%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET503-6 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 18.98s 19.29s % Output : Proof 19.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET503-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.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 10:53:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.14/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/15.62 --- Run --no-e-matching --full-saturate-quant at 6... % 18.98/19.29 % SZS status Unsatisfiable % 18.98/19.29 % SZS output start Proof % 19.08/19.30 ( % 19.08/19.30 (declare-sort $$unsorted 0) % 19.08/19.30 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.application_function $$unsorted) % 19.08/19.30 (declare-const tptp.singleton_relation $$unsorted) % 19.08/19.30 (declare-const tptp.x $$unsorted) % 19.08/19.30 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.operation (-> $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.function (-> $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.element_relation $$unsorted) % 19.08/19.30 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.universal_class $$unsorted) % 19.08/19.30 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.successor_relation $$unsorted) % 19.08/19.30 (declare-const tptp.choice $$unsorted) % 19.08/19.30 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.subset_relation $$unsorted) % 19.08/19.30 (declare-const tptp.null_class $$unsorted) % 19.08/19.30 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.omega $$unsorted) % 19.08/19.30 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.08/19.30 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.composition_function $$unsorted) % 19.08/19.30 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.identity_relation $$unsorted) % 19.08/19.30 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.domain_relation $$unsorted) % 19.08/19.30 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 19.08/19.30 (declare-const tptp.inductive (-> $$unsorted Bool)) % 19.08/19.30 (define @t1 () (@var "Y" $$unsorted)) % 19.08/19.30 (define @t2 () (@var "U" $$unsorted)) % 19.08/19.30 (define @t3 () (@var "X" $$unsorted)) % 19.08/19.30 (define @t4 () (tptp.member @t2 @t3)) % 19.08/19.30 (define @t5 () (not @t4)) % 19.08/19.30 (define @t6 () (tptp.subclass @t3 @t1)) % 19.08/19.30 (define @t7 () (not @t6)) % 19.08/19.30 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 19.08/19.30 (define @t9 () (@list @t3 @t1)) % 19.08/19.30 (define @t10 () (@list @t3)) % 19.08/19.30 (define @t11 () (= @t3 @t1)) % 19.08/19.30 (define @t12 () (not @t11)) % 19.08/19.30 (define @t13 () (tptp.subclass @t1 @t3)) % 19.08/19.30 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 19.08/19.30 (define @t15 () (not (tptp.member @t2 @t14))) % 19.08/19.30 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 19.08/19.30 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 19.08/19.30 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 19.08/19.30 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 19.08/19.30 (define @t20 () (tptp.singleton @t3)) % 19.08/19.30 (define @t21 () (tptp.ordered_pair @t3 @t1)) % 19.08/19.30 (define @t22 () (tptp.singleton @t1)) % 19.08/19.30 (define @t23 () (tptp.cross_product @t3 @t1)) % 19.08/19.30 (define @t24 () (@var "V" $$unsorted)) % 19.08/19.30 (define @t25 () (tptp.ordered_pair @t2 @t24)) % 19.08/19.30 (define @t26 () (tptp.member @t25 @t23)) % 19.08/19.30 (define @t27 () (not @t26)) % 19.08/19.30 (define @t28 () (@list @t2 @t24 @t3 @t1)) % 19.08/19.30 (define @t29 () (tptp.member @t24 @t1)) % 19.08/19.30 (define @t30 () (@var "Z" $$unsorted)) % 19.08/19.30 (define @t31 () (@list @t30 @t3 @t1)) % 19.08/19.30 (define @t32 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 19.08/19.30 (define @t33 () (tptp.member @t3 @t1)) % 19.08/19.30 (define @t34 () (tptp.member @t21 tptp.element_relation)) % 19.08/19.30 (define @t35 () (not (tptp.member @t21 @t32))) % 19.08/19.30 (define @t36 () (tptp.member @t30 @t3)) % 19.08/19.30 (define @t37 () (tptp.intersection @t3 @t1)) % 19.08/19.30 (define @t38 () (tptp.member @t30 @t37)) % 19.08/19.30 (define @t39 () (not @t38)) % 19.08/19.30 (define @t40 () (tptp.member @t30 @t1)) % 19.08/19.30 (define @t41 () (not @t36)) % 19.08/19.30 (define @t42 () (tptp.complement @t3)) % 19.08/19.30 (define @t43 () (tptp.member @t30 @t42)) % 19.08/19.30 (define @t44 () (@list @t30 @t3)) % 19.08/19.30 (define @t45 () (not (tptp.member @t30 tptp.universal_class))) % 19.08/19.30 (define @t46 () (tptp.complement (tptp.intersection @t42 (tptp.complement @t1)))) % 19.08/19.30 (define @t47 () (@var "Xr" $$unsorted)) % 19.08/19.30 (define @t48 () (tptp.restrict @t47 @t3 @t1)) % 19.08/19.30 (define @t49 () (tptp.domain_of @t3)) % 19.08/19.30 (define @t50 () (tptp.member @t30 @t49)) % 19.08/19.30 (define @t51 () (= (tptp.restrict @t3 (tptp.singleton @t30) tptp.universal_class) tptp.null_class)) % 19.08/19.30 (define @t52 () (tptp.cross_product @t32 tptp.universal_class)) % 19.08/19.30 (define @t53 () (tptp.rotate @t3)) % 19.08/19.30 (define @t54 () (@var "W" $$unsorted)) % 19.08/19.30 (define @t55 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t54) @t2) @t3)) % 19.08/19.30 (define @t56 () (tptp.ordered_pair @t25 @t54)) % 19.08/19.30 (define @t57 () (tptp.member @t56 @t53)) % 19.08/19.30 (define @t58 () (@list @t2 @t24 @t54 @t3)) % 19.08/19.30 (define @t59 () (not (tptp.member @t56 @t52))) % 19.08/19.30 (define @t60 () (tptp.flip @t3)) % 19.08/19.30 (define @t61 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t2) @t54) @t3)) % 19.08/19.30 (define @t62 () (tptp.member @t56 @t60)) % 19.08/19.30 (define @t63 () (@list @t1)) % 19.08/19.30 (define @t64 () (tptp.successor @t3)) % 19.08/19.30 (define @t65 () (= @t64 @t1)) % 19.08/19.30 (define @t66 () (tptp.member @t21 tptp.successor_relation)) % 19.08/19.30 (define @t67 () (tptp.member tptp.null_class @t3)) % 19.08/19.30 (define @t68 () (tptp.inductive @t3)) % 19.08/19.30 (define @t69 () (not @t68)) % 19.08/19.30 (define @t70 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 19.08/19.30 (define @t71 () (tptp.sum_class @t3)) % 19.08/19.30 (define @t72 () (@var "Yr" $$unsorted)) % 19.08/19.30 (define @t73 () (tptp.compose @t72 @t47)) % 19.08/19.30 (define @t74 () (tptp.member @t30 (tptp.image @t72 (tptp.image @t47 @t22)))) % 19.08/19.30 (define @t75 () (tptp.ordered_pair @t1 @t30)) % 19.08/19.30 (define @t76 () (tptp.member @t75 @t73)) % 19.08/19.30 (define @t77 () (not (tptp.member @t75 @t32))) % 19.08/19.30 (define @t78 () (tptp.inverse @t3)) % 19.08/19.30 (define @t79 () (tptp.compose @t3 @t78)) % 19.08/19.30 (define @t80 () (tptp.subclass @t79 tptp.identity_relation)) % 19.08/19.30 (define @t81 () (tptp.single_valued_class @t3)) % 19.08/19.30 (define @t82 () (@var "Xf" $$unsorted)) % 19.08/19.30 (define @t83 () (tptp.subclass @t82 @t32)) % 19.08/19.30 (define @t84 () (tptp.function @t82)) % 19.08/19.30 (define @t85 () (not @t84)) % 19.08/19.30 (define @t86 () (@list @t82)) % 19.08/19.30 (define @t87 () (tptp.inverse @t82)) % 19.08/19.30 (define @t88 () (tptp.subclass (tptp.compose @t82 @t87) tptp.identity_relation)) % 19.08/19.30 (define @t89 () (tptp.regular @t3)) % 19.08/19.30 (define @t90 () (= @t3 tptp.null_class)) % 19.08/19.30 (define @t91 () (forall @t10 (or @t90 (tptp.member @t89 @t3)))) % 19.08/19.30 (define @t92 () (tptp.intersection @t3 @t89)) % 19.08/19.30 (define @t93 () (or @t90 (= @t92 tptp.null_class))) % 19.08/19.30 (define @t94 () (forall @t10 @t93)) % 19.08/19.30 (define @t95 () (@list @t82 @t1)) % 19.08/19.30 (define @t96 () (tptp.one_to_one @t82)) % 19.08/19.30 (define @t97 () (not @t96)) % 19.08/19.30 (define @t98 () (tptp.function @t87)) % 19.08/19.30 (define @t99 () (tptp.inverse tptp.element_relation)) % 19.08/19.30 (define @t100 () (tptp.complement tptp.element_relation)) % 19.08/19.30 (define @t101 () (tptp.operation @t82)) % 19.08/19.30 (define @t102 () (not @t101)) % 19.08/19.30 (define @t103 () (tptp.domain_of @t82)) % 19.08/19.30 (define @t104 () (tptp.domain_of @t103)) % 19.08/19.30 (define @t105 () (= (tptp.cross_product @t104 @t104) @t103)) % 19.08/19.30 (define @t106 () (tptp.range_of @t82)) % 19.08/19.30 (define @t107 () (tptp.subclass @t106 @t104)) % 19.08/19.30 (define @t108 () (@var "Xh" $$unsorted)) % 19.08/19.30 (define @t109 () (tptp.function @t108)) % 19.08/19.30 (define @t110 () (@var "Xf2" $$unsorted)) % 19.08/19.30 (define @t111 () (@var "Xf1" $$unsorted)) % 19.08/19.30 (define @t112 () (tptp.compatible @t108 @t111 @t110)) % 19.08/19.30 (define @t113 () (not @t112)) % 19.08/19.30 (define @t114 () (@list @t108 @t111 @t110)) % 19.08/19.30 (define @t115 () (tptp.domain_of @t111)) % 19.08/19.30 (define @t116 () (= (tptp.domain_of @t115) (tptp.domain_of @t108))) % 19.08/19.30 (define @t117 () (tptp.subclass (tptp.range_of @t108) (tptp.domain_of (tptp.domain_of @t110)))) % 19.08/19.30 (define @t118 () (tptp.operation @t111)) % 19.08/19.30 (define @t119 () (tptp.homomorphism @t108 @t111 @t110)) % 19.08/19.30 (define @t120 () (not @t119)) % 19.08/19.30 (define @t121 () (tptp.operation @t110)) % 19.08/19.30 (define @t122 () (tptp.not_homomorphism2 @t108 @t111 @t110)) % 19.08/19.30 (define @t123 () (tptp.not_homomorphism1 @t108 @t111 @t110)) % 19.08/19.30 (define @t124 () (tptp.ordered_pair @t123 @t122)) % 19.08/19.30 (define @t125 () (not @t121)) % 19.08/19.30 (define @t126 () (not @t118)) % 19.08/19.30 (define @t127 () (@list @t111 @t110 @t108)) % 19.08/19.30 (define @t128 () (tptp.compose_class @t3)) % 19.08/19.30 (define @t129 () (tptp.compose @t3 @t1)) % 19.08/19.30 (define @t130 () (= @t129 @t30)) % 19.08/19.30 (define @t131 () (tptp.member @t75 @t128)) % 19.08/19.30 (define @t132 () (@list @t1 @t30 @t3)) % 19.08/19.30 (define @t133 () (tptp.cross_product tptp.universal_class @t32)) % 19.08/19.30 (define @t134 () (tptp.ordered_pair @t3 @t75)) % 19.08/19.30 (define @t135 () (@list @t3 @t1 @t30)) % 19.08/19.30 (define @t136 () (tptp.single_valued1 @t3)) % 19.08/19.30 (define @t137 () (tptp.not_subclass_element @t79 tptp.identity_relation)) % 19.08/19.30 (define @t138 () (tptp.single_valued2 @t3)) % 19.08/19.30 (define @t139 () (tptp.member @t1 @t49)) % 19.08/19.30 (define @t140 () (not (tptp.member @t134 tptp.application_function))) % 19.08/19.30 (define @t141 () (tptp.apply @t3 @t1)) % 19.08/19.30 (define @t142 () (not (tptp.maps @t82 @t3 @t1))) % 19.08/19.30 (define @t143 () (@list @t82 @t3 @t1)) % 19.08/19.30 (define @t144 () (tptp.subclass @t106 @t1)) % 19.08/19.30 (define @t145 () (tptp.member tptp.universal_class tptp.x)) % 19.08/19.30 (define @t146 () (tptp.member tptp.universal_class tptp.universal_class)) % 19.08/19.30 (define @t147 () (not @t145)) % 19.08/19.30 (define @t148 () (tptp.subclass tptp.x tptp.universal_class)) % 19.08/19.30 (define @t149 () (not @t148)) % 19.08/19.30 (define @t150 () (or @t149 @t147 @t146)) % 19.08/19.30 (define @t151 () (@list false false false)) % 19.08/19.30 (define @t152 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 19.08/19.30 (define @t153 () (tptp.member tptp.universal_class @t152)) % 19.08/19.30 (define @t154 () (not @t146)) % 19.08/19.30 (define @t155 () (or @t154 @t153)) % 19.08/19.30 (define @t156 () (@list false false)) % 19.08/19.30 (define @t157 () (= tptp.null_class @t152)) % 19.08/19.30 (define @t158 () (not @t157)) % 19.08/19.30 (define @t159 () (tptp.member tptp.universal_class tptp.null_class)) % 19.08/19.30 (define @t160 () (not @t153)) % 19.08/19.30 (define @t161 () (not @t159)) % 19.08/19.30 (define @t162 () (not @t161)) % 19.08/19.30 (define @t163 () (= true false)) % 19.08/19.30 (define @t164 () (and @t161 @t157 @t153)) % 19.08/19.30 (define @t165 () (tptp.regular @t152)) % 19.08/19.30 (define @t166 () (tptp.member @t165 @t152)) % 19.08/19.30 (define @t167 () (= @t152 tptp.null_class)) % 19.08/19.30 (define @t168 () (or @t167 @t166)) % 19.08/19.30 (define @t169 () (@list @t152)) % 19.08/19.30 (define @t170 () (or @t157 @t166)) % 19.08/19.30 (define @t171 () (@list false)) % 19.08/19.30 (define @t172 () (= tptp.null_class (tptp.intersection @t152 @t165))) % 19.08/19.30 (define @t173 () (or @t167 @t172)) % 19.08/19.30 (define @t174 () (forall @t10 (or @t90 (= tptp.null_class @t92)))) % 19.08/19.30 (define @t175 () (or @t157 @t172)) % 19.08/19.30 (define @t176 () (@list @t174)) % 19.08/19.30 (define @t177 () (= tptp.universal_class @t165)) % 19.08/19.30 (define @t178 () (not @t166)) % 19.08/19.30 (define @t179 () (or @t178 @t177 @t177)) % 19.08/19.30 (define @t180 () (tptp.intersection @t152 tptp.universal_class)) % 19.08/19.30 (define @t181 () (tptp.member tptp.universal_class @t180)) % 19.08/19.30 (define @t182 () (or @t160 @t154 @t181)) % 19.08/19.30 (define @t183 () (not @t181)) % 19.08/19.30 (define @t184 () (not @t177)) % 19.08/19.30 (define @t185 () (not @t172)) % 19.08/19.30 (define @t186 () (tptp.regular @t100)) % 19.08/19.30 (define @t187 () (tptp.member tptp.universal_class @t100)) % 19.08/19.30 (define @t188 () (tptp.intersection @t100 @t186)) % 19.08/19.30 (define @t189 () (tptp.member tptp.universal_class @t188)) % 19.08/19.30 (define @t190 () (not @t189)) % 19.08/19.30 (define @t191 () (or @t190 @t187)) % 19.08/19.30 (define @t192 () (= tptp.null_class @t188)) % 19.08/19.30 (define @t193 () (not @t192)) % 19.08/19.30 (define @t194 () (= false true)) % 19.08/19.30 (define @t195 () (and @t159 @t192 @t190)) % 19.08/19.30 (define @t196 () (or (= @t100 tptp.null_class) @t192)) % 19.08/19.30 (define @t197 () (= tptp.null_class @t100)) % 19.08/19.30 (define @t198 () (or @t197 @t192)) % 19.08/19.30 (define @t199 () (not @t197)) % 19.08/19.30 (define @t200 () (not @t187)) % 19.08/19.30 (define @t201 () (and @t159 @t197 @t200)) % 19.08/19.30 (define @t202 () (tptp.member tptp.universal_class tptp.element_relation)) % 19.08/19.30 (define @t203 () (not @t202)) % 19.08/19.30 (define @t204 () (or @t200 @t203)) % 19.08/19.30 (define @t205 () (tptp.regular tptp.element_relation)) % 19.08/19.30 (define @t206 () (tptp.intersection tptp.element_relation @t205)) % 19.08/19.30 (define @t207 () (tptp.member tptp.universal_class @t206)) % 19.08/19.30 (define @t208 () (not @t207)) % 19.08/19.30 (define @t209 () (or @t208 @t202)) % 19.08/19.30 (define @t210 () (@list true false)) % 19.08/19.30 (define @t211 () (= tptp.null_class @t206)) % 19.08/19.30 (define @t212 () (not @t211)) % 19.08/19.30 (define @t213 () (and @t159 @t211 @t208)) % 19.08/19.30 (define @t214 () (= tptp.element_relation tptp.null_class)) % 19.08/19.30 (define @t215 () (or @t214 @t211)) % 19.08/19.30 (define @t216 () (not @t214)) % 19.08/19.30 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 19.08/19.30 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 19.08/19.30 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 19.08/19.30 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 19.08/19.30 (assume @p5 (forall @t9 (or @t12 @t6))) % 19.08/19.30 (assume @p6 (forall @t9 (or @t12 @t13))) % 19.08/19.30 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 19.08/19.30 (assume @p8 @t17) % 19.08/19.30 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 19.08/19.30 (assume @p10 (forall (@list @t1 @t3) (or @t19 (tptp.member @t1 @t14)))) % 19.08/19.30 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 19.08/19.30 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t20))) % 19.08/19.30 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t20 (tptp.unordered_pair @t3 @t22)) @t21))) % 19.08/19.30 (assume @p14 (forall @t28 (or @t27 @t4))) % 19.08/19.30 (assume @p15 (forall @t28 (or @t27 @t29))) % 19.08/19.30 (assume @p16 (forall (@list @t2 @t3 @t24 @t1) (or @t5 (not @t29) @t26))) % 19.08/19.30 (assume @p17 (forall @t31 (or (not (tptp.member @t30 @t23)) (= (tptp.ordered_pair (tptp.first @t30) (tptp.second @t30)) @t30)))) % 19.08/19.30 (assume @p18 (tptp.subclass tptp.element_relation @t32)) % 19.08/19.30 (assume @p19 (forall @t9 (or (not @t34) @t33))) % 19.08/19.30 (assume @p20 (forall @t9 (or @t35 (not @t33) @t34))) % 19.08/19.30 (assume @p21 (forall @t31 (or @t39 @t36))) % 19.08/19.30 (assume @p22 (forall @t31 (or @t39 @t40))) % 19.08/19.30 (assume @p23 (forall @t31 (or @t41 (not @t40) @t38))) % 19.08/19.30 (assume @p24 (forall @t44 (or (not @t43) @t41))) % 19.08/19.30 (assume @p25 (forall @t44 (or @t45 @t43 @t36))) % 19.08/19.30 (assume @p26 (forall @t9 (= @t46 (tptp.union @t3 @t1)))) % 19.08/19.30 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t37) @t46) (tptp.symmetric_difference @t3 @t1)))) % 19.08/19.30 (assume @p28 (forall (@list @t47 @t3 @t1) (= (tptp.intersection @t47 @t23) @t48))) % 19.08/19.30 (assume @p29 (forall (@list @t3 @t1 @t47) (= (tptp.intersection @t23 @t47) @t48))) % 19.08/19.30 (assume @p30 (forall (@list @t3 @t30) (or (not @t51) (not @t50)))) % 19.08/19.30 (assume @p31 (forall @t44 (or @t45 @t51 @t50))) % 19.08/19.30 (assume @p32 (forall @t10 (tptp.subclass @t53 @t52))) % 19.08/19.30 (assume @p33 (forall @t58 (or (not @t57) @t55))) % 19.08/19.30 (assume @p34 (forall (@list @t24 @t54 @t2 @t3) (or (not @t55) @t59 @t57))) % 19.08/19.30 (assume @p35 (forall @t10 (tptp.subclass @t60 @t52))) % 19.08/19.30 (assume @p36 (forall @t58 (or (not @t62) @t61))) % 19.08/19.30 (assume @p37 (forall (@list @t24 @t2 @t54 @t3) (or (not @t61) @t59 @t62))) % 19.08/19.30 (assume @p38 (forall @t63 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 19.08/19.30 (assume @p39 (forall (@list @t30) (= (tptp.domain_of (tptp.inverse @t30)) (tptp.range_of @t30)))) % 19.08/19.30 (assume @p40 (forall @t31 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t30 @t3 @t22) tptp.null_class)) (tptp.domain @t30 @t3 @t1)))) % 19.08/19.30 (assume @p41 (forall @t31 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t30 @t20 @t1) tptp.null_class)) (tptp.range @t30 @t3 @t1)))) % 19.08/19.30 (assume @p42 (forall (@list @t47 @t3) (= (tptp.range_of (tptp.restrict @t47 @t3 tptp.universal_class)) (tptp.image @t47 @t3)))) % 19.08/19.30 (assume @p43 (forall @t10 (= (tptp.union @t3 @t20) @t64))) % 19.08/19.30 (assume @p44 (tptp.subclass tptp.successor_relation @t32)) % 19.08/19.30 (assume @p45 (forall @t9 (or (not @t66) @t65))) % 19.08/19.30 (assume @p46 (forall @t9 (or (not @t65) @t35 @t66))) % 19.08/19.30 (assume @p47 (forall @t10 (or @t69 @t67))) % 19.08/19.30 (assume @p48 (forall @t10 (or @t69 @t70))) % 19.08/19.30 (assume @p49 (forall @t10 (or (not @t67) (not @t70) @t68))) % 19.08/19.30 (assume @p50 (tptp.inductive tptp.omega)) % 19.08/19.30 (assume @p51 (forall @t63 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 19.08/19.30 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 19.08/19.30 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t71))) % 19.08/19.30 (assume @p54 (forall @t10 (or @t18 (tptp.member @t71 tptp.universal_class)))) % 19.08/19.30 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t42)) (tptp.power_class @t3)))) % 19.08/19.30 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 19.08/19.30 (assume @p57 (forall (@list @t72 @t47) (tptp.subclass @t73 @t32))) % 19.08/19.30 (assume @p58 (forall (@list @t1 @t30 @t72 @t47) (or (not @t76) @t74))) % 19.08/19.30 (assume @p59 (forall (@list @t30 @t72 @t47 @t1) (or (not @t74) @t77 @t76))) % 19.08/19.30 (assume @p60 (forall @t10 (or (not @t81) @t80))) % 19.08/19.30 (assume @p61 (forall @t10 (or (not @t80) @t81))) % 19.08/19.30 (assume @p62 (forall @t86 (or @t85 @t83))) % 19.08/19.30 (assume @p63 (forall @t86 (or @t85 @t88))) % 19.08/19.30 (assume @p64 (forall @t86 (or (not @t83) (not @t88) @t84))) % 19.08/19.30 (assume @p65 (forall (@list @t82 @t3) (or @t85 @t18 (tptp.member (tptp.image @t82 @t3) tptp.universal_class)))) % 19.08/19.30 (assume @p66 @t91) % 19.08/19.30 (assume @p67 @t94) % 19.08/19.30 (assume @p68 (forall @t95 (= (tptp.sum_class (tptp.image @t82 @t22)) (tptp.apply @t82 @t1)))) % 19.08/19.30 (assume @p69 (tptp.function tptp.choice)) % 19.08/19.30 (assume @p70 (forall @t63 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 19.08/19.30 (assume @p71 (forall @t86 (or @t97 @t84))) % 19.08/19.30 (assume @p72 (forall @t86 (or @t97 @t98))) % 19.08/19.30 (assume @p73 (forall @t86 (or (not @t98) @t85 @t96))) % 19.08/19.30 (assume @p74 (= (tptp.intersection @t32 (tptp.intersection @t32 (tptp.complement (tptp.compose @t100 @t99)))) tptp.subset_relation)) % 19.08/19.30 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 19.08/19.30 (assume @p76 (forall (@list @t47) (= (tptp.complement (tptp.domain_of (tptp.intersection @t47 tptp.identity_relation))) (tptp.diagonalise @t47)))) % 19.08/19.30 (assume @p77 (forall @t10 (= (tptp.intersection @t49 (tptp.diagonalise (tptp.compose @t99 @t3))) (tptp.cantor @t3)))) % 19.08/19.30 (assume @p78 (forall @t86 (or @t102 @t84))) % 19.08/19.30 (assume @p79 (forall @t86 (or @t102 @t105))) % 19.08/19.30 (assume @p80 (forall @t86 (or @t102 @t107))) % 19.08/19.30 (assume @p81 (forall @t86 (or @t85 (not @t105) (not @t107) @t101))) % 19.08/19.30 (assume @p82 (forall @t114 (or @t113 @t109))) % 19.08/19.30 (assume @p83 (forall @t114 (or @t113 @t116))) % 19.08/19.30 (assume @p84 (forall @t114 (or @t113 @t117))) % 19.08/19.30 (assume @p85 (forall @t114 (or (not @t109) (not @t116) (not @t117) @t112))) % 19.08/19.30 (assume @p86 (forall @t114 (or @t120 @t118))) % 19.08/19.30 (assume @p87 (forall @t114 (or @t120 @t121))) % 19.08/19.30 (assume @p88 (forall @t114 (or @t120 @t112))) % 19.08/19.30 (assume @p89 (forall (@list @t108 @t111 @t110 @t3 @t1) (or @t120 (not (tptp.member @t21 @t115)) (= (tptp.apply @t110 (tptp.ordered_pair (tptp.apply @t108 @t3) (tptp.apply @t108 @t1))) (tptp.apply @t108 (tptp.apply @t111 @t21)))))) % 19.08/19.30 (assume @p90 (forall @t127 (or @t126 @t125 @t113 (tptp.member @t124 @t115) @t119))) % 19.08/19.30 (assume @p91 (forall @t127 (or @t126 @t125 @t113 (not (= (tptp.apply @t110 (tptp.ordered_pair (tptp.apply @t108 @t123) (tptp.apply @t108 @t122))) (tptp.apply @t108 (tptp.apply @t111 @t124)))) @t119))) % 19.08/19.30 (assume @p92 (forall @t10 (tptp.subclass @t128 @t32))) % 19.08/19.30 (assume @p93 (forall @t132 (or (not @t131) @t130))) % 19.08/19.30 (assume @p94 (forall @t132 (or @t77 (not @t130) @t131))) % 19.08/19.30 (assume @p95 (tptp.subclass tptp.composition_function @t133)) % 19.08/19.30 (assume @p96 (forall @t135 (or (not (tptp.member @t134 tptp.composition_function)) @t130))) % 19.08/19.30 (assume @p97 (forall @t9 (or @t35 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t129)) tptp.composition_function)))) % 19.08/19.30 (assume @p98 (tptp.subclass tptp.domain_relation @t32)) % 19.08/19.30 (assume @p99 (forall @t9 (or (not (tptp.member @t21 tptp.domain_relation)) (= @t49 @t1)))) % 19.08/19.30 (assume @p100 (forall @t10 (or @t18 (tptp.member (tptp.ordered_pair @t3 @t49) tptp.domain_relation)))) % 19.08/19.30 (assume @p101 (forall @t10 (= (tptp.first @t137) @t136))) % 19.08/19.30 (assume @p102 (forall @t10 (= (tptp.second @t137) @t138))) % 19.08/19.30 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t78 (tptp.singleton @t136)) @t138) (tptp.single_valued3 @t3)))) % 19.08/19.30 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 19.08/19.30 (assume @p105 (tptp.subclass tptp.application_function @t133)) % 19.08/19.30 (assume @p106 (forall @t135 (or @t140 @t139))) % 19.08/19.30 (assume @p107 (forall @t135 (or @t140 (= @t141 @t30)))) % 19.08/19.30 (assume @p108 (forall @t135 (or (not (tptp.member @t134 @t133)) (not @t139) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t141)) tptp.application_function)))) % 19.08/19.30 (assume @p109 (forall @t143 (or @t142 @t84))) % 19.08/19.30 (assume @p110 (forall @t143 (or @t142 (= @t103 @t3)))) % 19.08/19.30 (assume @p111 (forall @t143 (or @t142 @t144))) % 19.08/19.30 (assume @p112 (forall @t95 (or @t85 (not @t144) (tptp.maps @t82 @t103 @t1)))) % 19.08/19.30 (assume @p113 @t145) % 19.08/19.30 (step @p114 :rule instantiate :premises (@p9) :args ((@list tptp.universal_class tptp.universal_class))) % 19.08/19.30 (step @p115 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.universal_class tptp.universal_class))) % 19.08/19.30 (step @p116 :rule instantiate :premises (@p4) :args ((@list tptp.x))) % 19.08/19.30 (step @p117 :rule cnf_or_pos :args (@t150)) % 19.08/19.30 (step @p118 :rule reordering :premises (@p117) :args ((or @t147 @t146 @t149 (not @t150)))) % 19.08/19.30 (step @p119 :rule chain_m_resolution :premises (@p118 @p113 @p116 @p115) :args (@t146 @t151 (@list @t145 @t148 @t150))) % 19.08/19.30 (step @p120 :rule cnf_or_pos :args (@t155)) % 19.08/19.30 (step @p121 :rule reordering :premises (@p120) :args ((or @t154 @t153 (not @t155)))) % 19.08/19.30 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p114) :args (@t153 @t156 (@list @t146 @t155))) % 19.08/19.30 (step @p123 :rule refl :args (@t158)) % 19.08/19.30 (step @p124 :rule bool-double-not-elim :args (@t159)) % 19.08/19.30 (step @p125 :rule refl :args (@t160)) % 19.08/19.30 (step @p126 :rule nary_cong :premises (@p125 @p124 @p123) :args ((or @t160 @t162 @t158))) % 19.08/19.30 (assume-push @p366 @t161) % 19.08/19.30 (assume-push @p367 @t157) % 19.08/19.30 (assume-push @p368 @t153) % 19.08/19.30 (step @p130 :rule evaluate :args (@t163)) % 19.08/19.30 (step @p131 :rule false_intro :premises (@p366)) % 19.08/19.30 (step @p132 :rule symm :premises (@p367)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p134 :rule cong :premises (@p133 @p132) :args (@t153)) % 19.08/19.30 (step @p135 :rule true_intro :premises (@p122)) % 19.08/19.30 (step @p136 :rule symm :premises (@p135)) % 19.08/19.30 (step @p137 :rule trans :premises (@p136 @p134 @p131)) % 19.08/19.30 (step @p138 false :rule eq_resolve :premises (@p137 @p130)) % 19.08/19.30 (step-pop @p369 :rule scope :premises (@p138)) % 19.08/19.30 (step-pop @p370 :rule scope :premises (@p369)) % 19.08/19.30 (step-pop @p371 :rule scope :premises (@p370)) % 19.08/19.30 (step @p139 :rule process_scope :premises (@p371) :args (false)) % 19.08/19.30 (assume-push @p372 @t153) % 19.08/19.30 (assume-push @p373 @t161) % 19.08/19.30 (assume-push @p374 @t157) % 19.08/19.30 (step @p146 :rule and_intro :premises (@p373 @p374 @p122)) % 19.08/19.30 (step-pop @p375 :rule scope :premises (@p146)) % 19.08/19.30 (step-pop @p376 :rule scope :premises (@p375)) % 19.08/19.30 (step-pop @p377 :rule scope :premises (@p376)) % 19.08/19.30 (step @p147 :rule process_scope :premises (@p377) :args (@t164)) % 19.08/19.30 (step @p151 :rule implies_elim :premises (@p147)) % 19.08/19.30 (step @p152 :rule resolution :premises (@p151 @p139) :args (true @t164)) % 19.08/19.30 (step @p153 :rule not_and :premises (@p152)) % 19.08/19.30 (step @p154 :rule eq_resolve :premises (@p153 @p126)) % 19.08/19.30 (step @p155 :rule refl :args (@t166)) % 19.08/19.30 (step @p156 :rule eq-symm :args (@t152 tptp.null_class)) % 19.08/19.30 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t168)) % 19.08/19.30 (step @p158 :rule refl :args (@t91)) % 19.08/19.30 (step @p159 :rule cong :premises (@p158 @p157) :args ((=> @t91 @t168))) % 19.08/19.30 (assume-push @p378 @t91) % 19.08/19.30 (step @p161 :rule instantiate :premises (@p66) :args (@t169)) % 19.08/19.30 (step-pop @p379 :rule scope :premises (@p161)) % 19.08/19.30 (step @p162 :rule process_scope :premises (@p379) :args (@t168)) % 19.08/19.30 (step @p164 :rule eq_resolve :premises (@p162 @p159)) % 19.08/19.30 (step @p165 :rule implies_elim :premises (@p164)) % 19.08/19.30 (step @p166 :rule chain_m_resolution :premises (@p165 @p66) :args (@t170 @t171 (@list @t91))) % 19.08/19.30 (step @p167 :rule cnf_or_pos :args (@t170)) % 19.08/19.30 (step @p168 :rule reordering :premises (@p167) :args ((or @t166 @t157 (not @t170)))) % 19.08/19.30 (step @p169 :rule eq-symm :args (@t92 tptp.null_class)) % 19.08/19.30 (step @p170 :rule refl :args (@t90)) % 19.08/19.30 (step @p171 :rule nary_cong :premises (@p170 @p169) :args (@t93)) % 19.08/19.30 (step @p172 :rule cong :premises (@p171) :args (@t94)) % 19.08/19.30 (step @p173 :rule eq_resolve :premises (@p67 @p172)) % 19.08/19.30 (step @p174 :rule refl :args (@t172)) % 19.08/19.30 (step @p175 :rule nary_cong :premises (@p156 @p174) :args (@t173)) % 19.08/19.30 (step @p176 :rule refl :args (@t174)) % 19.08/19.30 (step @p177 :rule cong :premises (@p176 @p175) :args ((=> @t174 @t173))) % 19.08/19.30 (assume-push @p380 @t174) % 19.08/19.30 (step @p179 :rule instantiate :premises (@p173) :args (@t169)) % 19.08/19.30 (step-pop @p381 :rule scope :premises (@p179)) % 19.08/19.30 (step @p180 :rule process_scope :premises (@p381) :args (@t173)) % 19.08/19.30 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 19.08/19.30 (step @p183 :rule implies_elim :premises (@p182)) % 19.08/19.30 (step @p184 :rule chain_m_resolution :premises (@p183 @p173) :args (@t175 @t171 @t176)) % 19.08/19.30 (step @p185 :rule cnf_or_pos :args (@t175)) % 19.08/19.30 (step @p186 :rule reordering :premises (@p185) :args ((or @t157 @t172 (not @t175)))) % 19.08/19.30 (step @p187 :rule eq-symm :args (@t2 @t1)) % 19.08/19.30 (step @p188 :rule eq-symm :args (@t2 @t3)) % 19.08/19.30 (step @p189 :rule refl :args (@t15)) % 19.08/19.30 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t16)) % 19.08/19.30 (step @p191 :rule cong :premises (@p190) :args (@t17)) % 19.08/19.30 (step @p192 :rule eq_resolve :premises (@p8 @p191)) % 19.08/19.30 (step @p193 :rule instantiate :premises (@p192) :args ((@list @t165 tptp.universal_class tptp.universal_class))) % 19.08/19.30 (step @p194 :rule cnf_or_pos :args (@t179)) % 19.08/19.30 (step @p195 :rule factoring :premises (@p194)) % 19.08/19.30 (step @p196 :rule reordering :premises (@p195) :args ((or @t178 @t177 (not @t179)))) % 19.08/19.30 (step @p197 :rule instantiate :premises (@p23) :args ((@list tptp.universal_class @t152 tptp.universal_class))) % 19.08/19.30 (step @p198 :rule cnf_or_pos :args (@t182)) % 19.08/19.30 (step @p199 :rule reordering :premises (@p198) :args ((or @t154 @t160 @t181 (not @t182)))) % 19.08/19.30 (step @p200 :rule chain_m_resolution :premises (@p199 @p119 @p122 @p197) :args (@t181 @t151 (@list @t146 @t153 @t182))) % 19.08/19.30 (step @p201 :rule refl :args (@t183)) % 19.08/19.30 (step @p202 :rule refl :args (@t184)) % 19.08/19.30 (step @p203 :rule refl :args (@t185)) % 19.08/19.30 (step @p204 :rule nary_cong :premises (@p124 @p203 @p202 @p201) :args ((or @t162 @t185 @t184 @t183))) % 19.08/19.30 (assume-push @p382 @t161) % 19.08/19.30 (assume-push @p383 @t172) % 19.08/19.30 (assume-push @p384 @t177) % 19.08/19.30 (assume-push @p385 @t181) % 19.08/19.30 (step @p130 :rule evaluate :args (@t163)) % 19.08/19.30 (step @p209 :rule false_intro :premises (@p382)) % 19.08/19.30 (step @p210 :rule symm :premises (@p383)) % 19.08/19.30 (step @p211 :rule refl :args (@t152)) % 19.08/19.30 (step @p212 :rule cong :premises (@p211 @p384) :args (@t180)) % 19.08/19.30 (step @p213 :rule trans :premises (@p212 @p210)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p214 :rule cong :premises (@p133 @p213) :args (@t181)) % 19.08/19.30 (step @p215 :rule true_intro :premises (@p200)) % 19.08/19.30 (step @p216 :rule symm :premises (@p215)) % 19.08/19.30 (step @p217 :rule trans :premises (@p216 @p214 @p209)) % 19.08/19.30 (step @p218 false :rule eq_resolve :premises (@p217 @p130)) % 19.08/19.30 (step-pop @p386 :rule scope :premises (@p218)) % 19.08/19.30 (step-pop @p387 :rule scope :premises (@p386)) % 19.08/19.30 (step-pop @p388 :rule scope :premises (@p387)) % 19.08/19.30 (step-pop @p389 :rule scope :premises (@p388)) % 19.08/19.30 (step @p219 :rule process_scope :premises (@p389) :args (false)) % 19.08/19.30 (step @p224 :rule not_and :premises (@p219)) % 19.08/19.30 (step @p225 :rule eq_resolve :premises (@p224 @p204)) % 19.08/19.30 (step @p226 :rule chain_m_resolution :premises (@p225 @p200 @p196 @p193 @p186 @p184 @p168 @p166 @p154 @p122) :args (@t159 (@list false false false false false false false true false) (@list @t181 @t177 @t179 @t172 @t175 @t166 @t170 @t157 @t153))) % 19.08/19.30 (step @p227 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.element_relation))) % 19.08/19.30 (step @p228 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t100 @t186))) % 19.08/19.30 (step @p229 :rule cnf_or_pos :args (@t191)) % 19.08/19.30 (step @p230 :rule reordering :premises (@p229) :args ((or @t187 @t190 (not @t191)))) % 19.08/19.30 (step @p231 :rule bool-double-not-elim :args (@t189)) % 19.08/19.30 (step @p232 :rule refl :args (@t161)) % 19.08/19.30 (step @p233 :rule refl :args (@t193)) % 19.08/19.30 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args ((or @t193 @t161 (not @t190)))) % 19.08/19.30 (assume-push @p390 @t159) % 19.08/19.30 (assume-push @p391 @t192) % 19.08/19.30 (assume-push @p392 @t190) % 19.08/19.30 (step @p238 :rule evaluate :args (@t194)) % 19.08/19.30 (step @p239 :rule true_intro :premises (@p390)) % 19.08/19.30 (step @p240 :rule symm :premises (@p391)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p241 :rule cong :premises (@p133 @p240) :args (@t189)) % 19.08/19.30 (step @p242 :rule false_intro :premises (@p392)) % 19.08/19.30 (step @p243 :rule symm :premises (@p242)) % 19.08/19.30 (step @p244 :rule trans :premises (@p243 @p241 @p239)) % 19.08/19.30 (step @p245 false :rule eq_resolve :premises (@p244 @p238)) % 19.08/19.30 (step-pop @p393 :rule scope :premises (@p245)) % 19.08/19.30 (step-pop @p394 :rule scope :premises (@p393)) % 19.08/19.30 (step-pop @p395 :rule scope :premises (@p394)) % 19.08/19.30 (step @p246 :rule process_scope :premises (@p395) :args (false)) % 19.08/19.30 (assume-push @p396 @t192) % 19.08/19.30 (assume-push @p397 @t159) % 19.08/19.30 (assume-push @p398 @t190) % 19.08/19.30 (step @p253 :rule and_intro :premises (@p397 @p396 @p398)) % 19.08/19.30 (step-pop @p399 :rule scope :premises (@p253)) % 19.08/19.30 (step-pop @p400 :rule scope :premises (@p399)) % 19.08/19.30 (step-pop @p401 :rule scope :premises (@p400)) % 19.08/19.30 (step @p254 :rule process_scope :premises (@p401) :args (@t195)) % 19.08/19.30 (step @p258 :rule implies_elim :premises (@p254)) % 19.08/19.30 (step @p259 :rule resolution :premises (@p258 @p246) :args (true @t195)) % 19.08/19.30 (step @p260 :rule not_and :premises (@p259)) % 19.08/19.30 (step @p261 :rule eq_resolve :premises (@p260 @p234)) % 19.08/19.30 (step @p262 :rule refl :args (@t192)) % 19.08/19.30 (step @p263 :rule eq-symm :args (@t100 tptp.null_class)) % 19.08/19.30 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t196)) % 19.08/19.30 (step @p265 :rule cong :premises (@p176 @p264) :args ((=> @t174 @t196))) % 19.08/19.30 (assume-push @p402 @t174) % 19.08/19.30 (step @p267 :rule instantiate :premises (@p173) :args ((@list @t100))) % 19.08/19.30 (step-pop @p403 :rule scope :premises (@p267)) % 19.08/19.30 (step @p268 :rule process_scope :premises (@p403) :args (@t196)) % 19.08/19.30 (step @p270 :rule eq_resolve :premises (@p268 @p265)) % 19.08/19.30 (step @p271 :rule implies_elim :premises (@p270)) % 19.08/19.30 (step @p272 :rule chain_m_resolution :premises (@p271 @p173) :args (@t198 @t171 @t176)) % 19.08/19.30 (step @p273 :rule cnf_or_pos :args (@t198)) % 19.08/19.30 (step @p274 :rule reordering :premises (@p273) :args ((or @t197 @t192 (not @t198)))) % 19.08/19.30 (step @p275 :rule refl :args (@t199)) % 19.08/19.30 (step @p276 :rule bool-double-not-elim :args (@t187)) % 19.08/19.30 (step @p277 :rule nary_cong :premises (@p276 @p275 @p232) :args ((or (not @t200) @t199 @t161))) % 19.08/19.30 (assume-push @p404 @t159) % 19.08/19.30 (assume-push @p405 @t197) % 19.08/19.30 (assume-push @p406 @t200) % 19.08/19.30 (step @p238 :rule evaluate :args (@t194)) % 19.08/19.30 (step @p281 :rule true_intro :premises (@p404)) % 19.08/19.30 (step @p282 :rule symm :premises (@p405)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p283 :rule cong :premises (@p133 @p282) :args (@t187)) % 19.08/19.30 (step @p284 :rule false_intro :premises (@p406)) % 19.08/19.30 (step @p285 :rule symm :premises (@p284)) % 19.08/19.30 (step @p286 :rule trans :premises (@p285 @p283 @p281)) % 19.08/19.30 (step @p287 false :rule eq_resolve :premises (@p286 @p238)) % 19.08/19.30 (step-pop @p407 :rule scope :premises (@p287)) % 19.08/19.30 (step-pop @p408 :rule scope :premises (@p407)) % 19.08/19.30 (step-pop @p409 :rule scope :premises (@p408)) % 19.08/19.30 (step @p288 :rule process_scope :premises (@p409) :args (false)) % 19.08/19.30 (assume-push @p410 @t200) % 19.08/19.30 (assume-push @p411 @t197) % 19.08/19.30 (assume-push @p412 @t159) % 19.08/19.30 (step @p295 :rule and_intro :premises (@p412 @p411 @p410)) % 19.08/19.30 (step-pop @p413 :rule scope :premises (@p295)) % 19.08/19.30 (step-pop @p414 :rule scope :premises (@p413)) % 19.08/19.30 (step-pop @p415 :rule scope :premises (@p414)) % 19.08/19.30 (step @p296 :rule process_scope :premises (@p415) :args (@t201)) % 19.08/19.30 (step @p300 :rule implies_elim :premises (@p296)) % 19.08/19.30 (step @p301 :rule resolution :premises (@p300 @p288) :args (true @t201)) % 19.08/19.30 (step @p302 :rule not_and :premises (@p301)) % 19.08/19.30 (step @p303 :rule eq_resolve :premises (@p302 @p277)) % 19.08/19.30 (step @p304 :rule chain_m_resolution :premises (@p303 @p226 @p274 @p272 @p261 @p226 @p230 @p228) :args (@t187 (@list false false false true false true false) (@list @t159 @t197 @t198 @t192 @t159 @t189 @t191))) % 19.08/19.30 (step @p305 :rule cnf_or_pos :args (@t204)) % 19.08/19.30 (step @p306 :rule reordering :premises (@p305) :args ((or @t203 @t200 (not @t204)))) % 19.08/19.30 (step @p307 :rule chain_m_resolution :premises (@p306 @p304 @p227) :args (@t203 @t156 (@list @t187 @t204))) % 19.08/19.30 (step @p308 :rule instantiate :premises (@p173) :args ((@list tptp.element_relation))) % 19.08/19.30 (step @p309 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class tptp.element_relation @t205))) % 19.08/19.30 (step @p310 :rule cnf_or_pos :args (@t209)) % 19.08/19.30 (step @p311 :rule reordering :premises (@p310) :args ((or @t202 @t208 (not @t209)))) % 19.08/19.30 (step @p312 :rule chain_m_resolution :premises (@p311 @p307 @p309) :args (@t208 @t210 (@list @t202 @t209))) % 19.08/19.30 (step @p313 :rule bool-double-not-elim :args (@t207)) % 19.08/19.30 (step @p314 :rule refl :args (@t212)) % 19.08/19.30 (step @p315 :rule nary_cong :premises (@p314 @p232 @p313) :args ((or @t212 @t161 (not @t208)))) % 19.08/19.30 (assume-push @p416 @t159) % 19.08/19.30 (assume-push @p417 @t211) % 19.08/19.30 (assume-push @p418 @t208) % 19.08/19.30 (step @p238 :rule evaluate :args (@t194)) % 19.08/19.30 (step @p319 :rule true_intro :premises (@p416)) % 19.08/19.30 (step @p320 :rule symm :premises (@p417)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p321 :rule cong :premises (@p133 @p320) :args (@t207)) % 19.08/19.30 (step @p322 :rule false_intro :premises (@p418)) % 19.08/19.30 (step @p323 :rule symm :premises (@p322)) % 19.08/19.30 (step @p324 :rule trans :premises (@p323 @p321 @p319)) % 19.08/19.30 (step @p325 false :rule eq_resolve :premises (@p324 @p238)) % 19.08/19.30 (step-pop @p419 :rule scope :premises (@p325)) % 19.08/19.30 (step-pop @p420 :rule scope :premises (@p419)) % 19.08/19.30 (step-pop @p421 :rule scope :premises (@p420)) % 19.08/19.30 (step @p326 :rule process_scope :premises (@p421) :args (false)) % 19.08/19.30 (assume-push @p422 @t211) % 19.08/19.30 (assume-push @p423 @t159) % 19.08/19.30 (assume-push @p424 @t208) % 19.08/19.30 (step @p333 :rule and_intro :premises (@p423 @p422 @p424)) % 19.08/19.30 (step-pop @p425 :rule scope :premises (@p333)) % 19.08/19.30 (step-pop @p426 :rule scope :premises (@p425)) % 19.08/19.30 (step-pop @p427 :rule scope :premises (@p426)) % 19.08/19.30 (step @p334 :rule process_scope :premises (@p427) :args (@t213)) % 19.08/19.30 (step @p338 :rule implies_elim :premises (@p334)) % 19.08/19.30 (step @p339 :rule resolution :premises (@p338 @p326) :args (true @t213)) % 19.08/19.30 (step @p340 :rule not_and :premises (@p339)) % 19.08/19.30 (step @p341 :rule eq_resolve :premises (@p340 @p315)) % 19.08/19.30 (step @p342 :rule chain_m_resolution :premises (@p341 @p226 @p312) :args (@t212 (@list false true) (@list @t159 @t207))) % 19.08/19.30 (step @p343 :rule cnf_or_pos :args (@t215)) % 19.08/19.30 (step @p344 :rule reordering :premises (@p343) :args ((or @t214 @t211 (not @t215)))) % 19.08/19.30 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p308) :args (@t214 @t210 (@list @t211 @t215))) % 19.08/19.30 (step @p346 :rule refl :args (@t216)) % 19.08/19.30 (step @p347 :rule bool-double-not-elim :args (@t202)) % 19.08/19.30 (step @p348 :rule nary_cong :premises (@p347 @p346 @p232) :args ((or (not @t203) @t216 @t161))) % 19.08/19.30 (assume-push @p428 @t203) % 19.08/19.30 (assume-push @p429 @t214) % 19.08/19.30 (assume-push @p430 @t159) % 19.08/19.30 (step @p130 :rule evaluate :args (@t163)) % 19.08/19.30 (step @p352 :rule false_intro :premises (@p428)) % 19.08/19.30 (step @p353 :rule symm :premises (@p429)) % 19.08/19.30 (step @p133 :rule refl :args (tptp.universal_class)) % 19.08/19.30 (step @p354 :rule cong :premises (@p133 @p353) :args (@t159)) % 19.08/19.30 (step @p355 :rule true_intro :premises (@p430)) % 19.08/19.30 (step @p356 :rule symm :premises (@p355)) % 19.08/19.30 (step @p357 :rule trans :premises (@p356 @p354 @p352)) % 19.08/19.30 (step @p358 false :rule eq_resolve :premises (@p357 @p130)) % 19.08/19.30 (step-pop @p431 :rule scope :premises (@p358)) % 19.08/19.30 (step-pop @p432 :rule scope :premises (@p431)) % 19.08/19.30 (step-pop @p433 :rule scope :premises (@p432)) % 19.08/19.30 (step @p359 :rule process_scope :premises (@p433) :args (false)) % 19.08/19.30 (step @p363 :rule not_and :premises (@p359)) % 19.08/19.30 (step @p364 :rule eq_resolve :premises (@p363 @p348)) % 19.08/19.30 (step @p365 false :rule chain_m_resolution :premises (@p364 @p345 @p307 @p226) :args (false (@list false true false) (@list @t214 @t202 @t159))) % 19.08/19.30 ) % 19.08/19.31 % SZS output end Proof % 19.08/19.31 % cvc5 exiting %------------------------------------------------------------------------------