%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET073-6 : 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 : n005.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 08:47:15 AM UTC 2026 % Result : Unsatisfiable 17.13s 17.35s % Output : Proof 17.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET073-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:50:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.52/15.76 --- Run --no-e-matching --full-saturate-quant at 6... % 17.13/17.35 % SZS status Unsatisfiable % 17.13/17.35 % SZS output start Proof % 17.13/17.36 ( % 17.13/17.36 (declare-sort $$unsorted 0) % 17.13/17.36 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.operation (-> $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.function (-> $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.element_relation $$unsorted) % 17.13/17.36 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.universal_class $$unsorted) % 17.13/17.36 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.successor_relation $$unsorted) % 17.13/17.36 (declare-const tptp.choice $$unsorted) % 17.13/17.36 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.y $$unsorted) % 17.13/17.36 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.subset_relation $$unsorted) % 17.13/17.36 (declare-const tptp.null_class $$unsorted) % 17.13/17.36 (declare-const tptp.x $$unsorted) % 17.13/17.36 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.omega $$unsorted) % 17.13/17.36 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.13/17.36 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.identity_relation $$unsorted) % 17.13/17.36 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 17.13/17.36 (declare-const tptp.inductive (-> $$unsorted Bool)) % 17.13/17.36 (define @t1 () (@var "Y" $$unsorted)) % 17.13/17.36 (define @t2 () (@var "U" $$unsorted)) % 17.13/17.36 (define @t3 () (@var "X" $$unsorted)) % 17.13/17.36 (define @t4 () (tptp.member @t2 @t3)) % 17.13/17.36 (define @t5 () (not @t4)) % 17.13/17.36 (define @t6 () (tptp.subclass @t3 @t1)) % 17.13/17.36 (define @t7 () (not @t6)) % 17.13/17.36 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 17.13/17.36 (define @t9 () (@list @t3 @t1)) % 17.13/17.36 (define @t10 () (@list @t3)) % 17.13/17.36 (define @t11 () (= @t3 @t1)) % 17.13/17.36 (define @t12 () (not @t11)) % 17.13/17.36 (define @t13 () (tptp.subclass @t1 @t3)) % 17.13/17.36 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 17.13/17.36 (define @t15 () (not (tptp.member @t2 @t14))) % 17.13/17.36 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 17.13/17.36 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 17.13/17.36 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 17.13/17.36 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 17.13/17.36 (define @t20 () (tptp.singleton @t3)) % 17.13/17.36 (define @t21 () (tptp.ordered_pair @t3 @t1)) % 17.13/17.36 (define @t22 () (tptp.singleton @t1)) % 17.13/17.36 (define @t23 () (tptp.cross_product @t3 @t1)) % 17.13/17.36 (define @t24 () (@var "V" $$unsorted)) % 17.13/17.36 (define @t25 () (tptp.ordered_pair @t2 @t24)) % 17.13/17.36 (define @t26 () (tptp.member @t25 @t23)) % 17.13/17.36 (define @t27 () (not @t26)) % 17.13/17.36 (define @t28 () (@list @t2 @t24 @t3 @t1)) % 17.13/17.36 (define @t29 () (tptp.member @t24 @t1)) % 17.13/17.36 (define @t30 () (@var "Z" $$unsorted)) % 17.13/17.36 (define @t31 () (@list @t30 @t3 @t1)) % 17.13/17.36 (define @t32 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 17.13/17.36 (define @t33 () (tptp.member @t3 @t1)) % 17.13/17.36 (define @t34 () (tptp.member @t21 tptp.element_relation)) % 17.13/17.36 (define @t35 () (not (tptp.member @t21 @t32))) % 17.13/17.36 (define @t36 () (tptp.member @t30 @t3)) % 17.13/17.36 (define @t37 () (tptp.intersection @t3 @t1)) % 17.13/17.36 (define @t38 () (tptp.member @t30 @t37)) % 17.13/17.36 (define @t39 () (not @t38)) % 17.13/17.36 (define @t40 () (tptp.member @t30 @t1)) % 17.13/17.36 (define @t41 () (not @t36)) % 17.13/17.36 (define @t42 () (tptp.complement @t3)) % 17.13/17.36 (define @t43 () (tptp.member @t30 @t42)) % 17.13/17.36 (define @t44 () (@list @t30 @t3)) % 17.13/17.36 (define @t45 () (not (tptp.member @t30 tptp.universal_class))) % 17.13/17.36 (define @t46 () (tptp.complement (tptp.intersection @t42 (tptp.complement @t1)))) % 17.13/17.36 (define @t47 () (@var "Xr" $$unsorted)) % 17.13/17.36 (define @t48 () (tptp.restrict @t47 @t3 @t1)) % 17.13/17.36 (define @t49 () (tptp.domain_of @t3)) % 17.13/17.36 (define @t50 () (tptp.member @t30 @t49)) % 17.13/17.36 (define @t51 () (= (tptp.restrict @t3 (tptp.singleton @t30) tptp.universal_class) tptp.null_class)) % 17.13/17.36 (define @t52 () (tptp.cross_product @t32 tptp.universal_class)) % 17.13/17.36 (define @t53 () (tptp.rotate @t3)) % 17.13/17.36 (define @t54 () (@var "W" $$unsorted)) % 17.13/17.36 (define @t55 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t54) @t2) @t3)) % 17.13/17.36 (define @t56 () (tptp.ordered_pair @t25 @t54)) % 17.13/17.36 (define @t57 () (tptp.member @t56 @t53)) % 17.13/17.36 (define @t58 () (@list @t2 @t24 @t54 @t3)) % 17.13/17.36 (define @t59 () (not (tptp.member @t56 @t52))) % 17.13/17.36 (define @t60 () (tptp.flip @t3)) % 17.13/17.36 (define @t61 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t24 @t2) @t54) @t3)) % 17.13/17.36 (define @t62 () (tptp.member @t56 @t60)) % 17.13/17.36 (define @t63 () (@list @t1)) % 17.13/17.36 (define @t64 () (tptp.successor @t3)) % 17.13/17.36 (define @t65 () (= @t64 @t1)) % 17.13/17.36 (define @t66 () (tptp.member @t21 tptp.successor_relation)) % 17.13/17.36 (define @t67 () (tptp.member tptp.null_class @t3)) % 17.13/17.36 (define @t68 () (tptp.inductive @t3)) % 17.13/17.36 (define @t69 () (not @t68)) % 17.13/17.36 (define @t70 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 17.13/17.36 (define @t71 () (tptp.sum_class @t3)) % 17.13/17.36 (define @t72 () (@var "Yr" $$unsorted)) % 17.13/17.36 (define @t73 () (tptp.compose @t72 @t47)) % 17.13/17.36 (define @t74 () (tptp.member @t30 (tptp.image @t72 (tptp.image @t47 @t22)))) % 17.13/17.36 (define @t75 () (tptp.ordered_pair @t1 @t30)) % 17.13/17.36 (define @t76 () (tptp.member @t75 @t73)) % 17.13/17.36 (define @t77 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 17.13/17.36 (define @t78 () (tptp.single_valued_class @t3)) % 17.13/17.36 (define @t79 () (@var "Xf" $$unsorted)) % 17.13/17.36 (define @t80 () (tptp.subclass @t79 @t32)) % 17.13/17.36 (define @t81 () (tptp.function @t79)) % 17.13/17.36 (define @t82 () (not @t81)) % 17.13/17.36 (define @t83 () (@list @t79)) % 17.13/17.36 (define @t84 () (tptp.inverse @t79)) % 17.13/17.36 (define @t85 () (tptp.subclass (tptp.compose @t79 @t84) tptp.identity_relation)) % 17.13/17.36 (define @t86 () (tptp.regular @t3)) % 17.13/17.36 (define @t87 () (= @t3 tptp.null_class)) % 17.13/17.36 (define @t88 () (tptp.intersection @t3 @t86)) % 17.13/17.36 (define @t89 () (or @t87 (= @t88 tptp.null_class))) % 17.13/17.36 (define @t90 () (forall @t10 @t89)) % 17.13/17.36 (define @t91 () (tptp.one_to_one @t79)) % 17.13/17.36 (define @t92 () (not @t91)) % 17.13/17.36 (define @t93 () (tptp.function @t84)) % 17.13/17.36 (define @t94 () (tptp.inverse tptp.element_relation)) % 17.13/17.36 (define @t95 () (tptp.complement tptp.element_relation)) % 17.13/17.36 (define @t96 () (tptp.operation @t79)) % 17.13/17.36 (define @t97 () (not @t96)) % 17.13/17.36 (define @t98 () (tptp.domain_of @t79)) % 17.13/17.36 (define @t99 () (tptp.domain_of @t98)) % 17.13/17.36 (define @t100 () (= (tptp.cross_product @t99 @t99) @t98)) % 17.13/17.36 (define @t101 () (tptp.subclass (tptp.range_of @t79) @t99)) % 17.13/17.36 (define @t102 () (@var "Xh" $$unsorted)) % 17.13/17.36 (define @t103 () (tptp.function @t102)) % 17.13/17.36 (define @t104 () (@var "Xf2" $$unsorted)) % 17.13/17.36 (define @t105 () (@var "Xf1" $$unsorted)) % 17.13/17.36 (define @t106 () (tptp.compatible @t102 @t105 @t104)) % 17.13/17.36 (define @t107 () (not @t106)) % 17.13/17.36 (define @t108 () (@list @t102 @t105 @t104)) % 17.13/17.36 (define @t109 () (tptp.domain_of @t105)) % 17.13/17.36 (define @t110 () (= (tptp.domain_of @t109) (tptp.domain_of @t102))) % 17.13/17.36 (define @t111 () (tptp.subclass (tptp.range_of @t102) (tptp.domain_of (tptp.domain_of @t104)))) % 17.13/17.36 (define @t112 () (tptp.operation @t105)) % 17.13/17.36 (define @t113 () (tptp.homomorphism @t102 @t105 @t104)) % 17.13/17.36 (define @t114 () (not @t113)) % 17.13/17.36 (define @t115 () (tptp.operation @t104)) % 17.13/17.36 (define @t116 () (tptp.not_homomorphism2 @t102 @t105 @t104)) % 17.13/17.36 (define @t117 () (tptp.not_homomorphism1 @t102 @t105 @t104)) % 17.13/17.36 (define @t118 () (tptp.ordered_pair @t117 @t116)) % 17.13/17.36 (define @t119 () (not @t115)) % 17.13/17.36 (define @t120 () (not @t112)) % 17.13/17.36 (define @t121 () (@list @t105 @t104 @t102)) % 17.13/17.36 (define @t122 () (tptp.member tptp.x tptp.universal_class)) % 17.13/17.36 (define @t123 () (tptp.unordered_pair tptp.x tptp.y)) % 17.13/17.36 (define @t124 () (tptp.member tptp.x @t123)) % 17.13/17.36 (define @t125 () (not @t122)) % 17.13/17.36 (define @t126 () (or @t125 @t124)) % 17.13/17.36 (define @t127 () (@list false false)) % 17.13/17.36 (define @t128 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 17.13/17.36 (define @t129 () (tptp.member tptp.x @t128)) % 17.13/17.36 (define @t130 () (= @t123 @t128)) % 17.13/17.36 (define @t131 () (not @t130)) % 17.13/17.36 (define @t132 () (not @t124)) % 17.13/17.36 (define @t133 () (not @t129)) % 17.13/17.36 (define @t134 () (= false true)) % 17.13/17.36 (define @t135 () (tptp.regular @t128)) % 17.13/17.36 (define @t136 () (tptp.intersection @t128 @t135)) % 17.13/17.36 (define @t137 () (tptp.member tptp.x @t136)) % 17.13/17.36 (define @t138 () (not @t137)) % 17.13/17.36 (define @t139 () (or @t138 @t129)) % 17.13/17.36 (define @t140 () (= @t3 @t123)) % 17.13/17.36 (define @t141 () (or @t140 (= @t123 @t88))) % 17.13/17.36 (define @t142 () (= tptp.null_class @t88)) % 17.13/17.36 (define @t143 () (or @t87 @t142)) % 17.13/17.36 (define @t144 () (or (= @t128 @t123) (= @t136 @t123))) % 17.13/17.36 (define @t145 () (forall @t10 (or @t140 (= @t88 @t123)))) % 17.13/17.36 (define @t146 () (= @t123 @t136)) % 17.13/17.36 (define @t147 () (or @t130 @t146)) % 17.13/17.36 (define @t148 () (@list false)) % 17.13/17.36 (define @t149 () (@list @t145)) % 17.13/17.36 (define @t150 () (not @t146)) % 17.13/17.36 (define @t151 () (= tptp.universal_class tptp.x)) % 17.13/17.36 (define @t152 () (or @t133 @t151 @t151)) % 17.13/17.36 (define @t153 () (tptp.regular @t95)) % 17.13/17.36 (define @t154 () (tptp.member tptp.universal_class @t95)) % 17.13/17.36 (define @t155 () (tptp.intersection @t95 @t153)) % 17.13/17.36 (define @t156 () (tptp.member tptp.universal_class @t155)) % 17.13/17.36 (define @t157 () (not @t156)) % 17.13/17.36 (define @t158 () (or @t157 @t154)) % 17.13/17.36 (define @t159 () (not @t151)) % 17.13/17.36 (define @t160 () (= @t123 @t155)) % 17.13/17.36 (define @t161 () (not @t160)) % 17.13/17.36 (define @t162 () (and @t124 @t151 @t160 @t157)) % 17.13/17.36 (define @t163 () (= @t95 @t123)) % 17.13/17.36 (define @t164 () (or @t163 (= @t155 @t123))) % 17.13/17.36 (define @t165 () (or @t163 @t160)) % 17.13/17.36 (define @t166 () (not @t163)) % 17.13/17.36 (define @t167 () (not @t154)) % 17.13/17.36 (define @t168 () (and @t124 @t163 @t151 @t167)) % 17.13/17.36 (define @t169 () (tptp.member tptp.universal_class tptp.element_relation)) % 17.13/17.36 (define @t170 () (not @t169)) % 17.13/17.36 (define @t171 () (or @t167 @t170)) % 17.13/17.36 (define @t172 () (tptp.regular tptp.element_relation)) % 17.13/17.36 (define @t173 () (tptp.intersection tptp.element_relation @t172)) % 17.13/17.36 (define @t174 () (= tptp.element_relation @t123)) % 17.13/17.36 (define @t175 () (or @t174 (= @t173 @t123))) % 17.13/17.36 (define @t176 () (= @t123 @t173)) % 17.13/17.36 (define @t177 () (or @t174 @t176)) % 17.13/17.36 (define @t178 () (tptp.member tptp.universal_class @t173)) % 17.13/17.36 (define @t179 () (not @t178)) % 17.13/17.36 (define @t180 () (or @t179 @t169)) % 17.13/17.36 (define @t181 () (@list true false)) % 17.13/17.36 (define @t182 () (not @t176)) % 17.13/17.36 (define @t183 () (and @t124 @t151 @t176 @t179)) % 17.13/17.36 (define @t184 () (not @t174)) % 17.13/17.36 (define @t185 () (and @t124 @t174 @t151 @t170)) % 17.13/17.36 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 17.13/17.36 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 17.13/17.36 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 17.13/17.36 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 17.13/17.36 (assume @p5 (forall @t9 (or @t12 @t6))) % 17.13/17.36 (assume @p6 (forall @t9 (or @t12 @t13))) % 17.13/17.36 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 17.13/17.36 (assume @p8 @t17) % 17.13/17.36 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 17.13/17.36 (assume @p10 (forall (@list @t1 @t3) (or @t19 (tptp.member @t1 @t14)))) % 17.13/17.36 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 17.13/17.36 (assume @p12 (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t20))) % 17.13/17.36 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t20 (tptp.unordered_pair @t3 @t22)) @t21))) % 17.13/17.36 (assume @p14 (forall @t28 (or @t27 @t4))) % 17.13/17.36 (assume @p15 (forall @t28 (or @t27 @t29))) % 17.13/17.36 (assume @p16 (forall (@list @t2 @t3 @t24 @t1) (or @t5 (not @t29) @t26))) % 17.13/17.36 (assume @p17 (forall @t31 (or (not (tptp.member @t30 @t23)) (= (tptp.ordered_pair (tptp.first @t30) (tptp.second @t30)) @t30)))) % 17.13/17.36 (assume @p18 (tptp.subclass tptp.element_relation @t32)) % 17.13/17.36 (assume @p19 (forall @t9 (or (not @t34) @t33))) % 17.13/17.36 (assume @p20 (forall @t9 (or @t35 (not @t33) @t34))) % 17.13/17.36 (assume @p21 (forall @t31 (or @t39 @t36))) % 17.13/17.36 (assume @p22 (forall @t31 (or @t39 @t40))) % 17.13/17.36 (assume @p23 (forall @t31 (or @t41 (not @t40) @t38))) % 17.13/17.36 (assume @p24 (forall @t44 (or (not @t43) @t41))) % 17.13/17.36 (assume @p25 (forall @t44 (or @t45 @t43 @t36))) % 17.13/17.36 (assume @p26 (forall @t9 (= @t46 (tptp.union @t3 @t1)))) % 17.13/17.36 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t37) @t46) (tptp.symmetric_difference @t3 @t1)))) % 17.13/17.36 (assume @p28 (forall (@list @t47 @t3 @t1) (= (tptp.intersection @t47 @t23) @t48))) % 17.13/17.36 (assume @p29 (forall (@list @t3 @t1 @t47) (= (tptp.intersection @t23 @t47) @t48))) % 17.13/17.36 (assume @p30 (forall (@list @t3 @t30) (or (not @t51) (not @t50)))) % 17.13/17.36 (assume @p31 (forall @t44 (or @t45 @t51 @t50))) % 17.13/17.36 (assume @p32 (forall @t10 (tptp.subclass @t53 @t52))) % 17.13/17.36 (assume @p33 (forall @t58 (or (not @t57) @t55))) % 17.13/17.36 (assume @p34 (forall (@list @t24 @t54 @t2 @t3) (or (not @t55) @t59 @t57))) % 17.13/17.36 (assume @p35 (forall @t10 (tptp.subclass @t60 @t52))) % 17.13/17.36 (assume @p36 (forall @t58 (or (not @t62) @t61))) % 17.13/17.36 (assume @p37 (forall (@list @t24 @t2 @t54 @t3) (or (not @t61) @t59 @t62))) % 17.13/17.36 (assume @p38 (forall @t63 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 17.13/17.36 (assume @p39 (forall (@list @t30) (= (tptp.domain_of (tptp.inverse @t30)) (tptp.range_of @t30)))) % 17.13/17.36 (assume @p40 (forall @t31 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t30 @t3 @t22) tptp.null_class)) (tptp.domain @t30 @t3 @t1)))) % 17.13/17.36 (assume @p41 (forall @t31 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t30 @t20 @t1) tptp.null_class)) (tptp.range @t30 @t3 @t1)))) % 17.13/17.36 (assume @p42 (forall (@list @t47 @t3) (= (tptp.range_of (tptp.restrict @t47 @t3 tptp.universal_class)) (tptp.image @t47 @t3)))) % 17.13/17.36 (assume @p43 (forall @t10 (= (tptp.union @t3 @t20) @t64))) % 17.13/17.36 (assume @p44 (tptp.subclass tptp.successor_relation @t32)) % 17.13/17.36 (assume @p45 (forall @t9 (or (not @t66) @t65))) % 17.13/17.36 (assume @p46 (forall @t9 (or (not @t65) @t35 @t66))) % 17.13/17.36 (assume @p47 (forall @t10 (or @t69 @t67))) % 17.13/17.36 (assume @p48 (forall @t10 (or @t69 @t70))) % 17.13/17.36 (assume @p49 (forall @t10 (or (not @t67) (not @t70) @t68))) % 17.13/17.36 (assume @p50 (tptp.inductive tptp.omega)) % 17.13/17.36 (assume @p51 (forall @t63 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 17.13/17.36 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 17.13/17.36 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t71))) % 17.13/17.36 (assume @p54 (forall @t10 (or @t18 (tptp.member @t71 tptp.universal_class)))) % 17.13/17.36 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t42)) (tptp.power_class @t3)))) % 17.13/17.36 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 17.13/17.36 (assume @p57 (forall (@list @t72 @t47) (tptp.subclass @t73 @t32))) % 17.13/17.36 (assume @p58 (forall (@list @t1 @t30 @t72 @t47) (or (not @t76) @t74))) % 17.13/17.36 (assume @p59 (forall (@list @t30 @t72 @t47 @t1) (or (not @t74) (not (tptp.member @t75 @t32)) @t76))) % 17.13/17.36 (assume @p60 (forall @t10 (or (not @t78) @t77))) % 17.13/17.36 (assume @p61 (forall @t10 (or (not @t77) @t78))) % 17.13/17.36 (assume @p62 (forall @t83 (or @t82 @t80))) % 17.13/17.36 (assume @p63 (forall @t83 (or @t82 @t85))) % 17.13/17.36 (assume @p64 (forall @t83 (or (not @t80) (not @t85) @t81))) % 17.13/17.36 (assume @p65 (forall (@list @t79 @t3) (or @t82 @t18 (tptp.member (tptp.image @t79 @t3) tptp.universal_class)))) % 17.13/17.36 (assume @p66 (forall @t10 (or @t87 (tptp.member @t86 @t3)))) % 17.13/17.36 (assume @p67 @t90) % 17.13/17.36 (assume @p68 (forall (@list @t79 @t1) (= (tptp.sum_class (tptp.image @t79 @t22)) (tptp.apply @t79 @t1)))) % 17.13/17.36 (assume @p69 (tptp.function tptp.choice)) % 17.13/17.36 (assume @p70 (forall @t63 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 17.13/17.36 (assume @p71 (forall @t83 (or @t92 @t81))) % 17.13/17.36 (assume @p72 (forall @t83 (or @t92 @t93))) % 17.13/17.36 (assume @p73 (forall @t83 (or (not @t93) @t82 @t91))) % 17.13/17.36 (assume @p74 (= (tptp.intersection @t32 (tptp.intersection @t32 (tptp.complement (tptp.compose @t95 @t94)))) tptp.subset_relation)) % 17.13/17.36 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 17.13/17.36 (assume @p76 (forall (@list @t47) (= (tptp.complement (tptp.domain_of (tptp.intersection @t47 tptp.identity_relation))) (tptp.diagonalise @t47)))) % 17.13/17.36 (assume @p77 (forall @t10 (= (tptp.intersection @t49 (tptp.diagonalise (tptp.compose @t94 @t3))) (tptp.cantor @t3)))) % 17.13/17.36 (assume @p78 (forall @t83 (or @t97 @t81))) % 17.13/17.36 (assume @p79 (forall @t83 (or @t97 @t100))) % 17.13/17.36 (assume @p80 (forall @t83 (or @t97 @t101))) % 17.13/17.36 (assume @p81 (forall @t83 (or @t82 (not @t100) (not @t101) @t96))) % 17.13/17.36 (assume @p82 (forall @t108 (or @t107 @t103))) % 17.13/17.36 (assume @p83 (forall @t108 (or @t107 @t110))) % 17.13/17.36 (assume @p84 (forall @t108 (or @t107 @t111))) % 17.13/17.36 (assume @p85 (forall @t108 (or (not @t103) (not @t110) (not @t111) @t106))) % 17.13/17.36 (assume @p86 (forall @t108 (or @t114 @t112))) % 17.13/17.36 (assume @p87 (forall @t108 (or @t114 @t115))) % 17.13/17.36 (assume @p88 (forall @t108 (or @t114 @t106))) % 17.13/17.36 (assume @p89 (forall (@list @t102 @t105 @t104 @t3 @t1) (or @t114 (not (tptp.member @t21 @t109)) (= (tptp.apply @t104 (tptp.ordered_pair (tptp.apply @t102 @t3) (tptp.apply @t102 @t1))) (tptp.apply @t102 (tptp.apply @t105 @t21)))))) % 17.13/17.36 (assume @p90 (forall @t121 (or @t120 @t119 @t107 (tptp.member @t118 @t109) @t113))) % 17.13/17.36 (assume @p91 (forall @t121 (or @t120 @t119 @t107 (not (= (tptp.apply @t104 (tptp.ordered_pair (tptp.apply @t102 @t117) (tptp.apply @t102 @t116))) (tptp.apply @t102 (tptp.apply @t105 @t118)))) @t113))) % 17.13/17.36 (assume @p92 @t122) % 17.13/17.36 (assume @p93 (= @t123 tptp.null_class)) % 17.13/17.36 (step @p94 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.y))) % 17.13/17.36 (step @p95 :rule cnf_or_pos :args (@t126)) % 17.13/17.36 (step @p96 :rule reordering :premises (@p95) :args ((or @t125 @t124 (not @t126)))) % 17.13/17.36 (step @p97 :rule chain_m_resolution :premises (@p96 @p92 @p94) :args (@t124 @t127 (@list @t122 @t126))) % 17.13/17.36 (step @p98 :rule eq-symm :args (@t2 @t1)) % 17.13/17.36 (step @p99 :rule eq-symm :args (@t2 @t3)) % 17.13/17.36 (step @p100 :rule refl :args (@t15)) % 17.13/17.36 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98) :args (@t16)) % 17.13/17.36 (step @p102 :rule cong :premises (@p101) :args (@t17)) % 17.13/17.36 (step @p103 :rule eq_resolve :premises (@p8 @p102)) % 17.13/17.36 (step @p104 :rule instantiate :premises (@p103) :args ((@list tptp.x tptp.universal_class tptp.universal_class))) % 17.13/17.36 (step @p105 :rule bool-double-not-elim :args (@t129)) % 17.13/17.36 (step @p106 :rule refl :args (@t131)) % 17.13/17.36 (step @p107 :rule refl :args (@t132)) % 17.13/17.36 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args ((or @t132 @t131 (not @t133)))) % 17.13/17.36 (assume-push @p357 @t124) % 17.13/17.36 (assume-push @p358 @t130) % 17.13/17.36 (assume-push @p359 @t133) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p114 :rule symm :premises (@p358)) % 17.13/17.36 (step @p115 :rule refl :args (tptp.x)) % 17.13/17.36 (step @p116 :rule cong :premises (@p115 @p114) :args (@t129)) % 17.13/17.36 (step @p117 :rule false_intro :premises (@p359)) % 17.13/17.36 (step @p118 :rule symm :premises (@p117)) % 17.13/17.36 (step @p119 :rule trans :premises (@p118 @p116 @p113)) % 17.13/17.36 (step @p120 false :rule eq_resolve :premises (@p119 @p112)) % 17.13/17.36 (step-pop @p360 :rule scope :premises (@p120)) % 17.13/17.36 (step-pop @p361 :rule scope :premises (@p360)) % 17.13/17.36 (step-pop @p362 :rule scope :premises (@p361)) % 17.13/17.36 (step @p121 :rule process_scope :premises (@p362) :args (false)) % 17.13/17.36 (step @p125 :rule not_and :premises (@p121)) % 17.13/17.36 (step @p126 :rule eq_resolve :premises (@p125 @p108)) % 17.13/17.36 (step @p127 :rule instantiate :premises (@p21) :args ((@list tptp.x @t128 @t135))) % 17.13/17.36 (step @p128 :rule cnf_or_pos :args (@t139)) % 17.13/17.36 (step @p129 :rule reordering :premises (@p128) :args ((or @t129 @t138 (not @t139)))) % 17.13/17.36 (step @p130 :rule eq-symm :args (@t123 @t88)) % 17.13/17.36 (step @p131 :rule refl :args (@t140)) % 17.13/17.36 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t141)) % 17.13/17.36 (step @p133 :rule cong :premises (@p132) :args ((forall @t10 @t141))) % 17.13/17.36 (step @p134 :rule refl :args (@t88)) % 17.13/17.36 (step @p135 :rule symm :premises (@p93)) % 17.13/17.36 (step @p136 :rule cong :premises (@p135 @p134) :args (@t142)) % 17.13/17.36 (step @p137 :rule refl :args (@t3)) % 17.13/17.36 (step @p138 :rule cong :premises (@p137 @p135) :args (@t87)) % 17.13/17.36 (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t143)) % 17.13/17.36 (step @p140 :rule cong :premises (@p139) :args ((forall @t10 @t143))) % 17.13/17.36 (step @p141 :rule trans :premises (@p140 @p133)) % 17.13/17.36 (step @p142 :rule eq-symm :args (@t88 tptp.null_class)) % 17.13/17.36 (step @p143 :rule refl :args (@t87)) % 17.13/17.36 (step @p144 :rule nary_cong :premises (@p143 @p142) :args (@t89)) % 17.13/17.36 (step @p145 :rule cong :premises (@p144) :args (@t90)) % 17.13/17.36 (step @p146 :rule trans :premises (@p145 @p141)) % 17.13/17.36 (step @p147 :rule eq_resolve :premises (@p67 @p146)) % 17.13/17.36 (step @p148 :rule eq-symm :args (@t136 @t123)) % 17.13/17.36 (step @p149 :rule eq-symm :args (@t128 @t123)) % 17.13/17.36 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t144)) % 17.13/17.36 (step @p151 :rule refl :args (@t145)) % 17.13/17.36 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t145 @t144))) % 17.13/17.36 (assume-push @p363 @t145) % 17.13/17.36 (step @p154 :rule instantiate :premises (@p147) :args ((@list @t128))) % 17.13/17.36 (step-pop @p364 :rule scope :premises (@p154)) % 17.13/17.36 (step @p155 :rule process_scope :premises (@p364) :args (@t144)) % 17.13/17.36 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 17.13/17.36 (step @p158 :rule implies_elim :premises (@p157)) % 17.13/17.36 (step @p159 :rule chain_m_resolution :premises (@p158 @p147) :args (@t147 @t148 @t149)) % 17.13/17.36 (step @p160 :rule cnf_or_pos :args (@t147)) % 17.13/17.36 (step @p161 :rule reordering :premises (@p160) :args ((or @t130 @t146 (not @t147)))) % 17.13/17.36 (step @p162 :rule bool-double-not-elim :args (@t137)) % 17.13/17.36 (step @p163 :rule refl :args (@t150)) % 17.13/17.36 (step @p164 :rule nary_cong :premises (@p107 @p163 @p162) :args ((or @t132 @t150 (not @t138)))) % 17.13/17.36 (assume-push @p365 @t124) % 17.13/17.36 (assume-push @p366 @t146) % 17.13/17.36 (assume-push @p367 @t138) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p168 :rule symm :premises (@p366)) % 17.13/17.36 (step @p115 :rule refl :args (tptp.x)) % 17.13/17.36 (step @p169 :rule cong :premises (@p115 @p168) :args (@t137)) % 17.13/17.36 (step @p170 :rule false_intro :premises (@p367)) % 17.13/17.36 (step @p171 :rule symm :premises (@p170)) % 17.13/17.36 (step @p172 :rule trans :premises (@p171 @p169 @p113)) % 17.13/17.36 (step @p173 false :rule eq_resolve :premises (@p172 @p112)) % 17.13/17.36 (step-pop @p368 :rule scope :premises (@p173)) % 17.13/17.36 (step-pop @p369 :rule scope :premises (@p368)) % 17.13/17.36 (step-pop @p370 :rule scope :premises (@p369)) % 17.13/17.36 (step @p174 :rule process_scope :premises (@p370) :args (false)) % 17.13/17.36 (step @p178 :rule not_and :premises (@p174)) % 17.13/17.36 (step @p179 :rule eq_resolve :premises (@p178 @p164)) % 17.13/17.36 (step @p180 :rule chain_m_resolution :premises (@p179 @p97 @p161 @p159 @p129 @p127 @p126 @p97) :args (@t129 (@list false false false true false true false) (@list @t124 @t146 @t147 @t137 @t139 @t130 @t124))) % 17.13/17.36 (step @p181 :rule cnf_or_pos :args (@t152)) % 17.13/17.36 (step @p182 :rule factoring :premises (@p181)) % 17.13/17.36 (step @p183 :rule reordering :premises (@p182) :args ((or @t133 @t151 (not @t152)))) % 17.13/17.36 (step @p184 :rule chain_m_resolution :premises (@p183 @p180 @p104) :args (@t151 @t127 (@list @t129 @t152))) % 17.13/17.36 (step @p185 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.element_relation))) % 17.13/17.36 (step @p186 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t95 @t153))) % 17.13/17.36 (step @p187 :rule cnf_or_pos :args (@t158)) % 17.13/17.36 (step @p188 :rule reordering :premises (@p187) :args ((or @t154 @t157 (not @t158)))) % 17.13/17.36 (step @p189 :rule bool-double-not-elim :args (@t156)) % 17.13/17.36 (step @p190 :rule refl :args (@t159)) % 17.13/17.36 (step @p191 :rule refl :args (@t161)) % 17.13/17.36 (step @p192 :rule nary_cong :premises (@p191 @p107 @p190 @p189) :args ((or @t161 @t132 @t159 (not @t157)))) % 17.13/17.36 (assume-push @p371 @t124) % 17.13/17.36 (assume-push @p372 @t151) % 17.13/17.36 (assume-push @p373 @t160) % 17.13/17.36 (assume-push @p374 @t157) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p197 :rule symm :premises (@p373)) % 17.13/17.36 (step @p198 :rule cong :premises (@p372 @p197) :args (@t156)) % 17.13/17.36 (step @p199 :rule false_intro :premises (@p374)) % 17.13/17.36 (step @p200 :rule symm :premises (@p199)) % 17.13/17.36 (step @p201 :rule trans :premises (@p200 @p198 @p113)) % 17.13/17.36 (step @p202 false :rule eq_resolve :premises (@p201 @p112)) % 17.13/17.36 (step-pop @p375 :rule scope :premises (@p202)) % 17.13/17.36 (step-pop @p376 :rule scope :premises (@p375)) % 17.13/17.36 (step-pop @p377 :rule scope :premises (@p376)) % 17.13/17.36 (step-pop @p378 :rule scope :premises (@p377)) % 17.13/17.36 (step @p203 :rule process_scope :premises (@p378) :args (false)) % 17.13/17.36 (assume-push @p379 @t160) % 17.13/17.36 (assume-push @p380 @t124) % 17.13/17.36 (assume-push @p381 @t151) % 17.13/17.36 (assume-push @p382 @t157) % 17.13/17.36 (step @p212 :rule and_intro :premises (@p97 @p381 @p379 @p382)) % 17.13/17.36 (step-pop @p383 :rule scope :premises (@p212)) % 17.13/17.36 (step-pop @p384 :rule scope :premises (@p383)) % 17.13/17.36 (step-pop @p385 :rule scope :premises (@p384)) % 17.13/17.36 (step-pop @p386 :rule scope :premises (@p385)) % 17.13/17.36 (step @p213 :rule process_scope :premises (@p386) :args (@t162)) % 17.13/17.36 (step @p218 :rule implies_elim :premises (@p213)) % 17.13/17.36 (step @p219 :rule resolution :premises (@p218 @p203) :args (true @t162)) % 17.13/17.36 (step @p220 :rule not_and :premises (@p219)) % 17.13/17.36 (step @p221 :rule eq_resolve :premises (@p220 @p192)) % 17.13/17.36 (step @p222 :rule eq-symm :args (@t155 @t123)) % 17.13/17.36 (step @p223 :rule refl :args (@t163)) % 17.13/17.36 (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t164)) % 17.13/17.36 (step @p225 :rule cong :premises (@p151 @p224) :args ((=> @t145 @t164))) % 17.13/17.36 (assume-push @p387 @t145) % 17.13/17.36 (step @p227 :rule instantiate :premises (@p147) :args ((@list @t95))) % 17.13/17.36 (step-pop @p388 :rule scope :premises (@p227)) % 17.13/17.36 (step @p228 :rule process_scope :premises (@p388) :args (@t164)) % 17.13/17.36 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 17.13/17.36 (step @p231 :rule implies_elim :premises (@p230)) % 17.13/17.36 (step @p232 :rule chain_m_resolution :premises (@p231 @p147) :args (@t165 @t148 @t149)) % 17.13/17.36 (step @p233 :rule cnf_or_pos :args (@t165)) % 17.13/17.36 (step @p234 :rule reordering :premises (@p233) :args ((or @t163 @t160 (not @t165)))) % 17.13/17.36 (step @p235 :rule refl :args (@t166)) % 17.13/17.36 (step @p236 :rule bool-double-not-elim :args (@t154)) % 17.13/17.36 (step @p237 :rule nary_cong :premises (@p236 @p235 @p107 @p190) :args ((or (not @t167) @t166 @t132 @t159))) % 17.13/17.36 (assume-push @p389 @t124) % 17.13/17.36 (assume-push @p390 @t163) % 17.13/17.36 (assume-push @p391 @t151) % 17.13/17.36 (assume-push @p392 @t167) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p115 :rule refl :args (tptp.x)) % 17.13/17.36 (step @p242 :rule cong :premises (@p115 @p390) :args ((tptp.member tptp.x @t95))) % 17.13/17.36 (step @p243 :rule refl :args (@t95)) % 17.13/17.36 (step @p244 :rule cong :premises (@p391 @p243) :args (@t154)) % 17.13/17.36 (step @p245 :rule false_intro :premises (@p392)) % 17.13/17.36 (step @p246 :rule symm :premises (@p245)) % 17.13/17.36 (step @p247 :rule trans :premises (@p246 @p244 @p242 @p113)) % 17.13/17.36 (step @p248 false :rule eq_resolve :premises (@p247 @p112)) % 17.13/17.36 (step-pop @p393 :rule scope :premises (@p248)) % 17.13/17.36 (step-pop @p394 :rule scope :premises (@p393)) % 17.13/17.36 (step-pop @p395 :rule scope :premises (@p394)) % 17.13/17.36 (step-pop @p396 :rule scope :premises (@p395)) % 17.13/17.36 (step @p249 :rule process_scope :premises (@p396) :args (false)) % 17.13/17.36 (assume-push @p397 @t167) % 17.13/17.36 (assume-push @p398 @t163) % 17.13/17.36 (assume-push @p399 @t124) % 17.13/17.36 (assume-push @p400 @t151) % 17.13/17.36 (step @p258 :rule and_intro :premises (@p97 @p398 @p400 @p397)) % 17.13/17.36 (step-pop @p401 :rule scope :premises (@p258)) % 17.13/17.36 (step-pop @p402 :rule scope :premises (@p401)) % 17.13/17.36 (step-pop @p403 :rule scope :premises (@p402)) % 17.13/17.36 (step-pop @p404 :rule scope :premises (@p403)) % 17.13/17.36 (step @p259 :rule process_scope :premises (@p404) :args (@t168)) % 17.13/17.36 (step @p264 :rule implies_elim :premises (@p259)) % 17.13/17.36 (step @p265 :rule resolution :premises (@p264 @p249) :args (true @t168)) % 17.13/17.36 (step @p266 :rule not_and :premises (@p265)) % 17.13/17.36 (step @p267 :rule eq_resolve :premises (@p266 @p237)) % 17.13/17.36 (step @p268 :rule chain_m_resolution :premises (@p267 @p184 @p97 @p234 @p232 @p221 @p184 @p97 @p188 @p186) :args (@t154 (@list false false false false true false false true false) (@list @t151 @t124 @t163 @t165 @t160 @t151 @t124 @t156 @t158))) % 17.13/17.36 (step @p269 :rule cnf_or_pos :args (@t171)) % 17.13/17.36 (step @p270 :rule reordering :premises (@p269) :args ((or @t170 @t167 (not @t171)))) % 17.13/17.36 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p185) :args (@t170 @t127 (@list @t154 @t171))) % 17.13/17.36 (step @p272 :rule eq-symm :args (@t173 @t123)) % 17.13/17.36 (step @p273 :rule refl :args (@t174)) % 17.13/17.36 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t175)) % 17.13/17.36 (step @p275 :rule cong :premises (@p151 @p274) :args ((=> @t145 @t175))) % 17.13/17.36 (assume-push @p405 @t145) % 17.13/17.36 (step @p277 :rule instantiate :premises (@p147) :args ((@list tptp.element_relation))) % 17.13/17.36 (step-pop @p406 :rule scope :premises (@p277)) % 17.13/17.36 (step @p278 :rule process_scope :premises (@p406) :args (@t175)) % 17.13/17.36 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 17.13/17.36 (step @p281 :rule implies_elim :premises (@p280)) % 17.13/17.36 (step @p282 :rule chain_m_resolution :premises (@p281 @p147) :args (@t177 @t148 @t149)) % 17.13/17.36 (step @p283 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class tptp.element_relation @t172))) % 17.13/17.36 (step @p284 :rule cnf_or_pos :args (@t180)) % 17.13/17.36 (step @p285 :rule reordering :premises (@p284) :args ((or @t169 @t179 (not @t180)))) % 17.13/17.36 (step @p286 :rule chain_m_resolution :premises (@p285 @p271 @p283) :args (@t179 @t181 (@list @t169 @t180))) % 17.13/17.36 (step @p287 :rule bool-double-not-elim :args (@t178)) % 17.13/17.36 (step @p288 :rule refl :args (@t182)) % 17.13/17.36 (step @p289 :rule nary_cong :premises (@p288 @p107 @p190 @p287) :args ((or @t182 @t132 @t159 (not @t179)))) % 17.13/17.36 (assume-push @p407 @t124) % 17.13/17.36 (assume-push @p408 @t151) % 17.13/17.36 (assume-push @p409 @t176) % 17.13/17.36 (assume-push @p410 @t179) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p294 :rule symm :premises (@p409)) % 17.13/17.36 (step @p295 :rule cong :premises (@p408 @p294) :args (@t178)) % 17.13/17.36 (step @p296 :rule false_intro :premises (@p410)) % 17.13/17.36 (step @p297 :rule symm :premises (@p296)) % 17.13/17.36 (step @p298 :rule trans :premises (@p297 @p295 @p113)) % 17.13/17.36 (step @p299 false :rule eq_resolve :premises (@p298 @p112)) % 17.13/17.36 (step-pop @p411 :rule scope :premises (@p299)) % 17.13/17.36 (step-pop @p412 :rule scope :premises (@p411)) % 17.13/17.36 (step-pop @p413 :rule scope :premises (@p412)) % 17.13/17.36 (step-pop @p414 :rule scope :premises (@p413)) % 17.13/17.36 (step @p300 :rule process_scope :premises (@p414) :args (false)) % 17.13/17.36 (assume-push @p415 @t176) % 17.13/17.36 (assume-push @p416 @t124) % 17.13/17.36 (assume-push @p417 @t151) % 17.13/17.36 (assume-push @p418 @t179) % 17.13/17.36 (step @p309 :rule and_intro :premises (@p97 @p417 @p415 @p418)) % 17.13/17.36 (step-pop @p419 :rule scope :premises (@p309)) % 17.13/17.36 (step-pop @p420 :rule scope :premises (@p419)) % 17.13/17.36 (step-pop @p421 :rule scope :premises (@p420)) % 17.13/17.36 (step-pop @p422 :rule scope :premises (@p421)) % 17.13/17.36 (step @p310 :rule process_scope :premises (@p422) :args (@t183)) % 17.13/17.36 (step @p315 :rule implies_elim :premises (@p310)) % 17.13/17.36 (step @p316 :rule resolution :premises (@p315 @p300) :args (true @t183)) % 17.13/17.36 (step @p317 :rule not_and :premises (@p316)) % 17.13/17.36 (step @p318 :rule eq_resolve :premises (@p317 @p289)) % 17.13/17.36 (step @p319 :rule chain_m_resolution :premises (@p318 @p97 @p184 @p286) :args (@t182 (@list false false true) (@list @t124 @t151 @t178))) % 17.13/17.36 (step @p320 :rule cnf_or_pos :args (@t177)) % 17.13/17.36 (step @p321 :rule reordering :premises (@p320) :args ((or @t174 @t176 (not @t177)))) % 17.13/17.36 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p282) :args (@t174 @t181 (@list @t176 @t177))) % 17.13/17.36 (step @p323 :rule refl :args (@t184)) % 17.13/17.36 (step @p324 :rule bool-double-not-elim :args (@t169)) % 17.13/17.36 (step @p325 :rule nary_cong :premises (@p324 @p323 @p107 @p190) :args ((or (not @t170) @t184 @t132 @t159))) % 17.13/17.36 (assume-push @p423 @t124) % 17.13/17.36 (assume-push @p424 @t174) % 17.13/17.36 (assume-push @p425 @t151) % 17.13/17.36 (assume-push @p426 @t170) % 17.13/17.36 (step @p112 :rule evaluate :args (@t134)) % 17.13/17.36 (step @p113 :rule true_intro :premises (@p97)) % 17.13/17.36 (step @p115 :rule refl :args (tptp.x)) % 17.13/17.36 (step @p330 :rule cong :premises (@p115 @p424) :args ((tptp.member tptp.x tptp.element_relation))) % 17.13/17.36 (step @p331 :rule refl :args (tptp.element_relation)) % 17.13/17.36 (step @p332 :rule cong :premises (@p425 @p331) :args (@t169)) % 17.13/17.36 (step @p333 :rule false_intro :premises (@p426)) % 17.13/17.36 (step @p334 :rule symm :premises (@p333)) % 17.13/17.36 (step @p335 :rule trans :premises (@p334 @p332 @p330 @p113)) % 17.13/17.36 (step @p336 false :rule eq_resolve :premises (@p335 @p112)) % 17.13/17.36 (step-pop @p427 :rule scope :premises (@p336)) % 17.13/17.36 (step-pop @p428 :rule scope :premises (@p427)) % 17.13/17.36 (step-pop @p429 :rule scope :premises (@p428)) % 17.13/17.36 (step-pop @p430 :rule scope :premises (@p429)) % 17.13/17.36 (step @p337 :rule process_scope :premises (@p430) :args (false)) % 17.13/17.36 (assume-push @p431 @t170) % 17.13/17.36 (assume-push @p432 @t174) % 17.13/17.36 (assume-push @p433 @t124) % 17.13/17.36 (assume-push @p434 @t151) % 17.13/17.36 (step @p346 :rule and_intro :premises (@p97 @p432 @p434 @p431)) % 17.13/17.36 (step-pop @p435 :rule scope :premises (@p346)) % 17.13/17.36 (step-pop @p436 :rule scope :premises (@p435)) % 17.13/17.36 (step-pop @p437 :rule scope :premises (@p436)) % 17.13/17.36 (step-pop @p438 :rule scope :premises (@p437)) % 17.13/17.36 (step @p347 :rule process_scope :premises (@p438) :args (@t185)) % 17.13/17.36 (step @p352 :rule implies_elim :premises (@p347)) % 17.13/17.36 (step @p353 :rule resolution :premises (@p352 @p337) :args (true @t185)) % 17.13/17.36 (step @p354 :rule not_and :premises (@p353)) % 17.13/17.36 (step @p355 :rule eq_resolve :premises (@p354 @p325)) % 17.13/17.36 (step @p356 false :rule chain_m_resolution :premises (@p355 @p322 @p271 @p184 @p97) :args (false (@list false true false false) (@list @t174 @t169 @t151 @t124))) % 17.13/17.36 ) % 17.13/17.36 % SZS output end Proof % 17.13/17.36 % cvc5 exiting %------------------------------------------------------------------------------