%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET202-6 : 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 : n026.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 08:47:39 AM UTC 2026 % Result : Unsatisfiable 281.29s 281.53s % Output : Proof 281.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET202-6 : 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 % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 15:11:25 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.63/15.83 --- Run --no-e-matching --full-saturate-quant at 6... % 21.63/21.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.73/27.95 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.74/34.02 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.96/64.17 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.01/79.41 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.39/112.69 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.83/128.13 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.96/158.26 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 173.09/173.32 --- Run --relevant-triggers --full-saturate-quant at 30... % 203.20/203.43 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 218.39/218.68 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 233.50/233.78 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 269.82/270.08 --- Run --no-cbqi --full-saturate-quant at 9... % 279.08/279.33 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 281.29/281.53 % SZS status Unsatisfiable % 281.29/281.53 % SZS output start Proof % 281.29/281.54 ( % 281.29/281.54 (declare-sort $$unsorted 0) % 281.29/281.54 (declare-const tptp.y $$unsorted) % 281.29/281.54 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.application_function $$unsorted) % 281.29/281.54 (declare-const tptp.singleton_relation $$unsorted) % 281.29/281.54 (declare-const tptp.x $$unsorted) % 281.29/281.54 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.operation (-> $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.function (-> $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.element_relation $$unsorted) % 281.29/281.54 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.universal_class $$unsorted) % 281.29/281.54 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.successor_relation $$unsorted) % 281.29/281.54 (declare-const tptp.choice $$unsorted) % 281.29/281.54 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.subset_relation $$unsorted) % 281.29/281.54 (declare-const tptp.null_class $$unsorted) % 281.29/281.54 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.omega $$unsorted) % 281.29/281.54 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 281.29/281.54 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.composition_function $$unsorted) % 281.29/281.54 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.identity_relation $$unsorted) % 281.29/281.54 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.domain_relation $$unsorted) % 281.29/281.54 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 281.29/281.54 (declare-const tptp.inductive (-> $$unsorted Bool)) % 281.29/281.54 (define @t1 () (@var "Y" $$unsorted)) % 281.29/281.54 (define @t2 () (@var "U" $$unsorted)) % 281.29/281.54 (define @t3 () (@var "X" $$unsorted)) % 281.29/281.54 (define @t4 () (tptp.member @t2 @t3)) % 281.29/281.54 (define @t5 () (not @t4)) % 281.29/281.54 (define @t6 () (tptp.subclass @t3 @t1)) % 281.29/281.54 (define @t7 () (not @t6)) % 281.29/281.54 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 281.29/281.54 (define @t9 () (@list @t3 @t1)) % 281.29/281.54 (define @t10 () (@list @t3)) % 281.29/281.54 (define @t11 () (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 281.29/281.54 (define @t12 () (= @t3 @t1)) % 281.29/281.54 (define @t13 () (not @t12)) % 281.29/281.54 (define @t14 () (tptp.subclass @t1 @t3)) % 281.29/281.54 (define @t15 () (tptp.unordered_pair @t3 @t1)) % 281.29/281.54 (define @t16 () (not (tptp.member @t3 tptp.universal_class))) % 281.29/281.54 (define @t17 () (not (tptp.member @t1 tptp.universal_class))) % 281.29/281.54 (define @t18 () (tptp.singleton @t3)) % 281.29/281.54 (define @t19 () (tptp.unordered_pair @t3 @t3)) % 281.29/281.54 (define @t20 () (forall @t10 (= @t19 @t18))) % 281.29/281.54 (define @t21 () (tptp.ordered_pair @t3 @t1)) % 281.29/281.54 (define @t22 () (tptp.singleton @t1)) % 281.29/281.54 (define @t23 () (tptp.unordered_pair @t3 @t22)) % 281.29/281.54 (define @t24 () (tptp.unordered_pair @t18 @t23)) % 281.29/281.54 (define @t25 () (= @t24 @t21)) % 281.29/281.54 (define @t26 () (forall @t9 @t25)) % 281.29/281.54 (define @t27 () (tptp.cross_product @t3 @t1)) % 281.29/281.54 (define @t28 () (@var "V" $$unsorted)) % 281.29/281.54 (define @t29 () (tptp.ordered_pair @t2 @t28)) % 281.29/281.54 (define @t30 () (tptp.member @t29 @t27)) % 281.29/281.54 (define @t31 () (not @t30)) % 281.29/281.54 (define @t32 () (or @t31 @t4)) % 281.29/281.54 (define @t33 () (@list @t2 @t28 @t3 @t1)) % 281.29/281.54 (define @t34 () (forall @t33 @t32)) % 281.29/281.54 (define @t35 () (tptp.member @t28 @t1)) % 281.29/281.54 (define @t36 () (or @t31 @t35)) % 281.29/281.54 (define @t37 () (forall @t33 @t36)) % 281.29/281.54 (define @t38 () (not @t35)) % 281.29/281.54 (define @t39 () (or @t5 @t38 @t30)) % 281.29/281.54 (define @t40 () (@list @t2 @t3 @t28 @t1)) % 281.29/281.54 (define @t41 () (forall @t40 @t39)) % 281.29/281.54 (define @t42 () (@var "Z" $$unsorted)) % 281.29/281.54 (define @t43 () (tptp.second @t42)) % 281.29/281.54 (define @t44 () (tptp.first @t42)) % 281.29/281.54 (define @t45 () (tptp.ordered_pair @t44 @t43)) % 281.29/281.54 (define @t46 () (not (tptp.member @t42 @t27))) % 281.29/281.54 (define @t47 () (or @t46 (= @t45 @t42))) % 281.29/281.54 (define @t48 () (@list @t42 @t3 @t1)) % 281.29/281.54 (define @t49 () (forall @t48 @t47)) % 281.29/281.54 (define @t50 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 281.29/281.54 (define @t51 () (tptp.member @t3 @t1)) % 281.29/281.54 (define @t52 () (tptp.member @t21 tptp.element_relation)) % 281.29/281.54 (define @t53 () (not (tptp.member @t21 @t50))) % 281.29/281.54 (define @t54 () (tptp.member @t42 @t3)) % 281.29/281.54 (define @t55 () (tptp.intersection @t3 @t1)) % 281.29/281.54 (define @t56 () (tptp.member @t42 @t55)) % 281.29/281.54 (define @t57 () (not @t56)) % 281.29/281.54 (define @t58 () (tptp.member @t42 @t1)) % 281.29/281.54 (define @t59 () (not @t54)) % 281.29/281.54 (define @t60 () (tptp.complement @t3)) % 281.29/281.54 (define @t61 () (tptp.member @t42 @t60)) % 281.29/281.54 (define @t62 () (@list @t42 @t3)) % 281.29/281.54 (define @t63 () (not (tptp.member @t42 tptp.universal_class))) % 281.29/281.54 (define @t64 () (tptp.complement (tptp.intersection @t60 (tptp.complement @t1)))) % 281.29/281.54 (define @t65 () (@var "Xr" $$unsorted)) % 281.29/281.54 (define @t66 () (tptp.restrict @t65 @t3 @t1)) % 281.29/281.54 (define @t67 () (tptp.domain_of @t3)) % 281.29/281.54 (define @t68 () (tptp.member @t42 @t67)) % 281.29/281.54 (define @t69 () (= (tptp.restrict @t3 (tptp.singleton @t42) tptp.universal_class) tptp.null_class)) % 281.29/281.54 (define @t70 () (tptp.cross_product @t50 tptp.universal_class)) % 281.29/281.54 (define @t71 () (tptp.rotate @t3)) % 281.29/281.54 (define @t72 () (@var "W" $$unsorted)) % 281.29/281.54 (define @t73 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t28 @t72) @t2) @t3)) % 281.29/281.54 (define @t74 () (tptp.ordered_pair @t29 @t72)) % 281.29/281.54 (define @t75 () (tptp.member @t74 @t71)) % 281.29/281.54 (define @t76 () (@list @t2 @t28 @t72 @t3)) % 281.29/281.54 (define @t77 () (not (tptp.member @t74 @t70))) % 281.29/281.54 (define @t78 () (tptp.flip @t3)) % 281.29/281.54 (define @t79 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t28 @t2) @t72) @t3)) % 281.29/281.54 (define @t80 () (tptp.member @t74 @t78)) % 281.29/281.54 (define @t81 () (@list @t1)) % 281.29/281.54 (define @t82 () (tptp.successor @t3)) % 281.29/281.54 (define @t83 () (= @t82 @t1)) % 281.29/281.54 (define @t84 () (tptp.member @t21 tptp.successor_relation)) % 281.29/281.54 (define @t85 () (tptp.member tptp.null_class @t3)) % 281.29/281.54 (define @t86 () (tptp.inductive @t3)) % 281.29/281.54 (define @t87 () (not @t86)) % 281.29/281.54 (define @t88 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 281.29/281.54 (define @t89 () (tptp.sum_class @t3)) % 281.29/281.54 (define @t90 () (@var "Yr" $$unsorted)) % 281.29/281.54 (define @t91 () (tptp.compose @t90 @t65)) % 281.29/281.54 (define @t92 () (tptp.member @t42 (tptp.image @t90 (tptp.image @t65 @t22)))) % 281.29/281.54 (define @t93 () (tptp.ordered_pair @t1 @t42)) % 281.29/281.54 (define @t94 () (tptp.member @t93 @t91)) % 281.29/281.54 (define @t95 () (not (tptp.member @t93 @t50))) % 281.29/281.54 (define @t96 () (tptp.inverse @t3)) % 281.29/281.54 (define @t97 () (tptp.compose @t3 @t96)) % 281.29/281.54 (define @t98 () (tptp.subclass @t97 tptp.identity_relation)) % 281.29/281.54 (define @t99 () (tptp.single_valued_class @t3)) % 281.29/281.54 (define @t100 () (@var "Xf" $$unsorted)) % 281.29/281.54 (define @t101 () (tptp.subclass @t100 @t50)) % 281.29/281.54 (define @t102 () (tptp.function @t100)) % 281.29/281.54 (define @t103 () (not @t102)) % 281.29/281.54 (define @t104 () (@list @t100)) % 281.29/281.54 (define @t105 () (tptp.inverse @t100)) % 281.29/281.54 (define @t106 () (tptp.subclass (tptp.compose @t100 @t105) tptp.identity_relation)) % 281.29/281.54 (define @t107 () (tptp.regular @t3)) % 281.29/281.54 (define @t108 () (= @t3 tptp.null_class)) % 281.29/281.54 (define @t109 () (@list @t100 @t1)) % 281.29/281.54 (define @t110 () (tptp.one_to_one @t100)) % 281.29/281.54 (define @t111 () (not @t110)) % 281.29/281.54 (define @t112 () (tptp.function @t105)) % 281.29/281.54 (define @t113 () (tptp.inverse tptp.element_relation)) % 281.29/281.54 (define @t114 () (tptp.operation @t100)) % 281.29/281.54 (define @t115 () (not @t114)) % 281.29/281.54 (define @t116 () (tptp.domain_of @t100)) % 281.29/281.54 (define @t117 () (tptp.domain_of @t116)) % 281.29/281.54 (define @t118 () (= (tptp.cross_product @t117 @t117) @t116)) % 281.29/281.54 (define @t119 () (tptp.range_of @t100)) % 281.29/281.54 (define @t120 () (tptp.subclass @t119 @t117)) % 281.29/281.54 (define @t121 () (@var "Xh" $$unsorted)) % 281.29/281.54 (define @t122 () (tptp.function @t121)) % 281.29/281.54 (define @t123 () (@var "Xf2" $$unsorted)) % 281.29/281.54 (define @t124 () (@var "Xf1" $$unsorted)) % 281.29/281.54 (define @t125 () (tptp.compatible @t121 @t124 @t123)) % 281.29/281.54 (define @t126 () (not @t125)) % 281.29/281.54 (define @t127 () (@list @t121 @t124 @t123)) % 281.29/281.54 (define @t128 () (tptp.domain_of @t124)) % 281.29/281.54 (define @t129 () (= (tptp.domain_of @t128) (tptp.domain_of @t121))) % 281.29/281.54 (define @t130 () (tptp.subclass (tptp.range_of @t121) (tptp.domain_of (tptp.domain_of @t123)))) % 281.29/281.54 (define @t131 () (tptp.operation @t124)) % 281.29/281.54 (define @t132 () (tptp.homomorphism @t121 @t124 @t123)) % 281.29/281.54 (define @t133 () (not @t132)) % 281.29/281.54 (define @t134 () (tptp.operation @t123)) % 281.29/281.54 (define @t135 () (tptp.not_homomorphism2 @t121 @t124 @t123)) % 281.29/281.54 (define @t136 () (tptp.not_homomorphism1 @t121 @t124 @t123)) % 281.29/281.54 (define @t137 () (tptp.ordered_pair @t136 @t135)) % 281.29/281.54 (define @t138 () (not @t134)) % 281.29/281.54 (define @t139 () (not @t131)) % 281.29/281.54 (define @t140 () (@list @t124 @t123 @t121)) % 281.29/281.54 (define @t141 () (tptp.compose_class @t3)) % 281.29/281.54 (define @t142 () (tptp.compose @t3 @t1)) % 281.29/281.54 (define @t143 () (= @t142 @t42)) % 281.29/281.54 (define @t144 () (tptp.member @t93 @t141)) % 281.29/281.54 (define @t145 () (@list @t1 @t42 @t3)) % 281.29/281.54 (define @t146 () (tptp.cross_product tptp.universal_class @t50)) % 281.29/281.54 (define @t147 () (tptp.ordered_pair @t3 @t93)) % 281.29/281.54 (define @t148 () (@list @t3 @t1 @t42)) % 281.29/281.54 (define @t149 () (tptp.single_valued1 @t3)) % 281.29/281.54 (define @t150 () (tptp.not_subclass_element @t97 tptp.identity_relation)) % 281.29/281.54 (define @t151 () (tptp.single_valued2 @t3)) % 281.29/281.54 (define @t152 () (tptp.member @t1 @t67)) % 281.29/281.54 (define @t153 () (not (tptp.member @t147 tptp.application_function))) % 281.29/281.54 (define @t154 () (tptp.apply @t3 @t1)) % 281.29/281.54 (define @t155 () (not (tptp.maps @t100 @t3 @t1))) % 281.29/281.54 (define @t156 () (@list @t100 @t3 @t1)) % 281.29/281.54 (define @t157 () (tptp.subclass @t119 @t1)) % 281.29/281.54 (define @t158 () (tptp.cross_product tptp.x tptp.y)) % 281.29/281.54 (define @t159 () (tptp.subclass @t158 @t50)) % 281.29/281.54 (define @t160 () (tptp.not_subclass_element @t158 @t50)) % 281.29/281.54 (define @t161 () (tptp.second @t160)) % 281.29/281.54 (define @t162 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 281.29/281.54 (define @t163 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 281.29/281.54 (define @t164 () (lambda (@list @t163 @t162) (tptp.unordered_pair (tptp.unordered_pair @t163 @t163) (tptp.unordered_pair @t163 (tptp.unordered_pair @t162 @t162))))) % 281.29/281.54 (define @t165 () (_ @t164 @t2 @t28)) % 281.29/281.54 (define @t166 () (tptp.member @t165 @t27)) % 281.29/281.54 (define @t167 () (not @t166)) % 281.29/281.54 (define @t168 () (or @t167 @t35)) % 281.29/281.54 (define @t169 () (tptp.unordered_pair @t1 @t1)) % 281.29/281.54 (define @t170 () (tptp.unordered_pair @t19 (tptp.unordered_pair @t3 @t169))) % 281.29/281.54 (define @t171 () (@var "BOUND_VARIABLE_8126" $$unsorted)) % 281.29/281.54 (define @t172 () (lambda (@list @t171) (tptp.unordered_pair @t171 @t171))) % 281.29/281.54 (define @t173 () (_ @t172 @t1)) % 281.29/281.54 (define @t174 () (tptp.unordered_pair @t3 @t173)) % 281.29/281.54 (define @t175 () (_ @t172 @t3)) % 281.29/281.54 (define @t176 () (tptp.unordered_pair @t175 @t174)) % 281.29/281.54 (define @t177 () (= @t176 @t21)) % 281.29/281.54 (define @t178 () (tptp.first @t160)) % 281.29/281.54 (define @t179 () (@list @t178 @t161 tptp.x tptp.y)) % 281.29/281.54 (define @t180 () (@list @t158 @t50)) % 281.29/281.54 (define @t181 () (tptp.member @t160 @t158)) % 281.29/281.54 (define @t182 () (or @t181 @t159)) % 281.29/281.54 (define @t183 () (@list true false)) % 281.29/281.54 (define @t184 () (_ @t164 @t44 @t43)) % 281.29/281.54 (define @t185 () (= @t42 @t184)) % 281.29/281.54 (define @t186 () (or @t46 @t185)) % 281.29/281.54 (define @t187 () (= @t42 @t45)) % 281.29/281.54 (define @t188 () (or @t46 @t187)) % 281.29/281.54 (define @t189 () (tptp.unordered_pair (tptp.unordered_pair @t178 @t178) (tptp.unordered_pair @t178 (tptp.unordered_pair @t161 @t161)))) % 281.29/281.54 (define @t190 () (= @t160 @t189)) % 281.29/281.54 (define @t191 () (not @t181)) % 281.29/281.54 (define @t192 () (or @t191 @t190)) % 281.29/281.54 (define @t193 () (@list false false)) % 281.29/281.54 (define @t194 () (tptp.member @t189 @t158)) % 281.29/281.54 (define @t195 () (tptp.member @t161 tptp.y)) % 281.29/281.54 (define @t196 () (not @t194)) % 281.29/281.54 (define @t197 () (or @t196 @t195)) % 281.29/281.54 (define @t198 () (or @t5 @t38 @t166)) % 281.29/281.54 (define @t199 () (not (tptp.member @t160 @t50))) % 281.29/281.54 (define @t200 () (or @t199 @t159)) % 281.29/281.54 (define @t201 () (tptp.member @t189 @t50)) % 281.29/281.54 (define @t202 () (or @t167 @t4)) % 281.29/281.54 (define @t203 () (tptp.member @t178 tptp.x)) % 281.29/281.54 (define @t204 () (or @t196 @t203)) % 281.29/281.54 (define @t205 () (tptp.member @t178 tptp.universal_class)) % 281.29/281.54 (define @t206 () (not @t203)) % 281.29/281.54 (define @t207 () (tptp.subclass tptp.x tptp.universal_class)) % 281.29/281.54 (define @t208 () (not @t207)) % 281.29/281.54 (define @t209 () (or @t208 @t206 @t205)) % 281.29/281.54 (define @t210 () (tptp.member @t161 tptp.universal_class)) % 281.29/281.54 (define @t211 () (not @t210)) % 281.29/281.54 (define @t212 () (not @t205)) % 281.29/281.54 (define @t213 () (or @t212 @t211 @t201)) % 281.29/281.54 (define @t214 () (not @t195)) % 281.29/281.54 (define @t215 () (tptp.subclass tptp.y tptp.universal_class)) % 281.29/281.54 (define @t216 () (not @t215)) % 281.29/281.54 (define @t217 () (or @t216 @t214 @t210)) % 281.29/281.54 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 281.29/281.54 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 281.29/281.54 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 281.29/281.54 (assume @p4 @t11) % 281.29/281.54 (assume @p5 (forall @t9 (or @t13 @t6))) % 281.29/281.54 (assume @p6 (forall @t9 (or @t13 @t14))) % 281.29/281.54 (assume @p7 (forall @t9 (or @t7 (not @t14) @t12))) % 281.29/281.54 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t15)) (= @t2 @t3) (= @t2 @t1)))) % 281.29/281.54 (assume @p9 (forall @t9 (or @t16 (tptp.member @t3 @t15)))) % 281.29/281.54 (assume @p10 (forall (@list @t1 @t3) (or @t17 (tptp.member @t1 @t15)))) % 281.29/281.54 (assume @p11 (forall @t9 (tptp.member @t15 tptp.universal_class))) % 281.29/281.54 (assume @p12 @t20) % 281.29/281.54 (assume @p13 @t26) % 281.29/281.54 (assume @p14 @t34) % 281.29/281.54 (assume @p15 @t37) % 281.29/281.54 (assume @p16 @t41) % 281.29/281.54 (assume @p17 @t49) % 281.29/281.54 (assume @p18 (tptp.subclass tptp.element_relation @t50)) % 281.29/281.54 (assume @p19 (forall @t9 (or (not @t52) @t51))) % 281.29/281.54 (assume @p20 (forall @t9 (or @t53 (not @t51) @t52))) % 281.29/281.54 (assume @p21 (forall @t48 (or @t57 @t54))) % 281.29/281.54 (assume @p22 (forall @t48 (or @t57 @t58))) % 281.29/281.54 (assume @p23 (forall @t48 (or @t59 (not @t58) @t56))) % 281.29/281.54 (assume @p24 (forall @t62 (or (not @t61) @t59))) % 281.29/281.54 (assume @p25 (forall @t62 (or @t63 @t61 @t54))) % 281.29/281.54 (assume @p26 (forall @t9 (= @t64 (tptp.union @t3 @t1)))) % 281.29/281.54 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t55) @t64) (tptp.symmetric_difference @t3 @t1)))) % 281.29/281.54 (assume @p28 (forall (@list @t65 @t3 @t1) (= (tptp.intersection @t65 @t27) @t66))) % 281.29/281.54 (assume @p29 (forall (@list @t3 @t1 @t65) (= (tptp.intersection @t27 @t65) @t66))) % 281.29/281.54 (assume @p30 (forall (@list @t3 @t42) (or (not @t69) (not @t68)))) % 281.29/281.54 (assume @p31 (forall @t62 (or @t63 @t69 @t68))) % 281.29/281.54 (assume @p32 (forall @t10 (tptp.subclass @t71 @t70))) % 281.29/281.54 (assume @p33 (forall @t76 (or (not @t75) @t73))) % 281.29/281.54 (assume @p34 (forall (@list @t28 @t72 @t2 @t3) (or (not @t73) @t77 @t75))) % 281.29/281.54 (assume @p35 (forall @t10 (tptp.subclass @t78 @t70))) % 281.29/281.54 (assume @p36 (forall @t76 (or (not @t80) @t79))) % 281.29/281.54 (assume @p37 (forall (@list @t28 @t2 @t72 @t3) (or (not @t79) @t77 @t80))) % 281.29/281.54 (assume @p38 (forall @t81 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 281.29/281.54 (assume @p39 (forall (@list @t42) (= (tptp.domain_of (tptp.inverse @t42)) (tptp.range_of @t42)))) % 281.29/281.54 (assume @p40 (forall @t48 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t42 @t3 @t22) tptp.null_class)) (tptp.domain @t42 @t3 @t1)))) % 281.29/281.54 (assume @p41 (forall @t48 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t42 @t18 @t1) tptp.null_class)) (tptp.range @t42 @t3 @t1)))) % 281.29/281.54 (assume @p42 (forall (@list @t65 @t3) (= (tptp.range_of (tptp.restrict @t65 @t3 tptp.universal_class)) (tptp.image @t65 @t3)))) % 281.29/281.54 (assume @p43 (forall @t10 (= (tptp.union @t3 @t18) @t82))) % 281.29/281.54 (assume @p44 (tptp.subclass tptp.successor_relation @t50)) % 281.29/281.54 (assume @p45 (forall @t9 (or (not @t84) @t83))) % 281.29/281.54 (assume @p46 (forall @t9 (or (not @t83) @t53 @t84))) % 281.29/281.54 (assume @p47 (forall @t10 (or @t87 @t85))) % 281.29/281.54 (assume @p48 (forall @t10 (or @t87 @t88))) % 281.29/281.54 (assume @p49 (forall @t10 (or (not @t85) (not @t88) @t86))) % 281.29/281.54 (assume @p50 (tptp.inductive tptp.omega)) % 281.29/281.54 (assume @p51 (forall @t81 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 281.29/281.54 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 281.29/281.54 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t89))) % 281.29/281.54 (assume @p54 (forall @t10 (or @t16 (tptp.member @t89 tptp.universal_class)))) % 281.29/281.54 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t60)) (tptp.power_class @t3)))) % 281.29/281.54 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 281.29/281.54 (assume @p57 (forall (@list @t90 @t65) (tptp.subclass @t91 @t50))) % 281.29/281.54 (assume @p58 (forall (@list @t1 @t42 @t90 @t65) (or (not @t94) @t92))) % 281.29/281.54 (assume @p59 (forall (@list @t42 @t90 @t65 @t1) (or (not @t92) @t95 @t94))) % 281.29/281.54 (assume @p60 (forall @t10 (or (not @t99) @t98))) % 281.29/281.54 (assume @p61 (forall @t10 (or (not @t98) @t99))) % 281.29/281.54 (assume @p62 (forall @t104 (or @t103 @t101))) % 281.29/281.54 (assume @p63 (forall @t104 (or @t103 @t106))) % 281.29/281.54 (assume @p64 (forall @t104 (or (not @t101) (not @t106) @t102))) % 281.29/281.54 (assume @p65 (forall (@list @t100 @t3) (or @t103 @t16 (tptp.member (tptp.image @t100 @t3) tptp.universal_class)))) % 281.29/281.54 (assume @p66 (forall @t10 (or @t108 (tptp.member @t107 @t3)))) % 281.29/281.54 (assume @p67 (forall @t10 (or @t108 (= (tptp.intersection @t3 @t107) tptp.null_class)))) % 281.29/281.54 (assume @p68 (forall @t109 (= (tptp.sum_class (tptp.image @t100 @t22)) (tptp.apply @t100 @t1)))) % 281.29/281.54 (assume @p69 (tptp.function tptp.choice)) % 281.29/281.54 (assume @p70 (forall @t81 (or @t17 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 281.29/281.54 (assume @p71 (forall @t104 (or @t111 @t102))) % 281.29/281.54 (assume @p72 (forall @t104 (or @t111 @t112))) % 281.29/281.54 (assume @p73 (forall @t104 (or (not @t112) @t103 @t110))) % 281.29/281.54 (assume @p74 (= (tptp.intersection @t50 (tptp.intersection @t50 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t113)))) tptp.subset_relation)) % 281.29/281.54 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 281.29/281.54 (assume @p76 (forall (@list @t65) (= (tptp.complement (tptp.domain_of (tptp.intersection @t65 tptp.identity_relation))) (tptp.diagonalise @t65)))) % 281.29/281.54 (assume @p77 (forall @t10 (= (tptp.intersection @t67 (tptp.diagonalise (tptp.compose @t113 @t3))) (tptp.cantor @t3)))) % 281.29/281.54 (assume @p78 (forall @t104 (or @t115 @t102))) % 281.29/281.54 (assume @p79 (forall @t104 (or @t115 @t118))) % 281.29/281.54 (assume @p80 (forall @t104 (or @t115 @t120))) % 281.29/281.54 (assume @p81 (forall @t104 (or @t103 (not @t118) (not @t120) @t114))) % 281.29/281.54 (assume @p82 (forall @t127 (or @t126 @t122))) % 281.29/281.54 (assume @p83 (forall @t127 (or @t126 @t129))) % 281.29/281.54 (assume @p84 (forall @t127 (or @t126 @t130))) % 281.29/281.54 (assume @p85 (forall @t127 (or (not @t122) (not @t129) (not @t130) @t125))) % 281.29/281.54 (assume @p86 (forall @t127 (or @t133 @t131))) % 281.29/281.54 (assume @p87 (forall @t127 (or @t133 @t134))) % 281.29/281.54 (assume @p88 (forall @t127 (or @t133 @t125))) % 281.29/281.54 (assume @p89 (forall (@list @t121 @t124 @t123 @t3 @t1) (or @t133 (not (tptp.member @t21 @t128)) (= (tptp.apply @t123 (tptp.ordered_pair (tptp.apply @t121 @t3) (tptp.apply @t121 @t1))) (tptp.apply @t121 (tptp.apply @t124 @t21)))))) % 281.29/281.54 (assume @p90 (forall @t140 (or @t139 @t138 @t126 (tptp.member @t137 @t128) @t132))) % 281.29/281.54 (assume @p91 (forall @t140 (or @t139 @t138 @t126 (not (= (tptp.apply @t123 (tptp.ordered_pair (tptp.apply @t121 @t136) (tptp.apply @t121 @t135))) (tptp.apply @t121 (tptp.apply @t124 @t137)))) @t132))) % 281.29/281.54 (assume @p92 (forall @t10 (tptp.subclass @t141 @t50))) % 281.29/281.54 (assume @p93 (forall @t145 (or (not @t144) @t143))) % 281.29/281.54 (assume @p94 (forall @t145 (or @t95 (not @t143) @t144))) % 281.29/281.54 (assume @p95 (tptp.subclass tptp.composition_function @t146)) % 281.29/281.54 (assume @p96 (forall @t148 (or (not (tptp.member @t147 tptp.composition_function)) @t143))) % 281.29/281.54 (assume @p97 (forall @t9 (or @t53 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t142)) tptp.composition_function)))) % 281.29/281.54 (assume @p98 (tptp.subclass tptp.domain_relation @t50)) % 281.29/281.54 (assume @p99 (forall @t9 (or (not (tptp.member @t21 tptp.domain_relation)) (= @t67 @t1)))) % 281.29/281.54 (assume @p100 (forall @t10 (or @t16 (tptp.member (tptp.ordered_pair @t3 @t67) tptp.domain_relation)))) % 281.29/281.54 (assume @p101 (forall @t10 (= (tptp.first @t150) @t149))) % 281.29/281.54 (assume @p102 (forall @t10 (= (tptp.second @t150) @t151))) % 281.29/281.54 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t96 (tptp.singleton @t149)) @t151) (tptp.single_valued3 @t3)))) % 281.29/281.54 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation (tptp.complement tptp.identity_relation))) tptp.element_relation) tptp.singleton_relation)) % 281.29/281.54 (assume @p105 (tptp.subclass tptp.application_function @t146)) % 281.29/281.54 (assume @p106 (forall @t148 (or @t153 @t152))) % 281.29/281.54 (assume @p107 (forall @t148 (or @t153 (= @t154 @t42)))) % 281.29/281.54 (assume @p108 (forall @t148 (or (not (tptp.member @t147 @t146)) (not @t152) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t154)) tptp.application_function)))) % 281.29/281.54 (assume @p109 (forall @t156 (or @t155 @t102))) % 281.29/281.54 (assume @p110 (forall @t156 (or @t155 (= @t116 @t3)))) % 281.29/281.54 (assume @p111 (forall @t156 (or @t155 @t157))) % 281.29/281.54 (assume @p112 (forall @t109 (or @t103 (not @t157) (tptp.maps @t100 @t116 @t1)))) % 281.29/281.54 (assume @p113 (not @t159)) % 281.29/281.54 (step @p114 :rule instantiate :premises (@p1) :args ((@list tptp.y tptp.universal_class @t161))) % 281.29/281.54 (step @p115 :rule refl :args (@t35)) % 281.29/281.54 (step @p116 :rule refl :args (@t27)) % 281.29/281.54 (step @p117 :rule beta-reduce :args ((= @t165 (tptp.unordered_pair (tptp.unordered_pair @t2 @t2) (tptp.unordered_pair @t2 (tptp.unordered_pair @t28 @t28)))))) % 281.29/281.54 (step @p118 :rule cong :premises (@p117 @p116) :args (@t166)) % 281.29/281.54 (step @p119 :rule cong :premises (@p118) :args (@t167)) % 281.29/281.54 (step @p120 :rule nary_cong :premises (@p119 @p115) :args (@t168)) % 281.29/281.54 (step @p121 :rule cong :premises (@p120) :args ((forall @t33 @t168))) % 281.29/281.54 (step @p122 :rule refl :args (@t28)) % 281.29/281.54 (step @p123 :rule refl :args (@t2)) % 281.29/281.54 ; WARNING: add trust step for TRUST % 281.29/281.54 ; trust TRUST SUBS_EQ % 281.29/281.54 (step @p124 :rule trust :premises () :args ((= (forall @t9 (= @t21 @t170)) (= tptp.ordered_pair @t164)))) % 281.29/281.54 (step @p125 :rule eq-symm :args (@t170 @t21)) % 281.29/281.54 (step @p126 :rule refl :args (@t21)) % 281.29/281.54 (step @p127 :rule beta-reduce :args ((= @t173 @t169))) % 281.29/281.54 (step @p128 :rule refl :args (@t3)) % 281.29/281.54 (step @p129 :rule cong :premises (@p128 @p127) :args (@t174)) % 281.29/281.54 (step @p130 :rule beta-reduce :args ((= @t175 @t19))) % 281.29/281.54 (step @p131 :rule cong :premises (@p130 @p129) :args (@t176)) % 281.29/281.54 (step @p132 :rule cong :premises (@p131 @p126) :args (@t177)) % 281.29/281.54 (step @p133 :rule trans :premises (@p132 @p125)) % 281.29/281.54 (step @p134 :rule cong :premises (@p133) :args ((forall @t9 @t177))) % 281.29/281.54 (step @p135 :rule refl :args (@t1)) % 281.29/281.54 ; trust TRUST SUBS_EQ % 281.29/281.54 (step @p136 :rule trust :premises () :args ((= @t20 (= tptp.singleton @t172)))) % 281.29/281.54 (step @p137 :rule eq_resolve :premises (@p12 @p136)) % 281.29/281.54 (step @p138 :rule ho_cong :premises (@p137 @p135)) % 281.29/281.54 (step @p139 :rule cong :premises (@p128 @p138) :args (@t23)) % 281.29/281.54 (step @p140 :rule ho_cong :premises (@p137 @p128)) % 281.29/281.54 (step @p141 :rule cong :premises (@p140 @p139) :args (@t24)) % 281.29/281.54 (step @p142 :rule cong :premises (@p141 @p126) :args (@t25)) % 281.29/281.54 (step @p143 :rule cong :premises (@p142) :args (@t26)) % 281.29/281.54 (step @p144 :rule trans :premises (@p143 @p134)) % 281.29/281.54 (step @p145 :rule eq_resolve :premises (@p13 @p144)) % 281.29/281.54 (step @p146 :rule eq_resolve :premises (@p145 @p124)) % 281.29/281.54 (step @p147 :rule ho_cong :premises (@p146 @p123 @p122)) % 281.29/281.54 (step @p148 :rule cong :premises (@p147 @p116) :args (@t30)) % 281.29/281.54 (step @p149 :rule cong :premises (@p148) :args (@t31)) % 281.29/281.54 (step @p150 :rule nary_cong :premises (@p149 @p115) :args (@t36)) % 281.29/281.54 (step @p151 :rule cong :premises (@p150) :args (@t37)) % 281.29/281.54 (step @p152 :rule trans :premises (@p151 @p121)) % 281.29/281.54 (step @p153 :rule eq_resolve :premises (@p15 @p152)) % 281.29/281.54 (step @p154 :rule instantiate :premises (@p153) :args (@t179)) % 281.29/281.54 (step @p155 :rule instantiate :premises (@p2) :args (@t180)) % 281.29/281.54 (step @p156 :rule cnf_or_pos :args (@t182)) % 281.29/281.54 (step @p157 :rule reordering :premises (@p156) :args ((or @t159 @t181 (not @t182)))) % 281.29/281.54 (step @p158 :rule chain_m_resolution :premises (@p157 @p113 @p155) :args (@t181 @t183 (@list @t159 @t182))) % 281.29/281.54 (step @p159 :rule true_intro :premises (@p158)) % 281.29/281.54 (step @p160 :rule refl :args (@t158)) % 281.29/281.54 (step @p161 :rule beta-reduce :args ((= @t184 (tptp.unordered_pair (tptp.unordered_pair @t44 @t44) (tptp.unordered_pair @t44 (tptp.unordered_pair @t43 @t43)))))) % 281.29/281.54 (step @p162 :rule refl :args (@t42)) % 281.29/281.54 (step @p163 :rule cong :premises (@p162 @p161) :args (@t185)) % 281.29/281.54 (step @p164 :rule refl :args (@t46)) % 281.29/281.54 (step @p165 :rule nary_cong :premises (@p164 @p163) :args (@t186)) % 281.29/281.54 (step @p166 :rule cong :premises (@p165) :args ((forall @t48 @t186))) % 281.29/281.54 (step @p167 :rule refl :args (@t43)) % 281.29/281.54 (step @p168 :rule refl :args (@t44)) % 281.29/281.54 (step @p169 :rule ho_cong :premises (@p146 @p168 @p167)) % 281.29/281.54 (step @p170 :rule cong :premises (@p162 @p169) :args (@t187)) % 281.29/281.54 (step @p171 :rule nary_cong :premises (@p164 @p170) :args (@t188)) % 281.29/281.54 (step @p172 :rule cong :premises (@p171) :args ((forall @t48 @t188))) % 281.29/281.54 (step @p173 :rule trans :premises (@p172 @p166)) % 281.29/281.54 (step @p174 :rule eq-symm :args (@t45 @t42)) % 281.29/281.54 (step @p175 :rule nary_cong :premises (@p164 @p174) :args (@t47)) % 281.29/281.54 (step @p176 :rule cong :premises (@p175) :args (@t49)) % 281.29/281.54 (step @p177 :rule trans :premises (@p176 @p173)) % 281.29/281.54 (step @p178 :rule eq_resolve :premises (@p17 @p177)) % 281.29/281.54 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t160 tptp.x tptp.y))) % 281.29/281.54 (step @p180 :rule cnf_or_pos :args (@t192)) % 281.29/281.54 (step @p181 :rule reordering :premises (@p180) :args ((or @t191 @t190 (not @t192)))) % 281.29/281.54 (step @p182 :rule chain_m_resolution :premises (@p181 @p158 @p179) :args (@t190 @t193 (@list @t181 @t192))) % 281.29/281.54 (step @p183 :rule symm :premises (@p182)) % 281.29/281.54 (step @p184 :rule cong :premises (@p183 @p160) :args (@t194)) % 281.29/281.54 (step @p185 :rule trans :premises (@p184 @p159)) % 281.29/281.54 (step @p186 :rule true_elim :premises (@p185)) % 281.29/281.54 (step @p187 :rule cnf_or_pos :args (@t197)) % 281.29/281.54 (step @p188 :rule reordering :premises (@p187) :args ((or @t196 @t195 (not @t197)))) % 281.29/281.54 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p154) :args (@t195 @t193 (@list @t194 @t197))) % 281.29/281.54 (step @p190 :rule refl :args (@t38)) % 281.29/281.54 (step @p191 :rule refl :args (@t5)) % 281.29/281.54 (step @p192 :rule nary_cong :premises (@p191 @p190 @p118) :args (@t198)) % 281.29/281.54 (step @p193 :rule cong :premises (@p192) :args ((forall @t40 @t198))) % 281.29/281.54 (step @p194 :rule nary_cong :premises (@p191 @p190 @p148) :args (@t39)) % 281.29/281.54 (step @p195 :rule cong :premises (@p194) :args (@t41)) % 281.29/281.54 (step @p196 :rule trans :premises (@p195 @p193)) % 281.29/281.54 (step @p197 :rule eq_resolve :premises (@p16 @p196)) % 281.29/281.54 (step @p198 :rule instantiate :premises (@p197) :args ((@list @t178 tptp.universal_class @t161 tptp.universal_class))) % 281.29/281.54 (step @p199 :rule instantiate :premises (@p3) :args (@t180)) % 281.29/281.54 (step @p200 :rule cnf_or_pos :args (@t200)) % 281.29/281.54 (step @p201 :rule reordering :premises (@p200) :args ((or @t159 @t199 (not @t200)))) % 281.29/281.54 (step @p202 :rule chain_m_resolution :premises (@p201 @p113 @p199) :args (@t199 @t183 (@list @t159 @t200))) % 281.29/281.54 (step @p203 :rule false_intro :premises (@p202)) % 281.29/281.54 (step @p204 :rule refl :args (@t50)) % 281.29/281.54 (step @p205 :rule cong :premises (@p183 @p204) :args (@t201)) % 281.29/281.54 (step @p206 :rule trans :premises (@p205 @p203)) % 281.29/281.54 (step @p207 :rule false_elim :premises (@p206)) % 281.29/281.54 (step @p208 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.universal_class @t178))) % 281.29/281.54 (step @p209 :rule instantiate :premises (@p4) :args ((@list tptp.x))) % 281.29/281.54 (step @p210 :rule refl :args (@t4)) % 281.29/281.54 (step @p211 :rule nary_cong :premises (@p119 @p210) :args (@t202)) % 281.29/281.54 (step @p212 :rule cong :premises (@p211) :args ((forall @t33 @t202))) % 281.29/281.54 (step @p213 :rule nary_cong :premises (@p149 @p210) :args (@t32)) % 281.29/281.54 (step @p214 :rule cong :premises (@p213) :args (@t34)) % 281.29/281.54 (step @p215 :rule trans :premises (@p214 @p212)) % 281.29/281.54 (step @p216 :rule eq_resolve :premises (@p14 @p215)) % 281.29/281.54 (step @p217 :rule instantiate :premises (@p216) :args (@t179)) % 281.29/281.54 (step @p218 :rule cnf_or_pos :args (@t204)) % 281.29/281.54 (step @p219 :rule reordering :premises (@p218) :args ((or @t196 @t203 (not @t204)))) % 281.29/281.54 (step @p220 :rule chain_m_resolution :premises (@p219 @p186 @p217) :args (@t203 @t193 (@list @t194 @t204))) % 281.29/281.54 (step @p221 :rule cnf_or_pos :args (@t209)) % 281.29/281.54 (step @p222 :rule reordering :premises (@p221) :args ((or @t205 @t206 @t208 (not @t209)))) % 281.29/281.54 (step @p223 :rule chain_m_resolution :premises (@p222 @p220 @p209 @p208) :args (@t205 (@list false false false) (@list @t203 @t207 @t209))) % 281.29/281.54 (step @p224 :rule cnf_or_pos :args (@t213)) % 281.29/281.54 (step @p225 :rule reordering :premises (@p224) :args ((or @t212 @t211 @t201 (not @t213)))) % 281.29/281.54 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p207 @p198) :args (@t211 (@list false true false) (@list @t205 @t201 @t213))) % 281.29/281.54 (step @p227 :rule cnf_or_pos :args (@t217)) % 281.29/281.54 (step @p228 :rule reordering :premises (@p227) :args ((or @t210 @t214 @t216 (not @t217)))) % 281.29/281.54 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p189 @p114) :args (@t216 (@list true false false) (@list @t210 @t195 @t217))) % 281.29/281.54 (assume-push @p236 @t11) % 281.29/281.54 (step @p231 :rule instantiate :premises (@p4) :args ((@list tptp.y))) % 281.29/281.54 (step-pop @p237 :rule scope :premises (@p231)) % 281.29/281.54 (step @p232 :rule process_scope :premises (@p237) :args (@t215)) % 281.29/281.54 (step @p234 :rule implies_elim :premises (@p232)) % 281.29/281.54 (step @p235 false :rule chain_m_resolution :premises (@p234 @p229 @p4) :args (false @t183 (@list @t215 @t11))) % 281.29/281.54 ) % 281.29/281.54 % SZS output end Proof % 281.29/281.54 % cvc5 exiting %------------------------------------------------------------------------------