%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET067-7 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:47:14 AM UTC 2026 % Result : Unsatisfiable 2.41s 2.68s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET067-7 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 14:50:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.41/2.68 % SZS status Unsatisfiable % 2.41/2.68 % SZS output start Proof % 2.41/2.68 ( % 2.41/2.68 (declare-sort $$unsorted 0) % 2.41/2.68 (declare-const tptp.x $$unsorted) % 2.41/2.68 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.operation (-> $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.function (-> $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.y $$unsorted) % 2.41/2.68 (declare-const tptp.element_relation $$unsorted) % 2.41/2.68 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.universal_class $$unsorted) % 2.41/2.68 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.successor_relation $$unsorted) % 2.41/2.68 (declare-const tptp.choice $$unsorted) % 2.41/2.68 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.subset_relation $$unsorted) % 2.41/2.68 (declare-const tptp.null_class $$unsorted) % 2.41/2.68 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.omega $$unsorted) % 2.41/2.68 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.41/2.68 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.identity_relation $$unsorted) % 2.41/2.68 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 2.41/2.68 (declare-const tptp.inductive (-> $$unsorted Bool)) % 2.41/2.68 (define @t1 () (@var "Y" $$unsorted)) % 2.41/2.68 (define @t2 () (@var "U" $$unsorted)) % 2.41/2.68 (define @t3 () (@var "X" $$unsorted)) % 2.41/2.68 (define @t4 () (tptp.member @t2 @t3)) % 2.41/2.68 (define @t5 () (not @t4)) % 2.41/2.68 (define @t6 () (tptp.subclass @t3 @t1)) % 2.41/2.68 (define @t7 () (not @t6)) % 2.41/2.68 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 2.41/2.68 (define @t9 () (tptp.member @t8 @t3)) % 2.41/2.68 (define @t10 () (@list @t3 @t1)) % 2.41/2.68 (define @t11 () (not (tptp.member @t8 @t1))) % 2.41/2.68 (define @t12 () (@list @t3)) % 2.41/2.68 (define @t13 () (= @t3 @t1)) % 2.41/2.68 (define @t14 () (not @t13)) % 2.41/2.68 (define @t15 () (tptp.subclass @t1 @t3)) % 2.41/2.68 (define @t16 () (tptp.unordered_pair @t3 @t1)) % 2.41/2.68 (define @t17 () (not (tptp.member @t2 @t16))) % 2.41/2.68 (define @t18 () (or @t17 (= @t2 @t3) (= @t2 @t1))) % 2.41/2.68 (define @t19 () (forall (@list @t2 @t3 @t1) @t18)) % 2.41/2.68 (define @t20 () (tptp.member @t3 @t16)) % 2.41/2.68 (define @t21 () (not (tptp.member @t3 tptp.universal_class))) % 2.41/2.68 (define @t22 () (tptp.member @t1 @t16)) % 2.41/2.68 (define @t23 () (not (tptp.member @t1 tptp.universal_class))) % 2.41/2.68 (define @t24 () (@list @t1 @t3)) % 2.41/2.68 (define @t25 () (tptp.singleton @t3)) % 2.41/2.68 (define @t26 () (forall @t12 (= (tptp.unordered_pair @t3 @t3) @t25))) % 2.41/2.68 (define @t27 () (tptp.ordered_pair @t3 @t1)) % 2.41/2.68 (define @t28 () (tptp.singleton @t1)) % 2.41/2.68 (define @t29 () (tptp.cross_product @t3 @t1)) % 2.41/2.68 (define @t30 () (@var "V" $$unsorted)) % 2.41/2.68 (define @t31 () (tptp.ordered_pair @t2 @t30)) % 2.41/2.68 (define @t32 () (tptp.member @t31 @t29)) % 2.41/2.68 (define @t33 () (not @t32)) % 2.41/2.68 (define @t34 () (@list @t2 @t30 @t3 @t1)) % 2.41/2.68 (define @t35 () (tptp.member @t30 @t1)) % 2.41/2.68 (define @t36 () (@var "Z" $$unsorted)) % 2.41/2.68 (define @t37 () (@list @t36 @t3 @t1)) % 2.41/2.68 (define @t38 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 2.41/2.68 (define @t39 () (tptp.member @t3 @t1)) % 2.41/2.68 (define @t40 () (tptp.member @t27 tptp.element_relation)) % 2.41/2.68 (define @t41 () (not (tptp.member @t27 @t38))) % 2.41/2.68 (define @t42 () (tptp.member @t36 @t3)) % 2.41/2.68 (define @t43 () (tptp.intersection @t3 @t1)) % 2.41/2.68 (define @t44 () (tptp.member @t36 @t43)) % 2.41/2.68 (define @t45 () (not @t44)) % 2.41/2.68 (define @t46 () (tptp.member @t36 @t1)) % 2.41/2.68 (define @t47 () (not @t42)) % 2.41/2.68 (define @t48 () (tptp.complement @t3)) % 2.41/2.68 (define @t49 () (tptp.member @t36 @t48)) % 2.41/2.68 (define @t50 () (@list @t36 @t3)) % 2.41/2.68 (define @t51 () (not (tptp.member @t36 tptp.universal_class))) % 2.41/2.68 (define @t52 () (tptp.complement (tptp.intersection @t48 (tptp.complement @t1)))) % 2.41/2.68 (define @t53 () (@var "Xr" $$unsorted)) % 2.41/2.68 (define @t54 () (tptp.restrict @t53 @t3 @t1)) % 2.41/2.68 (define @t55 () (tptp.domain_of @t3)) % 2.41/2.68 (define @t56 () (tptp.member @t36 @t55)) % 2.41/2.68 (define @t57 () (= (tptp.restrict @t3 (tptp.singleton @t36) tptp.universal_class) tptp.null_class)) % 2.41/2.68 (define @t58 () (tptp.cross_product @t38 tptp.universal_class)) % 2.41/2.68 (define @t59 () (tptp.rotate @t3)) % 2.41/2.68 (define @t60 () (@var "W" $$unsorted)) % 2.41/2.68 (define @t61 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t30 @t60) @t2) @t3)) % 2.41/2.68 (define @t62 () (tptp.ordered_pair @t31 @t60)) % 2.41/2.68 (define @t63 () (tptp.member @t62 @t59)) % 2.41/2.68 (define @t64 () (@list @t2 @t30 @t60 @t3)) % 2.41/2.68 (define @t65 () (not (tptp.member @t62 @t58))) % 2.41/2.68 (define @t66 () (tptp.flip @t3)) % 2.41/2.68 (define @t67 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t30 @t2) @t60) @t3)) % 2.41/2.68 (define @t68 () (tptp.member @t62 @t66)) % 2.41/2.68 (define @t69 () (@list @t1)) % 2.41/2.68 (define @t70 () (@list @t36)) % 2.41/2.68 (define @t71 () (tptp.successor @t3)) % 2.41/2.68 (define @t72 () (= @t71 @t1)) % 2.41/2.68 (define @t73 () (tptp.member @t27 tptp.successor_relation)) % 2.41/2.68 (define @t74 () (tptp.member tptp.null_class @t3)) % 2.41/2.68 (define @t75 () (tptp.inductive @t3)) % 2.41/2.68 (define @t76 () (not @t75)) % 2.41/2.68 (define @t77 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 2.41/2.68 (define @t78 () (tptp.sum_class @t3)) % 2.41/2.68 (define @t79 () (tptp.member @t2 tptp.universal_class)) % 2.41/2.68 (define @t80 () (@var "Yr" $$unsorted)) % 2.41/2.68 (define @t81 () (tptp.compose @t80 @t53)) % 2.41/2.68 (define @t82 () (tptp.member @t36 (tptp.image @t80 (tptp.image @t53 @t28)))) % 2.41/2.68 (define @t83 () (tptp.ordered_pair @t1 @t36)) % 2.41/2.68 (define @t84 () (tptp.member @t83 @t81)) % 2.41/2.68 (define @t85 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 2.41/2.68 (define @t86 () (tptp.single_valued_class @t3)) % 2.41/2.68 (define @t87 () (@var "Xf" $$unsorted)) % 2.41/2.68 (define @t88 () (tptp.subclass @t87 @t38)) % 2.41/2.68 (define @t89 () (tptp.function @t87)) % 2.41/2.68 (define @t90 () (not @t89)) % 2.41/2.68 (define @t91 () (@list @t87)) % 2.41/2.68 (define @t92 () (tptp.inverse @t87)) % 2.41/2.68 (define @t93 () (tptp.subclass (tptp.compose @t87 @t92) tptp.identity_relation)) % 2.41/2.68 (define @t94 () (tptp.regular @t3)) % 2.41/2.68 (define @t95 () (= @t3 tptp.null_class)) % 2.41/2.68 (define @t96 () (forall (@list @t87 @t1) (= (tptp.sum_class (tptp.image @t87 @t28)) (tptp.apply @t87 @t1)))) % 2.41/2.68 (define @t97 () (tptp.function tptp.choice)) % 2.41/2.68 (define @t98 () (forall @t69 (or @t23 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 2.41/2.68 (define @t99 () (tptp.one_to_one @t87)) % 2.41/2.68 (define @t100 () (not @t99)) % 2.41/2.68 (define @t101 () (tptp.function @t92)) % 2.41/2.68 (define @t102 () (tptp.inverse tptp.element_relation)) % 2.41/2.68 (define @t103 () (tptp.operation @t87)) % 2.41/2.68 (define @t104 () (not @t103)) % 2.41/2.68 (define @t105 () (tptp.domain_of @t87)) % 2.41/2.68 (define @t106 () (tptp.domain_of @t105)) % 2.41/2.68 (define @t107 () (= (tptp.cross_product @t106 @t106) @t105)) % 2.41/2.68 (define @t108 () (tptp.subclass (tptp.range_of @t87) @t106)) % 2.41/2.68 (define @t109 () (@var "Xh" $$unsorted)) % 2.41/2.68 (define @t110 () (tptp.function @t109)) % 2.41/2.68 (define @t111 () (@var "Xf2" $$unsorted)) % 2.41/2.68 (define @t112 () (@var "Xf1" $$unsorted)) % 2.41/2.68 (define @t113 () (tptp.compatible @t109 @t112 @t111)) % 2.41/2.68 (define @t114 () (not @t113)) % 2.41/2.68 (define @t115 () (@list @t109 @t112 @t111)) % 2.41/2.68 (define @t116 () (tptp.domain_of @t112)) % 2.41/2.68 (define @t117 () (= (tptp.domain_of @t116) (tptp.domain_of @t109))) % 2.41/2.68 (define @t118 () (tptp.subclass (tptp.range_of @t109) (tptp.domain_of (tptp.domain_of @t111)))) % 2.41/2.68 (define @t119 () (tptp.operation @t112)) % 2.41/2.68 (define @t120 () (tptp.homomorphism @t109 @t112 @t111)) % 2.41/2.68 (define @t121 () (not @t120)) % 2.41/2.68 (define @t122 () (tptp.operation @t111)) % 2.41/2.68 (define @t123 () (tptp.not_homomorphism2 @t109 @t112 @t111)) % 2.41/2.68 (define @t124 () (tptp.not_homomorphism1 @t109 @t112 @t111)) % 2.41/2.68 (define @t125 () (tptp.ordered_pair @t124 @t123)) % 2.41/2.68 (define @t126 () (not @t122)) % 2.41/2.68 (define @t127 () (not @t119)) % 2.41/2.68 (define @t128 () (@list @t112 @t111 @t109)) % 2.41/2.68 (define @t129 () (not (tptp.member @t27 (tptp.cross_product @t2 @t30)))) % 2.41/2.68 (define @t130 () (@list @t3 @t1 @t2 @t30)) % 2.41/2.68 (define @t131 () (tptp.not_subclass_element @t1 @t3)) % 2.41/2.68 (define @t132 () (tptp.member @t131 @t1)) % 2.41/2.68 (define @t133 () (not (tptp.member @t131 @t3))) % 2.41/2.68 (define @t134 () (tptp.unordered_pair tptp.x tptp.y)) % 2.41/2.68 (define @t135 () (tptp.singleton tptp.x)) % 2.41/2.68 (define @t136 () (tptp.subclass @t135 @t134)) % 2.41/2.68 (define @t137 () (tptp.unordered_pair tptp.x tptp.x)) % 2.41/2.68 (define @t138 () (tptp.unordered_pair @t137 @t137)) % 2.41/2.68 (define @t139 () (tptp.singleton @t137)) % 2.41/2.68 (define @t140 () (= @t138 @t139)) % 2.41/2.68 (define @t141 () (@list @t137)) % 2.41/2.68 (define @t142 () (= @t139 @t138)) % 2.41/2.68 (define @t143 () (@list false)) % 2.41/2.68 (define @t144 () (@list @t26)) % 2.41/2.68 (define @t145 () (tptp.image tptp.choice @t139)) % 2.41/2.68 (define @t146 () (tptp.apply tptp.choice @t137)) % 2.41/2.68 (define @t147 () (tptp.member @t146 @t137)) % 2.41/2.68 (define @t148 () (tptp.member @t137 tptp.universal_class)) % 2.41/2.68 (define @t149 () (not @t148)) % 2.41/2.68 (define @t150 () (or @t149 (= @t137 tptp.null_class) @t147)) % 2.41/2.68 (define @t151 () (= tptp.null_class @t137)) % 2.41/2.68 (define @t152 () (or @t149 @t151 @t147)) % 2.41/2.68 (define @t153 () (tptp.not_subclass_element @t135 @t134)) % 2.41/2.68 (define @t154 () (= @t137 @t135)) % 2.41/2.68 (define @t155 () (@list tptp.x)) % 2.41/2.68 (define @t156 () (= @t135 @t137)) % 2.41/2.68 (define @t157 () (@list @t135 @t134)) % 2.41/2.68 (define @t158 () (tptp.member @t153 @t135)) % 2.41/2.68 (define @t159 () (or @t158 @t136)) % 2.41/2.68 (define @t160 () (@list true false)) % 2.41/2.68 (define @t161 () (tptp.member @t153 tptp.null_class)) % 2.41/2.68 (define @t162 () (not @t151)) % 2.41/2.68 (define @t163 () (not @t156)) % 2.41/2.68 (define @t164 () (not @t158)) % 2.41/2.68 (define @t165 () (not @t161)) % 2.41/2.68 (define @t166 () (= false true)) % 2.41/2.68 (define @t167 () (and @t165 @t151 @t156 @t158)) % 2.41/2.68 (define @t168 () (@list false true false)) % 2.41/2.68 (define @t169 () (= tptp.x @t146)) % 2.41/2.68 (define @t170 () (not @t147)) % 2.41/2.68 (define @t171 () (or @t170 @t169 @t169)) % 2.41/2.68 (define @t172 () (@list false false)) % 2.41/2.68 (define @t173 () (tptp.sum_class @t145)) % 2.41/2.68 (define @t174 () (= @t173 @t146)) % 2.41/2.68 (define @t175 () (@list tptp.choice @t137)) % 2.41/2.68 (define @t176 () (= @t146 @t173)) % 2.41/2.68 (define @t177 () (not (tptp.member @t153 @t134))) % 2.41/2.68 (define @t178 () (or @t177 @t136)) % 2.41/2.68 (define @t179 () (tptp.member @t153 @t137)) % 2.41/2.68 (define @t180 () (= tptp.x @t153)) % 2.41/2.68 (define @t181 () (not @t179)) % 2.41/2.68 (define @t182 () (or @t181 @t180 @t180)) % 2.41/2.68 (define @t183 () (tptp.member tptp.x @t134)) % 2.41/2.68 (define @t184 () (tptp.member tptp.x tptp.universal_class)) % 2.41/2.68 (define @t185 () (not @t184)) % 2.41/2.68 (define @t186 () (or @t185 @t183)) % 2.41/2.68 (define @t187 () (tptp.member @t173 tptp.universal_class)) % 2.41/2.68 (define @t188 () (not @t187)) % 2.41/2.68 (define @t189 () (not @t169)) % 2.41/2.68 (define @t190 () (not @t176)) % 2.41/2.68 (define @t191 () (and @t185 @t176 @t169)) % 2.41/2.68 (define @t192 () (tptp.member @t145 tptp.universal_class)) % 2.41/2.68 (define @t193 () (not @t192)) % 2.41/2.68 (define @t194 () (or @t193 @t187)) % 2.41/2.68 (define @t195 () (tptp.member @t139 tptp.universal_class)) % 2.41/2.68 (define @t196 () (not @t195)) % 2.41/2.68 (define @t197 () (not @t97)) % 2.41/2.68 (define @t198 () (or @t197 @t196 @t192)) % 2.41/2.68 (define @t199 () (tptp.member @t138 tptp.universal_class)) % 2.41/2.68 (define @t200 () (not @t199)) % 2.41/2.68 (define @t201 () (not @t142)) % 2.41/2.68 (define @t202 () (and @t199 @t142 @t196)) % 2.41/2.68 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 2.41/2.68 (assume @p2 (forall @t10 (or @t9 @t6))) % 2.41/2.68 (assume @p3 (forall @t10 (or @t11 @t6))) % 2.41/2.68 (assume @p4 (forall @t12 (tptp.subclass @t3 tptp.universal_class))) % 2.41/2.68 (assume @p5 (forall @t10 (or @t14 @t6))) % 2.41/2.68 (assume @p6 (forall @t10 (or @t14 @t15))) % 2.41/2.68 (assume @p7 (forall @t10 (or @t7 (not @t15) @t13))) % 2.41/2.69 (assume @p8 @t19) % 2.41/2.69 (assume @p9 (forall @t10 (or @t21 @t20))) % 2.41/2.69 (assume @p10 (forall @t24 (or @t23 @t22))) % 2.41/2.69 (assume @p11 (forall @t10 (tptp.member @t16 tptp.universal_class))) % 2.41/2.69 (assume @p12 @t26) % 2.41/2.69 (assume @p13 (forall @t10 (= (tptp.unordered_pair @t25 (tptp.unordered_pair @t3 @t28)) @t27))) % 2.41/2.69 (assume @p14 (forall @t34 (or @t33 @t4))) % 2.41/2.69 (assume @p15 (forall @t34 (or @t33 @t35))) % 2.41/2.69 (assume @p16 (forall (@list @t2 @t3 @t30 @t1) (or @t5 (not @t35) @t32))) % 2.41/2.69 (assume @p17 (forall @t37 (or (not (tptp.member @t36 @t29)) (= (tptp.ordered_pair (tptp.first @t36) (tptp.second @t36)) @t36)))) % 2.41/2.69 (assume @p18 (tptp.subclass tptp.element_relation @t38)) % 2.41/2.69 (assume @p19 (forall @t10 (or (not @t40) @t39))) % 2.41/2.69 (assume @p20 (forall @t10 (or @t41 (not @t39) @t40))) % 2.41/2.69 (assume @p21 (forall @t37 (or @t45 @t42))) % 2.41/2.69 (assume @p22 (forall @t37 (or @t45 @t46))) % 2.41/2.69 (assume @p23 (forall @t37 (or @t47 (not @t46) @t44))) % 2.41/2.69 (assume @p24 (forall @t50 (or (not @t49) @t47))) % 2.41/2.69 (assume @p25 (forall @t50 (or @t51 @t49 @t42))) % 2.41/2.69 (assume @p26 (forall @t10 (= @t52 (tptp.union @t3 @t1)))) % 2.41/2.69 (assume @p27 (forall @t10 (= (tptp.intersection (tptp.complement @t43) @t52) (tptp.symmetric_difference @t3 @t1)))) % 2.41/2.69 (assume @p28 (forall (@list @t53 @t3 @t1) (= (tptp.intersection @t53 @t29) @t54))) % 2.41/2.69 (assume @p29 (forall (@list @t3 @t1 @t53) (= (tptp.intersection @t29 @t53) @t54))) % 2.41/2.69 (assume @p30 (forall (@list @t3 @t36) (or (not @t57) (not @t56)))) % 2.41/2.69 (assume @p31 (forall @t50 (or @t51 @t57 @t56))) % 2.41/2.69 (assume @p32 (forall @t12 (tptp.subclass @t59 @t58))) % 2.41/2.69 (assume @p33 (forall @t64 (or (not @t63) @t61))) % 2.41/2.69 (assume @p34 (forall (@list @t30 @t60 @t2 @t3) (or (not @t61) @t65 @t63))) % 2.41/2.69 (assume @p35 (forall @t12 (tptp.subclass @t66 @t58))) % 2.41/2.69 (assume @p36 (forall @t64 (or (not @t68) @t67))) % 2.41/2.69 (assume @p37 (forall (@list @t30 @t2 @t60 @t3) (or (not @t67) @t65 @t68))) % 2.41/2.69 (assume @p38 (forall @t69 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 2.41/2.69 (assume @p39 (forall @t70 (= (tptp.domain_of (tptp.inverse @t36)) (tptp.range_of @t36)))) % 2.41/2.69 (assume @p40 (forall @t37 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t36 @t3 @t28) tptp.null_class)) (tptp.domain @t36 @t3 @t1)))) % 2.41/2.69 (assume @p41 (forall @t37 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t36 @t25 @t1) tptp.null_class)) (tptp.range @t36 @t3 @t1)))) % 2.41/2.69 (assume @p42 (forall (@list @t53 @t3) (= (tptp.range_of (tptp.restrict @t53 @t3 tptp.universal_class)) (tptp.image @t53 @t3)))) % 2.41/2.69 (assume @p43 (forall @t12 (= (tptp.union @t3 @t25) @t71))) % 2.41/2.69 (assume @p44 (tptp.subclass tptp.successor_relation @t38)) % 2.41/2.69 (assume @p45 (forall @t10 (or (not @t73) @t72))) % 2.41/2.69 (assume @p46 (forall @t10 (or (not @t72) @t41 @t73))) % 2.41/2.69 (assume @p47 (forall @t12 (or @t76 @t74))) % 2.41/2.69 (assume @p48 (forall @t12 (or @t76 @t77))) % 2.41/2.69 (assume @p49 (forall @t12 (or (not @t74) (not @t77) @t75))) % 2.41/2.69 (assume @p50 (tptp.inductive tptp.omega)) % 2.41/2.69 (assume @p51 (forall @t69 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 2.41/2.69 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 2.41/2.69 (assume @p53 (forall @t12 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t78))) % 2.41/2.69 (assume @p54 (forall @t12 (or @t21 (tptp.member @t78 tptp.universal_class)))) % 2.41/2.69 (assume @p55 (forall @t12 (= (tptp.complement (tptp.image tptp.element_relation @t48)) (tptp.power_class @t3)))) % 2.41/2.69 (assume @p56 (forall (@list @t2) (or (not @t79) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 2.41/2.69 (assume @p57 (forall (@list @t80 @t53) (tptp.subclass @t81 @t38))) % 2.41/2.69 (assume @p58 (forall (@list @t1 @t36 @t80 @t53) (or (not @t84) @t82))) % 2.41/2.69 (assume @p59 (forall (@list @t36 @t80 @t53 @t1) (or (not @t82) (not (tptp.member @t83 @t38)) @t84))) % 2.41/2.69 (assume @p60 (forall @t12 (or (not @t86) @t85))) % 2.41/2.69 (assume @p61 (forall @t12 (or (not @t85) @t86))) % 2.41/2.69 (assume @p62 (forall @t91 (or @t90 @t88))) % 2.41/2.69 (assume @p63 (forall @t91 (or @t90 @t93))) % 2.41/2.69 (assume @p64 (forall @t91 (or (not @t88) (not @t93) @t89))) % 2.41/2.69 (assume @p65 (forall (@list @t87 @t3) (or @t90 @t21 (tptp.member (tptp.image @t87 @t3) tptp.universal_class)))) % 2.41/2.69 (assume @p66 (forall @t12 (or @t95 (tptp.member @t94 @t3)))) % 2.41/2.69 (assume @p67 (forall @t12 (or @t95 (= (tptp.intersection @t3 @t94) tptp.null_class)))) % 2.41/2.69 (assume @p68 @t96) % 2.41/2.69 (assume @p69 @t97) % 2.41/2.69 (assume @p70 @t98) % 2.41/2.69 (assume @p71 (forall @t91 (or @t100 @t89))) % 2.41/2.69 (assume @p72 (forall @t91 (or @t100 @t101))) % 2.41/2.69 (assume @p73 (forall @t91 (or (not @t101) @t90 @t99))) % 2.41/2.69 (assume @p74 (= (tptp.intersection @t38 (tptp.intersection @t38 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t102)))) tptp.subset_relation)) % 2.41/2.69 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 2.41/2.69 (assume @p76 (forall (@list @t53) (= (tptp.complement (tptp.domain_of (tptp.intersection @t53 tptp.identity_relation))) (tptp.diagonalise @t53)))) % 2.41/2.69 (assume @p77 (forall @t12 (= (tptp.intersection @t55 (tptp.diagonalise (tptp.compose @t102 @t3))) (tptp.cantor @t3)))) % 2.41/2.69 (assume @p78 (forall @t91 (or @t104 @t89))) % 2.41/2.69 (assume @p79 (forall @t91 (or @t104 @t107))) % 2.41/2.69 (assume @p80 (forall @t91 (or @t104 @t108))) % 2.41/2.69 (assume @p81 (forall @t91 (or @t90 (not @t107) (not @t108) @t103))) % 2.41/2.69 (assume @p82 (forall @t115 (or @t114 @t110))) % 2.41/2.69 (assume @p83 (forall @t115 (or @t114 @t117))) % 2.41/2.69 (assume @p84 (forall @t115 (or @t114 @t118))) % 2.41/2.69 (assume @p85 (forall @t115 (or (not @t110) (not @t117) (not @t118) @t113))) % 2.41/2.69 (assume @p86 (forall @t115 (or @t121 @t119))) % 2.41/2.69 (assume @p87 (forall @t115 (or @t121 @t122))) % 2.41/2.69 (assume @p88 (forall @t115 (or @t121 @t113))) % 2.41/2.69 (assume @p89 (forall (@list @t109 @t112 @t111 @t3 @t1) (or @t121 (not (tptp.member @t27 @t116)) (= (tptp.apply @t111 (tptp.ordered_pair (tptp.apply @t109 @t3) (tptp.apply @t109 @t1))) (tptp.apply @t109 (tptp.apply @t112 @t27)))))) % 2.41/2.69 (assume @p90 (forall @t128 (or @t127 @t126 @t114 (tptp.member @t125 @t116) @t120))) % 2.41/2.69 (assume @p91 (forall @t128 (or @t127 @t126 @t114 (not (= (tptp.apply @t111 (tptp.ordered_pair (tptp.apply @t109 @t124) (tptp.apply @t109 @t123))) (tptp.apply @t109 (tptp.apply @t112 @t125)))) @t120))) % 2.41/2.69 (assume @p92 (forall @t130 (or @t129 @t20))) % 2.41/2.69 (assume @p93 (forall @t130 (or @t129 @t22))) % 2.41/2.69 (assume @p94 (forall @t34 (or @t33 @t79))) % 2.41/2.69 (assume @p95 (forall @t34 (or @t33 (tptp.member @t30 tptp.universal_class)))) % 2.41/2.69 (assume @p96 (forall @t12 (tptp.subclass @t3 @t3))) % 2.41/2.69 (assume @p97 (forall (@list @t3 @t1 @t36) (or @t7 (not (tptp.subclass @t1 @t36)) (tptp.subclass @t3 @t36)))) % 2.41/2.69 (assume @p98 (forall @t10 (or @t13 @t9 @t132))) % 2.41/2.69 (assume @p99 (forall @t10 (or @t11 @t13 @t132))) % 2.41/2.69 (assume @p100 (forall @t24 (or @t133 @t13 @t9))) % 2.41/2.69 (assume @p101 (forall @t10 (or @t11 @t133 @t13))) % 2.41/2.69 (assume @p102 (forall @t24 (not (tptp.member @t1 (tptp.intersection @t48 @t3))))) % 2.41/2.69 (assume @p103 (forall @t70 (not (tptp.member @t36 tptp.null_class)))) % 2.41/2.69 (assume @p104 (forall @t12 (tptp.subclass tptp.null_class @t3))) % 2.41/2.69 (assume @p105 (forall @t12 (or (not (tptp.subclass @t3 tptp.null_class)) @t95))) % 2.41/2.69 (assume @p106 (forall @t70 (or (= @t36 tptp.null_class) (tptp.member (tptp.not_subclass_element @t36 tptp.null_class) @t36)))) % 2.41/2.69 (assume @p107 (tptp.member tptp.null_class tptp.universal_class)) % 2.41/2.69 (assume @p108 (forall @t10 (= @t16 (tptp.unordered_pair @t1 @t3)))) % 2.41/2.69 (assume @p109 (not @t136)) % 2.41/2.69 (step @p110 :rule eq-symm :args (@t138 @t139)) % 2.41/2.69 (step @p111 :rule refl :args (@t26)) % 2.41/2.69 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t26 @t140))) % 2.41/2.69 (assume-push @p304 @t26) % 2.41/2.69 (step @p114 :rule instantiate :premises (@p12) :args (@t141)) % 2.41/2.69 (step-pop @p305 :rule scope :premises (@p114)) % 2.41/2.69 (step @p115 :rule process_scope :premises (@p305) :args (@t140)) % 2.41/2.69 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 2.41/2.69 (step @p118 :rule implies_elim :premises (@p117)) % 2.41/2.69 (step @p119 :rule chain_m_resolution :premises (@p118 @p12) :args (@t142 @t143 @t144)) % 2.41/2.69 (step @p120 :rule instantiate :premises (@p65) :args ((@list tptp.choice @t139))) % 2.41/2.69 (step @p121 :rule instantiate :premises (@p54) :args ((@list @t145))) % 2.41/2.69 (step @p122 :rule eq-symm :args (@t2 @t1)) % 2.41/2.69 (step @p123 :rule eq-symm :args (@t2 @t3)) % 2.41/2.69 (step @p124 :rule refl :args (@t17)) % 2.41/2.69 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args (@t18)) % 2.41/2.69 (step @p126 :rule cong :premises (@p125) :args (@t19)) % 2.41/2.69 (step @p127 :rule eq_resolve :premises (@p8 @p126)) % 2.41/2.69 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t146 tptp.x tptp.x))) % 2.41/2.69 (step @p129 :rule refl :args (@t147)) % 2.41/2.69 (step @p130 :rule eq-symm :args (@t137 tptp.null_class)) % 2.41/2.69 (step @p131 :rule refl :args (@t149)) % 2.41/2.69 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129) :args (@t150)) % 2.41/2.69 (step @p133 :rule refl :args (@t98)) % 2.41/2.69 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t98 @t150))) % 2.41/2.69 (assume-push @p306 @t98) % 2.41/2.69 (step @p136 :rule instantiate :premises (@p70) :args (@t141)) % 2.41/2.69 (step-pop @p307 :rule scope :premises (@p136)) % 2.41/2.69 (step @p137 :rule process_scope :premises (@p307) :args (@t150)) % 2.41/2.69 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 2.41/2.69 (step @p140 :rule implies_elim :premises (@p139)) % 2.41/2.69 (step @p141 :rule chain_m_resolution :premises (@p140 @p70) :args (@t152 @t143 (@list @t98))) % 2.41/2.69 (step @p142 :rule instantiate :premises (@p103) :args ((@list @t153))) % 2.41/2.69 (step @p143 :rule eq-symm :args (@t137 @t135)) % 2.41/2.69 (step @p144 :rule cong :premises (@p111 @p143) :args ((=> @t26 @t154))) % 2.41/2.69 (assume-push @p308 @t26) % 2.41/2.69 (step @p146 :rule instantiate :premises (@p12) :args (@t155)) % 2.41/2.69 (step-pop @p309 :rule scope :premises (@p146)) % 2.41/2.69 (step @p147 :rule process_scope :premises (@p309) :args (@t154)) % 2.41/2.69 (step @p149 :rule eq_resolve :premises (@p147 @p144)) % 2.41/2.69 (step @p150 :rule implies_elim :premises (@p149)) % 2.41/2.69 (step @p151 :rule chain_m_resolution :premises (@p150 @p12) :args (@t156 @t143 @t144)) % 2.41/2.69 (step @p152 :rule instantiate :premises (@p2) :args (@t157)) % 2.41/2.69 (step @p153 :rule cnf_or_pos :args (@t159)) % 2.41/2.69 (step @p154 :rule reordering :premises (@p153) :args ((or @t136 @t158 (not @t159)))) % 2.41/2.69 (step @p155 :rule chain_m_resolution :premises (@p154 @p109 @p152) :args (@t158 @t160 (@list @t136 @t159))) % 2.41/2.69 (step @p156 :rule bool-double-not-elim :args (@t161)) % 2.41/2.69 (step @p157 :rule refl :args (@t162)) % 2.41/2.69 (step @p158 :rule refl :args (@t163)) % 2.41/2.69 (step @p159 :rule refl :args (@t164)) % 2.41/2.69 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157 @p156) :args ((or @t164 @t163 @t162 (not @t165)))) % 2.41/2.69 (assume-push @p310 @t165) % 2.41/2.69 (assume-push @p311 @t151) % 2.41/2.69 (assume-push @p312 @t156) % 2.41/2.69 (assume-push @p313 @t158) % 2.41/2.69 (step @p165 :rule evaluate :args (@t166)) % 2.41/2.69 (step @p166 :rule true_intro :premises (@p155)) % 2.41/2.69 (step @p146 :rule instantiate :premises (@p12) :args (@t155)) % 2.41/2.69 (step @p167 :rule trans :premises (@p311 @p146)) % 2.41/2.69 (step @p168 :rule refl :args (@t153)) % 2.41/2.69 (step @p169 :rule cong :premises (@p168 @p167) :args (@t161)) % 2.41/2.69 (step @p170 :rule false_intro :premises (@p142)) % 2.41/2.69 (step @p171 :rule symm :premises (@p170)) % 2.41/2.69 (step @p172 :rule trans :premises (@p171 @p169 @p166)) % 2.41/2.69 (step @p173 false :rule eq_resolve :premises (@p172 @p165)) % 2.41/2.69 (step-pop @p314 :rule scope :premises (@p173)) % 2.41/2.69 (step-pop @p315 :rule scope :premises (@p314)) % 2.41/2.69 (step-pop @p316 :rule scope :premises (@p315)) % 2.41/2.69 (step-pop @p317 :rule scope :premises (@p316)) % 2.41/2.69 (step @p174 :rule process_scope :premises (@p317) :args (false)) % 2.41/2.69 (assume-push @p318 @t158) % 2.41/2.69 (assume-push @p319 @t156) % 2.41/2.69 (assume-push @p320 @t151) % 2.41/2.69 (assume-push @p321 @t165) % 2.41/2.69 (step @p183 :rule and_intro :premises (@p142 @p320 @p151 @p155)) % 2.41/2.69 (step-pop @p322 :rule scope :premises (@p183)) % 2.41/2.69 (step-pop @p323 :rule scope :premises (@p322)) % 2.41/2.69 (step-pop @p324 :rule scope :premises (@p323)) % 2.41/2.69 (step-pop @p325 :rule scope :premises (@p324)) % 2.41/2.69 (step @p184 :rule process_scope :premises (@p325) :args (@t167)) % 2.41/2.69 (step @p189 :rule implies_elim :premises (@p184)) % 2.41/2.69 (step @p190 :rule resolution :premises (@p189 @p174) :args (true @t167)) % 2.41/2.69 (step @p191 :rule not_and :premises (@p190)) % 2.41/2.69 (step @p192 :rule eq_resolve :premises (@p191 @p160)) % 2.41/2.69 (step @p193 :rule chain_m_resolution :premises (@p192 @p155 @p151 @p142) :args (@t162 (@list false false true) (@list @t158 @t156 @t161))) % 2.41/2.69 (step @p194 :rule instantiate :premises (@p11) :args ((@list tptp.x tptp.x))) % 2.41/2.69 (step @p195 :rule cnf_or_pos :args (@t152)) % 2.41/2.69 (step @p196 :rule reordering :premises (@p195) :args ((or @t149 @t147 @t151 (not @t152)))) % 2.41/2.69 (step @p197 :rule chain_m_resolution :premises (@p196 @p194 @p193 @p141) :args (@t147 @t168 (@list @t148 @t151 @t152))) % 2.41/2.69 (step @p198 :rule cnf_or_pos :args (@t171)) % 2.41/2.69 (step @p199 :rule factoring :premises (@p198)) % 2.41/2.69 (step @p200 :rule reordering :premises (@p199) :args ((or @t170 @t169 (not @t171)))) % 2.41/2.69 (step @p201 :rule chain_m_resolution :premises (@p200 @p197 @p128) :args (@t169 @t172 (@list @t147 @t171))) % 2.41/2.69 (step @p202 :rule eq-symm :args (@t173 @t146)) % 2.41/2.69 (step @p203 :rule refl :args (@t96)) % 2.41/2.69 (step @p204 :rule cong :premises (@p203 @p202) :args ((=> @t96 @t174))) % 2.41/2.69 (assume-push @p326 @t96) % 2.41/2.69 (step @p206 :rule instantiate :premises (@p68) :args (@t175)) % 2.41/2.69 (step-pop @p327 :rule scope :premises (@p206)) % 2.41/2.69 (step @p207 :rule process_scope :premises (@p327) :args (@t174)) % 2.41/2.69 (step @p209 :rule eq_resolve :premises (@p207 @p204)) % 2.41/2.69 (step @p210 :rule implies_elim :premises (@p209)) % 2.41/2.69 (step @p211 :rule chain_m_resolution :premises (@p210 @p68) :args (@t176 @t143 (@list @t96))) % 2.41/2.69 (step @p212 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.y))) % 2.41/2.69 (step @p213 :rule instantiate :premises (@p3) :args (@t157)) % 2.41/2.69 (step @p214 :rule cnf_or_pos :args (@t178)) % 2.41/2.69 (step @p215 :rule reordering :premises (@p214) :args ((or @t136 @t177 (not @t178)))) % 2.41/2.69 (step @p216 :rule chain_m_resolution :premises (@p215 @p109 @p213) :args (@t177 @t160 (@list @t136 @t178))) % 2.41/2.69 (step @p217 :rule false_intro :premises (@p216)) % 2.41/2.69 (step @p218 :rule refl :args (@t134)) % 2.41/2.69 (step @p219 :rule instantiate :premises (@p127) :args ((@list @t153 tptp.x tptp.x))) % 2.41/2.69 (step @p166 :rule true_intro :premises (@p155)) % 2.41/2.69 (step @p146 :rule instantiate :premises (@p12) :args (@t155)) % 2.41/2.69 (step @p168 :rule refl :args (@t153)) % 2.41/2.69 (step @p220 :rule cong :premises (@p168 @p146) :args (@t179)) % 2.41/2.69 (step @p221 :rule trans :premises (@p220 @p166)) % 2.41/2.69 (step @p222 :rule true_elim :premises (@p221)) % 2.41/2.69 (step @p223 :rule cnf_or_pos :args (@t182)) % 2.41/2.69 (step @p224 :rule factoring :premises (@p223)) % 2.41/2.69 (step @p225 :rule reordering :premises (@p224) :args ((or @t181 @t180 (not @t182)))) % 2.41/2.69 (step @p226 :rule chain_m_resolution :premises (@p225 @p222 @p219) :args (@t180 @t172 (@list @t179 @t182))) % 2.41/2.69 (step @p227 :rule cong :premises (@p226 @p218) :args (@t183)) % 2.41/2.69 (step @p228 :rule trans :premises (@p227 @p217)) % 2.41/2.69 (step @p229 :rule false_elim :premises (@p228)) % 2.41/2.69 (step @p230 :rule cnf_or_pos :args (@t186)) % 2.41/2.69 (step @p231 :rule reordering :premises (@p230) :args ((or @t185 @t183 (not @t186)))) % 2.41/2.69 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p212) :args (@t185 @t160 (@list @t183 @t186))) % 2.41/2.69 (step @p233 :rule refl :args (@t188)) % 2.41/2.69 (step @p234 :rule refl :args (@t189)) % 2.41/2.69 (step @p235 :rule refl :args (@t190)) % 2.41/2.69 (step @p236 :rule bool-double-not-elim :args (@t184)) % 2.41/2.69 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234 @p233) :args ((or (not @t185) @t190 @t189 @t188))) % 2.41/2.69 (assume-push @p328 @t185) % 2.41/2.69 (assume-push @p329 @t176) % 2.41/2.69 (assume-push @p330 @t169) % 2.41/2.69 (assume-push @p331 @t185) % 2.41/2.69 (assume-push @p332 @t169) % 2.41/2.69 (assume-push @p333 @t176) % 2.41/2.69 (step @p244 :rule false_intro :premises (@p232)) % 2.41/2.69 (step @p245 :rule refl :args (tptp.universal_class)) % 2.41/2.69 (step @p246 :rule symm :premises (@p330)) % 2.41/2.69 (step @p206 :rule instantiate :premises (@p68) :args (@t175)) % 2.41/2.69 (step @p247 :rule trans :premises (@p206 @p246)) % 2.41/2.69 (step @p248 :rule cong :premises (@p247 @p245) :args (@t187)) % 2.41/2.69 (step @p249 :rule trans :premises (@p248 @p244)) % 2.41/2.69 (step @p250 :rule false_elim :premises (@p249)) % 2.41/2.69 (step-pop @p334 :rule scope :premises (@p250)) % 2.41/2.69 (step-pop @p335 :rule scope :premises (@p334)) % 2.41/2.69 (step-pop @p336 :rule scope :premises (@p335)) % 2.41/2.69 (step @p251 :rule process_scope :premises (@p336) :args (@t188)) % 2.41/2.69 (step @p255 :rule and_intro :premises (@p232 @p330 @p211)) % 2.41/2.69 (step @p256 :rule modus_ponens :premises (@p255 @p251)) % 2.41/2.69 (step-pop @p337 :rule scope :premises (@p256)) % 2.41/2.69 (step-pop @p338 :rule scope :premises (@p337)) % 2.41/2.69 (step-pop @p339 :rule scope :premises (@p338)) % 2.41/2.69 (step @p257 :rule process_scope :premises (@p339) :args (@t188)) % 2.41/2.69 (step @p261 :rule implies_elim :premises (@p257)) % 2.41/2.69 (step @p262 :rule cnf_and_neg :args (@t191)) % 2.41/2.69 (step @p263 :rule resolution :premises (@p262 @p261) :args (true @t191)) % 2.41/2.69 (step @p264 :rule eq_resolve :premises (@p263 @p237)) % 2.41/2.69 (step @p265 :rule chain_m_resolution :premises (@p264 @p232 @p211 @p201) :args (@t188 (@list true false false) (@list @t184 @t176 @t169))) % 2.41/2.69 (step @p266 :rule cnf_or_pos :args (@t194)) % 2.41/2.69 (step @p267 :rule reordering :premises (@p266) :args ((or @t193 @t187 (not @t194)))) % 2.41/2.69 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p121) :args (@t193 @t160 (@list @t187 @t194))) % 2.41/2.69 (step @p269 :rule cnf_or_pos :args (@t198)) % 2.41/2.69 (step @p270 :rule reordering :premises (@p269) :args ((or @t197 @t192 @t196 (not @t198)))) % 2.41/2.69 (step @p271 :rule chain_m_resolution :premises (@p270 @p69 @p268 @p120) :args (@t196 @t168 (@list @t97 @t192 @t198))) % 2.41/2.69 (step @p272 :rule instantiate :premises (@p11) :args ((@list @t137 @t137))) % 2.41/2.69 (step @p273 :rule refl :args (@t200)) % 2.41/2.69 (step @p274 :rule bool-double-not-elim :args (@t195)) % 2.41/2.69 (step @p275 :rule refl :args (@t201)) % 2.41/2.69 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args ((or @t201 (not @t196) @t200))) % 2.41/2.69 (assume-push @p340 @t199) % 2.41/2.69 (assume-push @p341 @t142) % 2.41/2.69 (assume-push @p342 @t196) % 2.41/2.69 (step @p165 :rule evaluate :args (@t166)) % 2.41/2.69 (step @p280 :rule true_intro :premises (@p272)) % 2.41/2.69 (step @p245 :rule refl :args (tptp.universal_class)) % 2.41/2.69 (step @p281 :rule cong :premises (@p119 @p245) :args (@t195)) % 2.41/2.69 (step @p282 :rule false_intro :premises (@p342)) % 2.41/2.69 (step @p283 :rule symm :premises (@p282)) % 2.41/2.69 (step @p284 :rule trans :premises (@p283 @p281 @p280)) % 2.41/2.69 (step @p285 false :rule eq_resolve :premises (@p284 @p165)) % 2.41/2.69 (step-pop @p343 :rule scope :premises (@p285)) % 2.41/2.69 (step-pop @p344 :rule scope :premises (@p343)) % 2.41/2.69 (step-pop @p345 :rule scope :premises (@p344)) % 2.41/2.69 (step @p286 :rule process_scope :premises (@p345) :args (false)) % 2.41/2.69 (assume-push @p346 @t142) % 2.41/2.69 (assume-push @p347 @t196) % 2.41/2.69 (assume-push @p348 @t199) % 2.41/2.69 (step @p293 :rule and_intro :premises (@p272 @p119 @p347)) % 2.41/2.69 (step-pop @p349 :rule scope :premises (@p293)) % 2.41/2.69 (step-pop @p350 :rule scope :premises (@p349)) % 2.41/2.69 (step-pop @p351 :rule scope :premises (@p350)) % 2.41/2.69 (step @p294 :rule process_scope :premises (@p351) :args (@t202)) % 2.41/2.69 (step @p298 :rule implies_elim :premises (@p294)) % 2.41/2.69 (step @p299 :rule resolution :premises (@p298 @p286) :args (true @t202)) % 2.41/2.69 (step @p300 :rule not_and :premises (@p299)) % 2.41/2.69 (step @p301 :rule eq_resolve :premises (@p300 @p276)) % 2.41/2.69 (step @p302 :rule reordering :premises (@p301) :args ((or @t195 @t201 @t200))) % 2.41/2.69 (step @p303 false :rule chain_m_resolution :premises (@p302 @p272 @p271 @p119) :args (false @t168 (@list @t199 @t195 @t142))) % 2.41/2.69 ) % 0.17/2.70 % SZS output end Proof % 0.17/2.70 % cvc5 exiting %------------------------------------------------------------------------------