%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET507-6 : 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 : n028.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 15.95s 16.18s % Output : Proof 15.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET507-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 15:54:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/15.82 --- Run --no-e-matching --full-saturate-quant at 6... % 15.95/16.18 % SZS status Unsatisfiable % 15.95/16.18 % SZS output start Proof % 15.95/16.18 ( % 15.95/16.18 (declare-sort $$unsorted 0) % 15.95/16.18 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.application_function $$unsorted) % 15.95/16.18 (declare-const tptp.singleton_relation $$unsorted) % 15.95/16.18 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.operation (-> $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.function (-> $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.element_relation $$unsorted) % 15.95/16.18 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.universal_class $$unsorted) % 15.95/16.18 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.successor_relation $$unsorted) % 15.95/16.18 (declare-const tptp.choice $$unsorted) % 15.95/16.18 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.subset_relation $$unsorted) % 15.95/16.18 (declare-const tptp.null_class $$unsorted) % 15.95/16.18 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.omega $$unsorted) % 15.95/16.18 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.95/16.18 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.composition_function $$unsorted) % 15.95/16.18 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.identity_relation $$unsorted) % 15.95/16.18 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 15.95/16.18 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.95/16.19 (declare-const tptp.domain_relation $$unsorted) % 15.95/16.19 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.19 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 15.95/16.19 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 15.95/16.19 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 15.95/16.19 (declare-const tptp.inductive (-> $$unsorted Bool)) % 15.95/16.19 (define @t1 () (@var "Y" $$unsorted)) % 15.95/16.19 (define @t2 () (@var "U" $$unsorted)) % 15.95/16.19 (define @t3 () (@var "X" $$unsorted)) % 15.95/16.19 (define @t4 () (tptp.member @t2 @t3)) % 15.95/16.19 (define @t5 () (not @t4)) % 15.95/16.19 (define @t6 () (tptp.subclass @t3 @t1)) % 15.95/16.19 (define @t7 () (not @t6)) % 15.95/16.19 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 15.95/16.19 (define @t9 () (@list @t3 @t1)) % 15.95/16.19 (define @t10 () (@list @t3)) % 15.95/16.19 (define @t11 () (= @t3 @t1)) % 15.95/16.19 (define @t12 () (not @t11)) % 15.95/16.19 (define @t13 () (tptp.subclass @t1 @t3)) % 15.95/16.19 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 15.95/16.19 (define @t15 () (not (tptp.member @t3 tptp.universal_class))) % 15.95/16.19 (define @t16 () (not (tptp.member @t1 tptp.universal_class))) % 15.95/16.19 (define @t17 () (tptp.singleton @t3)) % 15.95/16.19 (define @t18 () (tptp.ordered_pair @t3 @t1)) % 15.95/16.19 (define @t19 () (tptp.singleton @t1)) % 15.95/16.19 (define @t20 () (tptp.cross_product @t3 @t1)) % 15.95/16.19 (define @t21 () (@var "V" $$unsorted)) % 15.95/16.19 (define @t22 () (tptp.ordered_pair @t2 @t21)) % 15.95/16.19 (define @t23 () (tptp.member @t22 @t20)) % 15.95/16.19 (define @t24 () (not @t23)) % 15.95/16.19 (define @t25 () (@list @t2 @t21 @t3 @t1)) % 15.95/16.19 (define @t26 () (tptp.member @t21 @t1)) % 15.95/16.19 (define @t27 () (@var "Z" $$unsorted)) % 15.95/16.19 (define @t28 () (@list @t27 @t3 @t1)) % 15.95/16.19 (define @t29 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 15.95/16.19 (define @t30 () (tptp.subclass tptp.element_relation @t29)) % 15.95/16.19 (define @t31 () (tptp.member @t3 @t1)) % 15.95/16.19 (define @t32 () (tptp.member @t18 tptp.element_relation)) % 15.95/16.19 (define @t33 () (not (tptp.member @t18 @t29))) % 15.95/16.19 (define @t34 () (tptp.member @t27 @t3)) % 15.95/16.19 (define @t35 () (tptp.intersection @t3 @t1)) % 15.95/16.19 (define @t36 () (tptp.member @t27 @t35)) % 15.95/16.19 (define @t37 () (not @t36)) % 15.95/16.19 (define @t38 () (tptp.member @t27 @t1)) % 15.95/16.19 (define @t39 () (not @t34)) % 15.95/16.19 (define @t40 () (tptp.complement @t3)) % 15.95/16.19 (define @t41 () (tptp.member @t27 @t40)) % 15.95/16.19 (define @t42 () (@list @t27 @t3)) % 15.95/16.19 (define @t43 () (not (tptp.member @t27 tptp.universal_class))) % 15.95/16.19 (define @t44 () (tptp.complement (tptp.intersection @t40 (tptp.complement @t1)))) % 15.95/16.19 (define @t45 () (@var "Xr" $$unsorted)) % 15.95/16.19 (define @t46 () (tptp.restrict @t45 @t3 @t1)) % 15.95/16.19 (define @t47 () (tptp.domain_of @t3)) % 15.95/16.19 (define @t48 () (tptp.member @t27 @t47)) % 15.95/16.19 (define @t49 () (= (tptp.restrict @t3 (tptp.singleton @t27) tptp.universal_class) tptp.null_class)) % 15.95/16.19 (define @t50 () (tptp.cross_product @t29 tptp.universal_class)) % 15.95/16.19 (define @t51 () (tptp.rotate @t3)) % 15.95/16.19 (define @t52 () (@var "W" $$unsorted)) % 15.95/16.19 (define @t53 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t52) @t2) @t3)) % 15.95/16.19 (define @t54 () (tptp.ordered_pair @t22 @t52)) % 15.95/16.19 (define @t55 () (tptp.member @t54 @t51)) % 15.95/16.19 (define @t56 () (@list @t2 @t21 @t52 @t3)) % 15.95/16.19 (define @t57 () (not (tptp.member @t54 @t50))) % 15.95/16.19 (define @t58 () (tptp.flip @t3)) % 15.95/16.19 (define @t59 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t21 @t2) @t52) @t3)) % 15.95/16.19 (define @t60 () (tptp.member @t54 @t58)) % 15.95/16.19 (define @t61 () (@list @t1)) % 15.95/16.19 (define @t62 () (tptp.successor @t3)) % 15.95/16.19 (define @t63 () (= @t62 @t1)) % 15.95/16.19 (define @t64 () (tptp.member @t18 tptp.successor_relation)) % 15.95/16.19 (define @t65 () (tptp.member tptp.null_class @t3)) % 15.95/16.19 (define @t66 () (tptp.inductive @t3)) % 15.95/16.19 (define @t67 () (not @t66)) % 15.95/16.19 (define @t68 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 15.95/16.19 (define @t69 () (tptp.sum_class @t3)) % 15.95/16.19 (define @t70 () (@var "Yr" $$unsorted)) % 15.95/16.19 (define @t71 () (tptp.compose @t70 @t45)) % 15.95/16.19 (define @t72 () (tptp.member @t27 (tptp.image @t70 (tptp.image @t45 @t19)))) % 15.95/16.19 (define @t73 () (tptp.ordered_pair @t1 @t27)) % 15.95/16.19 (define @t74 () (tptp.member @t73 @t71)) % 15.95/16.19 (define @t75 () (not (tptp.member @t73 @t29))) % 15.95/16.19 (define @t76 () (tptp.inverse @t3)) % 15.95/16.19 (define @t77 () (tptp.compose @t3 @t76)) % 15.95/16.19 (define @t78 () (tptp.subclass @t77 tptp.identity_relation)) % 15.95/16.19 (define @t79 () (tptp.single_valued_class @t3)) % 15.95/16.19 (define @t80 () (@var "Xf" $$unsorted)) % 15.95/16.19 (define @t81 () (tptp.subclass @t80 @t29)) % 15.95/16.19 (define @t82 () (tptp.function @t80)) % 15.95/16.19 (define @t83 () (not @t82)) % 15.95/16.19 (define @t84 () (@list @t80)) % 15.95/16.19 (define @t85 () (tptp.inverse @t80)) % 15.95/16.19 (define @t86 () (tptp.subclass (tptp.compose @t80 @t85) tptp.identity_relation)) % 15.95/16.19 (define @t87 () (tptp.regular @t3)) % 15.95/16.19 (define @t88 () (= @t3 tptp.null_class)) % 15.95/16.19 (define @t89 () (tptp.intersection @t3 @t87)) % 15.95/16.19 (define @t90 () (or @t88 (= @t89 tptp.null_class))) % 15.95/16.19 (define @t91 () (forall @t10 @t90)) % 15.95/16.19 (define @t92 () (@list @t80 @t1)) % 15.95/16.19 (define @t93 () (tptp.one_to_one @t80)) % 15.95/16.19 (define @t94 () (not @t93)) % 15.95/16.19 (define @t95 () (tptp.function @t85)) % 15.95/16.19 (define @t96 () (tptp.inverse tptp.element_relation)) % 15.95/16.19 (define @t97 () (tptp.complement tptp.element_relation)) % 15.95/16.19 (define @t98 () (tptp.operation @t80)) % 15.95/16.19 (define @t99 () (not @t98)) % 15.95/16.19 (define @t100 () (tptp.domain_of @t80)) % 15.95/16.19 (define @t101 () (tptp.domain_of @t100)) % 15.95/16.19 (define @t102 () (= (tptp.cross_product @t101 @t101) @t100)) % 15.95/16.19 (define @t103 () (tptp.range_of @t80)) % 15.95/16.19 (define @t104 () (tptp.subclass @t103 @t101)) % 15.95/16.19 (define @t105 () (@var "Xh" $$unsorted)) % 15.95/16.19 (define @t106 () (tptp.function @t105)) % 15.95/16.19 (define @t107 () (@var "Xf2" $$unsorted)) % 15.95/16.19 (define @t108 () (@var "Xf1" $$unsorted)) % 15.95/16.19 (define @t109 () (tptp.compatible @t105 @t108 @t107)) % 15.95/16.19 (define @t110 () (not @t109)) % 15.95/16.19 (define @t111 () (@list @t105 @t108 @t107)) % 15.95/16.19 (define @t112 () (tptp.domain_of @t108)) % 15.95/16.19 (define @t113 () (= (tptp.domain_of @t112) (tptp.domain_of @t105))) % 15.95/16.19 (define @t114 () (tptp.subclass (tptp.range_of @t105) (tptp.domain_of (tptp.domain_of @t107)))) % 15.95/16.19 (define @t115 () (tptp.operation @t108)) % 15.95/16.19 (define @t116 () (tptp.homomorphism @t105 @t108 @t107)) % 15.95/16.19 (define @t117 () (not @t116)) % 15.95/16.19 (define @t118 () (tptp.operation @t107)) % 15.95/16.19 (define @t119 () (tptp.not_homomorphism2 @t105 @t108 @t107)) % 15.95/16.19 (define @t120 () (tptp.not_homomorphism1 @t105 @t108 @t107)) % 15.95/16.19 (define @t121 () (tptp.ordered_pair @t120 @t119)) % 15.95/16.19 (define @t122 () (not @t118)) % 15.95/16.19 (define @t123 () (not @t115)) % 15.95/16.19 (define @t124 () (@list @t108 @t107 @t105)) % 15.95/16.19 (define @t125 () (tptp.compose_class @t3)) % 15.95/16.19 (define @t126 () (tptp.compose @t3 @t1)) % 15.95/16.19 (define @t127 () (= @t126 @t27)) % 15.95/16.19 (define @t128 () (tptp.member @t73 @t125)) % 15.95/16.19 (define @t129 () (@list @t1 @t27 @t3)) % 15.95/16.19 (define @t130 () (tptp.cross_product tptp.universal_class @t29)) % 15.95/16.19 (define @t131 () (tptp.ordered_pair @t3 @t73)) % 15.95/16.19 (define @t132 () (@list @t3 @t1 @t27)) % 15.95/16.19 (define @t133 () (tptp.single_valued1 @t3)) % 15.95/16.19 (define @t134 () (tptp.not_subclass_element @t77 tptp.identity_relation)) % 15.95/16.19 (define @t135 () (tptp.single_valued2 @t3)) % 15.95/16.19 (define @t136 () (tptp.member @t1 @t47)) % 15.95/16.19 (define @t137 () (not (tptp.member @t131 tptp.application_function))) % 15.95/16.19 (define @t138 () (tptp.apply @t3 @t1)) % 15.95/16.19 (define @t139 () (not (tptp.maps @t80 @t3 @t1))) % 15.95/16.19 (define @t140 () (@list @t80 @t3 @t1)) % 15.95/16.19 (define @t141 () (tptp.subclass @t103 @t1)) % 15.95/16.19 (define @t142 () (tptp.subclass tptp.universal_class tptp.null_class)) % 15.95/16.19 (define @t143 () (@list tptp.universal_class tptp.element_relation)) % 15.95/16.19 (define @t144 () (@list tptp.element_relation)) % 15.95/16.19 (define @t145 () (tptp.subclass tptp.universal_class tptp.element_relation)) % 15.95/16.19 (define @t146 () (tptp.not_subclass_element tptp.universal_class tptp.element_relation)) % 15.95/16.19 (define @t147 () (tptp.member @t146 tptp.universal_class)) % 15.95/16.19 (define @t148 () (or @t147 @t145)) % 15.95/16.19 (define @t149 () (tptp.member @t146 tptp.element_relation)) % 15.95/16.19 (define @t150 () (not @t149)) % 15.95/16.19 (define @t151 () (or @t150 @t145)) % 15.95/16.19 (define @t152 () (= tptp.element_relation tptp.null_class)) % 15.95/16.19 (define @t153 () (not @t152)) % 15.95/16.19 (define @t154 () (not @t142)) % 15.95/16.19 (define @t155 () (not @t145)) % 15.95/16.19 (define @t156 () (= false true)) % 15.95/16.19 (define @t157 () (and @t142 @t152 @t155)) % 15.95/16.19 (define @t158 () (tptp.member @t146 tptp.null_class)) % 15.95/16.19 (define @t159 () (not @t147)) % 15.95/16.19 (define @t160 () (or @t154 @t159 @t158)) % 15.95/16.19 (define @t161 () (tptp.regular tptp.element_relation)) % 15.95/16.19 (define @t162 () (tptp.intersection tptp.element_relation @t161)) % 15.95/16.19 (define @t163 () (tptp.member @t146 @t162)) % 15.95/16.19 (define @t164 () (not @t163)) % 15.95/16.19 (define @t165 () (or @t164 @t149)) % 15.95/16.19 (define @t166 () (= tptp.null_class @t162)) % 15.95/16.19 (define @t167 () (or @t152 @t166)) % 15.95/16.19 (define @t168 () (not @t158)) % 15.95/16.19 (define @t169 () (not @t166)) % 15.95/16.19 (define @t170 () (and @t158 @t166 @t164)) % 15.95/16.19 (define @t171 () (= tptp.universal_class tptp.element_relation)) % 15.95/16.19 (define @t172 () (tptp.subclass tptp.element_relation tptp.universal_class)) % 15.95/16.19 (define @t173 () (not @t172)) % 15.95/16.19 (define @t174 () (or @t155 @t173 @t171)) % 15.95/16.19 (define @t175 () (@list false false false)) % 15.95/16.19 (define @t176 () (@list tptp.universal_class tptp.universal_class)) % 15.95/16.19 (define @t177 () (tptp.singleton tptp.universal_class)) % 15.95/16.19 (define @t178 () (tptp.unordered_pair tptp.universal_class @t177)) % 15.95/16.19 (define @t179 () (tptp.subclass tptp.universal_class @t29)) % 15.95/16.19 (define @t180 () (and @t30 @t171)) % 15.95/16.19 (define @t181 () (not @t171)) % 15.95/16.19 (define @t182 () (@list false false)) % 15.95/16.19 (define @t183 () (= tptp.universal_class @t29)) % 15.95/16.19 (define @t184 () (tptp.subclass @t29 tptp.universal_class)) % 15.95/16.19 (define @t185 () (not @t184)) % 15.95/16.19 (define @t186 () (not @t179)) % 15.95/16.19 (define @t187 () (or @t186 @t185 @t183)) % 15.95/16.19 (define @t188 () (tptp.ordered_pair tptp.universal_class tptp.universal_class)) % 15.95/16.19 (define @t189 () (tptp.unordered_pair @t177 @t178)) % 15.95/16.19 (define @t190 () (= @t189 @t188)) % 15.95/16.19 (define @t191 () (tptp.member @t189 tptp.universal_class)) % 15.95/16.19 (define @t192 () (tptp.cross_product tptp.element_relation tptp.element_relation)) % 15.95/16.19 (define @t193 () (tptp.cross_product tptp.universal_class tptp.element_relation)) % 15.95/16.19 (define @t194 () (tptp.member @t188 @t29)) % 15.95/16.19 (define @t195 () (and @t171 @t190 @t183 @t191)) % 15.95/16.19 (define @t196 () (tptp.member tptp.universal_class tptp.universal_class)) % 15.95/16.19 (define @t197 () (not @t194)) % 15.95/16.19 (define @t198 () (or @t197 @t196)) % 15.95/16.19 (define @t199 () (not @t196)) % 15.95/16.19 (define @t200 () (tptp.complement tptp.universal_class)) % 15.95/16.19 (define @t201 () (tptp.member tptp.universal_class @t200)) % 15.95/16.19 (define @t202 () (not @t201)) % 15.95/16.19 (define @t203 () (or @t202 @t199)) % 15.95/16.19 (define @t204 () (tptp.member tptp.universal_class tptp.null_class)) % 15.95/16.19 (define @t205 () (or @t154 @t199 @t204)) % 15.95/16.19 (define @t206 () (tptp.regular @t97)) % 15.95/16.19 (define @t207 () (= tptp.null_class (tptp.intersection @t97 @t206))) % 15.95/16.19 (define @t208 () (or (= @t97 tptp.null_class) @t207)) % 15.95/16.19 (define @t209 () (forall @t10 (or @t88 (= tptp.null_class @t89)))) % 15.95/16.19 (define @t210 () (= tptp.null_class @t97)) % 15.95/16.19 (define @t211 () (or @t210 @t207)) % 15.95/16.19 (define @t212 () (tptp.intersection @t200 @t206)) % 15.95/16.19 (define @t213 () (tptp.member tptp.universal_class @t212)) % 15.95/16.19 (define @t214 () (not @t213)) % 15.95/16.19 (define @t215 () (or @t214 @t201)) % 15.95/16.19 (define @t216 () (@list true false)) % 15.95/16.19 (define @t217 () (not @t204)) % 15.95/16.19 (define @t218 () (not @t207)) % 15.95/16.19 (define @t219 () (and @t204 @t207 @t171 @t214)) % 15.95/16.19 (define @t220 () (not @t210)) % 15.95/16.19 (define @t221 () (and @t204 @t210 @t171 @t202)) % 15.95/16.19 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 15.95/16.19 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 15.95/16.19 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 15.95/16.19 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 15.95/16.19 (assume @p5 (forall @t9 (or @t12 @t6))) % 15.95/16.19 (assume @p6 (forall @t9 (or @t12 @t13))) % 15.95/16.19 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 15.95/16.19 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t14)) (= @t2 @t3) (= @t2 @t1)))) % 15.95/16.19 (assume @p9 (forall @t9 (or @t15 (tptp.member @t3 @t14)))) % 15.95/16.19 (assume @p10 (forall (@list @t1 @t3) (or @t16 (tptp.member @t1 @t14)))) % 15.95/16.19 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 15.95/16.19 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t17))) % 15.95/16.19 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t17 (tptp.unordered_pair @t3 @t19)) @t18))) % 15.95/16.19 (assume @p14 (forall @t25 (or @t24 @t4))) % 15.95/16.19 (assume @p15 (forall @t25 (or @t24 @t26))) % 15.95/16.19 (assume @p16 (forall (@list @t2 @t3 @t21 @t1) (or @t5 (not @t26) @t23))) % 15.95/16.19 (assume @p17 (forall @t28 (or (not (tptp.member @t27 @t20)) (= (tptp.ordered_pair (tptp.first @t27) (tptp.second @t27)) @t27)))) % 15.95/16.19 (assume @p18 @t30) % 15.95/16.19 (assume @p19 (forall @t9 (or (not @t32) @t31))) % 15.95/16.19 (assume @p20 (forall @t9 (or @t33 (not @t31) @t32))) % 15.95/16.19 (assume @p21 (forall @t28 (or @t37 @t34))) % 15.95/16.19 (assume @p22 (forall @t28 (or @t37 @t38))) % 15.95/16.19 (assume @p23 (forall @t28 (or @t39 (not @t38) @t36))) % 15.95/16.19 (assume @p24 (forall @t42 (or (not @t41) @t39))) % 15.95/16.19 (assume @p25 (forall @t42 (or @t43 @t41 @t34))) % 15.95/16.19 (assume @p26 (forall @t9 (= @t44 (tptp.union @t3 @t1)))) % 15.95/16.19 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t35) @t44) (tptp.symmetric_difference @t3 @t1)))) % 15.95/16.19 (assume @p28 (forall (@list @t45 @t3 @t1) (= (tptp.intersection @t45 @t20) @t46))) % 15.95/16.19 (assume @p29 (forall (@list @t3 @t1 @t45) (= (tptp.intersection @t20 @t45) @t46))) % 15.95/16.19 (assume @p30 (forall (@list @t3 @t27) (or (not @t49) (not @t48)))) % 15.95/16.19 (assume @p31 (forall @t42 (or @t43 @t49 @t48))) % 15.95/16.19 (assume @p32 (forall @t10 (tptp.subclass @t51 @t50))) % 15.95/16.19 (assume @p33 (forall @t56 (or (not @t55) @t53))) % 15.95/16.19 (assume @p34 (forall (@list @t21 @t52 @t2 @t3) (or (not @t53) @t57 @t55))) % 15.95/16.19 (assume @p35 (forall @t10 (tptp.subclass @t58 @t50))) % 15.95/16.19 (assume @p36 (forall @t56 (or (not @t60) @t59))) % 15.95/16.19 (assume @p37 (forall (@list @t21 @t2 @t52 @t3) (or (not @t59) @t57 @t60))) % 15.95/16.19 (assume @p38 (forall @t61 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 15.95/16.19 (assume @p39 (forall (@list @t27) (= (tptp.domain_of (tptp.inverse @t27)) (tptp.range_of @t27)))) % 15.95/16.19 (assume @p40 (forall @t28 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t27 @t3 @t19) tptp.null_class)) (tptp.domain @t27 @t3 @t1)))) % 15.95/16.19 (assume @p41 (forall @t28 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t27 @t17 @t1) tptp.null_class)) (tptp.range @t27 @t3 @t1)))) % 15.95/16.19 (assume @p42 (forall (@list @t45 @t3) (= (tptp.range_of (tptp.restrict @t45 @t3 tptp.universal_class)) (tptp.image @t45 @t3)))) % 15.95/16.19 (assume @p43 (forall @t10 (= (tptp.union @t3 @t17) @t62))) % 15.95/16.19 (assume @p44 (tptp.subclass tptp.successor_relation @t29)) % 15.95/16.19 (assume @p45 (forall @t9 (or (not @t64) @t63))) % 15.95/16.19 (assume @p46 (forall @t9 (or (not @t63) @t33 @t64))) % 15.95/16.19 (assume @p47 (forall @t10 (or @t67 @t65))) % 15.95/16.19 (assume @p48 (forall @t10 (or @t67 @t68))) % 15.95/16.19 (assume @p49 (forall @t10 (or (not @t65) (not @t68) @t66))) % 15.95/16.19 (assume @p50 (tptp.inductive tptp.omega)) % 15.95/16.19 (assume @p51 (forall @t61 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 15.95/16.19 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 15.95/16.19 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t69))) % 15.95/16.19 (assume @p54 (forall @t10 (or @t15 (tptp.member @t69 tptp.universal_class)))) % 15.95/16.19 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t40)) (tptp.power_class @t3)))) % 15.95/16.19 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 15.95/16.19 (assume @p57 (forall (@list @t70 @t45) (tptp.subclass @t71 @t29))) % 15.95/16.19 (assume @p58 (forall (@list @t1 @t27 @t70 @t45) (or (not @t74) @t72))) % 15.95/16.19 (assume @p59 (forall (@list @t27 @t70 @t45 @t1) (or (not @t72) @t75 @t74))) % 15.95/16.19 (assume @p60 (forall @t10 (or (not @t79) @t78))) % 15.95/16.19 (assume @p61 (forall @t10 (or (not @t78) @t79))) % 15.95/16.19 (assume @p62 (forall @t84 (or @t83 @t81))) % 15.95/16.19 (assume @p63 (forall @t84 (or @t83 @t86))) % 15.95/16.19 (assume @p64 (forall @t84 (or (not @t81) (not @t86) @t82))) % 15.95/16.19 (assume @p65 (forall (@list @t80 @t3) (or @t83 @t15 (tptp.member (tptp.image @t80 @t3) tptp.universal_class)))) % 15.95/16.19 (assume @p66 (forall @t10 (or @t88 (tptp.member @t87 @t3)))) % 15.95/16.19 (assume @p67 @t91) % 15.95/16.19 (assume @p68 (forall @t92 (= (tptp.sum_class (tptp.image @t80 @t19)) (tptp.apply @t80 @t1)))) % 15.95/16.19 (assume @p69 (tptp.function tptp.choice)) % 15.95/16.19 (assume @p70 (forall @t61 (or @t16 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 15.95/16.19 (assume @p71 (forall @t84 (or @t94 @t82))) % 15.95/16.19 (assume @p72 (forall @t84 (or @t94 @t95))) % 15.95/16.19 (assume @p73 (forall @t84 (or (not @t95) @t83 @t93))) % 15.95/16.19 (assume @p74 (= (tptp.intersection @t29 (tptp.intersection @t29 (tptp.complement (tptp.compose @t97 @t96)))) tptp.subset_relation)) % 15.95/16.19 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 15.95/16.19 (assume @p76 (forall (@list @t45) (= (tptp.complement (tptp.domain_of (tptp.intersection @t45 tptp.identity_relation))) (tptp.diagonalise @t45)))) % 15.95/16.19 (assume @p77 (forall @t10 (= (tptp.intersection @t47 (tptp.diagonalise (tptp.compose @t96 @t3))) (tptp.cantor @t3)))) % 15.95/16.19 (assume @p78 (forall @t84 (or @t99 @t82))) % 15.95/16.19 (assume @p79 (forall @t84 (or @t99 @t102))) % 15.95/16.19 (assume @p80 (forall @t84 (or @t99 @t104))) % 15.95/16.19 (assume @p81 (forall @t84 (or @t83 (not @t102) (not @t104) @t98))) % 15.95/16.19 (assume @p82 (forall @t111 (or @t110 @t106))) % 15.95/16.19 (assume @p83 (forall @t111 (or @t110 @t113))) % 15.95/16.19 (assume @p84 (forall @t111 (or @t110 @t114))) % 15.95/16.19 (assume @p85 (forall @t111 (or (not @t106) (not @t113) (not @t114) @t109))) % 15.95/16.19 (assume @p86 (forall @t111 (or @t117 @t115))) % 15.95/16.19 (assume @p87 (forall @t111 (or @t117 @t118))) % 15.95/16.19 (assume @p88 (forall @t111 (or @t117 @t109))) % 15.95/16.19 (assume @p89 (forall (@list @t105 @t108 @t107 @t3 @t1) (or @t117 (not (tptp.member @t18 @t112)) (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t3) (tptp.apply @t105 @t1))) (tptp.apply @t105 (tptp.apply @t108 @t18)))))) % 15.95/16.19 (assume @p90 (forall @t124 (or @t123 @t122 @t110 (tptp.member @t121 @t112) @t116))) % 15.95/16.19 (assume @p91 (forall @t124 (or @t123 @t122 @t110 (not (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t120) (tptp.apply @t105 @t119))) (tptp.apply @t105 (tptp.apply @t108 @t121)))) @t116))) % 15.95/16.19 (assume @p92 (forall @t10 (tptp.subclass @t125 @t29))) % 15.95/16.19 (assume @p93 (forall @t129 (or (not @t128) @t127))) % 15.95/16.19 (assume @p94 (forall @t129 (or @t75 (not @t127) @t128))) % 15.95/16.19 (assume @p95 (tptp.subclass tptp.composition_function @t130)) % 15.95/16.19 (assume @p96 (forall @t132 (or (not (tptp.member @t131 tptp.composition_function)) @t127))) % 15.95/16.19 (assume @p97 (forall @t9 (or @t33 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t126)) tptp.composition_function)))) % 15.95/16.19 (assume @p98 (tptp.subclass tptp.domain_relation @t29)) % 15.95/16.19 (assume @p99 (forall @t9 (or (not (tptp.member @t18 tptp.domain_relation)) (= @t47 @t1)))) % 15.95/16.19 (assume @p100 (forall @t10 (or @t15 (tptp.member (tptp.ordered_pair @t3 @t47) tptp.domain_relation)))) % 15.95/16.19 (assume @p101 (forall @t10 (= (tptp.first @t134) @t133))) % 15.95/16.19 (assume @p102 (forall @t10 (= (tptp.second @t134) @t135))) % 15.95/16.19 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t76 (tptp.singleton @t133)) @t135) (tptp.single_valued3 @t3)))) % 15.95/16.19 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 15.95/16.19 (assume @p105 (tptp.subclass tptp.application_function @t130)) % 15.95/16.19 (assume @p106 (forall @t132 (or @t137 @t136))) % 15.95/16.19 (assume @p107 (forall @t132 (or @t137 (= @t138 @t27)))) % 15.95/16.19 (assume @p108 (forall @t132 (or (not (tptp.member @t131 @t130)) (not @t136) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t138)) tptp.application_function)))) % 15.95/16.19 (assume @p109 (forall @t140 (or @t139 @t82))) % 15.95/16.19 (assume @p110 (forall @t140 (or @t139 (= @t100 @t3)))) % 15.95/16.19 (assume @p111 (forall @t140 (or @t139 @t141))) % 15.95/16.19 (assume @p112 (forall @t92 (or @t83 (not @t141) (tptp.maps @t80 @t100 @t1)))) % 15.95/16.19 (assume @p113 @t142) % 15.95/16.19 (step @p114 :rule instantiate :premises (@p7) :args (@t143)) % 15.95/16.19 (step @p115 :rule instantiate :premises (@p4) :args (@t144)) % 15.95/16.19 (step @p116 :rule instantiate :premises (@p2) :args (@t143)) % 15.95/16.19 (step @p117 :rule cnf_or_pos :args (@t148)) % 15.95/16.19 (step @p118 :rule reordering :premises (@p117) :args ((or @t145 @t147 (not @t148)))) % 15.95/16.19 (step @p119 :rule instantiate :premises (@p3) :args (@t143)) % 15.95/16.19 (step @p120 :rule cnf_or_pos :args (@t151)) % 15.95/16.19 (step @p121 :rule reordering :premises (@p120) :args ((or @t145 @t150 (not @t151)))) % 15.95/16.19 (step @p122 :rule refl :args (@t153)) % 15.95/16.19 (step @p123 :rule bool-double-not-elim :args (@t145)) % 15.95/16.19 (step @p124 :rule refl :args (@t154)) % 15.95/16.19 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122) :args ((or @t154 (not @t155) @t153))) % 15.95/16.19 (assume-push @p383 @t142) % 15.95/16.19 (assume-push @p384 @t152) % 15.95/16.19 (assume-push @p385 @t155) % 15.95/16.19 (step @p129 :rule evaluate :args (@t156)) % 15.95/16.19 (step @p130 :rule true_intro :premises (@p113)) % 15.95/16.19 (step @p131 :rule refl :args (tptp.universal_class)) % 15.95/16.19 (step @p132 :rule cong :premises (@p131 @p384) :args (@t145)) % 15.95/16.19 (step @p133 :rule false_intro :premises (@p385)) % 15.95/16.19 (step @p134 :rule symm :premises (@p133)) % 15.95/16.19 (step @p135 :rule trans :premises (@p134 @p132 @p130)) % 15.95/16.19 (step @p136 false :rule eq_resolve :premises (@p135 @p129)) % 15.95/16.19 (step-pop @p386 :rule scope :premises (@p136)) % 15.95/16.19 (step-pop @p387 :rule scope :premises (@p386)) % 15.95/16.19 (step-pop @p388 :rule scope :premises (@p387)) % 15.95/16.19 (step @p137 :rule process_scope :premises (@p388) :args (false)) % 15.95/16.19 (assume-push @p389 @t142) % 15.95/16.19 (assume-push @p390 @t155) % 15.95/16.19 (assume-push @p391 @t152) % 15.95/16.19 (step @p144 :rule and_intro :premises (@p113 @p391 @p390)) % 15.95/16.19 (step-pop @p392 :rule scope :premises (@p144)) % 15.95/16.19 (step-pop @p393 :rule scope :premises (@p392)) % 15.95/16.19 (step-pop @p394 :rule scope :premises (@p393)) % 15.95/16.19 (step @p145 :rule process_scope :premises (@p394) :args (@t157)) % 15.95/16.19 (step @p149 :rule implies_elim :premises (@p145)) % 15.95/16.19 (step @p150 :rule resolution :premises (@p149 @p137) :args (true @t157)) % 15.95/16.19 (step @p151 :rule not_and :premises (@p150)) % 15.95/16.19 (step @p152 :rule eq_resolve :premises (@p151 @p125)) % 15.95/16.19 (step @p153 :rule instantiate :premises (@p1) :args ((@list tptp.universal_class tptp.null_class @t146))) % 15.95/16.19 (step @p154 :rule cnf_or_pos :args (@t160)) % 15.95/16.19 (step @p155 :rule reordering :premises (@p154) :args ((or @t154 @t159 @t158 (not @t160)))) % 15.95/16.19 (step @p156 :rule instantiate :premises (@p21) :args ((@list @t146 tptp.element_relation @t161))) % 15.95/16.19 (step @p157 :rule cnf_or_pos :args (@t165)) % 15.95/16.19 (step @p158 :rule reordering :premises (@p157) :args ((or @t149 @t164 (not @t165)))) % 15.95/16.19 (step @p159 :rule eq-symm :args (@t89 tptp.null_class)) % 15.95/16.19 (step @p160 :rule refl :args (@t88)) % 15.95/16.19 (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t90)) % 15.95/16.19 (step @p162 :rule cong :premises (@p161) :args (@t91)) % 15.95/16.19 (step @p163 :rule eq_resolve :premises (@p67 @p162)) % 15.95/16.19 (step @p164 :rule instantiate :premises (@p163) :args (@t144)) % 15.95/16.19 (step @p165 :rule cnf_or_pos :args (@t167)) % 15.95/16.19 (step @p166 :rule reordering :premises (@p165) :args ((or @t152 @t166 (not @t167)))) % 15.95/16.19 (step @p167 :rule refl :args (@t168)) % 15.95/16.19 (step @p168 :rule bool-double-not-elim :args (@t163)) % 15.95/16.19 (step @p169 :rule refl :args (@t169)) % 15.95/16.19 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167) :args ((or @t169 (not @t164) @t168))) % 15.95/16.19 (assume-push @p395 @t158) % 15.95/16.19 (assume-push @p396 @t166) % 15.95/16.19 (assume-push @p397 @t164) % 15.95/16.19 (step @p129 :rule evaluate :args (@t156)) % 15.95/16.19 (step @p174 :rule true_intro :premises (@p395)) % 15.95/16.19 (step @p175 :rule symm :premises (@p396)) % 15.95/16.19 (step @p176 :rule refl :args (@t146)) % 15.95/16.19 (step @p177 :rule cong :premises (@p176 @p175) :args (@t163)) % 15.95/16.19 (step @p178 :rule false_intro :premises (@p397)) % 15.95/16.19 (step @p179 :rule symm :premises (@p178)) % 15.95/16.19 (step @p180 :rule trans :premises (@p179 @p177 @p174)) % 15.95/16.19 (step @p181 false :rule eq_resolve :premises (@p180 @p129)) % 15.95/16.19 (step-pop @p398 :rule scope :premises (@p181)) % 15.95/16.19 (step-pop @p399 :rule scope :premises (@p398)) % 15.95/16.19 (step-pop @p400 :rule scope :premises (@p399)) % 15.95/16.19 (step @p182 :rule process_scope :premises (@p400) :args (false)) % 15.95/16.19 (assume-push @p401 @t166) % 15.95/16.19 (assume-push @p402 @t164) % 15.95/16.19 (assume-push @p403 @t158) % 15.95/16.19 (step @p189 :rule and_intro :premises (@p403 @p401 @p402)) % 15.95/16.19 (step-pop @p404 :rule scope :premises (@p189)) % 15.95/16.19 (step-pop @p405 :rule scope :premises (@p404)) % 15.95/16.19 (step-pop @p406 :rule scope :premises (@p405)) % 15.95/16.19 (step @p190 :rule process_scope :premises (@p406) :args (@t170)) % 15.95/16.19 (step @p194 :rule implies_elim :premises (@p190)) % 15.95/16.19 (step @p195 :rule resolution :premises (@p194 @p182) :args (true @t170)) % 15.95/16.19 (step @p196 :rule not_and :premises (@p195)) % 15.95/16.19 (step @p197 :rule eq_resolve :premises (@p196 @p170)) % 15.95/16.19 (step @p198 :rule chain_m_resolution :premises (@p197 @p166 @p164 @p158 @p156 @p155 @p153 @p113 @p152 @p113 @p121 @p119 @p118 @p116) :args (@t145 (@list false false true false false false false true false true false false false) (@list @t166 @t167 @t163 @t165 @t158 @t160 @t142 @t152 @t142 @t149 @t151 @t147 @t148))) % 15.95/16.19 (step @p199 :rule cnf_or_pos :args (@t174)) % 15.95/16.19 (step @p200 :rule reordering :premises (@p199) :args ((or @t155 @t173 @t171 (not @t174)))) % 15.95/16.19 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p115 @p114) :args (@t171 @t175 (@list @t145 @t172 @t174))) % 15.95/16.19 (step @p202 :rule instantiate :premises (@p24) :args (@t176)) % 15.95/16.19 (step @p203 :rule instantiate :premises (@p14) :args ((@list tptp.universal_class tptp.universal_class tptp.universal_class tptp.universal_class))) % 15.95/16.19 (step @p204 :rule instantiate :premises (@p11) :args ((@list @t177 @t178))) % 15.95/16.19 (step @p205 :rule instantiate :premises (@p7) :args ((@list tptp.universal_class @t29))) % 15.95/16.19 (step @p206 :rule instantiate :premises (@p4) :args ((@list @t29))) % 15.95/16.19 (assume-push @p407 @t30) % 15.95/16.19 (assume-push @p408 @t171) % 15.95/16.19 (assume-push @p409 @t30) % 15.95/16.19 (assume-push @p410 @t171) % 15.95/16.19 (step @p211 :rule true_intro :premises (@p18)) % 15.95/16.19 (step @p212 :rule refl :args (@t29)) % 15.95/16.19 (step @p213 :rule cong :premises (@p408 @p212) :args (@t179)) % 15.95/16.19 (step @p214 :rule trans :premises (@p213 @p211)) % 15.95/16.19 (step @p215 :rule true_elim :premises (@p214)) % 15.95/16.19 (step-pop @p411 :rule scope :premises (@p215)) % 15.95/16.19 (step-pop @p412 :rule scope :premises (@p411)) % 15.95/16.19 (step @p216 :rule process_scope :premises (@p412) :args (@t179)) % 15.95/16.19 (step @p219 :rule and_intro :premises (@p18 @p408)) % 15.95/16.19 (step @p220 :rule modus_ponens :premises (@p219 @p216)) % 15.95/16.19 (step-pop @p413 :rule scope :premises (@p220)) % 15.95/16.19 (step-pop @p414 :rule scope :premises (@p413)) % 15.95/16.19 (step @p221 :rule process_scope :premises (@p414) :args (@t179)) % 15.95/16.19 (step @p224 :rule implies_elim :premises (@p221)) % 15.95/16.19 (step @p225 :rule cnf_and_neg :args (@t180)) % 15.95/16.19 (step @p226 :rule resolution :premises (@p225 @p224) :args (true @t180)) % 15.95/16.19 (step @p227 :rule reordering :premises (@p226) :args ((or (not @t30) @t179 @t181))) % 15.95/16.19 (step @p228 :rule chain_m_resolution :premises (@p227 @p18 @p201) :args (@t179 @t182 (@list @t30 @t171))) % 15.95/16.19 (step @p229 :rule cnf_or_pos :args (@t187)) % 15.95/16.19 (step @p230 :rule reordering :premises (@p229) :args ((or @t186 @t185 @t183 (not @t187)))) % 15.95/16.19 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p206 @p205) :args (@t183 @t175 (@list @t179 @t184 @t187))) % 15.95/16.19 (step @p232 :rule instantiate :premises (@p13) :args (@t176)) % 15.95/16.19 (assume-push @p415 @t171) % 15.95/16.19 (assume-push @p416 @t190) % 15.95/16.19 (assume-push @p417 @t183) % 15.95/16.19 (assume-push @p418 @t191) % 15.95/16.19 (assume-push @p419 @t191) % 15.95/16.19 (assume-push @p420 @t190) % 15.95/16.19 (assume-push @p421 @t171) % 15.95/16.19 (assume-push @p422 @t183) % 15.95/16.19 (step @p241 :rule true_intro :premises (@p204)) % 15.95/16.19 (step @p242 :rule symm :premises (@p417)) % 15.95/16.19 (step @p243 :rule symm :premises (@p415)) % 15.95/16.19 (step @p244 :rule cong :premises (@p243 @p243) :args (@t192)) % 15.95/16.19 (step @p245 :rule trans :premises (@p244 @p242)) % 15.95/16.19 (step @p246 :rule symm :premises (@p232)) % 15.95/16.19 (step @p247 :rule cong :premises (@p246 @p245) :args ((tptp.member @t188 @t192))) % 15.95/16.19 (step @p248 :rule symm :premises (@p244)) % 15.95/16.19 (step @p131 :rule refl :args (tptp.universal_class)) % 15.95/16.19 (step @p249 :rule cong :premises (@p131 @p243) :args (@t193)) % 15.95/16.19 (step @p250 :rule trans :premises (@p249 @p248)) % 15.95/16.19 (step @p251 :rule refl :args (@t188)) % 15.95/16.19 (step @p252 :rule cong :premises (@p251 @p250) :args ((tptp.member @t188 @t193))) % 15.95/16.19 (step @p253 :rule symm :premises (@p249)) % 15.95/16.19 (step @p254 :rule cong :premises (@p251 @p253) :args (@t194)) % 15.95/16.19 (step @p255 :rule trans :premises (@p254 @p252 @p247 @p241)) % 15.95/16.19 (step @p256 :rule true_elim :premises (@p255)) % 15.95/16.19 (step-pop @p423 :rule scope :premises (@p256)) % 15.95/16.19 (step-pop @p424 :rule scope :premises (@p423)) % 15.95/16.19 (step-pop @p425 :rule scope :premises (@p424)) % 15.95/16.19 (step-pop @p426 :rule scope :premises (@p425)) % 15.95/16.19 (step @p257 :rule process_scope :premises (@p426) :args (@t194)) % 15.95/16.19 (step @p262 :rule and_intro :premises (@p204 @p232 @p415 @p417)) % 15.95/16.19 (step @p263 :rule modus_ponens :premises (@p262 @p257)) % 15.95/16.19 (step-pop @p427 :rule scope :premises (@p263)) % 15.95/16.19 (step-pop @p428 :rule scope :premises (@p427)) % 15.95/16.19 (step-pop @p429 :rule scope :premises (@p428)) % 15.95/16.19 (step-pop @p430 :rule scope :premises (@p429)) % 15.95/16.19 (step @p264 :rule process_scope :premises (@p430) :args (@t194)) % 15.95/16.19 (step @p269 :rule implies_elim :premises (@p264)) % 15.95/16.19 (step @p270 :rule cnf_and_neg :args (@t195)) % 15.95/16.19 (step @p271 :rule resolution :premises (@p270 @p269) :args (true @t195)) % 15.95/16.19 (step @p272 :rule reordering :premises (@p271) :args ((or @t194 @t181 (not @t190) (not @t183) (not @t191)))) % 15.95/16.19 (step @p273 :rule chain_m_resolution :premises (@p272 @p201 @p232 @p231 @p204) :args (@t194 (@list false false false false) (@list @t171 @t190 @t183 @t191))) % 15.95/16.19 (step @p274 :rule cnf_or_pos :args (@t198)) % 15.95/16.19 (step @p275 :rule reordering :premises (@p274) :args ((or @t196 @t197 (not @t198)))) % 15.95/16.19 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p203) :args (@t196 @t182 (@list @t194 @t198))) % 15.95/16.19 (step @p277 :rule cnf_or_pos :args (@t203)) % 15.95/16.19 (step @p278 :rule reordering :premises (@p277) :args ((or @t199 @t202 (not @t203)))) % 15.95/16.19 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p202) :args (@t202 @t182 (@list @t196 @t203))) % 15.95/16.19 (step @p280 :rule instantiate :premises (@p1) :args ((@list tptp.universal_class tptp.null_class tptp.universal_class))) % 15.95/16.19 (step @p281 :rule cnf_or_pos :args (@t205)) % 15.95/16.19 (step @p282 :rule reordering :premises (@p281) :args ((or @t154 @t199 @t204 (not @t205)))) % 15.95/16.19 (step @p283 :rule chain_m_resolution :premises (@p282 @p113 @p276 @p280) :args (@t204 @t175 (@list @t142 @t196 @t205))) % 15.95/16.19 (step @p284 :rule refl :args (@t207)) % 15.95/16.19 (step @p285 :rule eq-symm :args (@t97 tptp.null_class)) % 15.95/16.19 (step @p286 :rule nary_cong :premises (@p285 @p284) :args (@t208)) % 15.95/16.19 (step @p287 :rule refl :args (@t209)) % 15.95/16.19 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t209 @t208))) % 15.95/16.19 (assume-push @p431 @t209) % 15.95/16.19 (step @p290 :rule instantiate :premises (@p163) :args ((@list @t97))) % 15.95/16.19 (step-pop @p432 :rule scope :premises (@p290)) % 15.95/16.19 (step @p291 :rule process_scope :premises (@p432) :args (@t208)) % 15.95/16.19 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 15.95/16.19 (step @p294 :rule implies_elim :premises (@p293)) % 15.95/16.19 (step @p295 :rule chain_m_resolution :premises (@p294 @p163) :args (@t211 (@list false) (@list @t209))) % 15.95/16.19 (step @p296 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t200 @t206))) % 15.95/16.19 (step @p297 :rule cnf_or_pos :args (@t215)) % 15.95/16.19 (step @p298 :rule reordering :premises (@p297) :args ((or @t201 @t214 (not @t215)))) % 15.95/16.19 (step @p299 :rule chain_m_resolution :premises (@p298 @p279 @p296) :args (@t214 @t216 (@list @t201 @t215))) % 15.95/16.19 (step @p300 :rule refl :args (@t217)) % 15.95/16.19 (step @p301 :rule bool-double-not-elim :args (@t213)) % 15.95/16.19 (step @p302 :rule refl :args (@t218)) % 15.95/16.19 (step @p303 :rule refl :args (@t181)) % 15.95/16.19 (step @p304 :rule nary_cong :premises (@p303 @p302 @p301 @p300) :args ((or @t181 @t218 (not @t214) @t217))) % 15.95/16.19 (assume-push @p433 @t204) % 15.95/16.19 (assume-push @p434 @t207) % 15.95/16.19 (assume-push @p435 @t171) % 15.95/16.19 (assume-push @p436 @t214) % 15.95/16.19 (step @p129 :rule evaluate :args (@t156)) % 15.95/16.19 (step @p309 :rule true_intro :premises (@p433)) % 15.95/16.19 (step @p310 :rule symm :premises (@p434)) % 15.95/16.19 (step @p311 :rule refl :args (@t206)) % 15.95/16.19 (step @p312 :rule cong :premises (@p435) :args (@t200)) % 15.95/16.19 (step @p313 :rule cong :premises (@p312 @p311) :args (@t212)) % 15.95/16.19 (step @p314 :rule trans :premises (@p313 @p310)) % 15.95/16.19 (step @p131 :rule refl :args (tptp.universal_class)) % 15.95/16.19 (step @p315 :rule cong :premises (@p131 @p314) :args (@t213)) % 15.95/16.19 (step @p316 :rule false_intro :premises (@p436)) % 15.95/16.19 (step @p317 :rule symm :premises (@p316)) % 15.95/16.19 (step @p318 :rule trans :premises (@p317 @p315 @p309)) % 15.95/16.19 (step @p319 false :rule eq_resolve :premises (@p318 @p129)) % 15.95/16.19 (step-pop @p437 :rule scope :premises (@p319)) % 15.95/16.19 (step-pop @p438 :rule scope :premises (@p437)) % 15.95/16.19 (step-pop @p439 :rule scope :premises (@p438)) % 15.95/16.19 (step-pop @p440 :rule scope :premises (@p439)) % 15.95/16.19 (step @p320 :rule process_scope :premises (@p440) :args (false)) % 15.95/16.19 (assume-push @p441 @t171) % 15.95/16.19 (assume-push @p442 @t207) % 15.95/16.19 (assume-push @p443 @t214) % 15.95/16.19 (assume-push @p444 @t204) % 15.95/16.19 (step @p329 :rule and_intro :premises (@p444 @p442 @p441 @p443)) % 15.95/16.19 (step-pop @p445 :rule scope :premises (@p329)) % 15.95/16.19 (step-pop @p446 :rule scope :premises (@p445)) % 15.95/16.19 (step-pop @p447 :rule scope :premises (@p446)) % 15.95/16.19 (step-pop @p448 :rule scope :premises (@p447)) % 15.95/16.19 (step @p330 :rule process_scope :premises (@p448) :args (@t219)) % 15.95/16.19 (step @p335 :rule implies_elim :premises (@p330)) % 15.95/16.19 (step @p336 :rule resolution :premises (@p335 @p320) :args (true @t219)) % 15.95/16.19 (step @p337 :rule not_and :premises (@p336)) % 15.95/16.19 (step @p338 :rule eq_resolve :premises (@p337 @p304)) % 15.95/16.19 (step @p339 :rule chain_m_resolution :premises (@p338 @p201 @p299 @p283) :args (@t218 (@list false true false) (@list @t171 @t213 @t204))) % 15.95/16.19 (step @p340 :rule cnf_or_pos :args (@t211)) % 15.95/16.19 (step @p341 :rule reordering :premises (@p340) :args ((or @t210 @t207 (not @t211)))) % 15.95/16.19 (step @p342 :rule chain_m_resolution :premises (@p341 @p339 @p295) :args (@t210 @t216 (@list @t207 @t211))) % 15.95/16.19 (step @p343 :rule refl :args (@t220)) % 15.95/16.19 (step @p344 :rule bool-double-not-elim :args (@t201)) % 15.95/16.19 (step @p345 :rule nary_cong :premises (@p303 @p344 @p343 @p300) :args ((or @t181 (not @t202) @t220 @t217))) % 15.95/16.19 (assume-push @p449 @t204) % 15.95/16.19 (assume-push @p450 @t210) % 15.95/16.19 (assume-push @p451 @t171) % 15.95/16.19 (assume-push @p452 @t202) % 15.95/16.19 (step @p129 :rule evaluate :args (@t156)) % 15.95/16.19 (step @p350 :rule true_intro :premises (@p449)) % 15.95/16.19 (step @p351 :rule symm :premises (@p450)) % 15.95/16.19 (step @p131 :rule refl :args (tptp.universal_class)) % 15.95/16.19 (step @p352 :rule cong :premises (@p131 @p351) :args ((tptp.member tptp.universal_class @t97))) % 15.95/16.19 (step @p353 :rule cong :premises (@p451) :args (@t200)) % 15.95/16.19 (step @p354 :rule symm :premises (@p451)) % 15.95/16.19 (step @p355 :rule cong :premises (@p354 @p353) :args ((tptp.member tptp.element_relation @t200))) % 15.95/16.19 (step @p356 :rule refl :args (@t200)) % 15.95/16.19 (step @p357 :rule cong :premises (@p451 @p356) :args (@t201)) % 15.95/16.19 (step @p358 :rule false_intro :premises (@p452)) % 15.95/16.19 (step @p359 :rule symm :premises (@p358)) % 15.95/16.19 (step @p360 :rule trans :premises (@p359 @p357 @p355 @p352 @p350)) % 15.95/16.19 (step @p361 false :rule eq_resolve :premises (@p360 @p129)) % 15.95/16.19 (step-pop @p453 :rule scope :premises (@p361)) % 15.95/16.19 (step-pop @p454 :rule scope :premises (@p453)) % 15.95/16.19 (step-pop @p455 :rule scope :premises (@p454)) % 15.95/16.19 (step-pop @p456 :rule scope :premises (@p455)) % 15.95/16.19 (step @p362 :rule process_scope :premises (@p456) :args (false)) % 15.95/16.19 (assume-push @p457 @t171) % 15.95/16.19 (assume-push @p458 @t202) % 15.95/16.19 (assume-push @p459 @t210) % 15.95/16.19 (assume-push @p460 @t204) % 15.95/16.19 (step @p371 :rule and_intro :premises (@p460 @p459 @p457 @p458)) % 15.95/16.19 (step-pop @p461 :rule scope :premises (@p371)) % 15.95/16.19 (step-pop @p462 :rule scope :premises (@p461)) % 15.95/16.19 (step-pop @p463 :rule scope :premises (@p462)) % 15.95/16.19 (step-pop @p464 :rule scope :premises (@p463)) % 15.95/16.19 (step @p372 :rule process_scope :premises (@p464) :args (@t221)) % 15.95/16.19 (step @p377 :rule implies_elim :premises (@p372)) % 15.95/16.19 (step @p378 :rule resolution :premises (@p377 @p362) :args (true @t221)) % 15.95/16.19 (step @p379 :rule not_and :premises (@p378)) % 15.95/16.19 (step @p380 :rule eq_resolve :premises (@p379 @p345)) % 15.95/16.19 (step @p381 :rule reordering :premises (@p380) :args ((or @t201 @t181 @t220 @t217))) % 15.95/16.19 (step @p382 false :rule chain_m_resolution :premises (@p381 @p342 @p283 @p279 @p201) :args (false (@list false false true false) (@list @t210 @t204 @t201 @t171))) % 15.95/16.19 ) % 15.95/16.19 % SZS output end Proof % 15.95/16.19 % cvc5 exiting %------------------------------------------------------------------------------