%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET506-6 : 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 : n027.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 08:47:59 AM UTC 2026 % Result : Unsatisfiable 16.03s 16.25s % Output : Proof 16.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET506-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 15:54:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 16.03/16.25 % SZS status Unsatisfiable % 16.03/16.25 % SZS output start Proof % 16.03/16.26 ( % 16.03/16.26 (declare-sort $$unsorted 0) % 16.03/16.26 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.application_function $$unsorted) % 16.03/16.26 (declare-const tptp.singleton_relation $$unsorted) % 16.03/16.26 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.operation (-> $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.function (-> $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.element_relation $$unsorted) % 16.03/16.26 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.universal_class $$unsorted) % 16.03/16.26 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.successor_relation $$unsorted) % 16.03/16.26 (declare-const tptp.choice $$unsorted) % 16.03/16.26 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.subset_relation $$unsorted) % 16.03/16.26 (declare-const tptp.null_class $$unsorted) % 16.03/16.26 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.omega $$unsorted) % 16.03/16.26 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.03/16.26 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.composition_function $$unsorted) % 16.03/16.26 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.identity_relation $$unsorted) % 16.03/16.26 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.domain_relation $$unsorted) % 16.03/16.26 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 16.03/16.26 (declare-const tptp.inductive (-> $$unsorted Bool)) % 16.03/16.26 (define @t1 () (@var "Y" $$unsorted)) % 16.03/16.26 (define @t2 () (@var "U" $$unsorted)) % 16.03/16.26 (define @t3 () (@var "X" $$unsorted)) % 16.03/16.26 (define @t4 () (tptp.member @t2 @t3)) % 16.03/16.26 (define @t5 () (not @t4)) % 16.03/16.26 (define @t6 () (tptp.subclass @t3 @t1)) % 16.03/16.26 (define @t7 () (not @t6)) % 16.03/16.26 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 16.03/16.26 (define @t9 () (@list @t3 @t1)) % 16.03/16.26 (define @t10 () (tptp.subclass @t3 tptp.universal_class)) % 16.03/16.26 (define @t11 () (@list @t3)) % 16.03/16.26 (define @t12 () (forall @t11 @t10)) % 16.03/16.26 (define @t13 () (= @t3 @t1)) % 16.03/16.26 (define @t14 () (not @t13)) % 16.03/16.26 (define @t15 () (or @t14 @t6)) % 16.03/16.26 (define @t16 () (forall @t9 @t15)) % 16.03/16.26 (define @t17 () (tptp.subclass @t1 @t3)) % 16.03/16.26 (define @t18 () (tptp.unordered_pair @t3 @t1)) % 16.03/16.26 (define @t19 () (not (tptp.member @t3 tptp.universal_class))) % 16.03/16.26 (define @t20 () (not (tptp.member @t1 tptp.universal_class))) % 16.03/16.26 (define @t21 () (@list @t1 @t3)) % 16.03/16.26 (define @t22 () (tptp.member @t18 tptp.universal_class)) % 16.03/16.26 (define @t23 () (forall @t9 @t22)) % 16.03/16.26 (define @t24 () (tptp.singleton @t3)) % 16.03/16.26 (define @t25 () (tptp.ordered_pair @t3 @t1)) % 16.03/16.26 (define @t26 () (tptp.singleton @t1)) % 16.03/16.26 (define @t27 () (forall @t9 (= (tptp.unordered_pair @t24 (tptp.unordered_pair @t3 @t26)) @t25))) % 16.03/16.26 (define @t28 () (tptp.cross_product @t3 @t1)) % 16.03/16.26 (define @t29 () (@var "V" $$unsorted)) % 16.03/16.26 (define @t30 () (tptp.ordered_pair @t2 @t29)) % 16.03/16.26 (define @t31 () (tptp.member @t30 @t28)) % 16.03/16.26 (define @t32 () (not @t31)) % 16.03/16.26 (define @t33 () (@list @t2 @t29 @t3 @t1)) % 16.03/16.26 (define @t34 () (tptp.member @t29 @t1)) % 16.03/16.26 (define @t35 () (@var "Z" $$unsorted)) % 16.03/16.26 (define @t36 () (@list @t35 @t3 @t1)) % 16.03/16.26 (define @t37 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 16.03/16.26 (define @t38 () (tptp.member @t3 @t1)) % 16.03/16.26 (define @t39 () (tptp.member @t25 tptp.element_relation)) % 16.03/16.26 (define @t40 () (not (tptp.member @t25 @t37))) % 16.03/16.26 (define @t41 () (tptp.member @t35 @t3)) % 16.03/16.26 (define @t42 () (tptp.intersection @t3 @t1)) % 16.03/16.26 (define @t43 () (tptp.member @t35 @t42)) % 16.03/16.26 (define @t44 () (not @t43)) % 16.03/16.26 (define @t45 () (tptp.member @t35 @t1)) % 16.03/16.26 (define @t46 () (not @t41)) % 16.03/16.26 (define @t47 () (tptp.complement @t3)) % 16.03/16.26 (define @t48 () (tptp.member @t35 @t47)) % 16.03/16.26 (define @t49 () (@list @t35 @t3)) % 16.03/16.26 (define @t50 () (not (tptp.member @t35 tptp.universal_class))) % 16.03/16.26 (define @t51 () (tptp.complement (tptp.intersection @t47 (tptp.complement @t1)))) % 16.03/16.26 (define @t52 () (@var "Xr" $$unsorted)) % 16.03/16.26 (define @t53 () (tptp.restrict @t52 @t3 @t1)) % 16.03/16.26 (define @t54 () (tptp.domain_of @t3)) % 16.03/16.26 (define @t55 () (tptp.member @t35 @t54)) % 16.03/16.26 (define @t56 () (= (tptp.restrict @t3 (tptp.singleton @t35) tptp.universal_class) tptp.null_class)) % 16.03/16.26 (define @t57 () (tptp.cross_product @t37 tptp.universal_class)) % 16.03/16.26 (define @t58 () (tptp.rotate @t3)) % 16.03/16.26 (define @t59 () (@var "W" $$unsorted)) % 16.03/16.26 (define @t60 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t29 @t59) @t2) @t3)) % 16.03/16.26 (define @t61 () (tptp.ordered_pair @t30 @t59)) % 16.03/16.26 (define @t62 () (tptp.member @t61 @t58)) % 16.03/16.26 (define @t63 () (@list @t2 @t29 @t59 @t3)) % 16.03/16.26 (define @t64 () (not (tptp.member @t61 @t57))) % 16.03/16.26 (define @t65 () (tptp.flip @t3)) % 16.03/16.26 (define @t66 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t29 @t2) @t59) @t3)) % 16.03/16.26 (define @t67 () (tptp.member @t61 @t65)) % 16.03/16.26 (define @t68 () (@list @t1)) % 16.03/16.26 (define @t69 () (tptp.successor @t3)) % 16.03/16.26 (define @t70 () (= @t69 @t1)) % 16.03/16.26 (define @t71 () (tptp.member @t25 tptp.successor_relation)) % 16.03/16.26 (define @t72 () (tptp.member tptp.null_class @t3)) % 16.03/16.26 (define @t73 () (tptp.inductive @t3)) % 16.03/16.26 (define @t74 () (not @t73)) % 16.03/16.26 (define @t75 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 16.03/16.26 (define @t76 () (tptp.sum_class @t3)) % 16.03/16.26 (define @t77 () (@var "Yr" $$unsorted)) % 16.03/16.26 (define @t78 () (tptp.compose @t77 @t52)) % 16.03/16.26 (define @t79 () (tptp.member @t35 (tptp.image @t77 (tptp.image @t52 @t26)))) % 16.03/16.26 (define @t80 () (tptp.ordered_pair @t1 @t35)) % 16.03/16.26 (define @t81 () (tptp.member @t80 @t78)) % 16.03/16.26 (define @t82 () (not (tptp.member @t80 @t37))) % 16.03/16.26 (define @t83 () (tptp.inverse @t3)) % 16.03/16.26 (define @t84 () (tptp.compose @t3 @t83)) % 16.03/16.26 (define @t85 () (tptp.subclass @t84 tptp.identity_relation)) % 16.03/16.26 (define @t86 () (tptp.single_valued_class @t3)) % 16.03/16.26 (define @t87 () (@var "Xf" $$unsorted)) % 16.03/16.26 (define @t88 () (tptp.subclass @t87 @t37)) % 16.03/16.26 (define @t89 () (tptp.function @t87)) % 16.03/16.26 (define @t90 () (not @t89)) % 16.03/16.26 (define @t91 () (@list @t87)) % 16.03/16.26 (define @t92 () (tptp.inverse @t87)) % 16.03/16.26 (define @t93 () (tptp.subclass (tptp.compose @t87 @t92) tptp.identity_relation)) % 16.03/16.26 (define @t94 () (tptp.regular @t3)) % 16.03/16.26 (define @t95 () (= @t3 tptp.null_class)) % 16.03/16.26 (define @t96 () (tptp.intersection @t3 @t94)) % 16.03/16.26 (define @t97 () (or @t95 (= @t96 tptp.null_class))) % 16.03/16.26 (define @t98 () (forall @t11 @t97)) % 16.03/16.26 (define @t99 () (@list @t87 @t1)) % 16.03/16.26 (define @t100 () (tptp.one_to_one @t87)) % 16.03/16.26 (define @t101 () (not @t100)) % 16.03/16.26 (define @t102 () (tptp.function @t92)) % 16.03/16.26 (define @t103 () (tptp.inverse tptp.element_relation)) % 16.03/16.26 (define @t104 () (tptp.compose (tptp.complement tptp.element_relation) @t103)) % 16.03/16.26 (define @t105 () (tptp.complement @t104)) % 16.03/16.26 (define @t106 () (tptp.operation @t87)) % 16.03/16.26 (define @t107 () (not @t106)) % 16.03/16.26 (define @t108 () (tptp.domain_of @t87)) % 16.03/16.26 (define @t109 () (tptp.domain_of @t108)) % 16.03/16.26 (define @t110 () (= (tptp.cross_product @t109 @t109) @t108)) % 16.03/16.26 (define @t111 () (tptp.range_of @t87)) % 16.03/16.26 (define @t112 () (tptp.subclass @t111 @t109)) % 16.03/16.26 (define @t113 () (@var "Xh" $$unsorted)) % 16.03/16.26 (define @t114 () (tptp.function @t113)) % 16.03/16.26 (define @t115 () (@var "Xf2" $$unsorted)) % 16.03/16.26 (define @t116 () (@var "Xf1" $$unsorted)) % 16.03/16.26 (define @t117 () (tptp.compatible @t113 @t116 @t115)) % 16.03/16.26 (define @t118 () (not @t117)) % 16.03/16.26 (define @t119 () (@list @t113 @t116 @t115)) % 16.03/16.26 (define @t120 () (tptp.domain_of @t116)) % 16.03/16.26 (define @t121 () (= (tptp.domain_of @t120) (tptp.domain_of @t113))) % 16.03/16.26 (define @t122 () (tptp.subclass (tptp.range_of @t113) (tptp.domain_of (tptp.domain_of @t115)))) % 16.03/16.26 (define @t123 () (tptp.operation @t116)) % 16.03/16.26 (define @t124 () (tptp.homomorphism @t113 @t116 @t115)) % 16.03/16.26 (define @t125 () (not @t124)) % 16.03/16.26 (define @t126 () (tptp.operation @t115)) % 16.03/16.26 (define @t127 () (tptp.not_homomorphism2 @t113 @t116 @t115)) % 16.03/16.26 (define @t128 () (tptp.not_homomorphism1 @t113 @t116 @t115)) % 16.03/16.26 (define @t129 () (tptp.ordered_pair @t128 @t127)) % 16.03/16.26 (define @t130 () (not @t126)) % 16.03/16.26 (define @t131 () (not @t123)) % 16.03/16.26 (define @t132 () (@list @t116 @t115 @t113)) % 16.03/16.26 (define @t133 () (tptp.compose_class @t3)) % 16.03/16.26 (define @t134 () (tptp.compose @t3 @t1)) % 16.03/16.26 (define @t135 () (= @t134 @t35)) % 16.03/16.26 (define @t136 () (tptp.member @t80 @t133)) % 16.03/16.26 (define @t137 () (@list @t1 @t35 @t3)) % 16.03/16.26 (define @t138 () (tptp.cross_product tptp.universal_class @t37)) % 16.03/16.26 (define @t139 () (tptp.ordered_pair @t3 @t80)) % 16.03/16.26 (define @t140 () (@list @t3 @t1 @t35)) % 16.03/16.26 (define @t141 () (tptp.single_valued1 @t3)) % 16.03/16.26 (define @t142 () (tptp.not_subclass_element @t84 tptp.identity_relation)) % 16.03/16.26 (define @t143 () (tptp.single_valued2 @t3)) % 16.03/16.26 (define @t144 () (tptp.member @t1 @t54)) % 16.03/16.26 (define @t145 () (not (tptp.member @t139 tptp.application_function))) % 16.03/16.26 (define @t146 () (tptp.apply @t3 @t1)) % 16.03/16.26 (define @t147 () (not (tptp.maps @t87 @t3 @t1))) % 16.03/16.26 (define @t148 () (@list @t87 @t3 @t1)) % 16.03/16.26 (define @t149 () (tptp.subclass @t111 @t1)) % 16.03/16.26 (define @t150 () (@list @t104 @t104)) % 16.03/16.26 (define @t151 () (tptp.singleton @t104)) % 16.03/16.26 (define @t152 () (tptp.unordered_pair @t104 @t151)) % 16.03/16.26 (define @t153 () (tptp.unordered_pair @t151 @t152)) % 16.03/16.26 (define @t154 () (tptp.ordered_pair @t104 @t104)) % 16.03/16.26 (define @t155 () (= @t153 @t154)) % 16.03/16.26 (define @t156 () (= @t154 @t153)) % 16.03/16.26 (define @t157 () (@list false)) % 16.03/16.26 (define @t158 () (tptp.subclass @t1 @t1)) % 16.03/16.26 (define @t159 () (not (= @t1 @t1))) % 16.03/16.26 (define @t160 () (or @t159 @t158)) % 16.03/16.26 (define @t161 () (or @t14 @t14 @t6)) % 16.03/16.26 (define @t162 () (forall @t11 @t15)) % 16.03/16.26 (define @t163 () (forall @t68 @t162)) % 16.03/16.26 (define @t164 () (forall @t21 @t15)) % 16.03/16.26 (define @t165 () (@list tptp.element_relation)) % 16.03/16.26 (define @t166 () (= tptp.element_relation tptp.null_class)) % 16.03/16.26 (define @t167 () (not @t166)) % 16.03/16.26 (define @t168 () (tptp.subclass tptp.null_class tptp.element_relation)) % 16.03/16.26 (define @t169 () (tptp.subclass tptp.element_relation tptp.element_relation)) % 16.03/16.26 (define @t170 () (not @t169)) % 16.03/16.26 (define @t171 () (not @t168)) % 16.03/16.26 (define @t172 () (= false true)) % 16.03/16.26 (define @t173 () (and @t169 @t166 @t171)) % 16.03/16.26 (define @t174 () (@list tptp.null_class tptp.element_relation)) % 16.03/16.26 (define @t175 () (tptp.not_subclass_element tptp.null_class tptp.element_relation)) % 16.03/16.26 (define @t176 () (tptp.member @t175 tptp.null_class)) % 16.03/16.26 (define @t177 () (or @t176 @t168)) % 16.03/16.26 (define @t178 () (tptp.member @t175 tptp.element_relation)) % 16.03/16.26 (define @t179 () (not @t178)) % 16.03/16.26 (define @t180 () (or @t179 @t168)) % 16.03/16.26 (define @t181 () (tptp.regular tptp.element_relation)) % 16.03/16.26 (define @t182 () (tptp.intersection tptp.element_relation @t181)) % 16.03/16.26 (define @t183 () (= tptp.null_class @t182)) % 16.03/16.26 (define @t184 () (or @t166 @t183)) % 16.03/16.26 (define @t185 () (tptp.member @t175 @t182)) % 16.03/16.26 (define @t186 () (not @t185)) % 16.03/16.26 (define @t187 () (or @t186 @t178)) % 16.03/16.26 (define @t188 () (and @t183 @t176)) % 16.03/16.26 (define @t189 () (tptp.subclass tptp.element_relation tptp.null_class)) % 16.03/16.26 (define @t190 () (not @t189)) % 16.03/16.26 (define @t191 () (or @t190 @t171 @t166)) % 16.03/16.26 (define @t192 () (@list false false false)) % 16.03/16.26 (define @t193 () (tptp.member @t153 tptp.null_class)) % 16.03/16.26 (define @t194 () (tptp.member @t154 tptp.element_relation)) % 16.03/16.26 (define @t195 () (and @t166 @t156 @t193)) % 16.03/16.26 (define @t196 () (tptp.member @t104 @t104)) % 16.03/16.27 (define @t197 () (not @t194)) % 16.03/16.27 (define @t198 () (or @t197 @t196)) % 16.03/16.27 (define @t199 () (@list false false)) % 16.03/16.27 (define @t200 () (not @t196)) % 16.03/16.27 (define @t201 () (tptp.member @t104 @t105)) % 16.03/16.27 (define @t202 () (not @t201)) % 16.03/16.27 (define @t203 () (or @t202 @t200)) % 16.03/16.27 (define @t204 () (tptp.member @t104 tptp.null_class)) % 16.03/16.27 (define @t205 () (tptp.subclass @t104 tptp.null_class)) % 16.03/16.27 (define @t206 () (not @t205)) % 16.03/16.27 (define @t207 () (or @t206 @t200 @t204)) % 16.03/16.27 (define @t208 () (tptp.regular @t105)) % 16.03/16.27 (define @t209 () (tptp.intersection @t105 @t208)) % 16.03/16.27 (define @t210 () (= tptp.null_class @t209)) % 16.03/16.27 (define @t211 () (or (= @t105 tptp.null_class) @t210)) % 16.03/16.27 (define @t212 () (forall @t11 (or @t95 (= tptp.null_class @t96)))) % 16.03/16.27 (define @t213 () (= tptp.null_class @t105)) % 16.03/16.27 (define @t214 () (or @t213 @t210)) % 16.03/16.27 (define @t215 () (tptp.member @t104 @t209)) % 16.03/16.27 (define @t216 () (not @t215)) % 16.03/16.27 (define @t217 () (or @t216 @t201)) % 16.03/16.27 (define @t218 () (@list true false)) % 16.03/16.27 (define @t219 () (not @t210)) % 16.03/16.27 (define @t220 () (not @t204)) % 16.03/16.27 (define @t221 () (not @t213)) % 16.03/16.27 (define @t222 () (and @t204 @t213 @t202)) % 16.03/16.27 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 16.03/16.27 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 16.03/16.27 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 16.03/16.27 (assume @p4 @t12) % 16.03/16.27 (assume @p5 @t16) % 16.03/16.27 (assume @p6 (forall @t9 (or @t14 @t17))) % 16.03/16.27 (assume @p7 (forall @t9 (or @t7 (not @t17) @t13))) % 16.03/16.27 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t18)) (= @t2 @t3) (= @t2 @t1)))) % 16.03/16.27 (assume @p9 (forall @t9 (or @t19 (tptp.member @t3 @t18)))) % 16.03/16.27 (assume @p10 (forall @t21 (or @t20 (tptp.member @t1 @t18)))) % 16.03/16.27 (assume @p11 @t23) % 16.03/16.27 (assume @p12 (forall @t11 (= (tptp.unordered_pair @t3 @t3) @t24))) % 16.03/16.27 (assume @p13 @t27) % 16.03/16.27 (assume @p14 (forall @t33 (or @t32 @t4))) % 16.03/16.27 (assume @p15 (forall @t33 (or @t32 @t34))) % 16.03/16.27 (assume @p16 (forall (@list @t2 @t3 @t29 @t1) (or @t5 (not @t34) @t31))) % 16.03/16.27 (assume @p17 (forall @t36 (or (not (tptp.member @t35 @t28)) (= (tptp.ordered_pair (tptp.first @t35) (tptp.second @t35)) @t35)))) % 16.03/16.27 (assume @p18 (tptp.subclass tptp.element_relation @t37)) % 16.03/16.27 (assume @p19 (forall @t9 (or (not @t39) @t38))) % 16.03/16.27 (assume @p20 (forall @t9 (or @t40 (not @t38) @t39))) % 16.03/16.27 (assume @p21 (forall @t36 (or @t44 @t41))) % 16.03/16.27 (assume @p22 (forall @t36 (or @t44 @t45))) % 16.03/16.27 (assume @p23 (forall @t36 (or @t46 (not @t45) @t43))) % 16.03/16.27 (assume @p24 (forall @t49 (or (not @t48) @t46))) % 16.03/16.27 (assume @p25 (forall @t49 (or @t50 @t48 @t41))) % 16.03/16.27 (assume @p26 (forall @t9 (= @t51 (tptp.union @t3 @t1)))) % 16.03/16.27 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t42) @t51) (tptp.symmetric_difference @t3 @t1)))) % 16.03/16.27 (assume @p28 (forall (@list @t52 @t3 @t1) (= (tptp.intersection @t52 @t28) @t53))) % 16.03/16.27 (assume @p29 (forall (@list @t3 @t1 @t52) (= (tptp.intersection @t28 @t52) @t53))) % 16.03/16.27 (assume @p30 (forall (@list @t3 @t35) (or (not @t56) (not @t55)))) % 16.03/16.27 (assume @p31 (forall @t49 (or @t50 @t56 @t55))) % 16.03/16.27 (assume @p32 (forall @t11 (tptp.subclass @t58 @t57))) % 16.03/16.27 (assume @p33 (forall @t63 (or (not @t62) @t60))) % 16.03/16.27 (assume @p34 (forall (@list @t29 @t59 @t2 @t3) (or (not @t60) @t64 @t62))) % 16.03/16.27 (assume @p35 (forall @t11 (tptp.subclass @t65 @t57))) % 16.03/16.27 (assume @p36 (forall @t63 (or (not @t67) @t66))) % 16.03/16.27 (assume @p37 (forall (@list @t29 @t2 @t59 @t3) (or (not @t66) @t64 @t67))) % 16.03/16.27 (assume @p38 (forall @t68 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 16.03/16.27 (assume @p39 (forall (@list @t35) (= (tptp.domain_of (tptp.inverse @t35)) (tptp.range_of @t35)))) % 16.03/16.27 (assume @p40 (forall @t36 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t35 @t3 @t26) tptp.null_class)) (tptp.domain @t35 @t3 @t1)))) % 16.03/16.27 (assume @p41 (forall @t36 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t35 @t24 @t1) tptp.null_class)) (tptp.range @t35 @t3 @t1)))) % 16.03/16.27 (assume @p42 (forall (@list @t52 @t3) (= (tptp.range_of (tptp.restrict @t52 @t3 tptp.universal_class)) (tptp.image @t52 @t3)))) % 16.03/16.27 (assume @p43 (forall @t11 (= (tptp.union @t3 @t24) @t69))) % 16.03/16.27 (assume @p44 (tptp.subclass tptp.successor_relation @t37)) % 16.03/16.27 (assume @p45 (forall @t9 (or (not @t71) @t70))) % 16.03/16.27 (assume @p46 (forall @t9 (or (not @t70) @t40 @t71))) % 16.03/16.27 (assume @p47 (forall @t11 (or @t74 @t72))) % 16.03/16.27 (assume @p48 (forall @t11 (or @t74 @t75))) % 16.03/16.27 (assume @p49 (forall @t11 (or (not @t72) (not @t75) @t73))) % 16.03/16.27 (assume @p50 (tptp.inductive tptp.omega)) % 16.03/16.27 (assume @p51 (forall @t68 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 16.03/16.27 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 16.03/16.27 (assume @p53 (forall @t11 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t76))) % 16.03/16.27 (assume @p54 (forall @t11 (or @t19 (tptp.member @t76 tptp.universal_class)))) % 16.03/16.27 (assume @p55 (forall @t11 (= (tptp.complement (tptp.image tptp.element_relation @t47)) (tptp.power_class @t3)))) % 16.03/16.27 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 16.03/16.27 (assume @p57 (forall (@list @t77 @t52) (tptp.subclass @t78 @t37))) % 16.03/16.27 (assume @p58 (forall (@list @t1 @t35 @t77 @t52) (or (not @t81) @t79))) % 16.03/16.27 (assume @p59 (forall (@list @t35 @t77 @t52 @t1) (or (not @t79) @t82 @t81))) % 16.03/16.27 (assume @p60 (forall @t11 (or (not @t86) @t85))) % 16.03/16.27 (assume @p61 (forall @t11 (or (not @t85) @t86))) % 16.03/16.27 (assume @p62 (forall @t91 (or @t90 @t88))) % 16.03/16.27 (assume @p63 (forall @t91 (or @t90 @t93))) % 16.03/16.27 (assume @p64 (forall @t91 (or (not @t88) (not @t93) @t89))) % 16.03/16.27 (assume @p65 (forall (@list @t87 @t3) (or @t90 @t19 (tptp.member (tptp.image @t87 @t3) tptp.universal_class)))) % 16.03/16.27 (assume @p66 (forall @t11 (or @t95 (tptp.member @t94 @t3)))) % 16.03/16.27 (assume @p67 @t98) % 16.03/16.27 (assume @p68 (forall @t99 (= (tptp.sum_class (tptp.image @t87 @t26)) (tptp.apply @t87 @t1)))) % 16.03/16.27 (assume @p69 (tptp.function tptp.choice)) % 16.03/16.27 (assume @p70 (forall @t68 (or @t20 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 16.03/16.27 (assume @p71 (forall @t91 (or @t101 @t89))) % 16.03/16.27 (assume @p72 (forall @t91 (or @t101 @t102))) % 16.03/16.27 (assume @p73 (forall @t91 (or (not @t102) @t90 @t100))) % 16.03/16.27 (assume @p74 (= (tptp.intersection @t37 (tptp.intersection @t37 @t105)) tptp.subset_relation)) % 16.03/16.27 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 16.03/16.27 (assume @p76 (forall (@list @t52) (= (tptp.complement (tptp.domain_of (tptp.intersection @t52 tptp.identity_relation))) (tptp.diagonalise @t52)))) % 16.03/16.27 (assume @p77 (forall @t11 (= (tptp.intersection @t54 (tptp.diagonalise (tptp.compose @t103 @t3))) (tptp.cantor @t3)))) % 16.03/16.27 (assume @p78 (forall @t91 (or @t107 @t89))) % 16.03/16.27 (assume @p79 (forall @t91 (or @t107 @t110))) % 16.03/16.27 (assume @p80 (forall @t91 (or @t107 @t112))) % 16.03/16.27 (assume @p81 (forall @t91 (or @t90 (not @t110) (not @t112) @t106))) % 16.03/16.27 (assume @p82 (forall @t119 (or @t118 @t114))) % 16.03/16.27 (assume @p83 (forall @t119 (or @t118 @t121))) % 16.03/16.27 (assume @p84 (forall @t119 (or @t118 @t122))) % 16.03/16.27 (assume @p85 (forall @t119 (or (not @t114) (not @t121) (not @t122) @t117))) % 16.03/16.27 (assume @p86 (forall @t119 (or @t125 @t123))) % 16.03/16.27 (assume @p87 (forall @t119 (or @t125 @t126))) % 16.03/16.27 (assume @p88 (forall @t119 (or @t125 @t117))) % 16.03/16.27 (assume @p89 (forall (@list @t113 @t116 @t115 @t3 @t1) (or @t125 (not (tptp.member @t25 @t120)) (= (tptp.apply @t115 (tptp.ordered_pair (tptp.apply @t113 @t3) (tptp.apply @t113 @t1))) (tptp.apply @t113 (tptp.apply @t116 @t25)))))) % 16.03/16.27 (assume @p90 (forall @t132 (or @t131 @t130 @t118 (tptp.member @t129 @t120) @t124))) % 16.03/16.27 (assume @p91 (forall @t132 (or @t131 @t130 @t118 (not (= (tptp.apply @t115 (tptp.ordered_pair (tptp.apply @t113 @t128) (tptp.apply @t113 @t127))) (tptp.apply @t113 (tptp.apply @t116 @t129)))) @t124))) % 16.03/16.27 (assume @p92 (forall @t11 (tptp.subclass @t133 @t37))) % 16.03/16.27 (assume @p93 (forall @t137 (or (not @t136) @t135))) % 16.03/16.27 (assume @p94 (forall @t137 (or @t82 (not @t135) @t136))) % 16.03/16.27 (assume @p95 (tptp.subclass tptp.composition_function @t138)) % 16.03/16.27 (assume @p96 (forall @t140 (or (not (tptp.member @t139 tptp.composition_function)) @t135))) % 16.03/16.27 (assume @p97 (forall @t9 (or @t40 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t134)) tptp.composition_function)))) % 16.03/16.27 (assume @p98 (tptp.subclass tptp.domain_relation @t37)) % 16.03/16.27 (assume @p99 (forall @t9 (or (not (tptp.member @t25 tptp.domain_relation)) (= @t54 @t1)))) % 16.03/16.27 (assume @p100 (forall @t11 (or @t19 (tptp.member (tptp.ordered_pair @t3 @t54) tptp.domain_relation)))) % 16.03/16.27 (assume @p101 (forall @t11 (= (tptp.first @t142) @t141))) % 16.03/16.27 (assume @p102 (forall @t11 (= (tptp.second @t142) @t143))) % 16.03/16.27 (assume @p103 (forall @t11 (= (tptp.domain @t3 (tptp.image @t83 (tptp.singleton @t141)) @t143) (tptp.single_valued3 @t3)))) % 16.03/16.27 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 16.03/16.27 (assume @p105 (tptp.subclass tptp.application_function @t138)) % 16.03/16.27 (assume @p106 (forall @t140 (or @t145 @t144))) % 16.03/16.27 (assume @p107 (forall @t140 (or @t145 (= @t146 @t35)))) % 16.03/16.27 (assume @p108 (forall @t140 (or (not (tptp.member @t139 @t138)) (not @t144) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t146)) tptp.application_function)))) % 16.03/16.27 (assume @p109 (forall @t148 (or @t147 @t89))) % 16.03/16.27 (assume @p110 (forall @t148 (or @t147 (= @t108 @t3)))) % 16.03/16.27 (assume @p111 (forall @t148 (or @t147 @t149))) % 16.03/16.27 (assume @p112 (forall @t99 (or @t90 (not @t149) (tptp.maps @t87 @t108 @t1)))) % 16.03/16.27 (assume @p113 (= tptp.universal_class tptp.null_class)) % 16.03/16.27 (step @p114 :rule instantiate :premises (@p24) :args (@t150)) % 16.03/16.27 (step @p115 :rule instantiate :premises (@p19) :args (@t150)) % 16.03/16.27 (step @p116 :rule refl :args (@t18)) % 16.03/16.27 (step @p117 :rule cong :premises (@p116 @p113) :args (@t22)) % 16.03/16.27 (step @p118 :rule cong :premises (@p117) :args (@t23)) % 16.03/16.27 (step @p119 :rule eq_resolve :premises (@p11 @p118)) % 16.03/16.27 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t151 @t152))) % 16.03/16.27 (step @p121 :rule eq-symm :args (@t153 @t154)) % 16.03/16.27 (step @p122 :rule refl :args (@t27)) % 16.03/16.27 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t27 @t155))) % 16.03/16.27 (assume-push @p339 @t27) % 16.03/16.27 (step @p125 :rule instantiate :premises (@p13) :args (@t150)) % 16.03/16.27 (step-pop @p340 :rule scope :premises (@p125)) % 16.03/16.27 (step @p126 :rule process_scope :premises (@p340) :args (@t155)) % 16.03/16.27 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 16.03/16.27 (step @p129 :rule implies_elim :premises (@p128)) % 16.03/16.27 (step @p130 :rule chain_m_resolution :premises (@p129 @p13) :args (@t156 @t157 (@list @t27))) % 16.03/16.27 (step @p131 :rule instantiate :premises (@p7) :args ((@list tptp.element_relation tptp.null_class))) % 16.03/16.27 (step @p132 :rule aci_norm :args ((= (or false @t158) @t158))) % 16.03/16.27 (step @p133 :rule refl :args (@t158)) % 16.03/16.27 (step @p134 :rule evaluate :args ((not true))) % 16.03/16.27 (step @p135 :rule eq-refl :args (@t1)) % 16.03/16.27 (step @p136 :rule cong :premises (@p135) :args (@t159)) % 16.03/16.27 (step @p137 :rule trans :premises (@p136 @p134)) % 16.03/16.27 (step @p138 :rule nary_cong :premises (@p137 @p133) :args (@t160)) % 16.03/16.27 (step @p139 :rule trans :premises (@p138 @p132)) % 16.03/16.27 (step @p140 :rule cong :premises (@p139) :args ((forall @t68 @t160))) % 16.03/16.27 (step @p141 :rule quant-var-elim-eq :args ((= (forall @t11 @t161) @t160))) % 16.03/16.27 (step @p142 :rule aci_norm :args ((= @t15 @t161))) % 16.03/16.27 (step @p143 :rule cong :premises (@p142) :args (@t162)) % 16.03/16.27 (step @p144 :rule trans :premises (@p143 @p141)) % 16.03/16.27 (step @p145 :rule cong :premises (@p144) :args (@t163)) % 16.03/16.27 (step @p146 :rule quant-merge-prenex :args ((= @t163 @t164))) % 16.03/16.27 (step @p147 :rule symm :premises (@p146)) % 16.03/16.27 (step @p148 :rule quant_var_reordering :args ((= @t16 @t164))) % 16.03/16.27 (step @p149 :rule trans :premises (@p148 @p147 @p145)) % 16.03/16.27 (step @p150 :rule trans :premises (@p149 @p140)) % 16.03/16.27 (step @p151 :rule eq_resolve :premises (@p5 @p150)) % 16.03/16.27 (step @p152 :rule instantiate :premises (@p151) :args (@t165)) % 16.03/16.27 (step @p153 :rule refl :args (@t167)) % 16.03/16.27 (step @p154 :rule bool-double-not-elim :args (@t168)) % 16.03/16.27 (step @p155 :rule refl :args (@t170)) % 16.03/16.27 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153) :args ((or @t170 (not @t171) @t167))) % 16.03/16.27 (assume-push @p341 @t169) % 16.03/16.27 (assume-push @p342 @t166) % 16.03/16.27 (assume-push @p343 @t171) % 16.03/16.27 (step @p160 :rule evaluate :args (@t172)) % 16.03/16.27 (step @p161 :rule true_intro :premises (@p152)) % 16.03/16.27 (step @p162 :rule refl :args (tptp.element_relation)) % 16.03/16.27 (step @p163 :rule symm :premises (@p342)) % 16.03/16.27 (step @p164 :rule cong :premises (@p163 @p162) :args (@t168)) % 16.03/16.27 (step @p165 :rule false_intro :premises (@p343)) % 16.03/16.27 (step @p166 :rule symm :premises (@p165)) % 16.03/16.27 (step @p167 :rule trans :premises (@p166 @p164 @p161)) % 16.03/16.27 (step @p168 false :rule eq_resolve :premises (@p167 @p160)) % 16.03/16.27 (step-pop @p344 :rule scope :premises (@p168)) % 16.03/16.27 (step-pop @p345 :rule scope :premises (@p344)) % 16.03/16.27 (step-pop @p346 :rule scope :premises (@p345)) % 16.03/16.27 (step @p169 :rule process_scope :premises (@p346) :args (false)) % 16.03/16.27 (assume-push @p347 @t169) % 16.03/16.27 (assume-push @p348 @t171) % 16.03/16.27 (assume-push @p349 @t166) % 16.03/16.27 (step @p176 :rule and_intro :premises (@p152 @p349 @p348)) % 16.03/16.27 (step-pop @p350 :rule scope :premises (@p176)) % 16.03/16.27 (step-pop @p351 :rule scope :premises (@p350)) % 16.03/16.27 (step-pop @p352 :rule scope :premises (@p351)) % 16.03/16.27 (step @p177 :rule process_scope :premises (@p352) :args (@t173)) % 16.03/16.27 (step @p181 :rule implies_elim :premises (@p177)) % 16.03/16.27 (step @p182 :rule resolution :premises (@p181 @p169) :args (true @t173)) % 16.03/16.27 (step @p183 :rule not_and :premises (@p182)) % 16.03/16.27 (step @p184 :rule eq_resolve :premises (@p183 @p156)) % 16.03/16.27 (step @p185 :rule instantiate :premises (@p2) :args (@t174)) % 16.03/16.27 (step @p186 :rule cnf_or_pos :args (@t177)) % 16.03/16.27 (step @p187 :rule reordering :premises (@p186) :args ((or @t168 @t176 (not @t177)))) % 16.03/16.27 (step @p188 :rule instantiate :premises (@p3) :args (@t174)) % 16.03/16.27 (step @p189 :rule cnf_or_pos :args (@t180)) % 16.03/16.27 (step @p190 :rule reordering :premises (@p189) :args ((or @t168 @t179 (not @t180)))) % 16.03/16.27 (step @p191 :rule eq-symm :args (@t96 tptp.null_class)) % 16.03/16.27 (step @p192 :rule refl :args (@t95)) % 16.03/16.27 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t97)) % 16.03/16.27 (step @p194 :rule cong :premises (@p193) :args (@t98)) % 16.03/16.27 (step @p195 :rule eq_resolve :premises (@p67 @p194)) % 16.03/16.27 (step @p196 :rule instantiate :premises (@p195) :args (@t165)) % 16.03/16.27 (step @p197 :rule cnf_or_pos :args (@t184)) % 16.03/16.27 (step @p198 :rule reordering :premises (@p197) :args ((or @t166 @t183 (not @t184)))) % 16.03/16.27 (step @p199 :rule instantiate :premises (@p21) :args ((@list @t175 tptp.element_relation @t181))) % 16.03/16.27 (step @p200 :rule cnf_or_pos :args (@t187)) % 16.03/16.27 (step @p201 :rule reordering :premises (@p200) :args ((or @t178 @t186 (not @t187)))) % 16.03/16.27 (assume-push @p353 @t183) % 16.03/16.27 (assume-push @p354 @t176) % 16.03/16.27 (assume-push @p355 @t176) % 16.03/16.27 (assume-push @p356 @t183) % 16.03/16.27 (step @p206 :rule true_intro :premises (@p354)) % 16.03/16.27 (step @p207 :rule symm :premises (@p353)) % 16.03/16.27 (step @p208 :rule refl :args (@t175)) % 16.03/16.27 (step @p209 :rule cong :premises (@p208 @p207) :args (@t185)) % 16.03/16.27 (step @p210 :rule trans :premises (@p209 @p206)) % 16.03/16.27 (step @p211 :rule true_elim :premises (@p210)) % 16.03/16.27 (step-pop @p357 :rule scope :premises (@p211)) % 16.03/16.27 (step-pop @p358 :rule scope :premises (@p357)) % 16.03/16.27 (step @p212 :rule process_scope :premises (@p358) :args (@t185)) % 16.03/16.27 (step @p215 :rule and_intro :premises (@p354 @p353)) % 16.03/16.27 (step @p216 :rule modus_ponens :premises (@p215 @p212)) % 16.03/16.27 (step-pop @p359 :rule scope :premises (@p216)) % 16.03/16.27 (step-pop @p360 :rule scope :premises (@p359)) % 16.03/16.27 (step @p217 :rule process_scope :premises (@p360) :args (@t185)) % 16.03/16.27 (step @p220 :rule implies_elim :premises (@p217)) % 16.03/16.27 (step @p221 :rule cnf_and_neg :args (@t188)) % 16.03/16.27 (step @p222 :rule resolution :premises (@p221 @p220) :args (true @t188)) % 16.03/16.27 (step @p223 :rule chain_m_resolution :premises (@p222 @p201 @p199 @p198 @p196 @p190 @p188 @p187 @p185 @p184 @p152) :args (@t168 (@list true false false false true false false false true false) (@list @t185 @t187 @t183 @t184 @t178 @t180 @t176 @t177 @t166 @t169))) % 16.03/16.27 (step @p224 :rule refl :args (@t3)) % 16.03/16.27 (step @p225 :rule cong :premises (@p224 @p113) :args (@t10)) % 16.03/16.27 (step @p226 :rule cong :premises (@p225) :args (@t12)) % 16.03/16.27 (step @p227 :rule eq_resolve :premises (@p4 @p226)) % 16.03/16.27 (step @p228 :rule instantiate :premises (@p227) :args (@t165)) % 16.03/16.27 (step @p229 :rule cnf_or_pos :args (@t191)) % 16.03/16.27 (step @p230 :rule reordering :premises (@p229) :args ((or @t190 @t171 @t166 (not @t191)))) % 16.03/16.27 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p223 @p131) :args (@t166 @t192 (@list @t189 @t168 @t191))) % 16.03/16.27 (assume-push @p361 @t166) % 16.03/16.27 (assume-push @p362 @t156) % 16.03/16.27 (assume-push @p363 @t193) % 16.03/16.27 (assume-push @p364 @t193) % 16.03/16.27 (assume-push @p365 @t156) % 16.03/16.27 (assume-push @p366 @t166) % 16.03/16.27 (step @p238 :rule true_intro :premises (@p120)) % 16.03/16.27 (step @p239 :rule cong :premises (@p130 @p361) :args (@t194)) % 16.03/16.27 (step @p240 :rule trans :premises (@p239 @p238)) % 16.03/16.27 (step @p241 :rule true_elim :premises (@p240)) % 16.03/16.27 (step-pop @p367 :rule scope :premises (@p241)) % 16.03/16.27 (step-pop @p368 :rule scope :premises (@p367)) % 16.03/16.27 (step-pop @p369 :rule scope :premises (@p368)) % 16.03/16.27 (step @p242 :rule process_scope :premises (@p369) :args (@t194)) % 16.03/16.27 (step @p246 :rule and_intro :premises (@p120 @p130 @p361)) % 16.03/16.27 (step @p247 :rule modus_ponens :premises (@p246 @p242)) % 16.03/16.27 (step-pop @p370 :rule scope :premises (@p247)) % 16.03/16.27 (step-pop @p371 :rule scope :premises (@p370)) % 16.03/16.27 (step-pop @p372 :rule scope :premises (@p371)) % 16.03/16.27 (step @p248 :rule process_scope :premises (@p372) :args (@t194)) % 16.03/16.27 (step @p252 :rule implies_elim :premises (@p248)) % 16.03/16.27 (step @p253 :rule cnf_and_neg :args (@t195)) % 16.03/16.27 (step @p254 :rule resolution :premises (@p253 @p252) :args (true @t195)) % 16.03/16.27 (step @p255 :rule reordering :premises (@p254) :args ((or @t167 @t194 (not @t156) (not @t193)))) % 16.03/16.27 (step @p256 :rule chain_m_resolution :premises (@p255 @p231 @p130 @p120) :args (@t194 @t192 (@list @t166 @t156 @t193))) % 16.03/16.27 (step @p257 :rule cnf_or_pos :args (@t198)) % 16.03/16.27 (step @p258 :rule reordering :premises (@p257) :args ((or @t196 @t197 (not @t198)))) % 16.03/16.27 (step @p259 :rule chain_m_resolution :premises (@p258 @p256 @p115) :args (@t196 @t199 (@list @t194 @t198))) % 16.03/16.27 (step @p260 :rule cnf_or_pos :args (@t203)) % 16.03/16.27 (step @p261 :rule reordering :premises (@p260) :args ((or @t200 @t202 (not @t203)))) % 16.03/16.27 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p114) :args (@t202 @t199 (@list @t196 @t203))) % 16.03/16.27 (step @p263 :rule instantiate :premises (@p1) :args ((@list @t104 tptp.null_class @t104))) % 16.03/16.27 (step @p264 :rule instantiate :premises (@p227) :args ((@list @t104))) % 16.03/16.27 (step @p265 :rule cnf_or_pos :args (@t207)) % 16.03/16.27 (step @p266 :rule reordering :premises (@p265) :args ((or @t204 @t206 @t200 (not @t207)))) % 16.03/16.27 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p259 @p263) :args (@t204 @t192 (@list @t205 @t196 @t207))) % 16.03/16.27 (step @p268 :rule refl :args (@t210)) % 16.03/16.27 (step @p269 :rule eq-symm :args (@t105 tptp.null_class)) % 16.03/16.27 (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t211)) % 16.03/16.27 (step @p271 :rule refl :args (@t212)) % 16.03/16.27 (step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t212 @t211))) % 16.03/16.27 (assume-push @p373 @t212) % 16.03/16.27 (step @p274 :rule instantiate :premises (@p195) :args ((@list @t105))) % 16.03/16.27 (step-pop @p374 :rule scope :premises (@p274)) % 16.03/16.27 (step @p275 :rule process_scope :premises (@p374) :args (@t211)) % 16.03/16.27 (step @p277 :rule eq_resolve :premises (@p275 @p272)) % 16.03/16.27 (step @p278 :rule implies_elim :premises (@p277)) % 16.03/16.27 (step @p279 :rule chain_m_resolution :premises (@p278 @p195) :args (@t214 @t157 (@list @t212))) % 16.03/16.27 (step @p280 :rule instantiate :premises (@p21) :args ((@list @t104 @t105 @t208))) % 16.03/16.27 (step @p281 :rule cnf_or_pos :args (@t217)) % 16.03/16.27 (step @p282 :rule reordering :premises (@p281) :args ((or @t201 @t216 (not @t217)))) % 16.03/16.27 (step @p283 :rule chain_m_resolution :premises (@p282 @p262 @p280) :args (@t216 @t218 (@list @t201 @t217))) % 16.03/16.27 (step @p284 :rule bool-double-not-elim :args (@t215)) % 16.03/16.27 (step @p285 :rule refl :args (@t219)) % 16.03/16.27 (step @p286 :rule refl :args (@t220)) % 16.03/16.27 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args ((or @t220 @t219 (not @t216)))) % 16.03/16.27 (assume-push @p375 @t204) % 16.03/16.27 (assume-push @p376 @t210) % 16.03/16.27 (assume-push @p377 @t216) % 16.03/16.27 (step @p160 :rule evaluate :args (@t172)) % 16.03/16.27 (step @p291 :rule true_intro :premises (@p375)) % 16.03/16.27 (step @p292 :rule symm :premises (@p376)) % 16.03/16.27 (step @p293 :rule refl :args (@t104)) % 16.03/16.27 (step @p294 :rule cong :premises (@p293 @p292) :args (@t215)) % 16.03/16.27 (step @p295 :rule false_intro :premises (@p377)) % 16.03/16.27 (step @p296 :rule symm :premises (@p295)) % 16.03/16.27 (step @p297 :rule trans :premises (@p296 @p294 @p291)) % 16.03/16.27 (step @p298 false :rule eq_resolve :premises (@p297 @p160)) % 16.03/16.27 (step-pop @p378 :rule scope :premises (@p298)) % 16.03/16.27 (step-pop @p379 :rule scope :premises (@p378)) % 16.03/16.27 (step-pop @p380 :rule scope :premises (@p379)) % 16.03/16.27 (step @p299 :rule process_scope :premises (@p380) :args (false)) % 16.03/16.27 (step @p303 :rule not_and :premises (@p299)) % 16.03/16.27 (step @p304 :rule eq_resolve :premises (@p303 @p287)) % 16.03/16.27 (step @p305 :rule chain_m_resolution :premises (@p304 @p267 @p283) :args (@t219 (@list false true) (@list @t204 @t215))) % 16.03/16.27 (step @p306 :rule cnf_or_pos :args (@t214)) % 16.03/16.27 (step @p307 :rule reordering :premises (@p306) :args ((or @t213 @t210 (not @t214)))) % 16.03/16.27 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p279) :args (@t213 @t218 (@list @t210 @t214))) % 16.03/16.27 (step @p309 :rule refl :args (@t221)) % 16.03/16.27 (step @p310 :rule bool-double-not-elim :args (@t201)) % 16.03/16.27 (step @p311 :rule nary_cong :premises (@p286 @p310 @p309) :args ((or @t220 (not @t202) @t221))) % 16.03/16.27 (assume-push @p381 @t204) % 16.03/16.27 (assume-push @p382 @t213) % 16.03/16.27 (assume-push @p383 @t202) % 16.03/16.27 (step @p160 :rule evaluate :args (@t172)) % 16.03/16.27 (step @p315 :rule true_intro :premises (@p381)) % 16.03/16.27 (step @p316 :rule symm :premises (@p382)) % 16.03/16.27 (step @p293 :rule refl :args (@t104)) % 16.03/16.27 (step @p317 :rule cong :premises (@p293 @p316) :args (@t201)) % 16.03/16.27 (step @p318 :rule false_intro :premises (@p383)) % 16.03/16.27 (step @p319 :rule symm :premises (@p318)) % 16.03/16.27 (step @p320 :rule trans :premises (@p319 @p317 @p315)) % 16.03/16.27 (step @p321 false :rule eq_resolve :premises (@p320 @p160)) % 16.03/16.27 (step-pop @p384 :rule scope :premises (@p321)) % 16.03/16.27 (step-pop @p385 :rule scope :premises (@p384)) % 16.03/16.27 (step-pop @p386 :rule scope :premises (@p385)) % 16.03/16.27 (step @p322 :rule process_scope :premises (@p386) :args (false)) % 16.03/16.27 (assume-push @p387 @t204) % 16.03/16.27 (assume-push @p388 @t202) % 16.03/16.27 (assume-push @p389 @t213) % 16.03/16.27 (step @p329 :rule and_intro :premises (@p387 @p389 @p388)) % 16.03/16.27 (step-pop @p390 :rule scope :premises (@p329)) % 16.03/16.27 (step-pop @p391 :rule scope :premises (@p390)) % 16.03/16.27 (step-pop @p392 :rule scope :premises (@p391)) % 16.03/16.27 (step @p330 :rule process_scope :premises (@p392) :args (@t222)) % 16.03/16.27 (step @p334 :rule implies_elim :premises (@p330)) % 16.03/16.27 (step @p335 :rule resolution :premises (@p334 @p322) :args (true @t222)) % 16.03/16.27 (step @p336 :rule not_and :premises (@p335)) % 16.03/16.27 (step @p337 :rule eq_resolve :premises (@p336 @p311)) % 16.03/16.27 (step @p338 false :rule chain_m_resolution :premises (@p337 @p308 @p267 @p262) :args (false (@list false false true) (@list @t213 @t204 @t201))) % 16.03/16.27 ) % 16.03/16.27 % SZS output end Proof % 16.03/16.27 % cvc5 exiting %------------------------------------------------------------------------------