%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET510-6 : 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 : n002.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 17.73s 17.98s % Output : Proof 17.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET510-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.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 15:54:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----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... % 15.63/15.84 --- Run --no-e-matching --full-saturate-quant at 6... % 17.73/17.98 % SZS status Unsatisfiable % 17.73/17.98 % SZS output start Proof % 17.73/17.99 ( % 17.73/17.99 (declare-sort $$unsorted 0) % 17.73/17.99 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.application_function $$unsorted) % 17.73/17.99 (declare-const tptp.singleton_relation $$unsorted) % 17.73/17.99 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.operation (-> $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.function (-> $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.element_relation $$unsorted) % 17.73/17.99 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.universal_class $$unsorted) % 17.73/17.99 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.successor_relation $$unsorted) % 17.73/17.99 (declare-const tptp.choice $$unsorted) % 17.73/17.99 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.subset_relation $$unsorted) % 17.73/17.99 (declare-const tptp.null_class $$unsorted) % 17.73/17.99 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.omega $$unsorted) % 17.73/17.99 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.73/17.99 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.composition_function $$unsorted) % 17.73/17.99 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.identity_relation $$unsorted) % 17.73/17.99 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.domain_relation $$unsorted) % 17.73/17.99 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 17.73/17.99 (declare-const tptp.inductive (-> $$unsorted Bool)) % 17.73/17.99 (define @t1 () (@var "Y" $$unsorted)) % 17.73/17.99 (define @t2 () (@var "U" $$unsorted)) % 17.73/17.99 (define @t3 () (@var "X" $$unsorted)) % 17.73/17.99 (define @t4 () (tptp.member @t2 @t3)) % 17.73/17.99 (define @t5 () (not @t4)) % 17.73/17.99 (define @t6 () (tptp.subclass @t3 @t1)) % 17.73/17.99 (define @t7 () (not @t6)) % 17.73/17.99 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 17.73/17.99 (define @t9 () (@list @t3 @t1)) % 17.73/17.99 (define @t10 () (@list @t3)) % 17.73/17.99 (define @t11 () (= @t3 @t1)) % 17.73/17.99 (define @t12 () (not @t11)) % 17.73/17.99 (define @t13 () (tptp.subclass @t1 @t3)) % 17.73/17.99 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 17.73/17.99 (define @t15 () (not (tptp.member @t2 @t14))) % 17.73/17.99 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 17.73/17.99 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 17.73/17.99 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 17.73/17.99 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 17.73/17.99 (define @t20 () (tptp.singleton @t3)) % 17.73/17.99 (define @t21 () (tptp.ordered_pair @t3 @t1)) % 17.73/17.99 (define @t22 () (tptp.singleton @t1)) % 17.73/17.99 (define @t23 () (tptp.cross_product @t3 @t1)) % 17.73/17.99 (define @t24 () (@var "V" $$unsorted)) % 17.73/17.99 (define @t25 () (tptp.ordered_pair @t2 @t24)) % 17.73/17.99 (define @t26 () (tptp.member @t25 @t23)) % 17.73/17.99 (define @t27 () (not @t26)) % 17.73/17.99 (define @t28 () (@list @t2 @t24 @t3 @t1)) % 17.73/17.99 (define @t29 () (tptp.member @t24 @t1)) % 17.73/17.99 (define @t30 () (@var "Z" $$unsorted)) % 17.73/17.99 (define @t31 () (@list @t30 @t3 @t1)) % 17.73/17.99 (define @t32 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 17.73/17.99 (define @t33 () (tptp.member @t3 @t1)) % 17.73/17.99 (define @t34 () (tptp.member @t21 tptp.element_relation)) % 17.73/17.99 (define @t35 () (not (tptp.member @t21 @t32))) % 17.73/17.99 (define @t36 () (tptp.member @t30 @t3)) % 17.73/17.99 (define @t37 () (tptp.intersection @t3 @t1)) % 17.73/17.99 (define @t38 () (tptp.member @t30 @t37)) % 17.73/17.99 (define @t39 () (not @t38)) % 17.73/17.99 (define @t40 () (tptp.member @t30 @t1)) % 17.73/17.99 (define @t41 () (not @t36)) % 17.73/17.99 (define @t42 () (tptp.complement @t3)) % 17.73/17.99 (define @t43 () (tptp.member @t30 @t42)) % 17.73/17.99 (define @t44 () (@list @t30 @t3)) % 17.73/17.99 (define @t45 () (not (tptp.member @t30 tptp.universal_class))) % 17.73/17.99 (define @t46 () (tptp.complement (tptp.intersection @t42 (tptp.complement @t1)))) % 17.73/17.99 (define @t47 () (@var "Xr" $$unsorted)) % 17.73/17.99 (define @t48 () (tptp.restrict @t47 @t3 @t1)) % 17.73/17.99 (define @t49 () (tptp.domain_of @t3)) % 17.73/17.99 (define @t50 () (tptp.member @t30 @t49)) % 17.73/17.99 (define @t51 () (= (tptp.restrict @t3 (tptp.singleton @t30) tptp.universal_class) tptp.null_class)) % 17.73/17.99 (define @t52 () (tptp.cross_product @t32 tptp.universal_class)) % 17.73/17.99 (define @t53 () (tptp.rotate @t3)) % 17.73/17.99 (define @t54 () (@var "W" $$unsorted)) % 17.73/17.99 (define @t55 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t54) @t2) @t3)) % 17.73/17.99 (define @t56 () (tptp.ordered_pair @t25 @t54)) % 17.73/17.99 (define @t57 () (tptp.member @t56 @t53)) % 17.73/17.99 (define @t58 () (@list @t2 @t24 @t54 @t3)) % 17.73/17.99 (define @t59 () (not (tptp.member @t56 @t52))) % 17.73/17.99 (define @t60 () (tptp.flip @t3)) % 17.73/17.99 (define @t61 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t2) @t54) @t3)) % 17.73/17.99 (define @t62 () (tptp.member @t56 @t60)) % 17.73/17.99 (define @t63 () (@list @t1)) % 17.73/17.99 (define @t64 () (tptp.successor @t3)) % 17.73/17.99 (define @t65 () (= @t64 @t1)) % 17.73/17.99 (define @t66 () (tptp.member @t21 tptp.successor_relation)) % 17.73/17.99 (define @t67 () (tptp.member tptp.null_class @t3)) % 17.73/17.99 (define @t68 () (tptp.inductive @t3)) % 17.73/17.99 (define @t69 () (not @t68)) % 17.73/17.99 (define @t70 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 17.73/17.99 (define @t71 () (tptp.sum_class @t3)) % 17.73/17.99 (define @t72 () (@var "Yr" $$unsorted)) % 17.73/17.99 (define @t73 () (tptp.compose @t72 @t47)) % 17.73/17.99 (define @t74 () (tptp.member @t30 (tptp.image @t72 (tptp.image @t47 @t22)))) % 17.73/17.99 (define @t75 () (tptp.ordered_pair @t1 @t30)) % 17.73/17.99 (define @t76 () (tptp.member @t75 @t73)) % 17.73/17.99 (define @t77 () (not (tptp.member @t75 @t32))) % 17.73/17.99 (define @t78 () (tptp.inverse @t3)) % 17.73/17.99 (define @t79 () (tptp.compose @t3 @t78)) % 17.73/17.99 (define @t80 () (tptp.subclass @t79 tptp.identity_relation)) % 17.73/17.99 (define @t81 () (tptp.single_valued_class @t3)) % 17.73/17.99 (define @t82 () (@var "Xf" $$unsorted)) % 17.73/17.99 (define @t83 () (tptp.subclass @t82 @t32)) % 17.73/17.99 (define @t84 () (tptp.function @t82)) % 17.73/17.99 (define @t85 () (not @t84)) % 17.73/17.99 (define @t86 () (@list @t82)) % 17.73/17.99 (define @t87 () (tptp.inverse @t82)) % 17.73/17.99 (define @t88 () (tptp.subclass (tptp.compose @t82 @t87) tptp.identity_relation)) % 17.73/17.99 (define @t89 () (tptp.regular @t3)) % 17.73/17.99 (define @t90 () (= @t3 tptp.null_class)) % 17.73/17.99 (define @t91 () (forall @t10 (or @t90 (tptp.member @t89 @t3)))) % 17.73/17.99 (define @t92 () (tptp.intersection @t3 @t89)) % 17.73/17.99 (define @t93 () (or @t90 (= @t92 tptp.null_class))) % 17.73/17.99 (define @t94 () (forall @t10 @t93)) % 17.73/17.99 (define @t95 () (@list @t82 @t1)) % 17.73/17.99 (define @t96 () (tptp.one_to_one @t82)) % 17.73/17.99 (define @t97 () (not @t96)) % 17.73/17.99 (define @t98 () (tptp.function @t87)) % 17.73/17.99 (define @t99 () (tptp.inverse tptp.element_relation)) % 17.73/17.99 (define @t100 () (tptp.complement tptp.element_relation)) % 17.73/17.99 (define @t101 () (tptp.operation @t82)) % 17.73/17.99 (define @t102 () (not @t101)) % 17.73/17.99 (define @t103 () (tptp.domain_of @t82)) % 17.73/17.99 (define @t104 () (tptp.domain_of @t103)) % 17.73/17.99 (define @t105 () (= (tptp.cross_product @t104 @t104) @t103)) % 17.73/17.99 (define @t106 () (tptp.range_of @t82)) % 17.73/17.99 (define @t107 () (tptp.subclass @t106 @t104)) % 17.73/17.99 (define @t108 () (@var "Xh" $$unsorted)) % 17.73/17.99 (define @t109 () (tptp.function @t108)) % 17.73/17.99 (define @t110 () (@var "Xf2" $$unsorted)) % 17.73/17.99 (define @t111 () (@var "Xf1" $$unsorted)) % 17.73/17.99 (define @t112 () (tptp.compatible @t108 @t111 @t110)) % 17.73/17.99 (define @t113 () (not @t112)) % 17.73/17.99 (define @t114 () (@list @t108 @t111 @t110)) % 17.73/17.99 (define @t115 () (tptp.domain_of @t111)) % 17.73/17.99 (define @t116 () (= (tptp.domain_of @t115) (tptp.domain_of @t108))) % 17.73/17.99 (define @t117 () (tptp.subclass (tptp.range_of @t108) (tptp.domain_of (tptp.domain_of @t110)))) % 17.73/17.99 (define @t118 () (tptp.operation @t111)) % 17.73/17.99 (define @t119 () (tptp.homomorphism @t108 @t111 @t110)) % 17.73/17.99 (define @t120 () (not @t119)) % 17.73/17.99 (define @t121 () (tptp.operation @t110)) % 17.73/17.99 (define @t122 () (tptp.not_homomorphism2 @t108 @t111 @t110)) % 17.73/17.99 (define @t123 () (tptp.not_homomorphism1 @t108 @t111 @t110)) % 17.73/17.99 (define @t124 () (tptp.ordered_pair @t123 @t122)) % 17.73/17.99 (define @t125 () (not @t121)) % 17.73/17.99 (define @t126 () (not @t118)) % 17.73/17.99 (define @t127 () (@list @t111 @t110 @t108)) % 17.73/17.99 (define @t128 () (tptp.compose_class @t3)) % 17.73/17.99 (define @t129 () (tptp.compose @t3 @t1)) % 17.73/17.99 (define @t130 () (= @t129 @t30)) % 17.73/17.99 (define @t131 () (tptp.member @t75 @t128)) % 17.73/17.99 (define @t132 () (@list @t1 @t30 @t3)) % 17.73/17.99 (define @t133 () (tptp.cross_product tptp.universal_class @t32)) % 17.73/17.99 (define @t134 () (tptp.ordered_pair @t3 @t75)) % 17.73/17.99 (define @t135 () (@list @t3 @t1 @t30)) % 17.73/17.99 (define @t136 () (tptp.single_valued1 @t3)) % 17.73/17.99 (define @t137 () (tptp.not_subclass_element @t79 tptp.identity_relation)) % 17.73/17.99 (define @t138 () (tptp.single_valued2 @t3)) % 17.73/17.99 (define @t139 () (tptp.member @t1 @t49)) % 17.73/17.99 (define @t140 () (not (tptp.member @t134 tptp.application_function))) % 17.73/17.99 (define @t141 () (tptp.apply @t3 @t1)) % 17.73/17.99 (define @t142 () (not (tptp.maps @t82 @t3 @t1))) % 17.73/17.99 (define @t143 () (@list @t82 @t3 @t1)) % 17.73/17.99 (define @t144 () (tptp.subclass @t106 @t1)) % 17.73/17.99 (define @t145 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 17.73/17.99 (define @t146 () (tptp.regular @t145)) % 17.73/17.99 (define @t147 () (tptp.intersection @t145 @t146)) % 17.73/17.99 (define @t148 () (= tptp.null_class @t147)) % 17.73/17.99 (define @t149 () (= @t145 tptp.null_class)) % 17.73/17.99 (define @t150 () (or @t149 @t148)) % 17.73/17.99 (define @t151 () (forall @t10 (or @t90 (= tptp.null_class @t92)))) % 17.73/17.99 (define @t152 () (@list @t145)) % 17.73/17.99 (define @t153 () (= tptp.null_class @t145)) % 17.73/17.99 (define @t154 () (or @t153 @t148)) % 17.73/17.99 (define @t155 () (@list false)) % 17.73/17.99 (define @t156 () (@list @t151)) % 17.73/17.99 (define @t157 () (@list true false)) % 17.73/17.99 (define @t158 () (tptp.member @t146 @t145)) % 17.73/17.99 (define @t159 () (or @t149 @t158)) % 17.73/17.99 (define @t160 () (or @t153 @t158)) % 17.73/17.99 (define @t161 () (= tptp.universal_class @t146)) % 17.73/17.99 (define @t162 () (not @t158)) % 17.73/17.99 (define @t163 () (or @t162 @t161 @t161)) % 17.73/17.99 (define @t164 () (@list false false)) % 17.73/17.99 (define @t165 () (tptp.member tptp.universal_class @t145)) % 17.73/17.99 (define @t166 () (tptp.member tptp.universal_class tptp.universal_class)) % 17.73/17.99 (define @t167 () (not @t165)) % 17.73/17.99 (define @t168 () (tptp.subclass @t145 tptp.universal_class)) % 17.73/17.99 (define @t169 () (not @t168)) % 17.73/17.99 (define @t170 () (or @t169 @t167 @t166)) % 17.73/17.99 (define @t171 () (@list false false false)) % 17.73/17.99 (define @t172 () (tptp.member tptp.universal_class (tptp.intersection @t145 tptp.universal_class))) % 17.73/17.99 (define @t173 () (not @t166)) % 17.73/17.99 (define @t174 () (or @t167 @t173 @t172)) % 17.73/17.99 (define @t175 () (tptp.member tptp.universal_class tptp.null_class)) % 17.73/17.99 (define @t176 () (@list tptp.null_class tptp.element_relation)) % 17.73/17.99 (define @t177 () (tptp.subclass tptp.null_class tptp.element_relation)) % 17.73/17.99 (define @t178 () (tptp.not_subclass_element tptp.null_class tptp.element_relation)) % 17.73/17.99 (define @t179 () (tptp.member @t178 tptp.null_class)) % 17.73/17.99 (define @t180 () (or @t179 @t177)) % 17.73/17.99 (define @t181 () (tptp.member @t178 tptp.element_relation)) % 17.73/17.99 (define @t182 () (not @t181)) % 17.73/17.99 (define @t183 () (or @t182 @t177)) % 17.73/17.99 (define @t184 () (tptp.regular tptp.element_relation)) % 17.73/17.99 (define @t185 () (tptp.intersection tptp.element_relation @t184)) % 17.73/17.99 (define @t186 () (tptp.member @t178 @t185)) % 17.73/17.99 (define @t187 () (not @t186)) % 17.73/17.99 (define @t188 () (or @t187 @t181)) % 17.73/17.99 (define @t189 () (= tptp.null_class @t185)) % 17.73/17.99 (define @t190 () (and @t189 @t179)) % 17.73/17.99 (define @t191 () (= tptp.element_relation tptp.null_class)) % 17.73/17.99 (define @t192 () (or @t191 @t189)) % 17.73/17.99 (define @t193 () (not @t179)) % 17.73/17.99 (define @t194 () (not @t191)) % 17.73/17.99 (define @t195 () (= false true)) % 17.73/17.99 (define @t196 () (and @t179 @t191 @t182)) % 17.73/17.99 (define @t197 () (tptp.member tptp.universal_class tptp.element_relation)) % 17.73/17.99 (define @t198 () (not @t175)) % 17.73/17.99 (define @t199 () (not @t177)) % 17.73/17.99 (define @t200 () (or @t199 @t198 @t197)) % 17.73/17.99 (define @t201 () (not @t197)) % 17.73/17.99 (define @t202 () (tptp.member tptp.universal_class @t100)) % 17.73/17.99 (define @t203 () (not @t202)) % 17.73/17.99 (define @t204 () (or @t203 @t201)) % 17.73/17.99 (define @t205 () (tptp.regular @t100)) % 17.73/17.99 (define @t206 () (tptp.intersection @t100 @t205)) % 17.73/17.99 (define @t207 () (= tptp.null_class @t206)) % 17.73/17.99 (define @t208 () (or (= @t100 tptp.null_class) @t207)) % 17.73/17.99 (define @t209 () (= tptp.null_class @t100)) % 17.73/17.99 (define @t210 () (or @t209 @t207)) % 17.73/17.99 (define @t211 () (tptp.member tptp.universal_class @t206)) % 17.73/17.99 (define @t212 () (not @t211)) % 17.73/17.99 (define @t213 () (or @t212 @t202)) % 17.73/17.99 (define @t214 () (not @t172)) % 17.73/17.99 (define @t215 () (not @t161)) % 17.73/17.99 (define @t216 () (not @t148)) % 17.73/17.99 (define @t217 () (not @t207)) % 17.73/17.99 (define @t218 () (and @t172 @t161 @t148 @t207 @t212)) % 17.73/17.99 (define @t219 () (not @t209)) % 17.73/17.99 (define @t220 () (and @t172 @t161 @t148 @t209 @t203)) % 17.73/17.99 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 17.73/17.99 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 17.73/17.99 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 17.73/17.99 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 17.73/17.99 (assume @p5 (forall @t9 (or @t12 @t6))) % 17.73/17.99 (assume @p6 (forall @t9 (or @t12 @t13))) % 17.73/17.99 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 17.73/17.99 (assume @p8 @t17) % 17.73/17.99 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 17.73/17.99 (assume @p10 (forall (@list @t1 @t3) (or @t19 (tptp.member @t1 @t14)))) % 17.73/17.99 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 17.73/17.99 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t20))) % 17.73/17.99 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t20 (tptp.unordered_pair @t3 @t22)) @t21))) % 17.73/17.99 (assume @p14 (forall @t28 (or @t27 @t4))) % 17.73/17.99 (assume @p15 (forall @t28 (or @t27 @t29))) % 17.73/17.99 (assume @p16 (forall (@list @t2 @t3 @t24 @t1) (or @t5 (not @t29) @t26))) % 17.73/17.99 (assume @p17 (forall @t31 (or (not (tptp.member @t30 @t23)) (= (tptp.ordered_pair (tptp.first @t30) (tptp.second @t30)) @t30)))) % 17.73/17.99 (assume @p18 (tptp.subclass tptp.element_relation @t32)) % 17.73/17.99 (assume @p19 (forall @t9 (or (not @t34) @t33))) % 17.73/17.99 (assume @p20 (forall @t9 (or @t35 (not @t33) @t34))) % 17.73/17.99 (assume @p21 (forall @t31 (or @t39 @t36))) % 17.73/17.99 (assume @p22 (forall @t31 (or @t39 @t40))) % 17.73/17.99 (assume @p23 (forall @t31 (or @t41 (not @t40) @t38))) % 17.73/17.99 (assume @p24 (forall @t44 (or (not @t43) @t41))) % 17.73/17.99 (assume @p25 (forall @t44 (or @t45 @t43 @t36))) % 17.73/17.99 (assume @p26 (forall @t9 (= @t46 (tptp.union @t3 @t1)))) % 17.73/17.99 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t37) @t46) (tptp.symmetric_difference @t3 @t1)))) % 17.73/17.99 (assume @p28 (forall (@list @t47 @t3 @t1) (= (tptp.intersection @t47 @t23) @t48))) % 17.73/17.99 (assume @p29 (forall (@list @t3 @t1 @t47) (= (tptp.intersection @t23 @t47) @t48))) % 17.73/17.99 (assume @p30 (forall (@list @t3 @t30) (or (not @t51) (not @t50)))) % 17.73/17.99 (assume @p31 (forall @t44 (or @t45 @t51 @t50))) % 17.73/17.99 (assume @p32 (forall @t10 (tptp.subclass @t53 @t52))) % 17.73/17.99 (assume @p33 (forall @t58 (or (not @t57) @t55))) % 17.73/17.99 (assume @p34 (forall (@list @t24 @t54 @t2 @t3) (or (not @t55) @t59 @t57))) % 17.73/17.99 (assume @p35 (forall @t10 (tptp.subclass @t60 @t52))) % 17.73/17.99 (assume @p36 (forall @t58 (or (not @t62) @t61))) % 17.73/17.99 (assume @p37 (forall (@list @t24 @t2 @t54 @t3) (or (not @t61) @t59 @t62))) % 17.73/17.99 (assume @p38 (forall @t63 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 17.73/17.99 (assume @p39 (forall (@list @t30) (= (tptp.domain_of (tptp.inverse @t30)) (tptp.range_of @t30)))) % 17.73/17.99 (assume @p40 (forall @t31 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t30 @t3 @t22) tptp.null_class)) (tptp.domain @t30 @t3 @t1)))) % 17.73/17.99 (assume @p41 (forall @t31 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t30 @t20 @t1) tptp.null_class)) (tptp.range @t30 @t3 @t1)))) % 17.73/17.99 (assume @p42 (forall (@list @t47 @t3) (= (tptp.range_of (tptp.restrict @t47 @t3 tptp.universal_class)) (tptp.image @t47 @t3)))) % 17.73/17.99 (assume @p43 (forall @t10 (= (tptp.union @t3 @t20) @t64))) % 17.73/17.99 (assume @p44 (tptp.subclass tptp.successor_relation @t32)) % 17.73/17.99 (assume @p45 (forall @t9 (or (not @t66) @t65))) % 17.73/17.99 (assume @p46 (forall @t9 (or (not @t65) @t35 @t66))) % 17.73/17.99 (assume @p47 (forall @t10 (or @t69 @t67))) % 17.73/17.99 (assume @p48 (forall @t10 (or @t69 @t70))) % 17.73/17.99 (assume @p49 (forall @t10 (or (not @t67) (not @t70) @t68))) % 17.73/17.99 (assume @p50 (tptp.inductive tptp.omega)) % 17.73/17.99 (assume @p51 (forall @t63 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 17.73/17.99 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 17.73/17.99 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t71))) % 17.73/17.99 (assume @p54 (forall @t10 (or @t18 (tptp.member @t71 tptp.universal_class)))) % 17.73/17.99 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t42)) (tptp.power_class @t3)))) % 17.73/17.99 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 17.73/17.99 (assume @p57 (forall (@list @t72 @t47) (tptp.subclass @t73 @t32))) % 17.73/17.99 (assume @p58 (forall (@list @t1 @t30 @t72 @t47) (or (not @t76) @t74))) % 17.73/17.99 (assume @p59 (forall (@list @t30 @t72 @t47 @t1) (or (not @t74) @t77 @t76))) % 17.73/17.99 (assume @p60 (forall @t10 (or (not @t81) @t80))) % 17.73/17.99 (assume @p61 (forall @t10 (or (not @t80) @t81))) % 17.73/17.99 (assume @p62 (forall @t86 (or @t85 @t83))) % 17.73/17.99 (assume @p63 (forall @t86 (or @t85 @t88))) % 17.73/17.99 (assume @p64 (forall @t86 (or (not @t83) (not @t88) @t84))) % 17.73/17.99 (assume @p65 (forall (@list @t82 @t3) (or @t85 @t18 (tptp.member (tptp.image @t82 @t3) tptp.universal_class)))) % 17.73/17.99 (assume @p66 @t91) % 17.73/17.99 (assume @p67 @t94) % 17.73/17.99 (assume @p68 (forall @t95 (= (tptp.sum_class (tptp.image @t82 @t22)) (tptp.apply @t82 @t1)))) % 17.73/17.99 (assume @p69 (tptp.function tptp.choice)) % 17.73/17.99 (assume @p70 (forall @t63 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 17.73/17.99 (assume @p71 (forall @t86 (or @t97 @t84))) % 17.73/17.99 (assume @p72 (forall @t86 (or @t97 @t98))) % 17.73/17.99 (assume @p73 (forall @t86 (or (not @t98) @t85 @t96))) % 17.73/17.99 (assume @p74 (= (tptp.intersection @t32 (tptp.intersection @t32 (tptp.complement (tptp.compose @t100 @t99)))) tptp.subset_relation)) % 17.73/17.99 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 17.73/17.99 (assume @p76 (forall (@list @t47) (= (tptp.complement (tptp.domain_of (tptp.intersection @t47 tptp.identity_relation))) (tptp.diagonalise @t47)))) % 17.73/17.99 (assume @p77 (forall @t10 (= (tptp.intersection @t49 (tptp.diagonalise (tptp.compose @t99 @t3))) (tptp.cantor @t3)))) % 17.73/17.99 (assume @p78 (forall @t86 (or @t102 @t84))) % 17.73/17.99 (assume @p79 (forall @t86 (or @t102 @t105))) % 17.73/17.99 (assume @p80 (forall @t86 (or @t102 @t107))) % 17.73/17.99 (assume @p81 (forall @t86 (or @t85 (not @t105) (not @t107) @t101))) % 17.73/17.99 (assume @p82 (forall @t114 (or @t113 @t109))) % 17.73/17.99 (assume @p83 (forall @t114 (or @t113 @t116))) % 17.73/17.99 (assume @p84 (forall @t114 (or @t113 @t117))) % 17.73/17.99 (assume @p85 (forall @t114 (or (not @t109) (not @t116) (not @t117) @t112))) % 17.73/17.99 (assume @p86 (forall @t114 (or @t120 @t118))) % 17.73/17.99 (assume @p87 (forall @t114 (or @t120 @t121))) % 17.73/17.99 (assume @p88 (forall @t114 (or @t120 @t112))) % 17.73/17.99 (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)))))) % 17.73/17.99 (assume @p90 (forall @t127 (or @t126 @t125 @t113 (tptp.member @t124 @t115) @t119))) % 17.73/17.99 (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))) % 17.73/17.99 (assume @p92 (forall @t10 (tptp.subclass @t128 @t32))) % 17.73/17.99 (assume @p93 (forall @t132 (or (not @t131) @t130))) % 17.73/17.99 (assume @p94 (forall @t132 (or @t77 (not @t130) @t131))) % 17.73/17.99 (assume @p95 (tptp.subclass tptp.composition_function @t133)) % 17.73/17.99 (assume @p96 (forall @t135 (or (not (tptp.member @t134 tptp.composition_function)) @t130))) % 17.73/17.99 (assume @p97 (forall @t9 (or @t35 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t129)) tptp.composition_function)))) % 17.73/17.99 (assume @p98 (tptp.subclass tptp.domain_relation @t32)) % 17.73/17.99 (assume @p99 (forall @t9 (or (not (tptp.member @t21 tptp.domain_relation)) (= @t49 @t1)))) % 17.73/17.99 (assume @p100 (forall @t10 (or @t18 (tptp.member (tptp.ordered_pair @t3 @t49) tptp.domain_relation)))) % 17.73/17.99 (assume @p101 (forall @t10 (= (tptp.first @t137) @t136))) % 17.73/17.99 (assume @p102 (forall @t10 (= (tptp.second @t137) @t138))) % 17.73/17.99 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t78 (tptp.singleton @t136)) @t138) (tptp.single_valued3 @t3)))) % 17.73/17.99 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 17.73/17.99 (assume @p105 (tptp.subclass tptp.application_function @t133)) % 17.73/17.99 (assume @p106 (forall @t135 (or @t140 @t139))) % 17.73/17.99 (assume @p107 (forall @t135 (or @t140 (= @t141 @t30)))) % 17.73/17.99 (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)))) % 17.73/17.99 (assume @p109 (forall @t143 (or @t142 @t84))) % 17.73/17.99 (assume @p110 (forall @t143 (or @t142 (= @t103 @t3)))) % 17.73/17.99 (assume @p111 (forall @t143 (or @t142 @t144))) % 17.73/17.99 (assume @p112 (forall @t95 (or @t85 (not @t144) (tptp.maps @t82 @t103 @t1)))) % 17.73/17.99 (assume @p113 (not (= (tptp.singleton tptp.universal_class) tptp.null_class))) % 17.73/17.99 (step @p114 :rule eq-symm :args (@t92 tptp.null_class)) % 17.73/17.99 (step @p115 :rule refl :args (@t90)) % 17.73/17.99 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t93)) % 17.73/17.99 (step @p117 :rule cong :premises (@p116) :args (@t94)) % 17.73/17.99 (step @p118 :rule eq_resolve :premises (@p67 @p117)) % 17.73/17.99 (step @p119 :rule refl :args (@t148)) % 17.73/17.99 (step @p120 :rule eq-symm :args (@t145 tptp.null_class)) % 17.73/17.99 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t150)) % 17.73/17.99 (step @p122 :rule refl :args (@t151)) % 17.73/17.99 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t151 @t150))) % 17.73/17.99 (assume-push @p357 @t151) % 17.73/17.99 (step @p125 :rule instantiate :premises (@p118) :args (@t152)) % 17.73/17.99 (step-pop @p358 :rule scope :premises (@p125)) % 17.73/17.99 (step @p126 :rule process_scope :premises (@p358) :args (@t150)) % 17.73/17.99 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 17.73/17.99 (step @p129 :rule implies_elim :premises (@p128)) % 17.73/17.99 (step @p130 :rule chain_m_resolution :premises (@p129 @p118) :args (@t154 @t155 @t156)) % 17.73/17.99 (step @p131 :rule symm :premises (@p113)) % 17.73/17.99 (step @p132 :rule false_intro :premises (@p131)) % 17.73/17.99 (step @p133 :rule instantiate :premises (@p12) :args ((@list tptp.universal_class))) % 17.73/17.99 (step @p134 :rule refl :args (tptp.null_class)) % 17.73/17.99 (step @p135 :rule cong :premises (@p134 @p133) :args (@t153)) % 17.73/17.99 (step @p136 :rule trans :premises (@p135 @p132)) % 17.73/17.99 (step @p137 :rule false_elim :premises (@p136)) % 17.73/17.99 (step @p138 :rule cnf_or_pos :args (@t154)) % 17.73/17.99 (step @p139 :rule reordering :premises (@p138) :args ((or @t153 @t148 (not @t154)))) % 17.73/17.99 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p130) :args (@t148 @t157 (@list @t153 @t154))) % 17.73/17.99 (step @p141 :rule eq-symm :args (@t2 @t1)) % 17.73/17.99 (step @p142 :rule eq-symm :args (@t2 @t3)) % 17.73/17.99 (step @p143 :rule refl :args (@t15)) % 17.73/17.99 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args (@t16)) % 17.73/17.99 (step @p145 :rule cong :premises (@p144) :args (@t17)) % 17.73/17.99 (step @p146 :rule eq_resolve :premises (@p8 @p145)) % 17.73/17.99 (step @p147 :rule instantiate :premises (@p146) :args ((@list @t146 tptp.universal_class tptp.universal_class))) % 17.73/17.99 (step @p148 :rule refl :args (@t158)) % 17.73/17.99 (step @p149 :rule nary_cong :premises (@p120 @p148) :args (@t159)) % 17.73/17.99 (step @p150 :rule refl :args (@t91)) % 17.73/17.99 (step @p151 :rule cong :premises (@p150 @p149) :args ((=> @t91 @t159))) % 17.73/17.99 (assume-push @p359 @t91) % 17.73/17.99 (step @p153 :rule instantiate :premises (@p66) :args (@t152)) % 17.73/17.99 (step-pop @p360 :rule scope :premises (@p153)) % 17.73/17.99 (step @p154 :rule process_scope :premises (@p360) :args (@t159)) % 17.73/17.99 (step @p156 :rule eq_resolve :premises (@p154 @p151)) % 17.73/17.99 (step @p157 :rule implies_elim :premises (@p156)) % 17.73/17.99 (step @p158 :rule chain_m_resolution :premises (@p157 @p66) :args (@t160 @t155 (@list @t91))) % 17.73/17.99 (step @p159 :rule cnf_or_pos :args (@t160)) % 17.73/17.99 (step @p160 :rule reordering :premises (@p159) :args ((or @t158 @t153 (not @t160)))) % 17.73/17.99 (step @p161 :rule chain_m_resolution :premises (@p160 @p137 @p158) :args (@t158 @t157 (@list @t153 @t160))) % 17.73/17.99 (step @p162 :rule cnf_or_pos :args (@t163)) % 17.73/17.99 (step @p163 :rule factoring :premises (@p162)) % 17.73/17.99 (step @p164 :rule reordering :premises (@p163) :args ((or @t162 @t161 (not @t163)))) % 17.73/17.99 (step @p165 :rule chain_m_resolution :premises (@p164 @p161 @p147) :args (@t161 @t164 (@list @t158 @t163))) % 17.73/17.99 (step @p166 :rule instantiate :premises (@p23) :args ((@list tptp.universal_class @t145 tptp.universal_class))) % 17.73/17.99 (step @p167 :rule true_intro :premises (@p161)) % 17.73/17.99 (step @p168 :rule refl :args (@t145)) % 17.73/17.99 (step @p169 :rule cong :premises (@p165 @p168) :args (@t165)) % 17.73/17.99 (step @p170 :rule trans :premises (@p169 @p167)) % 17.73/17.99 (step @p171 :rule true_elim :premises (@p170)) % 17.73/17.99 (step @p172 :rule instantiate :premises (@p1) :args ((@list @t145 tptp.universal_class tptp.universal_class))) % 17.73/17.99 (step @p173 :rule instantiate :premises (@p4) :args (@t152)) % 17.73/17.99 (step @p174 :rule cnf_or_pos :args (@t170)) % 17.73/17.99 (step @p175 :rule reordering :premises (@p174) :args ((or @t166 @t167 @t169 (not @t170)))) % 17.73/17.99 (step @p176 :rule chain_m_resolution :premises (@p175 @p171 @p173 @p172) :args (@t166 @t171 (@list @t165 @t168 @t170))) % 17.73/17.99 (step @p177 :rule cnf_or_pos :args (@t174)) % 17.73/17.99 (step @p178 :rule reordering :premises (@p177) :args ((or @t173 @t167 @t172 (not @t174)))) % 17.73/17.99 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p171 @p166) :args (@t172 @t171 (@list @t166 @t165 @t174))) % 17.73/17.99 (step @p180 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.element_relation))) % 17.73/17.99 (step @p181 :rule instantiate :premises (@p1) :args ((@list tptp.null_class tptp.element_relation tptp.universal_class))) % 17.73/17.99 (step @p182 :rule true_intro :premises (@p179)) % 17.73/17.99 (step @p183 :rule symm :premises (@p165)) % 17.73/17.99 (step @p184 :rule cong :premises (@p168 @p183) :args (@t147)) % 17.73/17.99 (step @p185 :rule trans :premises (@p140 @p184)) % 17.73/17.99 (step @p186 :rule refl :args (tptp.universal_class)) % 17.73/17.99 (step @p187 :rule cong :premises (@p186 @p185) :args (@t175)) % 17.73/17.99 (step @p188 :rule trans :premises (@p187 @p182)) % 17.73/17.99 (step @p189 :rule true_elim :premises (@p188)) % 17.73/17.99 (step @p190 :rule instantiate :premises (@p2) :args (@t176)) % 17.73/17.99 (step @p191 :rule cnf_or_pos :args (@t180)) % 17.73/17.99 (step @p192 :rule reordering :premises (@p191) :args ((or @t177 @t179 (not @t180)))) % 17.73/17.99 (step @p193 :rule instantiate :premises (@p3) :args (@t176)) % 17.73/17.99 (step @p194 :rule cnf_or_pos :args (@t183)) % 17.73/17.99 (step @p195 :rule reordering :premises (@p194) :args ((or @t177 @t182 (not @t183)))) % 17.73/17.99 (step @p196 :rule instantiate :premises (@p21) :args ((@list @t178 tptp.element_relation @t184))) % 17.73/17.99 (step @p197 :rule cnf_or_pos :args (@t188)) % 17.73/17.99 (step @p198 :rule reordering :premises (@p197) :args ((or @t181 @t187 (not @t188)))) % 17.73/17.99 (assume-push @p361 @t189) % 17.73/17.99 (assume-push @p362 @t179) % 17.73/17.99 (assume-push @p363 @t179) % 17.73/17.99 (assume-push @p364 @t189) % 17.73/17.99 (step @p203 :rule true_intro :premises (@p362)) % 17.73/17.99 (step @p204 :rule symm :premises (@p361)) % 17.73/17.99 (step @p205 :rule refl :args (@t178)) % 17.73/17.99 (step @p206 :rule cong :premises (@p205 @p204) :args (@t186)) % 17.73/17.99 (step @p207 :rule trans :premises (@p206 @p203)) % 17.73/17.99 (step @p208 :rule true_elim :premises (@p207)) % 17.73/17.99 (step-pop @p365 :rule scope :premises (@p208)) % 17.73/17.99 (step-pop @p366 :rule scope :premises (@p365)) % 17.73/17.99 (step @p209 :rule process_scope :premises (@p366) :args (@t186)) % 17.73/17.99 (step @p212 :rule and_intro :premises (@p362 @p361)) % 17.73/17.99 (step @p213 :rule modus_ponens :premises (@p212 @p209)) % 17.73/17.99 (step-pop @p367 :rule scope :premises (@p213)) % 17.73/17.99 (step-pop @p368 :rule scope :premises (@p367)) % 17.73/17.99 (step @p214 :rule process_scope :premises (@p368) :args (@t186)) % 17.73/17.99 (step @p217 :rule implies_elim :premises (@p214)) % 17.73/17.99 (step @p218 :rule cnf_and_neg :args (@t190)) % 17.73/17.99 (step @p219 :rule resolution :premises (@p218 @p217) :args (true @t190)) % 17.73/17.99 (step @p220 :rule chain_m_resolution :premises (@p219 @p198 @p196 @p195 @p193 @p192 @p190) :args ((or (not @t189) @t177) (@list true false true false false false) (@list @t186 @t188 @t181 @t183 @t179 @t180))) % 17.73/17.99 (step @p221 :rule instantiate :premises (@p118) :args ((@list tptp.element_relation))) % 17.73/17.99 (step @p222 :rule cnf_or_pos :args (@t192)) % 17.73/17.99 (step @p223 :rule reordering :premises (@p222) :args ((or @t191 @t189 (not @t192)))) % 17.73/17.99 (step @p224 :rule bool-double-not-elim :args (@t181)) % 17.73/17.99 (step @p225 :rule refl :args (@t193)) % 17.73/17.99 (step @p226 :rule refl :args (@t194)) % 17.73/17.99 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t194 @t193 (not @t182)))) % 17.73/17.99 (assume-push @p369 @t179) % 17.73/17.99 (assume-push @p370 @t191) % 17.73/17.99 (assume-push @p371 @t182) % 17.73/17.99 (step @p231 :rule evaluate :args (@t195)) % 17.73/17.99 (step @p232 :rule true_intro :premises (@p369)) % 17.73/17.99 (step @p205 :rule refl :args (@t178)) % 17.73/17.99 (step @p233 :rule cong :premises (@p205 @p370) :args (@t181)) % 17.73/17.99 (step @p234 :rule false_intro :premises (@p371)) % 17.73/17.99 (step @p235 :rule symm :premises (@p234)) % 17.73/17.99 (step @p236 :rule trans :premises (@p235 @p233 @p232)) % 17.73/17.99 (step @p237 false :rule eq_resolve :premises (@p236 @p231)) % 17.73/17.99 (step-pop @p372 :rule scope :premises (@p237)) % 17.73/17.99 (step-pop @p373 :rule scope :premises (@p372)) % 17.73/17.99 (step-pop @p374 :rule scope :premises (@p373)) % 17.73/17.99 (step @p238 :rule process_scope :premises (@p374) :args (false)) % 17.73/17.99 (assume-push @p375 @t191) % 17.73/17.99 (assume-push @p376 @t179) % 17.73/17.99 (assume-push @p377 @t182) % 17.73/17.99 (step @p245 :rule and_intro :premises (@p376 @p375 @p377)) % 17.73/17.99 (step-pop @p378 :rule scope :premises (@p245)) % 17.73/17.99 (step-pop @p379 :rule scope :premises (@p378)) % 17.73/17.99 (step-pop @p380 :rule scope :premises (@p379)) % 17.73/17.99 (step @p246 :rule process_scope :premises (@p380) :args (@t196)) % 17.73/17.99 (step @p250 :rule implies_elim :premises (@p246)) % 17.73/17.99 (step @p251 :rule resolution :premises (@p250 @p238) :args (true @t196)) % 17.73/17.99 (step @p252 :rule not_and :premises (@p251)) % 17.73/17.99 (step @p253 :rule eq_resolve :premises (@p252 @p227)) % 17.73/17.99 (step @p254 :rule reordering :premises (@p253) :args ((or @t194 @t181 @t193))) % 17.73/17.99 (step @p255 :rule chain_m_resolution :premises (@p254 @p223 @p221 @p220 @p195 @p193 @p192 @p190) :args (@t177 (@list false false true true false false false) (@list @t191 @t192 @t189 @t181 @t183 @t179 @t180))) % 17.73/17.99 (step @p256 :rule cnf_or_pos :args (@t200)) % 17.73/17.99 (step @p257 :rule reordering :premises (@p256) :args ((or @t197 @t199 @t198 (not @t200)))) % 17.73/17.99 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p189 @p181) :args (@t197 @t171 (@list @t177 @t175 @t200))) % 17.73/17.99 (step @p259 :rule cnf_or_pos :args (@t204)) % 17.73/17.99 (step @p260 :rule reordering :premises (@p259) :args ((or @t201 @t203 (not @t204)))) % 17.73/17.99 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p180) :args (@t203 @t164 (@list @t197 @t204))) % 17.73/17.99 (step @p262 :rule refl :args (@t207)) % 17.73/17.99 (step @p263 :rule eq-symm :args (@t100 tptp.null_class)) % 17.73/17.99 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t208)) % 17.73/17.99 (step @p265 :rule cong :premises (@p122 @p264) :args ((=> @t151 @t208))) % 17.73/17.99 (assume-push @p381 @t151) % 17.73/17.99 (step @p267 :rule instantiate :premises (@p118) :args ((@list @t100))) % 17.73/17.99 (step-pop @p382 :rule scope :premises (@p267)) % 17.73/17.99 (step @p268 :rule process_scope :premises (@p382) :args (@t208)) % 17.73/17.99 (step @p270 :rule eq_resolve :premises (@p268 @p265)) % 17.73/17.99 (step @p271 :rule implies_elim :premises (@p270)) % 17.73/17.99 (step @p272 :rule chain_m_resolution :premises (@p271 @p118) :args (@t210 @t155 @t156)) % 17.73/17.99 (step @p273 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t100 @t205))) % 17.73/17.99 (step @p274 :rule cnf_or_pos :args (@t213)) % 17.73/17.99 (step @p275 :rule reordering :premises (@p274) :args ((or @t202 @t212 (not @t213)))) % 17.73/17.99 (step @p276 :rule chain_m_resolution :premises (@p275 @p261 @p273) :args (@t212 @t157 (@list @t202 @t213))) % 17.73/17.99 (step @p277 :rule bool-double-not-elim :args (@t211)) % 17.73/17.99 (step @p278 :rule refl :args (@t214)) % 17.73/17.99 (step @p279 :rule refl :args (@t215)) % 17.73/17.99 (step @p280 :rule refl :args (@t216)) % 17.73/17.99 (step @p281 :rule refl :args (@t217)) % 17.73/17.99 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279 @p278 @p277) :args ((or @t217 @t216 @t215 @t214 (not @t212)))) % 17.73/17.99 (assume-push @p383 @t172) % 17.73/17.99 (assume-push @p384 @t161) % 17.73/17.99 (assume-push @p385 @t148) % 17.73/17.99 (assume-push @p386 @t207) % 17.73/17.99 (assume-push @p387 @t212) % 17.73/17.99 (step @p231 :rule evaluate :args (@t195)) % 17.73/17.99 (step @p288 :rule symm :premises (@p386)) % 17.73/17.99 (step @p289 :rule cong :premises (@p186 @p288) :args (@t211)) % 17.73/17.99 (step @p290 :rule false_intro :premises (@p387)) % 17.73/17.99 (step @p291 :rule symm :premises (@p290)) % 17.73/17.99 (step @p292 :rule trans :premises (@p291 @p289 @p187 @p182)) % 17.73/17.99 (step @p293 false :rule eq_resolve :premises (@p292 @p231)) % 17.73/17.99 (step-pop @p388 :rule scope :premises (@p293)) % 17.73/17.99 (step-pop @p389 :rule scope :premises (@p388)) % 17.73/17.99 (step-pop @p390 :rule scope :premises (@p389)) % 17.73/17.99 (step-pop @p391 :rule scope :premises (@p390)) % 17.73/17.99 (step-pop @p392 :rule scope :premises (@p391)) % 17.73/17.99 (step @p294 :rule process_scope :premises (@p392) :args (false)) % 17.73/17.99 (assume-push @p393 @t207) % 17.73/17.99 (assume-push @p394 @t148) % 17.73/17.99 (assume-push @p395 @t161) % 17.73/17.99 (assume-push @p396 @t172) % 17.73/17.99 (assume-push @p397 @t212) % 17.73/17.99 (step @p305 :rule and_intro :premises (@p179 @p165 @p140 @p393 @p397)) % 17.73/17.99 (step-pop @p398 :rule scope :premises (@p305)) % 17.73/17.99 (step-pop @p399 :rule scope :premises (@p398)) % 17.73/17.99 (step-pop @p400 :rule scope :premises (@p399)) % 17.73/17.99 (step-pop @p401 :rule scope :premises (@p400)) % 17.73/17.99 (step-pop @p402 :rule scope :premises (@p401)) % 17.73/17.99 (step @p306 :rule process_scope :premises (@p402) :args (@t218)) % 17.73/17.99 (step @p312 :rule implies_elim :premises (@p306)) % 17.73/17.99 (step @p313 :rule resolution :premises (@p312 @p294) :args (true @t218)) % 17.73/17.99 (step @p314 :rule not_and :premises (@p313)) % 17.73/17.99 (step @p315 :rule eq_resolve :premises (@p314 @p282)) % 17.73/17.99 (step @p316 :rule chain_m_resolution :premises (@p315 @p140 @p165 @p179 @p276) :args (@t217 (@list false false false true) (@list @t148 @t161 @t172 @t211))) % 17.73/17.99 (step @p317 :rule cnf_or_pos :args (@t210)) % 17.73/17.99 (step @p318 :rule reordering :premises (@p317) :args ((or @t209 @t207 (not @t210)))) % 17.73/17.99 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p272) :args (@t209 @t157 (@list @t207 @t210))) % 17.73/17.99 (step @p320 :rule refl :args (@t219)) % 17.73/17.99 (step @p321 :rule bool-double-not-elim :args (@t202)) % 17.73/17.99 (step @p322 :rule nary_cong :premises (@p321 @p320 @p280 @p279 @p278) :args ((or (not @t203) @t219 @t216 @t215 @t214))) % 17.73/17.99 (assume-push @p403 @t172) % 17.73/17.99 (assume-push @p404 @t161) % 17.73/17.99 (assume-push @p405 @t148) % 17.73/17.99 (assume-push @p406 @t209) % 17.73/17.99 (assume-push @p407 @t203) % 17.73/17.99 (step @p231 :rule evaluate :args (@t195)) % 17.73/17.99 (step @p328 :rule symm :premises (@p406)) % 17.73/17.99 (step @p329 :rule cong :premises (@p186 @p328) :args (@t202)) % 17.73/17.99 (step @p330 :rule false_intro :premises (@p407)) % 17.73/17.99 (step @p331 :rule symm :premises (@p330)) % 17.73/17.99 (step @p332 :rule trans :premises (@p331 @p329 @p187 @p182)) % 17.73/17.99 (step @p333 false :rule eq_resolve :premises (@p332 @p231)) % 17.73/17.99 (step-pop @p408 :rule scope :premises (@p333)) % 17.73/17.99 (step-pop @p409 :rule scope :premises (@p408)) % 17.73/17.99 (step-pop @p410 :rule scope :premises (@p409)) % 17.73/17.99 (step-pop @p411 :rule scope :premises (@p410)) % 17.73/17.99 (step-pop @p412 :rule scope :premises (@p411)) % 17.73/17.99 (step @p334 :rule process_scope :premises (@p412) :args (false)) % 17.73/17.99 (assume-push @p413 @t203) % 17.73/17.99 (assume-push @p414 @t209) % 17.73/17.99 (assume-push @p415 @t148) % 17.73/17.99 (assume-push @p416 @t161) % 17.73/17.99 (assume-push @p417 @t172) % 17.73/17.99 (step @p345 :rule and_intro :premises (@p179 @p165 @p140 @p414 @p413)) % 17.73/17.99 (step-pop @p418 :rule scope :premises (@p345)) % 17.73/17.99 (step-pop @p419 :rule scope :premises (@p418)) % 17.73/17.99 (step-pop @p420 :rule scope :premises (@p419)) % 17.73/17.99 (step-pop @p421 :rule scope :premises (@p420)) % 17.73/17.99 (step-pop @p422 :rule scope :premises (@p421)) % 17.73/17.99 (step @p346 :rule process_scope :premises (@p422) :args (@t220)) % 17.73/17.99 (step @p352 :rule implies_elim :premises (@p346)) % 17.73/17.99 (step @p353 :rule resolution :premises (@p352 @p334) :args (true @t220)) % 17.73/17.99 (step @p354 :rule not_and :premises (@p353)) % 17.73/17.99 (step @p355 :rule eq_resolve :premises (@p354 @p322)) % 17.73/17.99 (step @p356 false :rule chain_m_resolution :premises (@p355 @p319 @p261 @p179 @p165 @p140) :args (false (@list false true false false false) (@list @t209 @t202 @t172 @t161 @t148))) % 17.73/17.99 ) % 17.73/17.99 % SZS output end Proof % 17.73/17.99 % cvc5 exiting %------------------------------------------------------------------------------