81/17.10 (step-pop @p816 :rule scope :premises (@p815)) % 16.81/17.10 (step-pop @p817 :rule scope :premises (@p816)) % 16.81/17.10 (step-pop @p818 :rule scope :premises (@p817)) % 16.81/17.10 (step @p466 :rule process_scope :premises (@p818) :args (@t210)) % 16.81/17.10 (step @p471 :rule implies_elim :premises (@p466)) % 16.81/17.10 (step @p472 :rule resolution :premises (@p471 @p456) :args (true @t210)) % 16.81/17.10 (step @p473 :rule not_and :premises (@p472)) % 16.81/17.10 (step @p474 :rule eq_resolve :premises (@p473 @p442)) % 16.81/17.10 (step @p475 :rule chain_m_resolution :premises (@p474 @p344 @p342 @p440 @p403 @p401 @p21) :args ((or @t208 @t201 @t207) (@list false false true true false false) (@list @t186 @t191 @t190 @t204 @t206 @t42))) % 16.81/17.10 (step @p476 :rule chain_m_resolution :premises (@p475 @p388 @p396 @p394 @p393 @p391) :args (@t197 (@list false true false false false) (@list @t194 @t201 @t203 @t199 @t200))) % 16.81/17.10 (step @p477 :rule cnf_or_pos :args (@t215)) % 16.81/17.10 (step @p478 :rule reordering :premises (@p477) :args ((or @t214 @t213 @t211 (not @t215)))) % 16.81/17.10 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p390 @p389) :args (@t211 @t156 (@list @t197 @t212 @t215))) % 16.81/17.10 (step @p480 :rule eq-symm :args (@t33 tptp.element_relation)) % 16.81/17.10 (step @p481 :rule refl :args (@t216)) % 16.81/17.10 (step @p482 :rule refl :args (@t218)) % 16.81/17.10 (step @p483 :rule nary_cong :premises (@p482 @p481 @p480) :args (@t219)) % 16.81/17.10 (step @p484 :rule refl :args (@t14)) % 16.81/17.10 (step @p485 :rule cong :premises (@p484 @p483) :args ((=> @t14 @t219))) % 16.81/17.10 (assume-push @p819 @t14) % 16.81/17.10 (step @p487 :rule instantiate :premises (@p7) :args ((@list @t33 tptp.element_relation))) % 16.81/17.10 (step-pop @p820 :rule scope :premises (@p487)) % 16.81/17.10 (step @p488 :rule process_scope :premises (@p820) :args (@t219)) % 16.81/17.10 (step @p490 :rule eq_resolve :premises (@p488 @p485)) % 16.81/17.10 (step @p491 :rule implies_elim :premises (@p490)) % 16.81/17.10 (step @p492 :rule chain_m_resolution :premises (@p491 @p7) :args (@t221 @t142 (@list @t14))) % 16.81/17.10 (step @p493 :rule instantiate :premises (@p4) :args ((@list @t33))) % 16.81/17.10 (assume-push @p821 @t211) % 16.81/17.10 (assume-push @p822 @t222) % 16.81/17.10 (assume-push @p823 @t222) % 16.81/17.10 (assume-push @p824 @t211) % 16.81/17.10 (step @p498 :rule true_intro :premises (@p493)) % 16.81/17.10 (step @p499 :rule symm :premises (@p821)) % 16.81/17.10 (step @p500 :rule refl :args (@t33)) % 16.81/17.10 (step @p501 :rule cong :premises (@p500 @p499) :args (@t217)) % 16.81/17.10 (step @p502 :rule trans :premises (@p501 @p498)) % 16.81/17.10 (step @p503 :rule true_elim :premises (@p502)) % 16.81/17.10 (step-pop @p825 :rule scope :premises (@p503)) % 16.81/17.10 (step-pop @p826 :rule scope :premises (@p825)) % 16.81/17.10 (step @p504 :rule process_scope :premises (@p826) :args (@t217)) % 16.81/17.10 (step @p507 :rule and_intro :premises (@p493 @p821)) % 16.81/17.10 (step @p508 :rule modus_ponens :premises (@p507 @p504)) % 16.81/17.10 (step-pop @p827 :rule scope :premises (@p508)) % 16.81/17.10 (step-pop @p828 :rule scope :premises (@p827)) % 16.81/17.10 (step @p509 :rule process_scope :premises (@p828) :args (@t217)) % 16.81/17.10 (step @p512 :rule implies_elim :premises (@p509)) % 16.81/17.10 (step @p513 :rule cnf_and_neg :args (@t223)) % 16.81/17.10 (step @p514 :rule resolution :premises (@p513 @p512) :args (true @t223)) % 16.81/17.10 (step @p515 :rule chain_m_resolution :premises (@p514 @p479 @p493) :args (@t217 @t147 (@list @t211 @t222))) % 16.81/17.10 (step @p516 :rule cnf_or_pos :args (@t221)) % 16.81/17.10 (step @p517 :rule reordering :premises (@p516) :args ((or @t216 @t218 @t220 (not @t221)))) % 16.81/17.10 (step @p518 :rule chain_m_resolution :premises (@p517 @p18 @p515 @p492) :args (@t220 @t156 (@list @t34 @t217 @t221))) % 16.81/17.10 (step @p519 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.universal_class))) % 16.81/17.10 (step @p520 :rule cnf_or_pos :args (@t228)) % 16.81/17.10 (step @p521 :rule reordering :premises (@p520) :args ((or @t224 @t227 (not @t228)))) % 16.81/17.10 (step @p522 :rule chain_m_resolution :premises (@p521 @p192 @p519) :args (@t227 @t147 (@list @t151 @t228))) % 16.81/17.10 (step @p523 :rule refl :args (@t175)) % 16.81/17.10 (step @p524 :rule bool-double-not-elim :args (@t226)) % 16.81/17.10 (step @p525 :rule refl :args (@t229)) % 16.81/17.10 (step @p526 :rule nary_cong :premises (@p525 @p524 @p523) :args ((or @t229 @t230 @t175))) % 16.81/17.10 (assume-push @p829 @t211) % 16.81/17.10 (assume-push @p830 @t227) % 16.81/17.10 (assume-push @p831 @t227) % 16.81/17.10 (assume-push @p832 @t211) % 16.81/17.10 (step @p531 :rule false_intro :premises (@p830)) % 16.81/17.10 (step @p532 :rule symm :premises (@p829)) % 16.81/17.10 (step @p533 :rule cong :premises (@p532) :args (@t98)) % 16.81/17.10 (step @p534 :rule cong :premises (@p532 @p533) :args ((tptp.member tptp.element_relation @t98))) % 16.81/17.10 (step @p535 :rule refl :args (@t98)) % 16.81/17.10 (step @p536 :rule cong :premises (@p829 @p535) :args (@t158)) % 16.81/17.10 (step @p537 :rule trans :premises (@p536 @p534 @p531)) % 16.81/17.10 (step @p538 :rule false_elim :premises (@p537)) % 16.81/17.10 (step-pop @p833 :rule scope :premises (@p538)) % 16.81/17.10 (step-pop @p834 :rule scope :premises (@p833)) % 16.81/17.10 (step @p539 :rule process_scope :premises (@p834) :args (@t175)) % 16.81/17.10 (step @p542 :rule and_intro :premises (@p830 @p829)) % 16.81/17.10 (step @p543 :rule modus_ponens :premises (@p542 @p539)) % 16.81/17.10 (step-pop @p835 :rule scope :premises (@p543)) % 16.81/17.10 (step-pop @p836 :rule scope :premises (@p835)) % 16.81/17.10 (step @p544 :rule process_scope :premises (@p836) :args (@t175)) % 16.81/17.10 (step @p547 :rule implies_elim :premises (@p544)) % 16.81/17.10 (step @p548 :rule cnf_and_neg :args (@t231)) % 16.81/17.10 (step @p549 :rule resolution :premises (@p548 @p547) :args (true @t231)) % 16.81/17.10 (step @p550 :rule eq_resolve :premises (@p549 @p526)) % 16.81/17.10 (step @p551 :rule reordering :premises (@p550) :args ((or @t226 @t229 @t175))) % 16.81/17.10 (step @p552 :rule chain_m_resolution :premises (@p551 @p522 @p479) :args (@t175 @t196 (@list @t226 @t211))) % 16.81/17.10 (step @p553 :rule chain_m_resolution :premises (@p196 @p552 @p194) :args (@t161 @t196 (@list @t158 @t162))) % 16.81/17.10 (step @p554 :rule refl :args (@t232)) % 16.81/17.10 (step @p555 :rule refl :args (@t224)) % 16.81/17.10 (step @p556 :rule nary_cong :premises (@p555 @p525 @p524 @p406 @p554 @p253 @p198) :args ((or @t224 @t229 @t230 @t208 @t232 @t174 @t150))) % 16.81/17.10 (assume-push @p837 @t151) % 16.81/17.10 (assume-push @p838 @t145) % 16.81/17.10 (assume-push @p839 @t194) % 16.81/17.10 (assume-push @p840 @t211) % 16.81/17.10 (assume-push @p841 @t220) % 16.81/17.10 (assume-push @p842 @t172) % 16.81/17.10 (assume-push @p843 @t227) % 16.81/17.10 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.10 (step @p564 :rule true_intro :premises (@p837)) % 16.81/17.10 (step @p565 :rule refl :args (tptp.universal_class)) % 16.81/17.10 (step @p566 :rule symm :premises (@p838)) % 16.81/17.10 (step @p567 :rule cong :premises (@p566 @p565) :args (@t233)) % 16.81/17.10 (step @p568 :rule symm :premises (@p840)) % 16.81/17.10 (step @p569 :rule symm :premises (@p841)) % 16.81/17.10 (step @p570 :rule trans :premises (@p569 @p568)) % 16.81/17.10 (step @p571 :rule symm :premises (@p839)) % 16.81/17.10 (step @p572 :rule trans :premises (@p571 @p838)) % 16.81/17.10 (step @p573 :rule cong :premises (@p572 @p570) :args (@t234)) % 16.81/17.10 (step @p574 :rule symm :premises (@p842)) % 16.81/17.10 (step @p575 :rule cong :premises (@p840) :args (@t225)) % 16.81/17.10 (step @p576 :rule cong :premises (@p570) :args ((tptp.complement @t33))) % 16.81/17.10 (step @p577 :rule cong :premises (@p566 @p565) :args ((tptp.cross_product tptp.z tptp.universal_class))) % 16.81/17.10 (step @p578 :rule cong :premises (@p838 @p570) :args ((tptp.cross_product tptp.universal_class @t33))) % 16.81/17.10 (step @p500 :rule refl :args (@t33)) % 16.81/17.10 (step @p579 :rule cong :premises (@p570 @p500) :args ((tptp.cross_product @t33 @t33))) % 16.81/17.10 (step @p580 :rule symm :premises (@p570)) % 16.81/17.10 (step @p581 :rule cong :premises (@p500 @p580) :args (@t55)) % 16.81/17.10 (step @p582 :rule trans :premises (@p581 @p579 @p578 @p577)) % 16.81/17.10 (step @p583 :rule cong :premises (@p582) :args (@t235)) % 16.81/17.10 (step @p584 :rule trans :premises (@p583 @p576 @p575 @p574 @p571 @p840 @p841)) % 16.81/17.10 (step @p585 :rule trans :premises (@p582 @p570 @p839)) % 16.81/17.10 (step @p586 :rule cong :premises (@p585 @p584) :args ((tptp.member @t55 @t235))) % 16.81/17.10 (step @p587 :rule symm :premises (@p583)) % 16.81/17.10 (step @p588 :rule symm :premises (@p576)) % 16.81/17.10 (step @p589 :rule trans :premises (@p588 @p587)) % 16.81/17.10 (step @p590 :rule symm :premises (@p582)) % 16.81/17.10 (step @p591 :rule trans :premises (@p580 @p590)) % 16.81/17.10 (step @p592 :rule cong :premises (@p591 @p589) :args (@t226)) % 16.81/17.10 (step @p593 :rule false_intro :premises (@p843)) % 16.81/17.10 (step @p594 :rule symm :premises (@p593)) % 16.81/17.10 (step @p595 :rule trans :premises (@p594 @p592 @p586 @p573 @p567 @p564)) % 16.81/17.10 (step @p596 false :rule eq_resolve :premises (@p595 @p107)) % 16.81/17.10 (step-pop @p844 :rule scope :premises (@p596)) % 16.81/17.10 (step-pop @p845 :rule scope :premises (@p844)) % 16.81/17.10 (step-pop @p846 :rule scope :premises (@p845)) % 16.81/17.10 (step-pop @p847 :rule scope :premises (@p846)) % 16.81/17.10 (step-pop @p848 :rule scope :premises (@p847)) % 16.81/17.10 (step-pop @p849 :rule scope :premises (@p848)) % 16.81/17.10 (step-pop @p850 :rule scope :premises (@p849)) % 16.81/17.10 (step @p597 :rule process_scope :premises (@p850) :args (false)) % 16.81/17.10 (assume-push @p851 @t151) % 16.81/17.10 (assume-push @p852 @t211) % 16.81/17.10 (assume-push @p853 @t227) % 16.81/17.10 (assume-push @p854 @t194) % 16.81/17.10 (assume-push @p855 @t220) % 16.81/17.10 (assume-push @p856 @t172) % 16.81/17.10 (assume-push @p857 @t145) % 16.81/17.10 (step @p612 :rule and_intro :premises (@p851 @p857 @p854 @p852 @p855 @p856 @p853)) % 16.81/17.10 (step-pop @p858 :rule scope :premises (@p612)) % 16.81/17.10 (step-pop @p859 :rule scope :premises (@p858)) % 16.81/17.10 (step-pop @p860 :rule scope :premises (@p859)) % 16.81/17.10 (step-pop @p861 :rule scope :premises (@p860)) % 16.81/17.10 (step-pop @p862 :rule scope :premises (@p861)) % 16.81/17.10 (step-pop @p863 :rule scope :premises (@p862)) % 16.81/17.10 (step-pop @p864 :rule scope :premises (@p863)) % 16.81/17.10 (step @p613 :rule process_scope :premises (@p864) :args (@t236)) % 16.81/17.10 (step @p621 :rule implies_elim :premises (@p613)) % 16.81/17.10 (step @p622 :rule resolution :premises (@p621 @p597) :args (true @t236)) % 16.81/17.10 (step @p623 :rule not_and :premises (@p622)) % 16.81/17.10 (step @p624 :rule eq_resolve :premises (@p623 @p556)) % 16.81/17.10 (step @p625 :rule reordering :premises (@p624) :args ((or @t224 @t226 @t229 @t208 @t232 @t174 @t150))) % 16.81/17.10 (step @p626 :rule chain_m_resolution :premises (@p625 @p192 @p522 @p479 @p388 @p518 @p166) :args (@t174 (@list false true false false false false) (@list @t151 @t226 @t211 @t194 @t220 @t145))) % 16.81/17.10 (step @p627 :rule chain_m_resolution :premises (@p252 @p626 @p250) :args (@t163 @t196 (@list @t172 @t173))) % 16.81/17.10 (step @p628 :rule nary_cong :premises (@p555 @p525 @p406 @p554 @p199 @p198 @p197) :args ((or @t224 @t229 @t208 @t232 @t164 @t150 @t168))) % 16.81/17.10 (assume-push @p865 @t151) % 16.81/17.10 (assume-push @p866 @t145) % 16.81/17.10 (assume-push @p867 @t194) % 16.81/17.10 (assume-push @p868 @t211) % 16.81/17.10 (assume-push @p869 @t220) % 16.81/17.10 (assume-push @p870 @t163) % 16.81/17.10 (assume-push @p871 @t161) % 16.81/17.10 (step @p107 :rule evaluate :args (@t132)) % 16.81/17.10 (step @p636 :rule true_intro :premises (@p865)) % 16.81/17.10 (step @p565 :rule refl :args (tptp.universal_class)) % 16.81/17.10 (step @p637 :rule symm :premises (@p866)) % 16.81/17.10 (step @p638 :rule cong :premises (@p637 @p565) :args (@t233)) % 16.81/17.10 (step @p639 :rule symm :premises (@p868)) % 16.81/17.10 (step @p640 :rule symm :premises (@p869)) % 16.81/17.10 (step @p641 :rule trans :premises (@p640 @p639)) % 16.81/17.10 (step @p642 :rule symm :premises (@p867)) % 16.81/17.10 (step @p643 :rule trans :premises (@p642 @p866)) % 16.81/17.10 (step @p644 :rule cong :premises (@p643 @p641) :args (@t234)) % 16.81/17.10 (step @p645 :rule symm :premises (@p870)) % 16.81/17.10 (step @p646 :rule trans :premises (@p645 @p642 @p868 @p869)) % 16.81/17.10 (step @p647 :rule cong :premises (@p867 @p646) :args (@t160)) % 16.81/17.10 (step @p648 :rule false_intro :premises (@p871)) % 16.81/17.10 (step @p649 :rule symm :premises (@p648)) % 16.81/17.10 (step @p650 :rule trans :premises (@p649 @p647 @p644 @p638 @p636)) % 16.81/17.10 (step @p651 false :rule eq_resolve :premises (@p650 @p107)) % 16.81/17.10 (step-pop @p872 :rule scope :premises (@p651)) % 16.81/17.10 (step-pop @p873 :rule scope :premises (@p872)) % 16.81/17.10 (step-pop @p874 :rule scope :premises (@p873)) % 16.81/17.10 (step-pop @p875 :rule scope :premises (@p874)) % 16.81/17.10 (step-pop @p876 :rule scope :premises (@p875)) % 16.81/17.10 (step-pop @p877 :rule scope :premises (@p876)) % 16.81/17.10 (step-pop @p878 :rule scope :premises (@p877)) % 16.81/17.10 (step @p652 :rule process_scope :premises (@p878) :args (false)) % 16.81/17.10 (assume-push @p879 @t151) % 16.81/17.10 (assume-push @p880 @t211) % 16.81/17.10 (assume-push @p881 @t194) % 16.81/17.10 (assume-push @p882 @t220) % 16.81/17.10 (assume-push @p883 @t163) % 16.81/17.10 (assume-push @p884 @t145) % 16.81/17.10 (assume-push @p885 @t161) % 16.81/17.10 (step @p667 :rule and_intro :premises (@p879 @p884 @p881 @p880 @p882 @p883 @p885)) % 16.81/17.10 (step-pop @p886 :rule scope :premises (@p667)) % 16.81/17.10 (step-pop @p887 :rule scope :premises (@p886)) % 16.81/17.10 (step-pop @p888 :rule scope :premises (@p887)) % 16.81/17.10 (step-pop @p889 :rule scope :premises (@p888)) % 16.81/17.10 (step-pop @p890 :rule scope :premises (@p889)) % 16.81/17.10 (step-pop @p891 :rule scope :premises (@p890)) % 16.81/17.10 (step-pop @p892 :rule scope :premises (@p891)) % 16.81/17.10 (step @p668 :rule process_scope :premises (@p892) :args (@t237)) % 16.81/17.10 (step @p676 :rule implies_elim :premises (@p668)) % 16.81/17.10 (step @p677 :rule resolution :premises (@p676 @p652) :args (true @t237)) % 16.81/17.10 (step @p678 :rule not_and :premises (@p677)) % 16.81/17.10 (step @p679 :rule eq_resolve :premises (@p678 @p628)) % 16.81/17.10 (step @p680 false :rule chain_m_resolution :premises (@p679 @p627 @p553 @p518 @p479 @p388 @p192 @p166) :args (false (@list false true false false false false false) (@list @t163 @t160 @t220 @t211 @t194 @t151 @t145))) % 16.81/17.10 ) % 16.81/17.10 % SZS output end Proof % 16.81/17.10 % cvc5 exiting %------------------------------------------------------------------------------