%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET511-6 : 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 : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:48:00 AM UTC 2026 % Result : Unsatisfiable 19.23s 19.44s % Output : Proof 19.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET511-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 15:54:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.84 --- Run --no-e-matching --full-saturate-quant at 6... % 19.23/19.44 % SZS status Unsatisfiable % 19.23/19.44 % SZS output start Proof % 19.23/19.45 ( % 19.23/19.45 (declare-sort $$unsorted 0) % 19.23/19.45 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.application_function $$unsorted) % 19.23/19.45 (declare-const tptp.singleton_relation $$unsorted) % 19.23/19.45 (declare-const tptp.x $$unsorted) % 19.23/19.45 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.operation (-> $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.function (-> $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.element_relation $$unsorted) % 19.23/19.45 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.universal_class $$unsorted) % 19.23/19.45 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.successor_relation $$unsorted) % 19.23/19.45 (declare-const tptp.choice $$unsorted) % 19.23/19.45 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.subset_relation $$unsorted) % 19.23/19.45 (declare-const tptp.null_class $$unsorted) % 19.23/19.45 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.omega $$unsorted) % 19.23/19.45 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.23/19.45 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.composition_function $$unsorted) % 19.23/19.45 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.identity_relation $$unsorted) % 19.23/19.45 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.domain_relation $$unsorted) % 19.23/19.45 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 19.23/19.45 (declare-const tptp.inductive (-> $$unsorted Bool)) % 19.23/19.45 (define @t1 () (@var "Y" $$unsorted)) % 19.23/19.45 (define @t2 () (@var "U" $$unsorted)) % 19.23/19.45 (define @t3 () (@var "X" $$unsorted)) % 19.23/19.45 (define @t4 () (tptp.member @t2 @t3)) % 19.23/19.45 (define @t5 () (not @t4)) % 19.23/19.45 (define @t6 () (tptp.subclass @t3 @t1)) % 19.23/19.45 (define @t7 () (not @t6)) % 19.23/19.45 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 19.23/19.45 (define @t9 () (@list @t3 @t1)) % 19.23/19.45 (define @t10 () (@list @t3)) % 19.23/19.45 (define @t11 () (= @t3 @t1)) % 19.23/19.45 (define @t12 () (not @t11)) % 19.23/19.45 (define @t13 () (tptp.subclass @t1 @t3)) % 19.23/19.45 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 19.23/19.45 (define @t15 () (not (tptp.member @t2 @t14))) % 19.23/19.45 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 19.23/19.45 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 19.23/19.45 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 19.23/19.45 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 19.23/19.45 (define @t20 () (tptp.singleton @t3)) % 19.23/19.45 (define @t21 () (tptp.ordered_pair @t3 @t1)) % 19.23/19.45 (define @t22 () (tptp.singleton @t1)) % 19.23/19.45 (define @t23 () (forall @t9 (= (tptp.unordered_pair @t20 (tptp.unordered_pair @t3 @t22)) @t21))) % 19.23/19.45 (define @t24 () (tptp.cross_product @t3 @t1)) % 19.23/19.45 (define @t25 () (@var "V" $$unsorted)) % 19.23/19.45 (define @t26 () (tptp.ordered_pair @t2 @t25)) % 19.23/19.45 (define @t27 () (tptp.member @t26 @t24)) % 19.23/19.45 (define @t28 () (not @t27)) % 19.23/19.45 (define @t29 () (@list @t2 @t25 @t3 @t1)) % 19.23/19.45 (define @t30 () (tptp.member @t25 @t1)) % 19.23/19.45 (define @t31 () (@var "Z" $$unsorted)) % 19.23/19.45 (define @t32 () (@list @t31 @t3 @t1)) % 19.23/19.45 (define @t33 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 19.23/19.45 (define @t34 () (tptp.member @t3 @t1)) % 19.23/19.45 (define @t35 () (tptp.member @t21 tptp.element_relation)) % 19.23/19.45 (define @t36 () (not (tptp.member @t21 @t33))) % 19.23/19.45 (define @t37 () (tptp.member @t31 @t3)) % 19.23/19.45 (define @t38 () (tptp.intersection @t3 @t1)) % 19.23/19.45 (define @t39 () (tptp.member @t31 @t38)) % 19.23/19.45 (define @t40 () (not @t39)) % 19.23/19.45 (define @t41 () (tptp.member @t31 @t1)) % 19.23/19.45 (define @t42 () (not @t37)) % 19.23/19.45 (define @t43 () (tptp.complement @t3)) % 19.23/19.45 (define @t44 () (tptp.member @t31 @t43)) % 19.23/19.45 (define @t45 () (@list @t31 @t3)) % 19.23/19.45 (define @t46 () (not (tptp.member @t31 tptp.universal_class))) % 19.23/19.45 (define @t47 () (tptp.complement (tptp.intersection @t43 (tptp.complement @t1)))) % 19.23/19.45 (define @t48 () (@var "Xr" $$unsorted)) % 19.23/19.45 (define @t49 () (tptp.restrict @t48 @t3 @t1)) % 19.23/19.45 (define @t50 () (tptp.domain_of @t3)) % 19.23/19.45 (define @t51 () (tptp.member @t31 @t50)) % 19.23/19.45 (define @t52 () (= (tptp.restrict @t3 (tptp.singleton @t31) tptp.universal_class) tptp.null_class)) % 19.23/19.45 (define @t53 () (tptp.cross_product @t33 tptp.universal_class)) % 19.23/19.45 (define @t54 () (tptp.rotate @t3)) % 19.23/19.45 (define @t55 () (@var "W" $$unsorted)) % 19.23/19.45 (define @t56 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t55) @t2) @t3)) % 19.23/19.45 (define @t57 () (tptp.ordered_pair @t26 @t55)) % 19.23/19.45 (define @t58 () (tptp.member @t57 @t54)) % 19.23/19.45 (define @t59 () (@list @t2 @t25 @t55 @t3)) % 19.23/19.45 (define @t60 () (not (tptp.member @t57 @t53))) % 19.23/19.45 (define @t61 () (tptp.flip @t3)) % 19.23/19.45 (define @t62 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t2) @t55) @t3)) % 19.23/19.45 (define @t63 () (tptp.member @t57 @t61)) % 19.23/19.45 (define @t64 () (@list @t1)) % 19.23/19.45 (define @t65 () (tptp.successor @t3)) % 19.23/19.45 (define @t66 () (= @t65 @t1)) % 19.23/19.45 (define @t67 () (tptp.member @t21 tptp.successor_relation)) % 19.23/19.45 (define @t68 () (tptp.member tptp.null_class @t3)) % 19.23/19.45 (define @t69 () (tptp.inductive @t3)) % 19.23/19.45 (define @t70 () (not @t69)) % 19.23/19.45 (define @t71 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 19.23/19.45 (define @t72 () (tptp.sum_class @t3)) % 19.23/19.45 (define @t73 () (@var "Yr" $$unsorted)) % 19.23/19.45 (define @t74 () (tptp.compose @t73 @t48)) % 19.23/19.45 (define @t75 () (tptp.member @t31 (tptp.image @t73 (tptp.image @t48 @t22)))) % 19.23/19.45 (define @t76 () (tptp.ordered_pair @t1 @t31)) % 19.23/19.45 (define @t77 () (tptp.member @t76 @t74)) % 19.23/19.45 (define @t78 () (not (tptp.member @t76 @t33))) % 19.23/19.45 (define @t79 () (tptp.inverse @t3)) % 19.23/19.45 (define @t80 () (tptp.compose @t3 @t79)) % 19.23/19.45 (define @t81 () (tptp.subclass @t80 tptp.identity_relation)) % 19.23/19.45 (define @t82 () (tptp.single_valued_class @t3)) % 19.23/19.45 (define @t83 () (@var "Xf" $$unsorted)) % 19.23/19.45 (define @t84 () (tptp.subclass @t83 @t33)) % 19.23/19.45 (define @t85 () (tptp.function @t83)) % 19.23/19.45 (define @t86 () (not @t85)) % 19.23/19.45 (define @t87 () (@list @t83)) % 19.23/19.45 (define @t88 () (tptp.inverse @t83)) % 19.23/19.45 (define @t89 () (tptp.subclass (tptp.compose @t83 @t88) tptp.identity_relation)) % 19.23/19.45 (define @t90 () (tptp.regular @t3)) % 19.23/19.45 (define @t91 () (= @t3 tptp.null_class)) % 19.23/19.45 (define @t92 () (forall @t10 (or @t91 (tptp.member @t90 @t3)))) % 19.23/19.45 (define @t93 () (tptp.intersection @t3 @t90)) % 19.23/19.45 (define @t94 () (or @t91 (= @t93 tptp.null_class))) % 19.23/19.45 (define @t95 () (forall @t10 @t94)) % 19.23/19.45 (define @t96 () (@list @t83 @t1)) % 19.23/19.45 (define @t97 () (tptp.one_to_one @t83)) % 19.23/19.45 (define @t98 () (not @t97)) % 19.23/19.45 (define @t99 () (tptp.function @t88)) % 19.23/19.45 (define @t100 () (tptp.inverse tptp.element_relation)) % 19.23/19.45 (define @t101 () (tptp.complement tptp.element_relation)) % 19.23/19.45 (define @t102 () (tptp.operation @t83)) % 19.23/19.45 (define @t103 () (not @t102)) % 19.23/19.45 (define @t104 () (tptp.domain_of @t83)) % 19.23/19.45 (define @t105 () (tptp.domain_of @t104)) % 19.23/19.45 (define @t106 () (= (tptp.cross_product @t105 @t105) @t104)) % 19.23/19.45 (define @t107 () (tptp.range_of @t83)) % 19.23/19.45 (define @t108 () (tptp.subclass @t107 @t105)) % 19.23/19.45 (define @t109 () (@var "Xh" $$unsorted)) % 19.23/19.45 (define @t110 () (tptp.function @t109)) % 19.23/19.45 (define @t111 () (@var "Xf2" $$unsorted)) % 19.23/19.45 (define @t112 () (@var "Xf1" $$unsorted)) % 19.23/19.45 (define @t113 () (tptp.compatible @t109 @t112 @t111)) % 19.23/19.45 (define @t114 () (not @t113)) % 19.23/19.45 (define @t115 () (@list @t109 @t112 @t111)) % 19.23/19.45 (define @t116 () (tptp.domain_of @t112)) % 19.23/19.45 (define @t117 () (= (tptp.domain_of @t116) (tptp.domain_of @t109))) % 19.23/19.45 (define @t118 () (tptp.subclass (tptp.range_of @t109) (tptp.domain_of (tptp.domain_of @t111)))) % 19.23/19.45 (define @t119 () (tptp.operation @t112)) % 19.23/19.45 (define @t120 () (tptp.homomorphism @t109 @t112 @t111)) % 19.23/19.45 (define @t121 () (not @t120)) % 19.23/19.45 (define @t122 () (tptp.operation @t111)) % 19.23/19.45 (define @t123 () (tptp.not_homomorphism2 @t109 @t112 @t111)) % 19.23/19.45 (define @t124 () (tptp.not_homomorphism1 @t109 @t112 @t111)) % 19.23/19.45 (define @t125 () (tptp.ordered_pair @t124 @t123)) % 19.23/19.45 (define @t126 () (not @t122)) % 19.23/19.45 (define @t127 () (not @t119)) % 19.23/19.45 (define @t128 () (@list @t112 @t111 @t109)) % 19.23/19.45 (define @t129 () (tptp.compose_class @t3)) % 19.23/19.45 (define @t130 () (tptp.compose @t3 @t1)) % 19.23/19.45 (define @t131 () (= @t130 @t31)) % 19.23/19.45 (define @t132 () (tptp.member @t76 @t129)) % 19.23/19.45 (define @t133 () (@list @t1 @t31 @t3)) % 19.23/19.45 (define @t134 () (tptp.cross_product tptp.universal_class @t33)) % 19.23/19.45 (define @t135 () (tptp.ordered_pair @t3 @t76)) % 19.23/19.45 (define @t136 () (@list @t3 @t1 @t31)) % 19.23/19.45 (define @t137 () (tptp.single_valued1 @t3)) % 19.23/19.45 (define @t138 () (tptp.not_subclass_element @t80 tptp.identity_relation)) % 19.23/19.45 (define @t139 () (tptp.single_valued2 @t3)) % 19.23/19.45 (define @t140 () (tptp.member @t1 @t50)) % 19.23/19.45 (define @t141 () (not (tptp.member @t135 tptp.application_function))) % 19.23/19.45 (define @t142 () (tptp.apply @t3 @t1)) % 19.23/19.45 (define @t143 () (not (tptp.maps @t83 @t3 @t1))) % 19.23/19.45 (define @t144 () (@list @t83 @t3 @t1)) % 19.23/19.45 (define @t145 () (tptp.subclass @t107 @t1)) % 19.23/19.45 (define @t146 () (tptp.ordered_pair tptp.x tptp.universal_class)) % 19.23/19.45 (define @t147 () (tptp.unordered_pair tptp.x tptp.null_class)) % 19.23/19.45 (define @t148 () (tptp.singleton tptp.x)) % 19.23/19.45 (define @t149 () (tptp.unordered_pair @t148 @t147)) % 19.23/19.45 (define @t150 () (= @t149 @t146)) % 19.23/19.45 (define @t151 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 19.23/19.45 (define @t152 () (tptp.regular @t151)) % 19.23/19.45 (define @t153 () (tptp.intersection @t151 @t152)) % 19.23/19.45 (define @t154 () (= tptp.null_class @t153)) % 19.23/19.45 (define @t155 () (= @t151 tptp.null_class)) % 19.23/19.45 (define @t156 () (or @t155 @t154)) % 19.23/19.45 (define @t157 () (forall @t10 (or @t91 (= tptp.null_class @t93)))) % 19.23/19.45 (define @t158 () (@list @t151)) % 19.23/19.45 (define @t159 () (= tptp.null_class @t151)) % 19.23/19.45 (define @t160 () (or @t159 @t154)) % 19.23/19.45 (define @t161 () (@list false)) % 19.23/19.45 (define @t162 () (@list @t157)) % 19.23/19.45 (define @t163 () (tptp.singleton tptp.universal_class)) % 19.23/19.45 (define @t164 () (tptp.unordered_pair @t148 (tptp.unordered_pair tptp.x @t163))) % 19.23/19.45 (define @t165 () (= @t164 @t146)) % 19.23/19.45 (define @t166 () (@list tptp.x tptp.universal_class)) % 19.23/19.45 (define @t167 () (= @t146 @t164)) % 19.23/19.45 (define @t168 () (= @t151 @t163)) % 19.23/19.45 (define @t169 () (and @t168 @t159 @t167)) % 19.23/19.45 (define @t170 () (not @t159)) % 19.23/19.45 (define @t171 () (@list true false)) % 19.23/19.45 (define @t172 () (tptp.member @t152 @t151)) % 19.23/19.45 (define @t173 () (or @t155 @t172)) % 19.23/19.45 (define @t174 () (or @t159 @t172)) % 19.23/19.45 (define @t175 () (= tptp.universal_class @t152)) % 19.23/19.45 (define @t176 () (not @t172)) % 19.23/19.45 (define @t177 () (or @t176 @t175 @t175)) % 19.23/19.45 (define @t178 () (@list false false)) % 19.23/19.45 (define @t179 () (tptp.member tptp.universal_class @t151)) % 19.23/19.45 (define @t180 () (and @t172 @t175)) % 19.23/19.45 (define @t181 () (not @t175)) % 19.23/19.45 (define @t182 () (tptp.member tptp.universal_class tptp.universal_class)) % 19.23/19.45 (define @t183 () (not @t179)) % 19.23/19.45 (define @t184 () (tptp.subclass @t151 tptp.universal_class)) % 19.23/19.45 (define @t185 () (not @t184)) % 19.23/19.45 (define @t186 () (or @t185 @t183 @t182)) % 19.23/19.45 (define @t187 () (@list false false false)) % 19.23/19.45 (define @t188 () (tptp.member tptp.universal_class (tptp.intersection @t151 tptp.universal_class))) % 19.23/19.45 (define @t189 () (not @t182)) % 19.23/19.45 (define @t190 () (or @t183 @t189 @t188)) % 19.23/19.45 (define @t191 () (tptp.member tptp.universal_class tptp.null_class)) % 19.23/19.45 (define @t192 () (and @t154 @t175 @t188)) % 19.23/19.45 (define @t193 () (not @t188)) % 19.23/19.45 (define @t194 () (not @t154)) % 19.23/19.45 (define @t195 () (@list tptp.null_class tptp.element_relation)) % 19.23/19.45 (define @t196 () (tptp.subclass tptp.null_class tptp.element_relation)) % 19.23/19.45 (define @t197 () (tptp.not_subclass_element tptp.null_class tptp.element_relation)) % 19.23/19.45 (define @t198 () (tptp.member @t197 tptp.null_class)) % 19.23/19.45 (define @t199 () (or @t198 @t196)) % 19.23/19.45 (define @t200 () (tptp.member @t197 tptp.element_relation)) % 19.23/19.45 (define @t201 () (not @t200)) % 19.23/19.45 (define @t202 () (or @t201 @t196)) % 19.23/19.45 (define @t203 () (tptp.regular tptp.element_relation)) % 19.23/19.45 (define @t204 () (tptp.intersection tptp.element_relation @t203)) % 19.23/19.45 (define @t205 () (tptp.member @t197 @t204)) % 19.23/19.45 (define @t206 () (not @t205)) % 19.23/19.45 (define @t207 () (or @t206 @t200)) % 19.23/19.45 (define @t208 () (= tptp.null_class @t204)) % 19.23/19.45 (define @t209 () (and @t208 @t198)) % 19.23/19.45 (define @t210 () (= tptp.element_relation tptp.null_class)) % 19.23/19.45 (define @t211 () (or @t210 @t208)) % 19.23/19.45 (define @t212 () (not @t198)) % 19.23/19.45 (define @t213 () (not @t210)) % 19.23/19.45 (define @t214 () (= false true)) % 19.23/19.45 (define @t215 () (and @t198 @t210 @t201)) % 19.23/19.45 (define @t216 () (tptp.member tptp.universal_class tptp.element_relation)) % 19.23/19.45 (define @t217 () (not @t191)) % 19.23/19.45 (define @t218 () (not @t196)) % 19.23/19.45 (define @t219 () (or @t218 @t217 @t216)) % 19.23/19.45 (define @t220 () (not @t216)) % 19.23/19.45 (define @t221 () (tptp.member tptp.universal_class @t101)) % 19.23/19.45 (define @t222 () (not @t221)) % 19.23/19.45 (define @t223 () (or @t222 @t220)) % 19.23/19.45 (define @t224 () (tptp.regular @t101)) % 19.23/19.45 (define @t225 () (tptp.intersection @t101 @t224)) % 19.23/19.45 (define @t226 () (= tptp.null_class @t225)) % 19.23/19.45 (define @t227 () (or (= @t101 tptp.null_class) @t226)) % 19.23/19.45 (define @t228 () (= tptp.null_class @t101)) % 19.23/19.45 (define @t229 () (or @t228 @t226)) % 19.23/19.45 (define @t230 () (tptp.member tptp.universal_class @t225)) % 19.23/19.45 (define @t231 () (not @t230)) % 19.23/19.45 (define @t232 () (or @t231 @t221)) % 19.23/19.45 (define @t233 () (not @t226)) % 19.23/19.45 (define @t234 () (and @t188 @t175 @t154 @t226 @t231)) % 19.23/19.45 (define @t235 () (not @t228)) % 19.23/19.45 (define @t236 () (and @t188 @t175 @t154 @t228 @t222)) % 19.23/19.45 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 19.23/19.45 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 19.23/19.45 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 19.23/19.45 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 19.23/19.45 (assume @p5 (forall @t9 (or @t12 @t6))) % 19.23/19.45 (assume @p6 (forall @t9 (or @t12 @t13))) % 19.23/19.45 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 19.23/19.45 (assume @p8 @t17) % 19.23/19.45 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 19.23/19.45 (assume @p10 (forall (@list @t1 @t3) (or @t19 (tptp.member @t1 @t14)))) % 19.23/19.45 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 19.23/19.45 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t20))) % 19.23/19.45 (assume @p13 @t23) % 19.23/19.45 (assume @p14 (forall @t29 (or @t28 @t4))) % 19.23/19.45 (assume @p15 (forall @t29 (or @t28 @t30))) % 19.23/19.45 (assume @p16 (forall (@list @t2 @t3 @t25 @t1) (or @t5 (not @t30) @t27))) % 19.23/19.45 (assume @p17 (forall @t32 (or (not (tptp.member @t31 @t24)) (= (tptp.ordered_pair (tptp.first @t31) (tptp.second @t31)) @t31)))) % 19.23/19.45 (assume @p18 (tptp.subclass tptp.element_relation @t33)) % 19.23/19.45 (assume @p19 (forall @t9 (or (not @t35) @t34))) % 19.23/19.45 (assume @p20 (forall @t9 (or @t36 (not @t34) @t35))) % 19.23/19.45 (assume @p21 (forall @t32 (or @t40 @t37))) % 19.23/19.45 (assume @p22 (forall @t32 (or @t40 @t41))) % 19.23/19.45 (assume @p23 (forall @t32 (or @t42 (not @t41) @t39))) % 19.23/19.45 (assume @p24 (forall @t45 (or (not @t44) @t42))) % 19.23/19.45 (assume @p25 (forall @t45 (or @t46 @t44 @t37))) % 19.23/19.45 (assume @p26 (forall @t9 (= @t47 (tptp.union @t3 @t1)))) % 19.23/19.45 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t38) @t47) (tptp.symmetric_difference @t3 @t1)))) % 19.23/19.45 (assume @p28 (forall (@list @t48 @t3 @t1) (= (tptp.intersection @t48 @t24) @t49))) % 19.23/19.45 (assume @p29 (forall (@list @t3 @t1 @t48) (= (tptp.intersection @t24 @t48) @t49))) % 19.23/19.45 (assume @p30 (forall (@list @t3 @t31) (or (not @t52) (not @t51)))) % 19.23/19.45 (assume @p31 (forall @t45 (or @t46 @t52 @t51))) % 19.23/19.45 (assume @p32 (forall @t10 (tptp.subclass @t54 @t53))) % 19.23/19.45 (assume @p33 (forall @t59 (or (not @t58) @t56))) % 19.23/19.45 (assume @p34 (forall (@list @t25 @t55 @t2 @t3) (or (not @t56) @t60 @t58))) % 19.23/19.45 (assume @p35 (forall @t10 (tptp.subclass @t61 @t53))) % 19.23/19.45 (assume @p36 (forall @t59 (or (not @t63) @t62))) % 19.23/19.45 (assume @p37 (forall (@list @t25 @t2 @t55 @t3) (or (not @t62) @t60 @t63))) % 19.23/19.45 (assume @p38 (forall @t64 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 19.23/19.45 (assume @p39 (forall (@list @t31) (= (tptp.domain_of (tptp.inverse @t31)) (tptp.range_of @t31)))) % 19.23/19.45 (assume @p40 (forall @t32 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t31 @t3 @t22) tptp.null_class)) (tptp.domain @t31 @t3 @t1)))) % 19.23/19.45 (assume @p41 (forall @t32 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t31 @t20 @t1) tptp.null_class)) (tptp.range @t31 @t3 @t1)))) % 19.23/19.45 (assume @p42 (forall (@list @t48 @t3) (= (tptp.range_of (tptp.restrict @t48 @t3 tptp.universal_class)) (tptp.image @t48 @t3)))) % 19.23/19.45 (assume @p43 (forall @t10 (= (tptp.union @t3 @t20) @t65))) % 19.23/19.45 (assume @p44 (tptp.subclass tptp.successor_relation @t33)) % 19.23/19.45 (assume @p45 (forall @t9 (or (not @t67) @t66))) % 19.23/19.45 (assume @p46 (forall @t9 (or (not @t66) @t36 @t67))) % 19.23/19.45 (assume @p47 (forall @t10 (or @t70 @t68))) % 19.23/19.45 (assume @p48 (forall @t10 (or @t70 @t71))) % 19.23/19.45 (assume @p49 (forall @t10 (or (not @t68) (not @t71) @t69))) % 19.23/19.45 (assume @p50 (tptp.inductive tptp.omega)) % 19.23/19.45 (assume @p51 (forall @t64 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 19.23/19.45 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 19.23/19.45 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t72))) % 19.23/19.45 (assume @p54 (forall @t10 (or @t18 (tptp.member @t72 tptp.universal_class)))) % 19.23/19.45 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t43)) (tptp.power_class @t3)))) % 19.23/19.45 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 19.23/19.45 (assume @p57 (forall (@list @t73 @t48) (tptp.subclass @t74 @t33))) % 19.23/19.45 (assume @p58 (forall (@list @t1 @t31 @t73 @t48) (or (not @t77) @t75))) % 19.23/19.45 (assume @p59 (forall (@list @t31 @t73 @t48 @t1) (or (not @t75) @t78 @t77))) % 19.23/19.45 (assume @p60 (forall @t10 (or (not @t82) @t81))) % 19.23/19.45 (assume @p61 (forall @t10 (or (not @t81) @t82))) % 19.23/19.45 (assume @p62 (forall @t87 (or @t86 @t84))) % 19.23/19.45 (assume @p63 (forall @t87 (or @t86 @t89))) % 19.23/19.45 (assume @p64 (forall @t87 (or (not @t84) (not @t89) @t85))) % 19.23/19.45 (assume @p65 (forall (@list @t83 @t3) (or @t86 @t18 (tptp.member (tptp.image @t83 @t3) tptp.universal_class)))) % 19.23/19.45 (assume @p66 @t92) % 19.23/19.45 (assume @p67 @t95) % 19.23/19.45 (assume @p68 (forall @t96 (= (tptp.sum_class (tptp.image @t83 @t22)) (tptp.apply @t83 @t1)))) % 19.23/19.45 (assume @p69 (tptp.function tptp.choice)) % 19.23/19.45 (assume @p70 (forall @t64 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 19.23/19.45 (assume @p71 (forall @t87 (or @t98 @t85))) % 19.23/19.45 (assume @p72 (forall @t87 (or @t98 @t99))) % 19.23/19.45 (assume @p73 (forall @t87 (or (not @t99) @t86 @t97))) % 19.23/19.45 (assume @p74 (= (tptp.intersection @t33 (tptp.intersection @t33 (tptp.complement (tptp.compose @t101 @t100)))) tptp.subset_relation)) % 19.23/19.45 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 19.23/19.45 (assume @p76 (forall (@list @t48) (= (tptp.complement (tptp.domain_of (tptp.intersection @t48 tptp.identity_relation))) (tptp.diagonalise @t48)))) % 19.23/19.45 (assume @p77 (forall @t10 (= (tptp.intersection @t50 (tptp.diagonalise (tptp.compose @t100 @t3))) (tptp.cantor @t3)))) % 19.23/19.45 (assume @p78 (forall @t87 (or @t103 @t85))) % 19.23/19.45 (assume @p79 (forall @t87 (or @t103 @t106))) % 19.23/19.45 (assume @p80 (forall @t87 (or @t103 @t108))) % 19.23/19.45 (assume @p81 (forall @t87 (or @t86 (not @t106) (not @t108) @t102))) % 19.23/19.45 (assume @p82 (forall @t115 (or @t114 @t110))) % 19.23/19.45 (assume @p83 (forall @t115 (or @t114 @t117))) % 19.23/19.45 (assume @p84 (forall @t115 (or @t114 @t118))) % 19.23/19.45 (assume @p85 (forall @t115 (or (not @t110) (not @t117) (not @t118) @t113))) % 19.23/19.45 (assume @p86 (forall @t115 (or @t121 @t119))) % 19.23/19.45 (assume @p87 (forall @t115 (or @t121 @t122))) % 19.23/19.45 (assume @p88 (forall @t115 (or @t121 @t113))) % 19.23/19.45 (assume @p89 (forall (@list @t109 @t112 @t111 @t3 @t1) (or @t121 (not (tptp.member @t21 @t116)) (= (tptp.apply @t111 (tptp.ordered_pair (tptp.apply @t109 @t3) (tptp.apply @t109 @t1))) (tptp.apply @t109 (tptp.apply @t112 @t21)))))) % 19.23/19.45 (assume @p90 (forall @t128 (or @t127 @t126 @t114 (tptp.member @t125 @t116) @t120))) % 19.23/19.45 (assume @p91 (forall @t128 (or @t127 @t126 @t114 (not (= (tptp.apply @t111 (tptp.ordered_pair (tptp.apply @t109 @t124) (tptp.apply @t109 @t123))) (tptp.apply @t109 (tptp.apply @t112 @t125)))) @t120))) % 19.23/19.45 (assume @p92 (forall @t10 (tptp.subclass @t129 @t33))) % 19.23/19.45 (assume @p93 (forall @t133 (or (not @t132) @t131))) % 19.23/19.45 (assume @p94 (forall @t133 (or @t78 (not @t131) @t132))) % 19.23/19.45 (assume @p95 (tptp.subclass tptp.composition_function @t134)) % 19.23/19.45 (assume @p96 (forall @t136 (or (not (tptp.member @t135 tptp.composition_function)) @t131))) % 19.23/19.45 (assume @p97 (forall @t9 (or @t36 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t130)) tptp.composition_function)))) % 19.23/19.45 (assume @p98 (tptp.subclass tptp.domain_relation @t33)) % 19.23/19.45 (assume @p99 (forall @t9 (or (not (tptp.member @t21 tptp.domain_relation)) (= @t50 @t1)))) % 19.23/19.45 (assume @p100 (forall @t10 (or @t18 (tptp.member (tptp.ordered_pair @t3 @t50) tptp.domain_relation)))) % 19.23/19.45 (assume @p101 (forall @t10 (= (tptp.first @t138) @t137))) % 19.23/19.45 (assume @p102 (forall @t10 (= (tptp.second @t138) @t139))) % 19.23/19.45 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t79 (tptp.singleton @t137)) @t139) (tptp.single_valued3 @t3)))) % 19.23/19.45 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 19.23/19.45 (assume @p105 (tptp.subclass tptp.application_function @t134)) % 19.23/19.45 (assume @p106 (forall @t136 (or @t141 @t140))) % 19.23/19.45 (assume @p107 (forall @t136 (or @t141 (= @t142 @t31)))) % 19.23/19.45 (assume @p108 (forall @t136 (or (not (tptp.member @t135 @t134)) (not @t140) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t142)) tptp.application_function)))) % 19.23/19.45 (assume @p109 (forall @t144 (or @t143 @t85))) % 19.23/19.45 (assume @p110 (forall @t144 (or @t143 (= @t104 @t3)))) % 19.23/19.45 (assume @p111 (forall @t144 (or @t143 @t145))) % 19.23/19.45 (assume @p112 (forall @t96 (or @t86 (not @t145) (tptp.maps @t83 @t104 @t1)))) % 19.23/19.45 (assume @p113 (not @t150)) % 19.23/19.45 (step @p114 :rule eq-symm :args (@t93 tptp.null_class)) % 19.23/19.45 (step @p115 :rule refl :args (@t91)) % 19.23/19.45 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t94)) % 19.23/19.45 (step @p117 :rule cong :premises (@p116) :args (@t95)) % 19.23/19.45 (step @p118 :rule eq_resolve :premises (@p67 @p117)) % 19.23/19.45 (step @p119 :rule refl :args (@t154)) % 19.23/19.45 (step @p120 :rule eq-symm :args (@t151 tptp.null_class)) % 19.23/19.45 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t156)) % 19.23/19.45 (step @p122 :rule refl :args (@t157)) % 19.23/19.45 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t157 @t156))) % 19.23/19.45 (assume-push @p436 @t157) % 19.23/19.45 (step @p125 :rule instantiate :premises (@p118) :args (@t158)) % 19.23/19.45 (step-pop @p437 :rule scope :premises (@p125)) % 19.23/19.45 (step @p126 :rule process_scope :premises (@p437) :args (@t156)) % 19.23/19.45 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 19.23/19.45 (step @p129 :rule implies_elim :premises (@p128)) % 19.23/19.45 (step @p130 :rule chain_m_resolution :premises (@p129 @p118) :args (@t160 @t161 @t162)) % 19.23/19.45 (step @p131 :rule instantiate :premises (@p12) :args ((@list tptp.universal_class))) % 19.23/19.45 (step @p132 :rule eq-symm :args (@t164 @t146)) % 19.23/19.45 (step @p133 :rule refl :args (@t23)) % 19.23/19.45 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t23 @t165))) % 19.23/19.45 (assume-push @p438 @t23) % 19.23/19.45 (step @p136 :rule instantiate :premises (@p13) :args (@t166)) % 19.23/19.45 (step-pop @p439 :rule scope :premises (@p136)) % 19.23/19.45 (step @p137 :rule process_scope :premises (@p439) :args (@t165)) % 19.23/19.45 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 19.23/19.45 (step @p140 :rule implies_elim :premises (@p139)) % 19.23/19.45 (step @p141 :rule chain_m_resolution :premises (@p140 @p13) :args (@t167 @t161 (@list @t23))) % 19.23/19.45 (assume-push @p440 @t168) % 19.23/19.45 (assume-push @p441 @t159) % 19.23/19.45 (assume-push @p442 @t167) % 19.23/19.45 (assume-push @p443 @t167) % 19.23/19.45 (assume-push @p444 @t168) % 19.23/19.45 (assume-push @p445 @t159) % 19.23/19.45 (step @p136 :rule instantiate :premises (@p13) :args (@t166)) % 19.23/19.45 (step @p148 :rule trans :premises (@p441 @p131)) % 19.23/19.45 (step @p149 :rule refl :args (tptp.x)) % 19.23/19.45 (step @p150 :rule cong :premises (@p149 @p148) :args (@t147)) % 19.23/19.45 (step @p151 :rule refl :args (@t148)) % 19.23/19.45 (step @p152 :rule cong :premises (@p151 @p150) :args (@t149)) % 19.23/19.45 (step @p153 :rule trans :premises (@p152 @p136)) % 19.23/19.45 (step-pop @p446 :rule scope :premises (@p153)) % 19.23/19.45 (step-pop @p447 :rule scope :premises (@p446)) % 19.23/19.45 (step-pop @p448 :rule scope :premises (@p447)) % 19.23/19.45 (step @p154 :rule process_scope :premises (@p448) :args (@t150)) % 19.23/19.45 (step @p158 :rule and_intro :premises (@p141 @p131 @p441)) % 19.23/19.45 (step @p159 :rule modus_ponens :premises (@p158 @p154)) % 19.23/19.45 (step-pop @p449 :rule scope :premises (@p159)) % 19.23/19.45 (step-pop @p450 :rule scope :premises (@p449)) % 19.23/19.45 (step-pop @p451 :rule scope :premises (@p450)) % 19.23/19.45 (step @p160 :rule process_scope :premises (@p451) :args (@t150)) % 19.23/19.45 (step @p164 :rule implies_elim :premises (@p160)) % 19.23/19.45 (step @p165 :rule cnf_and_neg :args (@t169)) % 19.23/19.45 (step @p166 :rule resolution :premises (@p165 @p164) :args (true @t169)) % 19.23/19.45 (step @p167 :rule reordering :premises (@p166) :args ((or @t150 (not @t168) @t170 (not @t167)))) % 19.23/19.45 (step @p168 :rule chain_m_resolution :premises (@p167 @p141 @p131 @p113) :args (@t170 (@list false false true) (@list @t167 @t168 @t150))) % 19.23/19.45 (step @p169 :rule cnf_or_pos :args (@t160)) % 19.23/19.45 (step @p170 :rule reordering :premises (@p169) :args ((or @t159 @t154 (not @t160)))) % 19.23/19.45 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p130) 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(step @p293 :rule bool-double-not-elim :args (@t200)) % 19.23/19.45 (step @p294 :rule refl :args (@t212)) % 19.23/19.45 (step @p295 :rule refl :args (@t213)) % 19.23/19.45 (step @p296 :rule nary_cong :premises (@p295 @p294 @p293) :args ((or @t213 @t212 (not @t201)))) % 19.23/19.45 (assume-push @p482 @t198) % 19.23/19.45 (assume-push @p483 @t210) % 19.23/19.45 (assume-push @p484 @t201) % 19.23/19.45 (step @p300 :rule evaluate :args (@t214)) % 19.23/19.45 (step @p301 :rule true_intro :premises (@p482)) % 19.23/19.45 (step @p274 :rule refl :args (@t197)) % 19.23/19.45 (step @p302 :rule cong :premises (@p274 @p483) :args (@t200)) % 19.23/19.45 (step @p303 :rule false_intro :premises (@p484)) % 19.23/19.45 (step @p304 :rule symm :premises (@p303)) % 19.23/19.45 (step @p305 :rule trans :premises (@p304 @p302 @p301)) % 19.23/19.45 (step @p306 false :rule eq_resolve :premises (@p305 @p300)) % 19.23/19.45 (step-pop @p485 :rule scope :premises (@p306)) % 19.23/19.45 (step-pop @p486 :rule scope 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(step @p324 :rule chain_m_resolution :premises (@p323 @p292 @p290 @p289 @p264 @p262 @p261 @p259) :args (@t196 (@list false false true true false false false) (@list @t210 @t211 @t208 @t200 @t202 @t198 @t199))) % 19.23/19.46 (step @p325 :rule cnf_or_pos :args (@t219)) % 19.23/19.46 (step @p326 :rule reordering :premises (@p325) :args ((or @t216 @t218 @t217 (not @t219)))) % 19.23/19.46 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p258 @p229) :args (@t216 @t187 (@list @t196 @t191 @t219))) % 19.23/19.46 (step @p328 :rule cnf_or_pos :args (@t223)) % 19.23/19.46 (step @p329 :rule reordering :premises (@p328) :args ((or @t220 @t222 (not @t223)))) % 19.23/19.46 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p228) :args (@t222 @t178 (@list @t216 @t223))) % 19.23/19.46 (step @p331 :rule refl :args (@t226)) % 19.23/19.46 (step @p332 :rule eq-symm :args (@t101 tptp.null_class)) % 19.23/19.46 (step @p333 :rule nary_cong :premises (@p332 @p331) :args (@t227)) % 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@t175) % 19.23/19.46 (assume-push @p509 @t188) % 19.23/19.46 (assume-push @p510 @t231) % 19.23/19.46 (step @p379 :rule and_intro :premises (@p509 @p508 @p507 @p506 @p510)) % 19.23/19.46 (step-pop @p511 :rule scope :premises (@p379)) % 19.23/19.46 (step-pop @p512 :rule scope :premises (@p511)) % 19.23/19.46 (step-pop @p513 :rule scope :premises (@p512)) % 19.23/19.46 (step-pop @p514 :rule scope :premises (@p513)) % 19.23/19.46 (step-pop @p515 :rule scope :premises (@p514)) % 19.23/19.46 (step @p380 :rule process_scope :premises (@p515) :args (@t234)) % 19.23/19.46 (step @p386 :rule implies_elim :premises (@p380)) % 19.23/19.46 (step @p387 :rule resolution :premises (@p386 @p368) :args (true @t234)) % 19.23/19.46 (step @p388 :rule not_and :premises (@p387)) % 19.23/19.46 (step @p389 :rule eq_resolve :premises (@p388 @p351)) % 19.23/19.46 (step @p390 :rule chain_m_resolution :premises (@p389 @p171 @p196 @p227 @p345) :args (@t233 (@list false false false true) (@list @t154 @t175 @t188 @t230))) % 19.23/19.46 (step @p391 :rule cnf_or_pos :args (@t229)) % 19.23/19.46 (step @p392 :rule reordering :premises (@p391) :args ((or @t228 @t226 (not @t229)))) % 19.23/19.46 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p341) :args (@t228 @t171 (@list @t226 @t229))) % 19.23/19.46 (step @p394 :rule refl :args (@t235)) % 19.23/19.46 (step @p395 :rule bool-double-not-elim :args (@t221)) % 19.23/19.46 (step @p396 :rule nary_cong :premises (@p395 @p394 @p349 @p348 @p347) :args ((or (not @t222) @t235 @t194 @t181 @t193))) % 19.23/19.46 (assume-push @p516 @t188) % 19.23/19.46 (assume-push @p517 @t175) % 19.23/19.46 (assume-push @p518 @t154) % 19.23/19.46 (assume-push @p519 @t228) % 19.23/19.46 (assume-push @p520 @t222) % 19.23/19.46 (step @p300 :rule evaluate :args (@t214)) % 19.23/19.46 (step @p402 :rule true_intro :premises (@p516)) % 19.23/19.46 (step @p403 :rule symm :premises (@p517)) % 19.23/19.46 (step @p203 :rule refl :args (@t151)) % 19.23/19.46 (step @p404 :rule cong :premises (@p203 @p403) :args (@t153)) % 19.23/19.46 (step @p405 :rule trans :premises (@p518 @p404)) % 19.23/19.46 (step @p240 :rule refl :args (tptp.universal_class)) % 19.23/19.46 (step @p406 :rule cong :premises (@p240 @p405) :args (@t191)) % 19.23/19.46 (step @p407 :rule symm :premises (@p519)) % 19.23/19.46 (step @p408 :rule cong :premises (@p240 @p407) :args (@t221)) % 19.23/19.46 (step @p409 :rule false_intro :premises (@p520)) % 19.23/19.46 (step @p410 :rule symm :premises (@p409)) % 19.23/19.46 (step @p411 :rule trans :premises (@p410 @p408 @p406 @p402)) % 19.23/19.46 (step @p412 false :rule eq_resolve :premises (@p411 @p300)) % 19.23/19.46 (step-pop @p521 :rule scope :premises (@p412)) % 19.23/19.46 (step-pop @p522 :rule scope :premises (@p521)) % 19.23/19.46 (step-pop @p523 :rule scope :premises (@p522)) % 19.23/19.46 (step-pop @p524 :rule scope :premises (@p523)) % 19.23/19.46 (step-pop @p525 :rule scope :premises (@p524)) % 19.23/19.46 (step @p413 :rule process_scope :premises (@p525) :args (false)) % 19.23/19.46 (assume-push @p526 @t222) % 19.23/19.46 (assume-push @p527 @t228) % 19.23/19.46 (assume-push @p528 @t154) % 19.23/19.46 (assume-push @p529 @t175) % 19.23/19.46 (assume-push @p530 @t188) % 19.23/19.46 (step @p424 :rule and_intro :premises (@p530 @p529 @p528 @p527 @p526)) % 19.23/19.46 (step-pop @p531 :rule scope :premises (@p424)) % 19.23/19.46 (step-pop @p532 :rule scope :premises (@p531)) % 19.23/19.46 (step-pop @p533 :rule scope :premises (@p532)) % 19.23/19.46 (step-pop @p534 :rule scope :premises (@p533)) % 19.23/19.46 (step-pop @p535 :rule scope :premises (@p534)) % 19.23/19.46 (step @p425 :rule process_scope :premises (@p535) :args (@t236)) % 19.23/19.46 (step @p431 :rule implies_elim :premises (@p425)) % 19.23/19.46 (step @p432 :rule resolution :premises (@p431 @p413) :args (true @t236)) % 19.23/19.46 (step @p433 :rule not_and :premises (@p432)) % 19.23/19.46 (step @p434 :rule eq_resolve :premises (@p433 @p396)) % 19.23/19.46 (step @p435 false :rule chain_m_resolution :premises (@p434 @p393 @p330 @p227 @p196 @p171) :args (false (@list false true false false false) (@list @t228 @t221 @t188 @t175 @t154))) % 19.23/19.46 ) % 19.23/19.46 % SZS output end Proof % 19.23/19.46 % cvc5 exiting %------------------------------------------------------------------------------