%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET191-6 : 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 : n013.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 08:47:36 AM UTC 2026 % Result : Unsatisfiable 204.53s 204.86s % Output : Proof 204.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET191-6 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 15:09:15 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/15.81 --- Run --no-e-matching --full-saturate-quant at 6... % 21.62/21.87 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.72/33.99 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.87/64.11 --- Run --trigger-sel=max --full-saturate-quant at 15... % 79.21/79.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.50/112.75 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 112.58/128.23 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.04/158.36 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 173.14/173.48 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.24/203.58 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 204.53/204.86 % SZS status Unsatisfiable % 204.53/204.86 % SZS output start Proof % 204.53/204.86 ( % 204.53/204.86 (declare-sort $$unsorted 0) % 204.53/204.86 (declare-const tptp.y $$unsorted) % 204.53/204.86 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.application_function $$unsorted) % 204.53/204.86 (declare-const tptp.singleton_relation $$unsorted) % 204.53/204.86 (declare-const tptp.x $$unsorted) % 204.53/204.86 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.operation (-> $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.function (-> $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.element_relation $$unsorted) % 204.53/204.86 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.universal_class $$unsorted) % 204.53/204.86 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.successor_relation $$unsorted) % 204.53/204.86 (declare-const tptp.choice $$unsorted) % 204.53/204.86 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.subset_relation $$unsorted) % 204.53/204.86 (declare-const tptp.null_class $$unsorted) % 204.53/204.86 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.omega $$unsorted) % 204.53/204.86 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 204.53/204.86 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.composition_function $$unsorted) % 204.53/204.86 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.identity_relation $$unsorted) % 204.53/204.86 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.domain_relation $$unsorted) % 204.53/204.86 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 204.53/204.86 (declare-const tptp.inductive (-> $$unsorted Bool)) % 204.53/204.86 (define @t1 () (@var "Y" $$unsorted)) % 204.53/204.86 (define @t2 () (@var "U" $$unsorted)) % 204.53/204.86 (define @t3 () (@var "X" $$unsorted)) % 204.53/204.86 (define @t4 () (tptp.member @t2 @t3)) % 204.53/204.86 (define @t5 () (not @t4)) % 204.53/204.86 (define @t6 () (tptp.subclass @t3 @t1)) % 204.53/204.86 (define @t7 () (not @t6)) % 204.53/204.86 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 204.53/204.86 (define @t9 () (@list @t3 @t1)) % 204.53/204.86 (define @t10 () (tptp.subclass @t3 tptp.universal_class)) % 204.53/204.86 (define @t11 () (@list @t3)) % 204.53/204.86 (define @t12 () (forall @t11 @t10)) % 204.53/204.86 (define @t13 () (= @t3 @t1)) % 204.53/204.86 (define @t14 () (not @t13)) % 204.53/204.86 (define @t15 () (tptp.subclass @t1 @t3)) % 204.53/204.86 (define @t16 () (tptp.unordered_pair @t3 @t1)) % 204.53/204.86 (define @t17 () (not (tptp.member @t3 tptp.universal_class))) % 204.53/204.86 (define @t18 () (not (tptp.member @t1 tptp.universal_class))) % 204.53/204.86 (define @t19 () (tptp.singleton @t3)) % 204.53/204.86 (define @t20 () (tptp.ordered_pair @t3 @t1)) % 204.53/204.86 (define @t21 () (tptp.singleton @t1)) % 204.53/204.86 (define @t22 () (tptp.cross_product @t3 @t1)) % 204.53/204.86 (define @t23 () (@var "V" $$unsorted)) % 204.53/204.86 (define @t24 () (tptp.ordered_pair @t2 @t23)) % 204.53/204.86 (define @t25 () (tptp.member @t24 @t22)) % 204.53/204.86 (define @t26 () (not @t25)) % 204.53/204.86 (define @t27 () (@list @t2 @t23 @t3 @t1)) % 204.53/204.86 (define @t28 () (tptp.member @t23 @t1)) % 204.53/204.86 (define @t29 () (@var "Z" $$unsorted)) % 204.53/204.86 (define @t30 () (@list @t29 @t3 @t1)) % 204.53/204.86 (define @t31 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 204.53/204.86 (define @t32 () (tptp.member @t3 @t1)) % 204.53/204.86 (define @t33 () (tptp.member @t20 tptp.element_relation)) % 204.53/204.86 (define @t34 () (not (tptp.member @t20 @t31))) % 204.53/204.86 (define @t35 () (tptp.member @t29 @t3)) % 204.53/204.86 (define @t36 () (tptp.intersection @t3 @t1)) % 204.53/204.86 (define @t37 () (tptp.member @t29 @t36)) % 204.53/204.86 (define @t38 () (not @t37)) % 204.53/204.86 (define @t39 () (tptp.member @t29 @t1)) % 204.53/204.86 (define @t40 () (not @t35)) % 204.53/204.86 (define @t41 () (tptp.complement @t3)) % 204.53/204.86 (define @t42 () (tptp.member @t29 @t41)) % 204.53/204.86 (define @t43 () (@list @t29 @t3)) % 204.53/204.86 (define @t44 () (tptp.member @t29 tptp.universal_class)) % 204.53/204.86 (define @t45 () (not @t44)) % 204.53/204.86 (define @t46 () (or @t45 @t42 @t35)) % 204.53/204.86 (define @t47 () (forall @t43 @t46)) % 204.53/204.86 (define @t48 () (tptp.complement (tptp.intersection @t41 (tptp.complement @t1)))) % 204.53/204.86 (define @t49 () (forall @t9 (= @t48 (tptp.union @t3 @t1)))) % 204.53/204.86 (define @t50 () (@var "Xr" $$unsorted)) % 204.53/204.86 (define @t51 () (tptp.restrict @t50 @t3 @t1)) % 204.53/204.86 (define @t52 () (tptp.domain_of @t3)) % 204.53/204.86 (define @t53 () (tptp.member @t29 @t52)) % 204.53/204.86 (define @t54 () (= (tptp.restrict @t3 (tptp.singleton @t29) tptp.universal_class) tptp.null_class)) % 204.53/204.86 (define @t55 () (tptp.cross_product @t31 tptp.universal_class)) % 204.53/204.86 (define @t56 () (tptp.rotate @t3)) % 204.53/204.86 (define @t57 () (@var "W" $$unsorted)) % 204.53/204.86 (define @t58 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t57) @t2) @t3)) % 204.53/204.86 (define @t59 () (tptp.ordered_pair @t24 @t57)) % 204.53/204.86 (define @t60 () (tptp.member @t59 @t56)) % 204.53/204.86 (define @t61 () (@list @t2 @t23 @t57 @t3)) % 204.53/204.86 (define @t62 () (not (tptp.member @t59 @t55))) % 204.53/204.86 (define @t63 () (tptp.flip @t3)) % 204.53/204.86 (define @t64 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t2) @t57) @t3)) % 204.53/204.86 (define @t65 () (tptp.member @t59 @t63)) % 204.53/204.86 (define @t66 () (@list @t1)) % 204.53/204.86 (define @t67 () (tptp.successor @t3)) % 204.53/204.86 (define @t68 () (= @t67 @t1)) % 204.53/204.86 (define @t69 () (tptp.member @t20 tptp.successor_relation)) % 204.53/204.86 (define @t70 () (tptp.member tptp.null_class @t3)) % 204.53/204.86 (define @t71 () (tptp.inductive @t3)) % 204.53/204.86 (define @t72 () (not @t71)) % 204.53/204.86 (define @t73 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 204.53/204.86 (define @t74 () (tptp.sum_class @t3)) % 204.53/204.86 (define @t75 () (@var "Yr" $$unsorted)) % 204.53/204.86 (define @t76 () (tptp.compose @t75 @t50)) % 204.53/204.86 (define @t77 () (tptp.member @t29 (tptp.image @t75 (tptp.image @t50 @t21)))) % 204.53/204.86 (define @t78 () (tptp.ordered_pair @t1 @t29)) % 204.53/204.86 (define @t79 () (tptp.member @t78 @t76)) % 204.53/204.86 (define @t80 () (not (tptp.member @t78 @t31))) % 204.53/204.86 (define @t81 () (tptp.inverse @t3)) % 204.53/204.86 (define @t82 () (tptp.compose @t3 @t81)) % 204.53/204.86 (define @t83 () (tptp.subclass @t82 tptp.identity_relation)) % 204.53/204.86 (define @t84 () (tptp.single_valued_class @t3)) % 204.53/204.86 (define @t85 () (@var "Xf" $$unsorted)) % 204.53/204.86 (define @t86 () (tptp.subclass @t85 @t31)) % 204.53/204.86 (define @t87 () (tptp.function @t85)) % 204.53/204.86 (define @t88 () (not @t87)) % 204.53/204.86 (define @t89 () (@list @t85)) % 204.53/204.86 (define @t90 () (tptp.inverse @t85)) % 204.53/204.86 (define @t91 () (tptp.subclass (tptp.compose @t85 @t90) tptp.identity_relation)) % 204.53/204.86 (define @t92 () (tptp.regular @t3)) % 204.53/204.86 (define @t93 () (= @t3 tptp.null_class)) % 204.53/204.86 (define @t94 () (@list @t85 @t1)) % 204.53/204.86 (define @t95 () (tptp.one_to_one @t85)) % 204.53/204.86 (define @t96 () (not @t95)) % 204.53/204.86 (define @t97 () (tptp.function @t90)) % 204.53/204.86 (define @t98 () (tptp.inverse tptp.element_relation)) % 204.53/204.86 (define @t99 () (tptp.operation @t85)) % 204.53/204.86 (define @t100 () (not @t99)) % 204.53/204.86 (define @t101 () (tptp.domain_of @t85)) % 204.53/204.86 (define @t102 () (tptp.domain_of @t101)) % 204.53/204.86 (define @t103 () (= (tptp.cross_product @t102 @t102) @t101)) % 204.53/204.86 (define @t104 () (tptp.range_of @t85)) % 204.53/204.86 (define @t105 () (tptp.subclass @t104 @t102)) % 204.53/204.86 (define @t106 () (@var "Xh" $$unsorted)) % 204.53/204.86 (define @t107 () (tptp.function @t106)) % 204.53/204.86 (define @t108 () (@var "Xf2" $$unsorted)) % 204.53/204.86 (define @t109 () (@var "Xf1" $$unsorted)) % 204.53/204.86 (define @t110 () (tptp.compatible @t106 @t109 @t108)) % 204.53/204.86 (define @t111 () (not @t110)) % 204.53/204.86 (define @t112 () (@list @t106 @t109 @t108)) % 204.53/204.86 (define @t113 () (tptp.domain_of @t109)) % 204.53/204.86 (define @t114 () (= (tptp.domain_of @t113) (tptp.domain_of @t106))) % 204.53/204.86 (define @t115 () (tptp.subclass (tptp.range_of @t106) (tptp.domain_of (tptp.domain_of @t108)))) % 204.53/204.86 (define @t116 () (tptp.operation @t109)) % 204.53/204.86 (define @t117 () (tptp.homomorphism @t106 @t109 @t108)) % 204.53/204.86 (define @t118 () (not @t117)) % 204.53/204.86 (define @t119 () (tptp.operation @t108)) % 204.53/204.86 (define @t120 () (tptp.not_homomorphism2 @t106 @t109 @t108)) % 204.53/204.86 (define @t121 () (tptp.not_homomorphism1 @t106 @t109 @t108)) % 204.53/204.86 (define @t122 () (tptp.ordered_pair @t121 @t120)) % 204.53/204.86 (define @t123 () (not @t119)) % 204.53/204.86 (define @t124 () (not @t116)) % 204.53/204.86 (define @t125 () (@list @t109 @t108 @t106)) % 204.53/204.86 (define @t126 () (tptp.compose_class @t3)) % 204.53/204.86 (define @t127 () (tptp.compose @t3 @t1)) % 204.53/204.86 (define @t128 () (= @t127 @t29)) % 204.53/204.86 (define @t129 () (tptp.member @t78 @t126)) % 204.53/204.86 (define @t130 () (@list @t1 @t29 @t3)) % 204.53/204.86 (define @t131 () (tptp.cross_product tptp.universal_class @t31)) % 204.53/204.86 (define @t132 () (tptp.ordered_pair @t3 @t78)) % 204.53/204.86 (define @t133 () (@list @t3 @t1 @t29)) % 204.53/204.86 (define @t134 () (tptp.single_valued1 @t3)) % 204.53/204.86 (define @t135 () (tptp.not_subclass_element @t82 tptp.identity_relation)) % 204.53/204.86 (define @t136 () (tptp.single_valued2 @t3)) % 204.53/204.86 (define @t137 () (tptp.member @t1 @t52)) % 204.53/204.86 (define @t138 () (not (tptp.member @t132 tptp.application_function))) % 204.53/204.86 (define @t139 () (tptp.apply @t3 @t1)) % 204.53/204.86 (define @t140 () (not (tptp.maps @t85 @t3 @t1))) % 204.53/204.86 (define @t141 () (@list @t85 @t3 @t1)) % 204.53/204.86 (define @t142 () (tptp.subclass @t104 @t1)) % 204.53/204.86 (define @t143 () (tptp.complement tptp.x)) % 204.53/204.86 (define @t144 () (tptp.union @t143 tptp.y)) % 204.53/204.86 (define @t145 () (tptp.subclass tptp.x tptp.y)) % 204.53/204.86 (define @t146 () (tptp.complement tptp.y)) % 204.53/204.86 (define @t147 () (tptp.complement @t143)) % 204.53/204.86 (define @t148 () (tptp.intersection @t147 @t146)) % 204.53/204.86 (define @t149 () (tptp.not_subclass_element tptp.x tptp.y)) % 204.53/204.86 (define @t150 () (@list tptp.x tptp.y)) % 204.53/204.86 (define @t151 () (tptp.member @t149 tptp.x)) % 204.53/204.86 (define @t152 () (or @t151 @t145)) % 204.53/204.86 (define @t153 () (@list true false)) % 204.53/204.86 (define @t154 () (tptp.member @t149 @t144)) % 204.53/204.86 (define @t155 () (not @t151)) % 204.53/204.86 (define @t156 () (tptp.subclass tptp.x @t144)) % 204.53/204.86 (define @t157 () (not @t156)) % 204.53/204.86 (define @t158 () (or @t157 @t155 @t154)) % 204.53/204.86 (define @t159 () (@list false false false)) % 204.53/204.86 (define @t160 () (tptp.member @t149 @t143)) % 204.53/204.86 (define @t161 () (not @t160)) % 204.53/204.86 (define @t162 () (or @t161 @t155)) % 204.53/204.86 (define @t163 () (@list false false)) % 204.53/204.86 (define @t164 () (tptp.member @t149 @t147)) % 204.53/204.86 (define @t165 () (not @t154)) % 204.53/204.86 (define @t166 () (or @t165 @t164 @t160)) % 204.53/204.86 (define @t167 () (@list true false false)) % 204.53/204.86 (define @t168 () (tptp.member @t149 tptp.y)) % 204.53/204.86 (define @t169 () (not @t168)) % 204.53/204.86 (define @t170 () (or @t169 @t145)) % 204.53/204.86 (define @t171 () (tptp.member @t149 @t146)) % 204.53/204.86 (define @t172 () (or @t165 @t171 @t168)) % 204.53/204.86 (define @t173 () (tptp.member @t149 @t148)) % 204.53/204.86 (define @t174 () (not @t171)) % 204.53/204.86 (define @t175 () (not @t164)) % 204.53/204.86 (define @t176 () (or @t175 @t174 @t173)) % 204.53/204.86 (define @t177 () (not @t173)) % 204.53/204.86 (define @t178 () (tptp.complement @t148)) % 204.53/204.86 (define @t179 () (not (tptp.member @t149 @t178))) % 204.53/204.86 (define @t180 () (or @t179 @t177)) % 204.53/204.86 (define @t181 () (= @t178 @t144)) % 204.53/204.86 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 204.53/204.86 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 204.53/204.86 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 204.53/204.86 (assume @p4 @t12) % 204.53/204.86 (assume @p5 (forall @t9 (or @t14 @t6))) % 204.53/204.86 (assume @p6 (forall @t9 (or @t14 @t15))) % 204.53/204.86 (assume @p7 (forall @t9 (or @t7 (not @t15) @t13))) % 204.53/204.86 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t16)) (= @t2 @t3) (= @t2 @t1)))) % 204.53/204.86 (assume @p9 (forall @t9 (or @t17 (tptp.member @t3 @t16)))) % 204.53/204.86 (assume @p10 (forall (@list @t1 @t3) (or @t18 (tptp.member @t1 @t16)))) % 204.53/204.86 (assume @p11 (forall @t9 (tptp.member @t16 tptp.universal_class))) % 204.53/204.86 (assume @p12 (forall @t11 (= (tptp.unordered_pair @t3 @t3) @t19))) % 204.53/204.86 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t19 (tptp.unordered_pair @t3 @t21)) @t20))) % 204.53/204.86 (assume @p14 (forall @t27 (or @t26 @t4))) % 204.53/204.86 (assume @p15 (forall @t27 (or @t26 @t28))) % 204.53/204.86 (assume @p16 (forall (@list @t2 @t3 @t23 @t1) (or @t5 (not @t28) @t25))) % 204.53/204.86 (assume @p17 (forall @t30 (or (not (tptp.member @t29 @t22)) (= (tptp.ordered_pair (tptp.first @t29) (tptp.second @t29)) @t29)))) % 204.53/204.86 (assume @p18 (tptp.subclass tptp.element_relation @t31)) % 204.53/204.86 (assume @p19 (forall @t9 (or (not @t33) @t32))) % 204.53/204.86 (assume @p20 (forall @t9 (or @t34 (not @t32) @t33))) % 204.53/204.86 (assume @p21 (forall @t30 (or @t38 @t35))) % 204.53/204.86 (assume @p22 (forall @t30 (or @t38 @t39))) % 204.53/204.86 (assume @p23 (forall @t30 (or @t40 (not @t39) @t37))) % 204.53/204.86 (assume @p24 (forall @t43 (or (not @t42) @t40))) % 204.53/204.86 (assume @p25 @t47) % 204.53/204.86 (assume @p26 @t49) % 204.53/204.86 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t36) @t48) (tptp.symmetric_difference @t3 @t1)))) % 204.53/204.86 (assume @p28 (forall (@list @t50 @t3 @t1) (= (tptp.intersection @t50 @t22) @t51))) % 204.53/204.86 (assume @p29 (forall (@list @t3 @t1 @t50) (= (tptp.intersection @t22 @t50) @t51))) % 204.53/204.86 (assume @p30 (forall (@list @t3 @t29) (or (not @t54) (not @t53)))) % 204.53/204.86 (assume @p31 (forall @t43 (or @t45 @t54 @t53))) % 204.53/204.86 (assume @p32 (forall @t11 (tptp.subclass @t56 @t55))) % 204.53/204.86 (assume @p33 (forall @t61 (or (not @t60) @t58))) % 204.53/204.86 (assume @p34 (forall (@list @t23 @t57 @t2 @t3) (or (not @t58) @t62 @t60))) % 204.53/204.86 (assume @p35 (forall @t11 (tptp.subclass @t63 @t55))) % 204.53/204.86 (assume @p36 (forall @t61 (or (not @t65) @t64))) % 204.53/204.86 (assume @p37 (forall (@list @t23 @t2 @t57 @t3) (or (not @t64) @t62 @t65))) % 204.53/204.86 (assume @p38 (forall @t66 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 204.53/204.86 (assume @p39 (forall (@list @t29) (= (tptp.domain_of (tptp.inverse @t29)) (tptp.range_of @t29)))) % 204.53/204.86 (assume @p40 (forall @t30 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t29 @t3 @t21) tptp.null_class)) (tptp.domain @t29 @t3 @t1)))) % 204.53/204.86 (assume @p41 (forall @t30 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t29 @t19 @t1) tptp.null_class)) (tptp.range @t29 @t3 @t1)))) % 204.53/204.86 (assume @p42 (forall (@list @t50 @t3) (= (tptp.range_of (tptp.restrict @t50 @t3 tptp.universal_class)) (tptp.image @t50 @t3)))) % 204.53/204.86 (assume @p43 (forall @t11 (= (tptp.union @t3 @t19) @t67))) % 204.53/204.86 (assume @p44 (tptp.subclass tptp.successor_relation @t31)) % 204.53/204.86 (assume @p45 (forall @t9 (or (not @t69) @t68))) % 204.53/204.86 (assume @p46 (forall @t9 (or (not @t68) @t34 @t69))) % 204.53/204.86 (assume @p47 (forall @t11 (or @t72 @t70))) % 204.53/204.86 (assume @p48 (forall @t11 (or @t72 @t73))) % 204.53/204.86 (assume @p49 (forall @t11 (or (not @t70) (not @t73) @t71))) % 204.53/204.86 (assume @p50 (tptp.inductive tptp.omega)) % 204.53/204.86 (assume @p51 (forall @t66 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 204.53/204.86 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 204.53/204.86 (assume @p53 (forall @t11 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t74))) % 204.53/204.86 (assume @p54 (forall @t11 (or @t17 (tptp.member @t74 tptp.universal_class)))) % 204.53/204.86 (assume @p55 (forall @t11 (= (tptp.complement (tptp.image tptp.element_relation @t41)) (tptp.power_class @t3)))) % 204.53/204.86 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 204.53/204.86 (assume @p57 (forall (@list @t75 @t50) (tptp.subclass @t76 @t31))) % 204.53/204.86 (assume @p58 (forall (@list @t1 @t29 @t75 @t50) (or (not @t79) @t77))) % 204.53/204.86 (assume @p59 (forall (@list @t29 @t75 @t50 @t1) (or (not @t77) @t80 @t79))) % 204.53/204.86 (assume @p60 (forall @t11 (or (not @t84) @t83))) % 204.53/204.86 (assume @p61 (forall @t11 (or (not @t83) @t84))) % 204.53/204.86 (assume @p62 (forall @t89 (or @t88 @t86))) % 204.53/204.86 (assume @p63 (forall @t89 (or @t88 @t91))) % 204.53/204.86 (assume @p64 (forall @t89 (or (not @t86) (not @t91) @t87))) % 204.53/204.86 (assume @p65 (forall (@list @t85 @t3) (or @t88 @t17 (tptp.member (tptp.image @t85 @t3) tptp.universal_class)))) % 204.53/204.86 (assume @p66 (forall @t11 (or @t93 (tptp.member @t92 @t3)))) % 204.53/204.86 (assume @p67 (forall @t11 (or @t93 (= (tptp.intersection @t3 @t92) tptp.null_class)))) % 204.53/204.86 (assume @p68 (forall @t94 (= (tptp.sum_class (tptp.image @t85 @t21)) (tptp.apply @t85 @t1)))) % 204.53/204.86 (assume @p69 (tptp.function tptp.choice)) % 204.53/204.86 (assume @p70 (forall @t66 (or @t18 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 204.53/204.86 (assume @p71 (forall @t89 (or @t96 @t87))) % 204.53/204.86 (assume @p72 (forall @t89 (or @t96 @t97))) % 204.53/204.86 (assume @p73 (forall @t89 (or (not @t97) @t88 @t95))) % 204.53/204.86 (assume @p74 (= (tptp.intersection @t31 (tptp.intersection @t31 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t98)))) tptp.subset_relation)) % 204.53/204.86 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 204.53/204.86 (assume @p76 (forall (@list @t50) (= (tptp.complement (tptp.domain_of (tptp.intersection @t50 tptp.identity_relation))) (tptp.diagonalise @t50)))) % 204.53/204.86 (assume @p77 (forall @t11 (= (tptp.intersection @t52 (tptp.diagonalise (tptp.compose @t98 @t3))) (tptp.cantor @t3)))) % 204.53/204.86 (assume @p78 (forall @t89 (or @t100 @t87))) % 204.53/204.86 (assume @p79 (forall @t89 (or @t100 @t103))) % 204.53/204.86 (assume @p80 (forall @t89 (or @t100 @t105))) % 204.53/204.86 (assume @p81 (forall @t89 (or @t88 (not @t103) (not @t105) @t99))) % 204.53/204.86 (assume @p82 (forall @t112 (or @t111 @t107))) % 204.53/204.86 (assume @p83 (forall @t112 (or @t111 @t114))) % 204.53/204.86 (assume @p84 (forall @t112 (or @t111 @t115))) % 204.53/204.86 (assume @p85 (forall @t112 (or (not @t107) (not @t114) (not @t115) @t110))) % 204.53/204.86 (assume @p86 (forall @t112 (or @t118 @t116))) % 204.53/204.86 (assume @p87 (forall @t112 (or @t118 @t119))) % 204.53/204.86 (assume @p88 (forall @t112 (or @t118 @t110))) % 204.53/204.86 (assume @p89 (forall (@list @t106 @t109 @t108 @t3 @t1) (or @t118 (not (tptp.member @t20 @t113)) (= (tptp.apply @t108 (tptp.ordered_pair (tptp.apply @t106 @t3) (tptp.apply @t106 @t1))) (tptp.apply @t106 (tptp.apply @t109 @t20)))))) % 204.53/204.86 (assume @p90 (forall @t125 (or @t124 @t123 @t111 (tptp.member @t122 @t113) @t117))) % 204.53/204.86 (assume @p91 (forall @t125 (or @t124 @t123 @t111 (not (= (tptp.apply @t108 (tptp.ordered_pair (tptp.apply @t106 @t121) (tptp.apply @t106 @t120))) (tptp.apply @t106 (tptp.apply @t109 @t122)))) @t117))) % 204.53/204.86 (assume @p92 (forall @t11 (tptp.subclass @t126 @t31))) % 204.53/204.86 (assume @p93 (forall @t130 (or (not @t129) @t128))) % 204.53/204.86 (assume @p94 (forall @t130 (or @t80 (not @t128) @t129))) % 204.53/204.86 (assume @p95 (tptp.subclass tptp.composition_function @t131)) % 204.53/204.86 (assume @p96 (forall @t133 (or (not (tptp.member @t132 tptp.composition_function)) @t128))) % 204.53/204.86 (assume @p97 (forall @t9 (or @t34 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t127)) tptp.composition_function)))) % 204.53/204.86 (assume @p98 (tptp.subclass tptp.domain_relation @t31)) % 204.53/204.86 (assume @p99 (forall @t9 (or (not (tptp.member @t20 tptp.domain_relation)) (= @t52 @t1)))) % 204.53/204.86 (assume @p100 (forall @t11 (or @t17 (tptp.member (tptp.ordered_pair @t3 @t52) tptp.domain_relation)))) % 204.53/204.86 (assume @p101 (forall @t11 (= (tptp.first @t135) @t134))) % 204.53/204.86 (assume @p102 (forall @t11 (= (tptp.second @t135) @t136))) % 204.53/204.86 (assume @p103 (forall @t11 (= (tptp.domain @t3 (tptp.image @t81 (tptp.singleton @t134)) @t136) (tptp.single_valued3 @t3)))) % 204.53/204.86 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 204.53/204.86 (assume @p105 (tptp.subclass tptp.application_function @t131)) % 204.53/204.86 (assume @p106 (forall @t133 (or @t138 @t137))) % 204.53/204.86 (assume @p107 (forall @t133 (or @t138 (= @t139 @t29)))) % 204.53/204.86 (assume @p108 (forall @t133 (or (not (tptp.member @t132 @t131)) (not @t137) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t139)) tptp.application_function)))) % 204.53/204.86 (assume @p109 (forall @t141 (or @t140 @t87))) % 204.53/204.86 (assume @p110 (forall @t141 (or @t140 (= @t101 @t3)))) % 204.53/204.86 (assume @p111 (forall @t141 (or @t140 @t142))) % 204.53/204.86 (assume @p112 (forall @t94 (or @t88 (not @t142) (tptp.maps @t85 @t101 @t1)))) % 204.53/204.86 (assume @p113 (= @t144 tptp.universal_class)) % 204.53/204.86 (assume @p114 (not @t145)) % 204.53/204.86 (step @p115 :rule evaluate :args ((= true false))) % 204.53/204.86 (step @p116 :rule instantiate :premises (@p24) :args ((@list @t149 @t148))) % 204.53/204.86 (step @p117 :rule instantiate :premises (@p23) :args ((@list @t149 @t147 @t146))) % 204.53/204.86 (step @p118 :rule refl :args (@t35)) % 204.53/204.86 (step @p119 :rule refl :args (@t42)) % 204.53/204.86 (step @p120 :rule symm :premises (@p113)) % 204.53/204.86 (step @p121 :rule refl :args (@t29)) % 204.53/204.86 (step @p122 :rule cong :premises (@p121 @p120) :args (@t44)) % 204.53/204.86 (step @p123 :rule cong :premises (@p122) :args (@t45)) % 204.53/204.86 (step @p124 :rule nary_cong :premises (@p123 @p119 @p118) :args (@t46)) % 204.53/204.86 (step @p125 :rule cong :premises (@p124) :args (@t47)) % 204.53/204.86 (step @p126 :rule eq_resolve :premises (@p25 @p125)) % 204.53/204.86 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t149 @t143))) % 204.53/204.86 (step @p128 :rule instantiate :premises (@p1) :args ((@list tptp.x @t144 @t149))) % 204.53/204.86 (step @p129 :rule instantiate :premises (@p2) :args (@t150)) % 204.53/204.86 (step @p130 :rule cnf_or_pos :args (@t152)) % 204.53/204.86 (step @p131 :rule reordering :premises (@p130) :args ((or @t145 @t151 (not @t152)))) % 204.53/204.86 (step @p132 :rule chain_m_resolution :premises (@p131 @p114 @p129) :args (@t151 @t153 (@list @t145 @t152))) % 204.53/204.86 (step @p133 :rule refl :args (@t3)) % 204.53/204.86 (step @p134 :rule cong :premises (@p133 @p120) :args (@t10)) % 204.53/204.86 (step @p135 :rule cong :premises (@p134) :args (@t12)) % 204.53/204.86 (step @p136 :rule eq_resolve :premises (@p4 @p135)) % 204.53/204.86 (step @p137 :rule instantiate :premises (@p136) :args ((@list tptp.x))) % 204.53/204.86 (step @p138 :rule cnf_or_pos :args (@t158)) % 204.53/204.86 (step @p139 :rule reordering :premises (@p138) :args ((or @t157 @t155 @t154 (not @t158)))) % 204.53/204.86 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p132 @p128) :args (@t154 @t159 (@list @t156 @t151 @t158))) % 204.53/204.86 (step @p141 :rule instantiate :premises (@p24) :args ((@list @t149 tptp.x))) % 204.53/204.86 (step @p142 :rule cnf_or_pos :args (@t162)) % 204.53/204.86 (step @p143 :rule reordering :premises (@p142) :args ((or @t155 @t161 (not @t162)))) % 204.53/204.86 (step @p144 :rule chain_m_resolution :premises (@p143 @p132 @p141) :args (@t161 @t163 (@list @t151 @t162))) % 204.53/204.86 (step @p145 :rule cnf_or_pos :args (@t166)) % 204.53/204.86 (step @p146 :rule reordering :premises (@p145) :args ((or @t160 @t165 @t164 (not @t166)))) % 204.53/204.86 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p140 @p127) :args (@t164 @t167 (@list @t160 @t154 @t166))) % 204.53/204.86 (step @p148 :rule instantiate :premises (@p126) :args ((@list @t149 tptp.y))) % 204.53/204.86 (step @p149 :rule instantiate :premises (@p3) :args (@t150)) % 204.53/204.86 (step @p150 :rule cnf_or_pos :args (@t170)) % 204.53/204.86 (step @p151 :rule reordering :premises (@p150) :args ((or @t145 @t169 (not @t170)))) % 204.53/204.86 (step @p152 :rule chain_m_resolution :premises (@p151 @p114 @p149) :args (@t169 @t153 (@list @t145 @t170))) % 204.53/204.86 (step @p153 :rule cnf_or_pos :args (@t172)) % 204.53/204.86 (step @p154 :rule reordering :premises (@p153) :args ((or @t168 @t165 @t171 (not @t172)))) % 204.53/204.86 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p140 @p148) :args (@t171 @t167 (@list @t168 @t154 @t172))) % 204.53/204.86 (step @p156 :rule cnf_or_pos :args (@t176)) % 204.53/204.86 (step @p157 :rule reordering :premises (@p156) :args ((or @t174 @t175 @t173 (not @t176)))) % 204.53/204.86 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p147 @p117) :args (@t173 @t159 (@list @t171 @t164 @t176))) % 204.53/204.86 (step @p159 :rule cnf_or_pos :args (@t180)) % 204.53/204.86 (step @p160 :rule reordering :premises (@p159) :args ((or @t177 @t179 (not @t180)))) % 204.53/204.86 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p116) :args (@t179 @t163 (@list @t173 @t180))) % 204.53/204.86 (step @p162 :rule false_intro :premises (@p161)) % 204.53/204.86 (step @p163 :rule eq-symm :args (@t178 @t144)) % 204.53/204.86 (step @p164 :rule refl :args (@t49)) % 204.53/204.86 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t49 @t181))) % 204.53/204.86 (assume-push @p179 @t49) % 204.53/204.86 (step @p167 :rule instantiate :premises (@p26) :args ((@list @t143 tptp.y))) % 204.53/204.86 (step-pop @p180 :rule scope :premises (@p167)) % 204.53/204.86 (step @p168 :rule process_scope :premises (@p180) :args (@t181)) % 204.53/204.86 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 204.53/204.86 (step @p171 :rule implies_elim :premises (@p170)) % 204.53/204.86 (step @p172 :rule chain_m_resolution :premises (@p171 @p26) :args ((= @t144 @t178) (@list false) (@list @t49))) % 204.53/204.86 (step @p173 :rule refl :args (@t149)) % 204.53/204.86 (step @p174 :rule cong :premises (@p173 @p172) :args (@t154)) % 204.53/204.86 (step @p175 :rule true_intro :premises (@p140)) % 204.53/204.86 (step @p176 :rule symm :premises (@p175)) % 204.53/204.86 (step @p177 :rule trans :premises (@p176 @p174 @p162)) % 204.53/204.86 (step @p178 false :rule eq_resolve :premises (@p177 @p115)) % 204.53/204.86 ) % 204.53/204.86 % SZS output end Proof % 204.53/204.87 % cvc5 exiting %------------------------------------------------------------------------------