%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET079-6 : 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 : n007.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 08:47:17 AM UTC 2026 % Result : Unsatisfiable 17.03s 17.29s % Output : Proof 17.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET079-6 : 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 : n007.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 14:50:41 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.85 --- Run --no-e-matching --full-saturate-quant at 6... % 17.03/17.29 % SZS status Unsatisfiable % 17.03/17.29 % SZS output start Proof % 17.13/17.30 ( % 17.13/17.30 (declare-sort $$unsorted 0) % 17.13/17.30 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.operation (-> $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.function (-> $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.element_relation $$unsorted) % 17.13/17.30 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.universal_class $$unsorted) % 17.13/17.30 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.successor_relation $$unsorted) % 17.13/17.30 (declare-const tptp.choice $$unsorted) % 17.13/17.30 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.subset_relation $$unsorted) % 17.13/17.30 (declare-const tptp.null_class $$unsorted) % 17.13/17.30 (declare-const tptp.x $$unsorted) % 17.13/17.30 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.omega $$unsorted) % 17.13/17.30 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.13/17.30 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.identity_relation $$unsorted) % 17.13/17.30 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 17.13/17.30 (declare-const tptp.inductive (-> $$unsorted Bool)) % 17.13/17.30 (define @t1 () (@var "Y" $$unsorted)) % 17.13/17.30 (define @t2 () (@var "U" $$unsorted)) % 17.13/17.30 (define @t3 () (@var "X" $$unsorted)) % 17.13/17.30 (define @t4 () (tptp.member @t2 @t3)) % 17.13/17.30 (define @t5 () (not @t4)) % 17.13/17.30 (define @t6 () (tptp.subclass @t3 @t1)) % 17.13/17.30 (define @t7 () (not @t6)) % 17.13/17.30 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 17.13/17.30 (define @t9 () (@list @t3 @t1)) % 17.13/17.30 (define @t10 () (@list @t3)) % 17.13/17.30 (define @t11 () (= @t3 @t1)) % 17.13/17.30 (define @t12 () (not @t11)) % 17.13/17.30 (define @t13 () (tptp.subclass @t1 @t3)) % 17.13/17.30 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 17.13/17.30 (define @t15 () (not (tptp.member @t2 @t14))) % 17.13/17.30 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 17.13/17.30 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 17.13/17.30 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 17.13/17.30 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 17.13/17.30 (define @t20 () (tptp.singleton @t3)) % 17.13/17.30 (define @t21 () (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t20))) % 17.13/17.30 (define @t22 () (tptp.ordered_pair @t3 @t1)) % 17.13/17.30 (define @t23 () (tptp.singleton @t1)) % 17.13/17.30 (define @t24 () (tptp.cross_product @t3 @t1)) % 17.13/17.30 (define @t25 () (@var "V" $$unsorted)) % 17.13/17.30 (define @t26 () (tptp.ordered_pair @t2 @t25)) % 17.13/17.30 (define @t27 () (tptp.member @t26 @t24)) % 17.13/17.30 (define @t28 () (not @t27)) % 17.13/17.30 (define @t29 () (@list @t2 @t25 @t3 @t1)) % 17.13/17.30 (define @t30 () (tptp.member @t25 @t1)) % 17.13/17.30 (define @t31 () (@var "Z" $$unsorted)) % 17.13/17.30 (define @t32 () (@list @t31 @t3 @t1)) % 17.13/17.30 (define @t33 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 17.13/17.30 (define @t34 () (tptp.member @t3 @t1)) % 17.13/17.30 (define @t35 () (tptp.member @t22 tptp.element_relation)) % 17.13/17.30 (define @t36 () (not (tptp.member @t22 @t33))) % 17.13/17.30 (define @t37 () (tptp.member @t31 @t3)) % 17.13/17.30 (define @t38 () (tptp.intersection @t3 @t1)) % 17.13/17.30 (define @t39 () (tptp.member @t31 @t38)) % 17.13/17.30 (define @t40 () (not @t39)) % 17.13/17.30 (define @t41 () (tptp.member @t31 @t1)) % 17.13/17.30 (define @t42 () (not @t37)) % 17.13/17.30 (define @t43 () (tptp.complement @t3)) % 17.13/17.30 (define @t44 () (tptp.member @t31 @t43)) % 17.13/17.30 (define @t45 () (@list @t31 @t3)) % 17.13/17.30 (define @t46 () (not (tptp.member @t31 tptp.universal_class))) % 17.13/17.30 (define @t47 () (tptp.complement (tptp.intersection @t43 (tptp.complement @t1)))) % 17.13/17.30 (define @t48 () (@var "Xr" $$unsorted)) % 17.13/17.30 (define @t49 () (tptp.restrict @t48 @t3 @t1)) % 17.13/17.30 (define @t50 () (tptp.domain_of @t3)) % 17.13/17.30 (define @t51 () (tptp.member @t31 @t50)) % 17.13/17.30 (define @t52 () (= (tptp.restrict @t3 (tptp.singleton @t31) tptp.universal_class) tptp.null_class)) % 17.13/17.30 (define @t53 () (tptp.cross_product @t33 tptp.universal_class)) % 17.13/17.30 (define @t54 () (tptp.rotate @t3)) % 17.13/17.30 (define @t55 () (@var "W" $$unsorted)) % 17.13/17.30 (define @t56 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t55) @t2) @t3)) % 17.13/17.30 (define @t57 () (tptp.ordered_pair @t26 @t55)) % 17.13/17.30 (define @t58 () (tptp.member @t57 @t54)) % 17.13/17.30 (define @t59 () (@list @t2 @t25 @t55 @t3)) % 17.13/17.30 (define @t60 () (not (tptp.member @t57 @t53))) % 17.13/17.30 (define @t61 () (tptp.flip @t3)) % 17.13/17.30 (define @t62 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t25 @t2) @t55) @t3)) % 17.13/17.30 (define @t63 () (tptp.member @t57 @t61)) % 17.13/17.30 (define @t64 () (@list @t1)) % 17.13/17.30 (define @t65 () (tptp.successor @t3)) % 17.13/17.30 (define @t66 () (= @t65 @t1)) % 17.13/17.30 (define @t67 () (tptp.member @t22 tptp.successor_relation)) % 17.13/17.30 (define @t68 () (tptp.member tptp.null_class @t3)) % 17.13/17.30 (define @t69 () (tptp.inductive @t3)) % 17.13/17.30 (define @t70 () (not @t69)) % 17.13/17.30 (define @t71 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 17.13/17.30 (define @t72 () (tptp.sum_class @t3)) % 17.13/17.30 (define @t73 () (@var "Yr" $$unsorted)) % 17.13/17.30 (define @t74 () (tptp.compose @t73 @t48)) % 17.13/17.30 (define @t75 () (tptp.member @t31 (tptp.image @t73 (tptp.image @t48 @t23)))) % 17.13/17.30 (define @t76 () (tptp.ordered_pair @t1 @t31)) % 17.13/17.30 (define @t77 () (tptp.member @t76 @t74)) % 17.13/17.30 (define @t78 () (tptp.subclass (tptp.compose @t3 (tptp.inverse @t3)) tptp.identity_relation)) % 17.13/17.30 (define @t79 () (tptp.single_valued_class @t3)) % 17.13/17.30 (define @t80 () (@var "Xf" $$unsorted)) % 17.13/17.30 (define @t81 () (tptp.subclass @t80 @t33)) % 17.13/17.30 (define @t82 () (tptp.function @t80)) % 17.13/17.30 (define @t83 () (not @t82)) % 17.13/17.30 (define @t84 () (@list @t80)) % 17.13/17.30 (define @t85 () (tptp.inverse @t80)) % 17.13/17.30 (define @t86 () (tptp.subclass (tptp.compose @t80 @t85) tptp.identity_relation)) % 17.13/17.30 (define @t87 () (tptp.regular @t3)) % 17.13/17.30 (define @t88 () (= @t3 tptp.null_class)) % 17.13/17.30 (define @t89 () (tptp.intersection @t3 @t87)) % 17.13/17.30 (define @t90 () (or @t88 (= @t89 tptp.null_class))) % 17.13/17.30 (define @t91 () (forall @t10 @t90)) % 17.13/17.30 (define @t92 () (tptp.one_to_one @t80)) % 17.13/17.30 (define @t93 () (not @t92)) % 17.13/17.30 (define @t94 () (tptp.function @t85)) % 17.13/17.30 (define @t95 () (tptp.inverse tptp.element_relation)) % 17.13/17.30 (define @t96 () (tptp.complement tptp.element_relation)) % 17.13/17.30 (define @t97 () (tptp.operation @t80)) % 17.13/17.30 (define @t98 () (not @t97)) % 17.13/17.30 (define @t99 () (tptp.domain_of @t80)) % 17.13/17.30 (define @t100 () (tptp.domain_of @t99)) % 17.13/17.30 (define @t101 () (= (tptp.cross_product @t100 @t100) @t99)) % 17.13/17.30 (define @t102 () (tptp.subclass (tptp.range_of @t80) @t100)) % 17.13/17.30 (define @t103 () (@var "Xh" $$unsorted)) % 17.13/17.30 (define @t104 () (tptp.function @t103)) % 17.13/17.30 (define @t105 () (@var "Xf2" $$unsorted)) % 17.13/17.30 (define @t106 () (@var "Xf1" $$unsorted)) % 17.13/17.30 (define @t107 () (tptp.compatible @t103 @t106 @t105)) % 17.13/17.30 (define @t108 () (not @t107)) % 17.13/17.30 (define @t109 () (@list @t103 @t106 @t105)) % 17.13/17.30 (define @t110 () (tptp.domain_of @t106)) % 17.13/17.30 (define @t111 () (= (tptp.domain_of @t110) (tptp.domain_of @t103))) % 17.13/17.30 (define @t112 () (tptp.subclass (tptp.range_of @t103) (tptp.domain_of (tptp.domain_of @t105)))) % 17.13/17.30 (define @t113 () (tptp.operation @t106)) % 17.13/17.30 (define @t114 () (tptp.homomorphism @t103 @t106 @t105)) % 17.13/17.30 (define @t115 () (not @t114)) % 17.13/17.30 (define @t116 () (tptp.operation @t105)) % 17.13/17.30 (define @t117 () (tptp.not_homomorphism2 @t103 @t106 @t105)) % 17.13/17.30 (define @t118 () (tptp.not_homomorphism1 @t103 @t106 @t105)) % 17.13/17.30 (define @t119 () (tptp.ordered_pair @t118 @t117)) % 17.13/17.30 (define @t120 () (not @t116)) % 17.13/17.30 (define @t121 () (not @t113)) % 17.13/17.30 (define @t122 () (@list @t106 @t105 @t103)) % 17.13/17.30 (define @t123 () (tptp.member tptp.x tptp.universal_class)) % 17.13/17.30 (define @t124 () (tptp.singleton tptp.x)) % 17.13/17.30 (define @t125 () (tptp.unordered_pair tptp.x tptp.x)) % 17.13/17.30 (define @t126 () (= @t125 @t124)) % 17.13/17.30 (define @t127 () (= @t124 @t125)) % 17.13/17.30 (define @t128 () (@list false)) % 17.13/17.30 (define @t129 () (tptp.member tptp.x @t125)) % 17.13/17.30 (define @t130 () (not @t123)) % 17.13/17.30 (define @t131 () (or @t130 @t129)) % 17.13/17.30 (define @t132 () (@list false false)) % 17.13/17.30 (define @t133 () (tptp.unordered_pair tptp.universal_class tptp.universal_class)) % 17.13/17.30 (define @t134 () (tptp.member tptp.x @t133)) % 17.13/17.30 (define @t135 () (= @t124 @t133)) % 17.13/17.30 (define @t136 () (not @t135)) % 17.13/17.30 (define @t137 () (not @t129)) % 17.13/17.30 (define @t138 () (not @t127)) % 17.13/17.30 (define @t139 () (not @t134)) % 17.13/17.30 (define @t140 () (= false true)) % 17.13/17.30 (define @t141 () (and @t129 @t127 @t135 @t139)) % 17.13/17.30 (define @t142 () (tptp.regular @t133)) % 17.13/17.30 (define @t143 () (tptp.intersection @t133 @t142)) % 17.13/17.30 (define @t144 () (tptp.member tptp.x @t143)) % 17.13/17.30 (define @t145 () (not @t144)) % 17.13/17.30 (define @t146 () (or @t145 @t134)) % 17.13/17.30 (define @t147 () (= @t3 @t124)) % 17.13/17.30 (define @t148 () (or @t147 (= @t124 @t89))) % 17.13/17.30 (define @t149 () (= tptp.null_class @t89)) % 17.13/17.30 (define @t150 () (or @t88 @t149)) % 17.13/17.30 (define @t151 () (or (= @t133 @t124) (= @t143 @t124))) % 17.13/17.30 (define @t152 () (forall @t10 (or @t147 (= @t89 @t124)))) % 17.13/17.30 (define @t153 () (= @t124 @t143)) % 17.13/17.30 (define @t154 () (or @t135 @t153)) % 17.13/17.30 (define @t155 () (@list @t152)) % 17.13/17.30 (define @t156 () (not @t153)) % 17.13/17.30 (define @t157 () (and @t129 @t127 @t153 @t145)) % 17.13/17.30 (define @t158 () (= tptp.universal_class tptp.x)) % 17.13/17.30 (define @t159 () (or @t139 @t158 @t158)) % 17.13/17.30 (define @t160 () (tptp.regular @t96)) % 17.13/17.30 (define @t161 () (tptp.member tptp.universal_class @t96)) % 17.13/17.30 (define @t162 () (tptp.intersection @t96 @t160)) % 17.13/17.30 (define @t163 () (tptp.member tptp.universal_class @t162)) % 17.13/17.30 (define @t164 () (not @t163)) % 17.13/17.30 (define @t165 () (or @t164 @t161)) % 17.13/17.30 (define @t166 () (not @t158)) % 17.13/17.30 (define @t167 () (= @t124 @t162)) % 17.13/17.30 (define @t168 () (not @t167)) % 17.13/17.30 (define @t169 () (and @t129 @t158 @t127 @t167 @t164)) % 17.13/17.30 (define @t170 () (= @t96 @t124)) % 17.13/17.30 (define @t171 () (or @t170 (= @t162 @t124))) % 17.13/17.30 (define @t172 () (or @t170 @t167)) % 17.13/17.30 (define @t173 () (not @t170)) % 17.13/17.30 (define @t174 () (not @t161)) % 17.13/17.30 (define @t175 () (and @t129 @t127 @t170 @t158 @t174)) % 17.13/17.30 (define @t176 () (tptp.member tptp.universal_class tptp.element_relation)) % 17.13/17.30 (define @t177 () (not @t176)) % 17.13/17.30 (define @t178 () (or @t174 @t177)) % 17.13/17.30 (define @t179 () (tptp.regular tptp.element_relation)) % 17.13/17.30 (define @t180 () (tptp.intersection tptp.element_relation @t179)) % 17.13/17.30 (define @t181 () (= tptp.element_relation @t124)) % 17.13/17.30 (define @t182 () (or @t181 (= @t180 @t124))) % 17.13/17.30 (define @t183 () (= @t124 @t180)) % 17.13/17.30 (define @t184 () (or @t181 @t183)) % 17.13/17.30 (define @t185 () (tptp.member tptp.universal_class @t180)) % 17.13/17.30 (define @t186 () (not @t185)) % 17.13/17.30 (define @t187 () (or @t186 @t176)) % 17.13/17.30 (define @t188 () (@list true false)) % 17.13/17.30 (define @t189 () (not @t183)) % 17.13/17.30 (define @t190 () (and @t129 @t158 @t127 @t183 @t186)) % 17.13/17.30 (define @t191 () (not @t181)) % 17.13/17.30 (define @t192 () (and @t129 @t127 @t181 @t158 @t177)) % 17.13/17.30 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 17.13/17.30 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 17.13/17.30 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 17.13/17.30 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 17.13/17.30 (assume @p5 (forall @t9 (or @t12 @t6))) % 17.13/17.30 (assume @p6 (forall @t9 (or @t12 @t13))) % 17.13/17.30 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 17.13/17.30 (assume @p8 @t17) % 17.13/17.30 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 17.13/17.30 (assume @p10 (forall (@list @t1 @t3) (or @t19 (tptp.member @t1 @t14)))) % 17.13/17.30 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 17.13/17.30 (assume @p12 @t21) % 17.13/17.30 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t20 (tptp.unordered_pair @t3 @t23)) @t22))) % 17.13/17.30 (assume @p14 (forall @t29 (or @t28 @t4))) % 17.13/17.30 (assume @p15 (forall @t29 (or @t28 @t30))) % 17.13/17.30 (assume @p16 (forall (@list @t2 @t3 @t25 @t1) (or @t5 (not @t30) @t27))) % 17.13/17.30 (assume @p17 (forall @t32 (or (not (tptp.member @t31 @t24)) (= (tptp.ordered_pair (tptp.first @t31) (tptp.second @t31)) @t31)))) % 17.13/17.30 (assume @p18 (tptp.subclass tptp.element_relation @t33)) % 17.13/17.30 (assume @p19 (forall @t9 (or (not @t35) @t34))) % 17.13/17.30 (assume @p20 (forall @t9 (or @t36 (not @t34) @t35))) % 17.13/17.30 (assume @p21 (forall @t32 (or @t40 @t37))) % 17.13/17.30 (assume @p22 (forall @t32 (or @t40 @t41))) % 17.13/17.30 (assume @p23 (forall @t32 (or @t42 (not @t41) @t39))) % 17.13/17.30 (assume @p24 (forall @t45 (or (not @t44) @t42))) % 17.13/17.30 (assume @p25 (forall @t45 (or @t46 @t44 @t37))) % 17.13/17.30 (assume @p26 (forall @t9 (= @t47 (tptp.union @t3 @t1)))) % 17.13/17.30 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t38) @t47) (tptp.symmetric_difference @t3 @t1)))) % 17.13/17.30 (assume @p28 (forall (@list @t48 @t3 @t1) (= (tptp.intersection @t48 @t24) @t49))) % 17.13/17.30 (assume @p29 (forall (@list @t3 @t1 @t48) (= (tptp.intersection @t24 @t48) @t49))) % 17.13/17.30 (assume @p30 (forall (@list @t3 @t31) (or (not @t52) (not @t51)))) % 17.13/17.30 (assume @p31 (forall @t45 (or @t46 @t52 @t51))) % 17.13/17.30 (assume @p32 (forall @t10 (tptp.subclass @t54 @t53))) % 17.13/17.31 (assume @p33 (forall @t59 (or (not @t58) @t56))) % 17.13/17.31 (assume @p34 (forall (@list @t25 @t55 @t2 @t3) (or (not @t56) @t60 @t58))) % 17.13/17.31 (assume @p35 (forall @t10 (tptp.subclass @t61 @t53))) % 17.13/17.31 (assume @p36 (forall @t59 (or (not @t63) @t62))) % 17.13/17.31 (assume @p37 (forall (@list @t25 @t2 @t55 @t3) (or (not @t62) @t60 @t63))) % 17.13/17.31 (assume @p38 (forall @t64 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 17.13/17.31 (assume @p39 (forall (@list @t31) (= (tptp.domain_of (tptp.inverse @t31)) (tptp.range_of @t31)))) % 17.13/17.31 (assume @p40 (forall @t32 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t31 @t3 @t23) tptp.null_class)) (tptp.domain @t31 @t3 @t1)))) % 17.13/17.31 (assume @p41 (forall @t32 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t31 @t20 @t1) tptp.null_class)) (tptp.range @t31 @t3 @t1)))) % 17.13/17.31 (assume @p42 (forall (@list @t48 @t3) (= (tptp.range_of (tptp.restrict @t48 @t3 tptp.universal_class)) (tptp.image @t48 @t3)))) % 17.13/17.31 (assume @p43 (forall @t10 (= (tptp.union @t3 @t20) @t65))) % 17.13/17.31 (assume @p44 (tptp.subclass tptp.successor_relation @t33)) % 17.13/17.31 (assume @p45 (forall @t9 (or (not @t67) @t66))) % 17.13/17.31 (assume @p46 (forall @t9 (or (not @t66) @t36 @t67))) % 17.13/17.31 (assume @p47 (forall @t10 (or @t70 @t68))) % 17.13/17.31 (assume @p48 (forall @t10 (or @t70 @t71))) % 17.13/17.31 (assume @p49 (forall @t10 (or (not @t68) (not @t71) @t69))) % 17.13/17.31 (assume @p50 (tptp.inductive tptp.omega)) % 17.13/17.31 (assume @p51 (forall @t64 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 17.13/17.31 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 17.13/17.31 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t72))) % 17.13/17.31 (assume @p54 (forall @t10 (or @t18 (tptp.member @t72 tptp.universal_class)))) % 17.13/17.31 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t43)) (tptp.power_class @t3)))) % 17.13/17.31 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 17.13/17.31 (assume @p57 (forall (@list @t73 @t48) (tptp.subclass @t74 @t33))) % 17.13/17.31 (assume @p58 (forall (@list @t1 @t31 @t73 @t48) (or (not @t77) @t75))) % 17.13/17.31 (assume @p59 (forall (@list @t31 @t73 @t48 @t1) (or (not @t75) (not (tptp.member @t76 @t33)) @t77))) % 17.13/17.31 (assume @p60 (forall @t10 (or (not @t79) @t78))) % 17.13/17.31 (assume @p61 (forall @t10 (or (not @t78) @t79))) % 17.13/17.31 (assume @p62 (forall @t84 (or @t83 @t81))) % 17.13/17.31 (assume @p63 (forall @t84 (or @t83 @t86))) % 17.13/17.31 (assume @p64 (forall @t84 (or (not @t81) (not @t86) @t82))) % 17.13/17.31 (assume @p65 (forall (@list @t80 @t3) (or @t83 @t18 (tptp.member (tptp.image @t80 @t3) tptp.universal_class)))) % 17.13/17.31 (assume @p66 (forall @t10 (or @t88 (tptp.member @t87 @t3)))) % 17.13/17.31 (assume @p67 @t91) % 17.13/17.31 (assume @p68 (forall (@list @t80 @t1) (= (tptp.sum_class (tptp.image @t80 @t23)) (tptp.apply @t80 @t1)))) % 17.13/17.31 (assume @p69 (tptp.function tptp.choice)) % 17.13/17.31 (assume @p70 (forall @t64 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 17.13/17.31 (assume @p71 (forall @t84 (or @t93 @t82))) % 17.13/17.31 (assume @p72 (forall @t84 (or @t93 @t94))) % 17.13/17.31 (assume @p73 (forall @t84 (or (not @t94) @t83 @t92))) % 17.13/17.31 (assume @p74 (= (tptp.intersection @t33 (tptp.intersection @t33 (tptp.complement (tptp.compose @t96 @t95)))) tptp.subset_relation)) % 17.13/17.31 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 17.13/17.31 (assume @p76 (forall (@list @t48) (= (tptp.complement (tptp.domain_of (tptp.intersection @t48 tptp.identity_relation))) (tptp.diagonalise @t48)))) % 17.13/17.31 (assume @p77 (forall @t10 (= (tptp.intersection @t50 (tptp.diagonalise (tptp.compose @t95 @t3))) (tptp.cantor @t3)))) % 17.13/17.31 (assume @p78 (forall @t84 (or @t98 @t82))) % 17.13/17.31 (assume @p79 (forall @t84 (or @t98 @t101))) % 17.13/17.31 (assume @p80 (forall @t84 (or @t98 @t102))) % 17.13/17.31 (assume @p81 (forall @t84 (or @t83 (not @t101) (not @t102) @t97))) % 17.13/17.31 (assume @p82 (forall @t109 (or @t108 @t104))) % 17.13/17.31 (assume @p83 (forall @t109 (or @t108 @t111))) % 17.13/17.31 (assume @p84 (forall @t109 (or @t108 @t112))) % 17.13/17.31 (assume @p85 (forall @t109 (or (not @t104) (not @t111) (not @t112) @t107))) % 17.13/17.31 (assume @p86 (forall @t109 (or @t115 @t113))) % 17.13/17.31 (assume @p87 (forall @t109 (or @t115 @t116))) % 17.13/17.31 (assume @p88 (forall @t109 (or @t115 @t107))) % 17.13/17.31 (assume @p89 (forall (@list @t103 @t106 @t105 @t3 @t1) (or @t115 (not (tptp.member @t22 @t110)) (= (tptp.apply @t105 (tptp.ordered_pair (tptp.apply @t103 @t3) (tptp.apply @t103 @t1))) (tptp.apply @t103 (tptp.apply @t106 @t22)))))) % 17.13/17.31 (assume @p90 (forall @t122 (or @t121 @t120 @t108 (tptp.member @t119 @t110) @t114))) % 17.13/17.31 (assume @p91 (forall @t122 (or @t121 @t120 @t108 (not (= (tptp.apply @t105 (tptp.ordered_pair (tptp.apply @t103 @t118) (tptp.apply @t103 @t117))) (tptp.apply @t103 (tptp.apply @t106 @t119)))) @t114))) % 17.13/17.31 (assume @p92 @t123) % 17.13/17.31 (assume @p93 (= @t124 tptp.null_class)) % 17.13/17.31 (step @p94 :rule eq-symm :args (@t125 @t124)) % 17.13/17.31 (step @p95 :rule refl :args (@t21)) % 17.13/17.31 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t21 @t126))) % 17.13/17.31 (assume-push @p418 @t21) % 17.13/17.31 (step @p98 :rule instantiate :premises (@p12) :args ((@list tptp.x))) % 17.13/17.31 (step-pop @p419 :rule scope :premises (@p98)) % 17.13/17.31 (step @p99 :rule process_scope :premises (@p419) :args (@t126)) % 17.13/17.31 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 17.13/17.31 (step @p102 :rule implies_elim :premises (@p101)) % 17.13/17.31 (step @p103 :rule chain_m_resolution :premises (@p102 @p12) :args (@t127 @t128 (@list @t21))) % 17.13/17.31 (step @p104 :rule instantiate :premises (@p9) :args ((@list tptp.x tptp.x))) % 17.13/17.31 (step @p105 :rule cnf_or_pos :args (@t131)) % 17.13/17.31 (step @p106 :rule reordering :premises (@p105) :args ((or @t130 @t129 (not @t131)))) % 17.13/17.31 (step @p107 :rule chain_m_resolution :premises (@p106 @p92 @p104) :args (@t129 @t132 (@list @t123 @t131))) % 17.13/17.31 (step @p108 :rule eq-symm :args (@t2 @t1)) % 17.13/17.31 (step @p109 :rule eq-symm :args (@t2 @t3)) % 17.13/17.31 (step @p110 :rule refl :args (@t15)) % 17.13/17.31 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t16)) % 17.13/17.31 (step @p112 :rule cong :premises (@p111) :args (@t17)) % 17.13/17.31 (step @p113 :rule eq_resolve :premises (@p8 @p112)) % 17.13/17.31 (step @p114 :rule instantiate :premises (@p113) :args ((@list tptp.x tptp.universal_class tptp.universal_class))) % 17.13/17.31 (step @p115 :rule bool-double-not-elim :args (@t134)) % 17.13/17.31 (step @p116 :rule refl :args (@t136)) % 17.13/17.31 (step @p117 :rule refl :args (@t137)) % 17.13/17.31 (step @p118 :rule refl :args (@t138)) % 17.13/17.31 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115) :args ((or @t138 @t137 @t136 (not @t139)))) % 17.13/17.31 (assume-push @p420 @t129) % 17.13/17.31 (assume-push @p421 @t127) % 17.13/17.31 (assume-push @p422 @t135) % 17.13/17.31 (assume-push @p423 @t139) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p126 :rule symm :premises (@p422)) % 17.13/17.31 (step @p127 :rule trans :premises (@p126 @p103)) % 17.13/17.31 (step @p128 :rule refl :args (tptp.x)) % 17.13/17.31 (step @p129 :rule cong :premises (@p128 @p127) :args (@t134)) % 17.13/17.31 (step @p130 :rule false_intro :premises (@p423)) % 17.13/17.31 (step @p131 :rule symm :premises (@p130)) % 17.13/17.31 (step @p132 :rule trans :premises (@p131 @p129 @p125)) % 17.13/17.31 (step @p133 false :rule eq_resolve :premises (@p132 @p124)) % 17.13/17.31 (step-pop @p424 :rule scope :premises (@p133)) % 17.13/17.31 (step-pop @p425 :rule scope :premises (@p424)) % 17.13/17.31 (step-pop @p426 :rule scope :premises (@p425)) % 17.13/17.31 (step-pop @p427 :rule scope :premises (@p426)) % 17.13/17.31 (step @p134 :rule process_scope :premises (@p427) :args (false)) % 17.13/17.31 (assume-push @p428 @t127) % 17.13/17.31 (assume-push @p429 @t129) % 17.13/17.31 (assume-push @p430 @t135) % 17.13/17.31 (assume-push @p431 @t139) % 17.13/17.31 (step @p143 :rule and_intro :premises (@p107 @p103 @p430 @p431)) % 17.13/17.31 (step-pop @p432 :rule scope :premises (@p143)) % 17.13/17.31 (step-pop @p433 :rule scope :premises (@p432)) % 17.13/17.31 (step-pop @p434 :rule scope :premises (@p433)) % 17.13/17.31 (step-pop @p435 :rule scope :premises (@p434)) % 17.13/17.31 (step @p144 :rule process_scope :premises (@p435) :args (@t141)) % 17.13/17.31 (step @p149 :rule implies_elim :premises (@p144)) % 17.13/17.31 (step @p150 :rule resolution :premises (@p149 @p134) :args (true @t141)) % 17.13/17.31 (step @p151 :rule not_and :premises (@p150)) % 17.13/17.31 (step @p152 :rule eq_resolve :premises (@p151 @p119)) % 17.13/17.31 (step @p153 :rule instantiate :premises (@p21) :args ((@list tptp.x @t133 @t142))) % 17.13/17.31 (step @p154 :rule cnf_or_pos :args (@t146)) % 17.13/17.31 (step @p155 :rule reordering :premises (@p154) :args ((or @t134 @t145 (not @t146)))) % 17.13/17.31 (step @p156 :rule eq-symm :args (@t124 @t89)) % 17.13/17.31 (step @p157 :rule refl :args (@t147)) % 17.13/17.31 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t148)) % 17.13/17.31 (step @p159 :rule cong :premises (@p158) :args ((forall @t10 @t148))) % 17.13/17.31 (step @p160 :rule refl :args (@t89)) % 17.13/17.31 (step @p161 :rule symm :premises (@p93)) % 17.13/17.31 (step @p162 :rule cong :premises (@p161 @p160) :args (@t149)) % 17.13/17.31 (step @p163 :rule refl :args (@t3)) % 17.13/17.31 (step @p164 :rule cong :premises (@p163 @p161) :args (@t88)) % 17.13/17.31 (step @p165 :rule nary_cong :premises (@p164 @p162) :args (@t150)) % 17.13/17.31 (step @p166 :rule cong :premises (@p165) :args ((forall @t10 @t150))) % 17.13/17.31 (step @p167 :rule trans :premises (@p166 @p159)) % 17.13/17.31 (step @p168 :rule eq-symm :args (@t89 tptp.null_class)) % 17.13/17.31 (step @p169 :rule refl :args (@t88)) % 17.13/17.31 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t90)) % 17.13/17.31 (step @p171 :rule cong :premises (@p170) :args (@t91)) % 17.13/17.31 (step @p172 :rule trans :premises (@p171 @p167)) % 17.13/17.31 (step @p173 :rule eq_resolve :premises (@p67 @p172)) % 17.13/17.31 (step @p174 :rule eq-symm :args (@t143 @t124)) % 17.13/17.31 (step @p175 :rule eq-symm :args (@t133 @t124)) % 17.13/17.31 (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t151)) % 17.13/17.31 (step @p177 :rule refl :args (@t152)) % 17.13/17.31 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t152 @t151))) % 17.13/17.31 (assume-push @p436 @t152) % 17.13/17.31 (step @p180 :rule instantiate :premises (@p173) :args ((@list @t133))) % 17.13/17.31 (step-pop @p437 :rule scope :premises (@p180)) % 17.13/17.31 (step @p181 :rule process_scope :premises (@p437) :args (@t151)) % 17.13/17.31 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 17.13/17.31 (step @p184 :rule implies_elim :premises (@p183)) % 17.13/17.31 (step @p185 :rule chain_m_resolution :premises (@p184 @p173) :args (@t154 @t128 @t155)) % 17.13/17.31 (step @p186 :rule cnf_or_pos :args (@t154)) % 17.13/17.31 (step @p187 :rule reordering :premises (@p186) :args ((or @t135 @t153 (not @t154)))) % 17.13/17.31 (step @p188 :rule bool-double-not-elim :args (@t144)) % 17.13/17.31 (step @p189 :rule refl :args (@t156)) % 17.13/17.31 (step @p190 :rule nary_cong :premises (@p118 @p117 @p189 @p188) :args ((or @t138 @t137 @t156 (not @t145)))) % 17.13/17.31 (assume-push @p438 @t129) % 17.13/17.31 (assume-push @p439 @t127) % 17.13/17.31 (assume-push @p440 @t153) % 17.13/17.31 (assume-push @p441 @t145) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p195 :rule symm :premises (@p440)) % 17.13/17.31 (step @p196 :rule trans :premises (@p195 @p103)) % 17.13/17.31 (step @p128 :rule refl :args (tptp.x)) % 17.13/17.31 (step @p197 :rule cong :premises (@p128 @p196) :args (@t144)) % 17.13/17.31 (step @p198 :rule false_intro :premises (@p441)) % 17.13/17.31 (step @p199 :rule symm :premises (@p198)) % 17.13/17.31 (step @p200 :rule trans :premises (@p199 @p197 @p125)) % 17.13/17.31 (step @p201 false :rule eq_resolve :premises (@p200 @p124)) % 17.13/17.31 (step-pop @p442 :rule scope :premises (@p201)) % 17.13/17.31 (step-pop @p443 :rule scope :premises (@p442)) % 17.13/17.31 (step-pop @p444 :rule scope :premises (@p443)) % 17.13/17.31 (step-pop @p445 :rule scope :premises (@p444)) % 17.13/17.31 (step @p202 :rule process_scope :premises (@p445) :args (false)) % 17.13/17.31 (assume-push @p446 @t127) % 17.13/17.31 (assume-push @p447 @t129) % 17.13/17.31 (assume-push @p448 @t153) % 17.13/17.31 (assume-push @p449 @t145) % 17.13/17.31 (step @p211 :rule and_intro :premises (@p107 @p103 @p448 @p449)) % 17.13/17.31 (step-pop @p450 :rule scope :premises (@p211)) % 17.13/17.31 (step-pop @p451 :rule scope :premises (@p450)) % 17.13/17.31 (step-pop @p452 :rule scope :premises (@p451)) % 17.13/17.31 (step-pop @p453 :rule scope :premises (@p452)) % 17.13/17.31 (step @p212 :rule process_scope :premises (@p453) :args (@t157)) % 17.13/17.31 (step @p217 :rule implies_elim :premises (@p212)) % 17.13/17.31 (step @p218 :rule resolution :premises (@p217 @p202) :args (true @t157)) % 17.13/17.31 (step @p219 :rule not_and :premises (@p218)) % 17.13/17.31 (step @p220 :rule eq_resolve :premises (@p219 @p190)) % 17.13/17.31 (step @p221 :rule chain_m_resolution :premises (@p220 @p107 @p103 @p187 @p185 @p155 @p153 @p152 @p107 @p103) :args (@t134 (@list false false false false true false true false false) (@list @t129 @t127 @t153 @t154 @t144 @t146 @t135 @t129 @t127))) % 17.13/17.31 (step @p222 :rule cnf_or_pos :args (@t159)) % 17.13/17.31 (step @p223 :rule factoring :premises (@p222)) % 17.13/17.31 (step @p224 :rule reordering :premises (@p223) :args ((or @t139 @t158 (not @t159)))) % 17.13/17.31 (step @p225 :rule chain_m_resolution :premises (@p224 @p221 @p114) :args (@t158 @t132 (@list @t134 @t159))) % 17.13/17.31 (step @p226 :rule instantiate :premises (@p24) :args ((@list tptp.universal_class tptp.element_relation))) % 17.13/17.31 (step @p227 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class @t96 @t160))) % 17.13/17.31 (step @p228 :rule cnf_or_pos :args (@t165)) % 17.13/17.31 (step @p229 :rule reordering :premises (@p228) :args ((or @t161 @t164 (not @t165)))) % 17.13/17.31 (step @p230 :rule bool-double-not-elim :args (@t163)) % 17.13/17.31 (step @p231 :rule refl :args (@t166)) % 17.13/17.31 (step @p232 :rule refl :args (@t168)) % 17.13/17.31 (step @p233 :rule nary_cong :premises (@p232 @p118 @p117 @p231 @p230) :args ((or @t168 @t138 @t137 @t166 (not @t164)))) % 17.13/17.31 (assume-push @p454 @t129) % 17.13/17.31 (assume-push @p455 @t158) % 17.13/17.31 (assume-push @p456 @t127) % 17.13/17.31 (assume-push @p457 @t167) % 17.13/17.31 (assume-push @p458 @t164) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p239 :rule symm :premises (@p457)) % 17.13/17.31 (step @p240 :rule trans :premises (@p239 @p103)) % 17.13/17.31 (step @p241 :rule cong :premises (@p455 @p240) :args (@t163)) % 17.13/17.31 (step @p242 :rule false_intro :premises (@p458)) % 17.13/17.31 (step @p243 :rule symm :premises (@p242)) % 17.13/17.31 (step @p244 :rule trans :premises (@p243 @p241 @p125)) % 17.13/17.31 (step @p245 false :rule eq_resolve :premises (@p244 @p124)) % 17.13/17.31 (step-pop @p459 :rule scope :premises (@p245)) % 17.13/17.31 (step-pop @p460 :rule scope :premises (@p459)) % 17.13/17.31 (step-pop @p461 :rule scope :premises (@p460)) % 17.13/17.31 (step-pop @p462 :rule scope :premises (@p461)) % 17.13/17.31 (step-pop @p463 :rule scope :premises (@p462)) % 17.13/17.31 (step @p246 :rule process_scope :premises (@p463) :args (false)) % 17.13/17.31 (assume-push @p464 @t167) % 17.13/17.31 (assume-push @p465 @t127) % 17.13/17.31 (assume-push @p466 @t129) % 17.13/17.31 (assume-push @p467 @t158) % 17.13/17.31 (assume-push @p468 @t164) % 17.13/17.31 (step @p257 :rule and_intro :premises (@p107 @p467 @p103 @p464 @p468)) % 17.13/17.31 (step-pop @p469 :rule scope :premises (@p257)) % 17.13/17.31 (step-pop @p470 :rule scope :premises (@p469)) % 17.13/17.31 (step-pop @p471 :rule scope :premises (@p470)) % 17.13/17.31 (step-pop @p472 :rule scope :premises (@p471)) % 17.13/17.31 (step-pop @p473 :rule scope :premises (@p472)) % 17.13/17.31 (step @p258 :rule process_scope :premises (@p473) :args (@t169)) % 17.13/17.31 (step @p264 :rule implies_elim :premises (@p258)) % 17.13/17.31 (step @p265 :rule resolution :premises (@p264 @p246) :args (true @t169)) % 17.13/17.31 (step @p266 :rule not_and :premises (@p265)) % 17.13/17.31 (step @p267 :rule eq_resolve :premises (@p266 @p233)) % 17.13/17.31 (step @p268 :rule eq-symm :args (@t162 @t124)) % 17.13/17.31 (step @p269 :rule refl :args (@t170)) % 17.13/17.31 (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t171)) % 17.13/17.31 (step @p271 :rule cong :premises (@p177 @p270) :args ((=> @t152 @t171))) % 17.13/17.31 (assume-push @p474 @t152) % 17.13/17.31 (step @p273 :rule instantiate :premises (@p173) :args ((@list @t96))) % 17.13/17.31 (step-pop @p475 :rule scope :premises (@p273)) % 17.13/17.31 (step @p274 :rule process_scope :premises (@p475) :args (@t171)) % 17.13/17.31 (step @p276 :rule eq_resolve :premises (@p274 @p271)) % 17.13/17.31 (step @p277 :rule implies_elim :premises (@p276)) % 17.13/17.31 (step @p278 :rule chain_m_resolution :premises (@p277 @p173) :args (@t172 @t128 @t155)) % 17.13/17.31 (step @p279 :rule cnf_or_pos :args (@t172)) % 17.13/17.31 (step @p280 :rule reordering :premises (@p279) :args ((or @t170 @t167 (not @t172)))) % 17.13/17.31 (step @p281 :rule refl :args (@t173)) % 17.13/17.31 (step @p282 :rule bool-double-not-elim :args (@t161)) % 17.13/17.31 (step @p283 :rule nary_cong :premises (@p282 @p281 @p118 @p117 @p231) :args ((or (not @t174) @t173 @t138 @t137 @t166))) % 17.13/17.31 (assume-push @p476 @t129) % 17.13/17.31 (assume-push @p477 @t127) % 17.13/17.31 (assume-push @p478 @t170) % 17.13/17.31 (assume-push @p479 @t158) % 17.13/17.31 (assume-push @p480 @t174) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p289 :rule trans :premises (@p478 @p103)) % 17.13/17.31 (step @p128 :rule refl :args (tptp.x)) % 17.13/17.31 (step @p290 :rule cong :premises (@p128 @p289) :args ((tptp.member tptp.x @t96))) % 17.13/17.31 (step @p291 :rule refl :args (@t96)) % 17.13/17.31 (step @p292 :rule cong :premises (@p479 @p291) :args (@t161)) % 17.13/17.31 (step @p293 :rule false_intro :premises (@p480)) % 17.13/17.31 (step @p294 :rule symm :premises (@p293)) % 17.13/17.31 (step @p295 :rule trans :premises (@p294 @p292 @p290 @p125)) % 17.13/17.31 (step @p296 false :rule eq_resolve :premises (@p295 @p124)) % 17.13/17.31 (step-pop @p481 :rule scope :premises (@p296)) % 17.13/17.31 (step-pop @p482 :rule scope :premises (@p481)) % 17.13/17.31 (step-pop @p483 :rule scope :premises (@p482)) % 17.13/17.31 (step-pop @p484 :rule scope :premises (@p483)) % 17.13/17.31 (step-pop @p485 :rule scope :premises (@p484)) % 17.13/17.31 (step @p297 :rule process_scope :premises (@p485) :args (false)) % 17.13/17.31 (assume-push @p486 @t174) % 17.13/17.31 (assume-push @p487 @t170) % 17.13/17.31 (assume-push @p488 @t127) % 17.13/17.31 (assume-push @p489 @t129) % 17.13/17.31 (assume-push @p490 @t158) % 17.13/17.31 (step @p308 :rule and_intro :premises (@p107 @p103 @p487 @p490 @p486)) % 17.13/17.31 (step-pop @p491 :rule scope :premises (@p308)) % 17.13/17.31 (step-pop @p492 :rule scope :premises (@p491)) % 17.13/17.31 (step-pop @p493 :rule scope :premises (@p492)) % 17.13/17.31 (step-pop @p494 :rule scope :premises (@p493)) % 17.13/17.31 (step-pop @p495 :rule scope :premises (@p494)) % 17.13/17.31 (step @p309 :rule process_scope :premises (@p495) :args (@t175)) % 17.13/17.31 (step @p315 :rule implies_elim :premises (@p309)) % 17.13/17.31 (step @p316 :rule resolution :premises (@p315 @p297) :args (true @t175)) % 17.13/17.31 (step @p317 :rule not_and :premises (@p316)) % 17.13/17.31 (step @p318 :rule eq_resolve :premises (@p317 @p283)) % 17.13/17.31 (step @p319 :rule chain_m_resolution :premises (@p318 @p225 @p107 @p103 @p280 @p278 @p267 @p225 @p107 @p103 @p229 @p227) :args (@t161 (@list false false false false false true false false false true false) (@list @t158 @t129 @t127 @t170 @t172 @t167 @t158 @t129 @t127 @t163 @t165))) % 17.13/17.31 (step @p320 :rule cnf_or_pos :args (@t178)) % 17.13/17.31 (step @p321 :rule reordering :premises (@p320) :args ((or @t177 @t174 (not @t178)))) % 17.13/17.31 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p226) :args (@t177 @t132 (@list @t161 @t178))) % 17.13/17.31 (step @p323 :rule eq-symm :args (@t180 @t124)) % 17.13/17.31 (step @p324 :rule refl :args (@t181)) % 17.13/17.31 (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t182)) % 17.13/17.31 (step @p326 :rule cong :premises (@p177 @p325) :args ((=> @t152 @t182))) % 17.13/17.31 (assume-push @p496 @t152) % 17.13/17.31 (step @p328 :rule instantiate :premises (@p173) :args ((@list tptp.element_relation))) % 17.13/17.31 (step-pop @p497 :rule scope :premises (@p328)) % 17.13/17.31 (step @p329 :rule process_scope :premises (@p497) :args (@t182)) % 17.13/17.31 (step @p331 :rule eq_resolve :premises (@p329 @p326)) % 17.13/17.31 (step @p332 :rule implies_elim :premises (@p331)) % 17.13/17.31 (step @p333 :rule chain_m_resolution :premises (@p332 @p173) :args (@t184 @t128 @t155)) % 17.13/17.31 (step @p334 :rule instantiate :premises (@p21) :args ((@list tptp.universal_class tptp.element_relation @t179))) % 17.13/17.31 (step @p335 :rule cnf_or_pos :args (@t187)) % 17.13/17.31 (step @p336 :rule reordering :premises (@p335) :args ((or @t176 @t186 (not @t187)))) % 17.13/17.31 (step @p337 :rule chain_m_resolution :premises (@p336 @p322 @p334) :args (@t186 @t188 (@list @t176 @t187))) % 17.13/17.31 (step @p338 :rule bool-double-not-elim :args (@t185)) % 17.13/17.31 (step @p339 :rule refl :args (@t189)) % 17.13/17.31 (step @p340 :rule nary_cong :premises (@p339 @p118 @p117 @p231 @p338) :args ((or @t189 @t138 @t137 @t166 (not @t186)))) % 17.13/17.31 (assume-push @p498 @t129) % 17.13/17.31 (assume-push @p499 @t158) % 17.13/17.31 (assume-push @p500 @t127) % 17.13/17.31 (assume-push @p501 @t183) % 17.13/17.31 (assume-push @p502 @t186) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p346 :rule symm :premises (@p501)) % 17.13/17.31 (step @p347 :rule trans :premises (@p346 @p103)) % 17.13/17.31 (step @p348 :rule cong :premises (@p499 @p347) :args (@t185)) % 17.13/17.31 (step @p349 :rule false_intro :premises (@p502)) % 17.13/17.31 (step @p350 :rule symm :premises (@p349)) % 17.13/17.31 (step @p351 :rule trans :premises (@p350 @p348 @p125)) % 17.13/17.31 (step @p352 false :rule eq_resolve :premises (@p351 @p124)) % 17.13/17.31 (step-pop @p503 :rule scope :premises (@p352)) % 17.13/17.31 (step-pop @p504 :rule scope :premises (@p503)) % 17.13/17.31 (step-pop @p505 :rule scope :premises (@p504)) % 17.13/17.31 (step-pop @p506 :rule scope :premises (@p505)) % 17.13/17.31 (step-pop @p507 :rule scope :premises (@p506)) % 17.13/17.31 (step @p353 :rule process_scope :premises (@p507) :args (false)) % 17.13/17.31 (assume-push @p508 @t183) % 17.13/17.31 (assume-push @p509 @t127) % 17.13/17.31 (assume-push @p510 @t129) % 17.13/17.31 (assume-push @p511 @t158) % 17.13/17.31 (assume-push @p512 @t186) % 17.13/17.31 (step @p364 :rule and_intro :premises (@p107 @p511 @p103 @p508 @p512)) % 17.13/17.31 (step-pop @p513 :rule scope :premises (@p364)) % 17.13/17.31 (step-pop @p514 :rule scope :premises (@p513)) % 17.13/17.31 (step-pop @p515 :rule scope :premises (@p514)) % 17.13/17.31 (step-pop @p516 :rule scope :premises (@p515)) % 17.13/17.31 (step-pop @p517 :rule scope :premises (@p516)) % 17.13/17.31 (step @p365 :rule process_scope :premises (@p517) :args (@t190)) % 17.13/17.31 (step @p371 :rule implies_elim :premises (@p365)) % 17.13/17.31 (step @p372 :rule resolution :premises (@p371 @p353) :args (true @t190)) % 17.13/17.31 (step @p373 :rule not_and :premises (@p372)) % 17.13/17.31 (step @p374 :rule eq_resolve :premises (@p373 @p340)) % 17.13/17.31 (step @p375 :rule chain_m_resolution :premises (@p374 @p103 @p107 @p225 @p337) :args (@t189 (@list false false false true) (@list @t127 @t129 @t158 @t185))) % 17.13/17.31 (step @p376 :rule cnf_or_pos :args (@t184)) % 17.13/17.31 (step @p377 :rule reordering :premises (@p376) :args ((or @t181 @t183 (not @t184)))) % 17.13/17.31 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p333) :args (@t181 @t188 (@list @t183 @t184))) % 17.13/17.31 (step @p379 :rule refl :args (@t191)) % 17.13/17.31 (step @p380 :rule bool-double-not-elim :args (@t176)) % 17.13/17.31 (step @p381 :rule nary_cong :premises (@p380 @p379 @p118 @p117 @p231) :args ((or (not @t177) @t191 @t138 @t137 @t166))) % 17.13/17.31 (assume-push @p518 @t129) % 17.13/17.31 (assume-push @p519 @t127) % 17.13/17.31 (assume-push @p520 @t181) % 17.13/17.31 (assume-push @p521 @t158) % 17.13/17.31 (assume-push @p522 @t177) % 17.13/17.31 (step @p124 :rule evaluate :args (@t140)) % 17.13/17.31 (step @p125 :rule true_intro :premises (@p107)) % 17.13/17.31 (step @p387 :rule trans :premises (@p520 @p103)) % 17.13/17.31 (step @p128 :rule refl :args (tptp.x)) % 17.13/17.31 (step @p388 :rule cong :premises (@p128 @p387) :args ((tptp.member tptp.x tptp.element_relation))) % 17.13/17.31 (step @p389 :rule refl :args (tptp.element_relation)) % 17.13/17.31 (step @p390 :rule cong :premises (@p521 @p389) :args (@t176)) % 17.13/17.31 (step @p391 :rule false_intro :premises (@p522)) % 17.13/17.31 (step @p392 :rule symm :premises (@p391)) % 17.13/17.31 (step @p393 :rule trans :premises (@p392 @p390 @p388 @p125)) % 17.13/17.31 (step @p394 false :rule eq_resolve :premises (@p393 @p124)) % 17.13/17.31 (step-pop @p523 :rule scope :premises (@p394)) % 17.13/17.31 (step-pop @p524 :rule scope :premises (@p523)) % 17.13/17.31 (step-pop @p525 :rule scope :premises (@p524)) % 17.13/17.31 (step-pop @p526 :rule scope :premises (@p525)) % 17.13/17.31 (step-pop @p527 :rule scope :premises (@p526)) % 17.13/17.31 (step @p395 :rule process_scope :premises (@p527) :args (false)) % 17.13/17.31 (assume-push @p528 @t177) % 17.13/17.31 (assume-push @p529 @t181) % 17.13/17.31 (assume-push @p530 @t127) % 17.13/17.31 (assume-push @p531 @t129) % 17.13/17.31 (assume-push @p532 @t158) % 17.13/17.31 (step @p406 :rule and_intro :premises (@p107 @p103 @p529 @p532 @p528)) % 17.13/17.31 (step-pop @p533 :rule scope :premises (@p406)) % 17.13/17.31 (step-pop @p534 :rule scope :premises (@p533)) % 17.13/17.31 (step-pop @p535 :rule scope :premises (@p534)) % 17.13/17.31 (step-pop @p536 :rule scope :premises (@p535)) % 17.13/17.31 (step-pop @p537 :rule scope :premises (@p536)) % 17.13/17.31 (step @p407 :rule process_scope :premises (@p537) :args (@t192)) % 17.13/17.31 (step @p413 :rule implies_elim :premises (@p407)) % 17.13/17.31 (step @p414 :rule resolution :premises (@p413 @p395) :args (true @t192)) % 17.13/17.31 (step @p415 :rule not_and :premises (@p414)) % 17.13/17.31 (step @p416 :rule eq_resolve :premises (@p415 @p381)) % 17.13/17.31 (step @p417 false :rule chain_m_resolution :premises (@p416 @p378 @p322 @p225 @p107 @p103) :args (false (@list false true false false false) (@list @t181 @t176 @t158 @t129 @t127))) % 17.13/17.31 ) % 17.13/17.31 % SZS output end Proof % 17.13/17.31 % cvc5 exiting %------------------------------------------------------------------------------