%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV522+1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:56:03 AM UTC 2026 % Result : Theorem 282.27s 282.54s % Output : Proof 282.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV522+1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n025.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 18:34:46 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 282.27/282.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 282.27/282.54 --- Run --no-e-matching --full-saturate-quant at 6... % 282.27/282.54 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 282.27/282.54 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 282.27/282.54 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 282.27/282.54 --- Run --trigger-sel=max --full-saturate-quant at 15... % 282.27/282.54 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 282.27/282.54 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 282.27/282.54 --- Run --prenex-quant=none --full-saturate-quant at 30... % 282.27/282.54 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 282.27/282.54 --- Run --relevant-triggers --full-saturate-quant at 30... % 282.27/282.54 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 282.27/282.54 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 282.27/282.54 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 282.27/282.54 --- Run --no-cbqi --full-saturate-quant at 9... % 282.27/282.54 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 282.27/282.54 % SZS status Theorem % 282.27/282.54 % SZS output start Proof % 282.27/282.54 ( % 282.27/282.54 (declare-sort $$unsorted 0) % 282.27/282.54 (declare-const tptp.unaryUnion (-> $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.non_overlapping (-> $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.empty_set $$unsorted) % 282.27/282.54 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.insertIntoMember (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 282.27/282.54 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 282.27/282.54 (define @t1 () (@var "B" $$unsorted)) % 282.27/282.54 (define @t2 () (@var "X" $$unsorted)) % 282.27/282.54 (define @t3 () (tptp.member @t2 @t1)) % 282.27/282.54 (define @t4 () (@var "A" $$unsorted)) % 282.27/282.54 (define @t5 () (tptp.member @t2 @t4)) % 282.27/282.54 (define @t6 () (@list @t2)) % 282.27/282.54 (define @t7 () (forall @t6 (=> @t5 @t3))) % 282.27/282.54 (define @t8 () (tptp.subset @t4 @t1)) % 282.27/282.54 (define @t9 () (= @t8 @t7)) % 282.27/282.54 (define @t10 () (@list @t4 @t1)) % 282.27/282.54 (define @t11 () (forall @t10 @t9)) % 282.27/282.54 (define @t12 () (@list @t2 @t4)) % 282.27/282.54 (define @t13 () (and @t5 @t3)) % 282.27/282.54 (define @t14 () (@list @t2 @t4 @t1)) % 282.27/282.54 (define @t15 () (@var "E" $$unsorted)) % 282.27/282.54 (define @t16 () (= @t2 @t4)) % 282.27/282.54 (define @t17 () (tptp.singleton @t4)) % 282.27/282.54 (define @t18 () (@var "Y" $$unsorted)) % 282.27/282.54 (define @t19 () (tptp.member @t2 @t18)) % 282.27/282.54 (define @t20 () (tptp.member @t18 @t4)) % 282.27/282.54 (define @t21 () (and @t20 @t19)) % 282.27/282.54 (define @t22 () (@list @t18)) % 282.27/282.54 (define @t23 () (exists @t22 @t21)) % 282.27/282.54 (define @t24 () (= @t2 @t18)) % 282.27/282.54 (define @t25 () (@var "Z" $$unsorted)) % 282.27/282.54 (define @t26 () (tptp.member @t25 @t18)) % 282.27/282.54 (define @t27 () (tptp.member @t25 @t2)) % 282.27/282.54 (define @t28 () (and @t27 @t26)) % 282.27/282.54 (define @t29 () (@list @t25)) % 282.27/282.54 (define @t30 () (exists @t29 @t28)) % 282.27/282.54 (define @t31 () (=> @t30 @t24)) % 282.27/282.54 (define @t32 () (and @t5 @t20)) % 282.27/282.54 (define @t33 () (=> @t32 @t31)) % 282.27/282.54 (define @t34 () (@list @t2 @t18)) % 282.27/282.54 (define @t35 () (forall @t34 @t33)) % 282.27/282.54 (define @t36 () (tptp.member @t2 @t15)) % 282.27/282.54 (define @t37 () (=> @t36 @t23)) % 282.27/282.54 (define @t38 () (forall @t6 @t37)) % 282.27/282.54 (define @t39 () (tptp.subset @t2 @t15)) % 282.27/282.54 (define @t40 () (forall @t6 (=> @t5 @t39))) % 282.27/282.54 (define @t41 () (and @t40 @t38 @t35)) % 282.27/282.54 (define @t42 () (tptp.partition @t4 @t15)) % 282.27/282.54 (define @t43 () (= @t42 @t41)) % 282.27/282.54 (define @t44 () (@list @t4 @t15)) % 282.27/282.54 (define @t45 () (forall @t44 @t43)) % 282.27/282.54 (define @t46 () (@var "R" $$unsorted)) % 282.27/282.54 (define @t47 () (tptp.apply @t46 @t2 @t18)) % 282.27/282.54 (define @t48 () (=> (and @t47 (tptp.apply @t46 @t18 @t25)) (tptp.apply @t46 @t2 @t25))) % 282.27/282.54 (define @t49 () (@list @t2 @t18 @t25)) % 282.27/282.54 (define @t50 () (tptp.apply @t46 @t2 @t2)) % 282.27/282.54 (define @t51 () (@var "U" $$unsorted)) % 282.27/282.54 (define @t52 () (tptp.partition @t2 @t51)) % 282.27/282.54 (define @t53 () (@list @t51)) % 282.27/282.54 (define @t54 () (exists @t53 @t52)) % 282.27/282.54 (define @t55 () (tptp.non_overlapping @t2)) % 282.27/282.54 (define @t56 () (= @t55 @t54)) % 282.27/282.54 (define @t57 () (forall @t6 @t56)) % 282.27/282.54 (define @t58 () (@var "C" $$unsorted)) % 282.27/282.54 (define @t59 () (@var "D" $$unsorted)) % 282.27/282.54 (define @t60 () (tptp.member @t59 @t4)) % 282.27/282.54 (define @t61 () (tptp.member @t58 @t59)) % 282.27/282.54 (define @t62 () (and @t61 @t60)) % 282.27/282.54 (define @t63 () (@list @t59)) % 282.27/282.54 (define @t64 () (exists @t63 @t62)) % 282.27/282.54 (define @t65 () (tptp.member @t58 @t1)) % 282.27/282.54 (define @t66 () (= @t65 @t64)) % 282.27/282.54 (define @t67 () (@list @t58)) % 282.27/282.54 (define @t68 () (forall @t67 @t66)) % 282.27/282.54 (define @t69 () (= @t1 (tptp.unaryUnion @t4))) % 282.27/282.54 (define @t70 () (= @t69 @t68)) % 282.27/282.54 (define @t71 () (forall @t10 @t70)) % 282.27/282.54 (define @t72 () (@var "P" $$unsorted)) % 282.27/282.54 (define @t73 () (tptp.non_overlapping @t72)) % 282.27/282.54 (define @t74 () (@var "Q" $$unsorted)) % 282.27/282.54 (define @t75 () (tptp.non_overlapping @t74)) % 282.27/282.54 (define @t76 () (tptp.subset @t72 @t74)) % 282.27/282.54 (define @t77 () (and @t76 @t75)) % 282.27/282.54 (define @t78 () (@list @t72 @t74)) % 282.27/282.54 (define @t79 () (forall @t78 (=> @t77 @t73))) % 282.27/282.54 (define @t80 () (not @t79)) % 282.27/282.54 (define @t81 () (@var "BOUND_VARIABLE_7976" $$unsorted)) % 282.27/282.54 (define @t82 () (not (tptp.member @t81 @t18))) % 282.27/282.54 (define @t83 () (not (tptp.member @t18 @t74))) % 282.27/282.54 (define @t84 () (not (forall @t22 (or @t83 @t82)))) % 282.27/282.54 (define @t85 () (@var "BOUND_VARIABLE_8150" $$unsorted)) % 282.27/282.54 (define @t86 () (@list @t81)) % 282.27/282.54 (define @t87 () (not (forall @t86 (or (not (tptp.member @t81 @t85)) @t84)))) % 282.27/282.54 (define @t88 () (@var "BOUND_VARIABLE_7862" $$unsorted)) % 282.27/282.54 (define @t89 () (@var "BOUND_VARIABLE_7988" $$unsorted)) % 282.27/282.54 (define @t90 () (not (tptp.member @t88 @t89))) % 282.27/282.54 (define @t91 () (not (tptp.member @t89 @t74))) % 282.27/282.54 (define @t92 () (@list @t89 @t88)) % 282.27/282.54 (define @t93 () (not (forall @t92 (or @t91 @t90 (tptp.member @t88 @t85))))) % 282.27/282.54 (define @t94 () (not (tptp.member @t18 @t72))) % 282.27/282.54 (define @t95 () (not (tptp.member @t81 @t51))) % 282.27/282.54 (define @t96 () (tptp.member @t88 @t51)) % 282.27/282.54 (define @t97 () (not (forall @t53 (or (not (forall @t92 (or (not (tptp.member @t89 @t72)) @t90 @t96))) (not (forall @t86 (or @t95 (not (forall @t22 (or @t94 @t82)))))))))) % 282.27/282.54 (define @t98 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 282.27/282.54 (define @t99 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 282.27/282.54 (define @t100 () (not (tptp.member @t99 @t98))) % 282.27/282.54 (define @t101 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 282.27/282.54 (define @t102 () (not (tptp.member @t99 @t101))) % 282.27/282.54 (define @t103 () (not (tptp.member @t98 @t72))) % 282.27/282.54 (define @t104 () (not (tptp.member @t101 @t72))) % 282.27/282.54 (define @t105 () (or @t104 @t103 (= @t98 @t101) @t102 @t100)) % 282.27/282.54 (define @t106 () (and @t105 @t97)) % 282.27/282.54 (define @t107 () (@var "BOUND_VARIABLE_7683" $$unsorted)) % 282.27/282.54 (define @t108 () (not (tptp.member @t107 @t18))) % 282.27/282.54 (define @t109 () (@var "BOUND_VARIABLE_7966" $$unsorted)) % 282.27/282.54 (define @t110 () (not (tptp.member @t107 @t109))) % 282.27/282.54 (define @t111 () (= @t18 @t109)) % 282.27/282.54 (define @t112 () (@list @t109 @t18 @t107)) % 282.27/282.54 (define @t113 () (forall @t112 (or (not (tptp.member @t109 @t74)) @t83 @t111 @t110 @t108))) % 282.27/282.54 (define @t114 () (not @t113)) % 282.27/282.54 (define @t115 () (forall @t6 (or (not (tptp.member @t2 @t72)) (tptp.member @t2 @t74)))) % 282.27/282.54 (define @t116 () (not @t115)) % 282.27/282.54 (define @t117 () (or @t116 @t114 @t106 @t93 @t87)) % 282.27/282.54 (define @t118 () (or @t93 @t87)) % 282.27/282.54 (define @t119 () (or @t116 @t114 @t118 @t106)) % 282.27/282.54 (define @t120 () (@list @t72 @t74 @t85 @t101 @t98 @t99)) % 282.27/282.54 (define @t121 () (forall @t120 @t119)) % 282.27/282.54 (define @t122 () (forall (@list @t85 @t101 @t98 @t99) @t119)) % 282.27/282.54 (define @t123 () (@list @t101 @t98 @t99)) % 282.27/282.54 (define @t124 () (forall @t123 @t97)) % 282.27/282.54 (define @t125 () (forall @t123 @t105)) % 282.27/282.54 (define @t126 () (and @t125 @t124)) % 282.27/282.54 (define @t127 () (forall @t123 @t106)) % 282.27/282.54 (define @t128 () (forall (@list @t85) @t118)) % 282.27/282.54 (define @t129 () (or @t116 @t114 @t128 @t127)) % 282.27/282.54 (define @t130 () (and (forall @t112 (or (not (tptp.member @t109 @t72)) @t94 @t111 @t110 @t108)) @t97)) % 282.27/282.54 (define @t131 () (forall @t53 (or (not (forall @t92 (or @t91 @t90 @t96))) (not (forall @t86 (or @t95 @t84)))))) % 282.27/282.54 (define @t132 () (or @t116 @t114 @t131 @t130)) % 282.27/282.54 (define @t133 () (not @t131)) % 282.27/282.54 (define @t134 () (and @t113 @t133)) % 282.27/282.54 (define @t135 () (or @t116 (not @t134) @t130)) % 282.27/282.54 (define @t136 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 282.27/282.54 (define @t137 () (not (tptp.member @t18 @t136))) % 282.27/282.54 (define @t138 () (lambda (@list @t136) (and (forall @t112 (or (not (tptp.member @t109 @t136)) @t137 @t111 @t110 @t108)) (not (forall @t53 (or (not (forall @t92 (or (not (tptp.member @t89 @t136)) @t90 @t96))) (not (forall @t86 (or @t95 (not (forall @t22 (or @t137 @t82)))))))))))) % 282.27/282.54 (define @t139 () (_ @t138 @t72)) % 282.27/282.54 (define @t140 () (_ @t138 @t74)) % 282.27/282.54 (define @t141 () (not @t140)) % 282.27/282.54 (define @t142 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 282.27/282.54 (define @t143 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 282.27/282.54 (define @t144 () (forall @t6 (or (not (tptp.member @t2 @t143)) (tptp.member @t2 @t142)))) % 282.27/282.54 (define @t145 () (@list @t143 @t142)) % 282.27/282.54 (define @t146 () (lambda @t145 @t144)) % 282.27/282.54 (define @t147 () (_ @t146 @t72 @t74)) % 282.27/282.54 (define @t148 () (not @t147)) % 282.27/282.54 (define @t149 () (or @t148 @t141 @t139)) % 282.27/282.54 (define @t150 () (forall @t78 @t149)) % 282.27/282.54 (define @t151 () (not (tptp.member @t18 @t2))) % 282.27/282.54 (define @t152 () (forall @t86 (or @t95 (not (forall @t22 (or @t151 @t82)))))) % 282.27/282.54 (define @t153 () (not @t152)) % 282.27/282.54 (define @t154 () (forall @t92 (or (not (tptp.member @t89 @t2)) @t90 @t96))) % 282.27/282.54 (define @t155 () (not @t154)) % 282.27/282.54 (define @t156 () (or @t155 @t153)) % 282.27/282.54 (define @t157 () (forall @t53 @t156)) % 282.27/282.54 (define @t158 () (not @t157)) % 282.27/282.54 (define @t159 () (not (tptp.member @t109 @t2))) % 282.27/282.54 (define @t160 () (forall @t112 (or @t159 @t151 @t111 @t110 @t108))) % 282.27/282.54 (define @t161 () (not @t160)) % 282.27/282.54 (define @t162 () (or @t161 @t157)) % 282.27/282.54 (define @t163 () (= @t55 (not @t162))) % 282.27/282.54 (define @t164 () (or @t161 @t156)) % 282.27/282.54 (define @t165 () (or @t155 @t153 @t161)) % 282.27/282.54 (define @t166 () (= @t109 @t18)) % 282.27/282.54 (define @t167 () (or @t159 @t151 @t166 @t110 @t108)) % 282.27/282.54 (define @t168 () (forall @t112 @t167)) % 282.27/282.54 (define @t169 () (and @t154 @t152 @t168)) % 282.27/282.54 (define @t170 () (@var "BOUND_VARIABLE_7876" $$unsorted)) % 282.27/282.54 (define @t171 () (not (tptp.member @t18 @t170))) % 282.27/282.54 (define @t172 () (@var "BOUND_VARIABLE_7877" $$unsorted)) % 282.27/282.54 (define @t173 () (tptp.member @t88 @t172)) % 282.27/282.54 (define @t174 () (@list @t170 @t172)) % 282.27/282.54 (define @t175 () (not (tptp.member @t107 @t2))) % 282.27/282.54 (define @t176 () (not (tptp.member @t2 @t170))) % 282.27/282.54 (define @t177 () (@list @t2 @t18 @t107)) % 282.27/282.54 (define @t178 () (forall @t177 (or @t176 @t171 @t24 @t175 @t108))) % 282.27/282.54 (define @t179 () (@list @t2)) % 282.27/282.54 (define @t180 () (not @t19)) % 282.27/282.54 (define @t181 () (forall @t6 (or (not (tptp.member @t2 @t172)) (not (forall @t22 (or @t171 @t180)))))) % 282.27/282.54 (define @t182 () (not (tptp.member @t88 @t2))) % 282.27/282.54 (define @t183 () (@list @t2 @t88)) % 282.27/282.54 (define @t184 () (forall @t183 (or @t176 @t182 @t173))) % 282.27/282.54 (define @t185 () (and @t184 @t181 @t178)) % 282.27/282.54 (define @t186 () (lambda @t174 @t185)) % 282.27/282.54 (define @t187 () (not (_ @t186 @t2 @t51))) % 282.27/282.54 (define @t188 () (forall @t53 @t187)) % 282.27/282.54 (define @t189 () (not @t188)) % 282.27/282.54 (define @t190 () (= @t55 @t189)) % 282.27/282.54 (define @t191 () (not @t20)) % 282.27/282.54 (define @t192 () (not @t5)) % 282.27/282.54 (define @t193 () (or @t192 @t191 @t24 @t175 @t108)) % 282.27/282.54 (define @t194 () (forall @t177 @t193)) % 282.27/282.54 (define @t195 () (not (forall @t22 (or @t191 @t180)))) % 282.27/282.54 (define @t196 () (forall @t6 (or (not @t36) @t195))) % 282.27/282.54 (define @t197 () (tptp.member @t88 @t15)) % 282.27/282.54 (define @t198 () (or @t192 @t182 @t197)) % 282.27/282.54 (define @t199 () (or @t182 @t197)) % 282.27/282.54 (define @t200 () (or @t192 @t199)) % 282.27/282.54 (define @t201 () (forall @t183 @t200)) % 282.27/282.54 (define @t202 () (@list @t88)) % 282.27/282.54 (define @t203 () (forall @t202 @t200)) % 282.27/282.54 (define @t204 () (forall @t202 @t199)) % 282.27/282.54 (define @t205 () (@var "BOUND_VARIABLE_7845" $$unsorted)) % 282.27/282.54 (define @t206 () (@list @t205)) % 282.27/282.54 (define @t207 () (or @t192 @t204)) % 282.27/282.54 (define @t208 () (@list @t205)) % 282.27/282.54 (define @t209 () (forall @t208 (or (not (tptp.member @t205 @t2)) (tptp.member @t205 @t15)))) % 282.27/282.54 (define @t210 () (or @t192 (_ @t146 @t2 @t15))) % 282.27/282.54 (define @t211 () (forall @t6 @t210)) % 282.27/282.54 (define @t212 () (and @t211 @t196 @t194)) % 282.27/282.54 (define @t213 () (= @t42 @t212)) % 282.27/282.54 (define @t214 () (or @t192 @t39)) % 282.27/282.54 (define @t215 () (forall @t6 @t214)) % 282.27/282.54 (define @t216 () (and @t215 @t196 @t194)) % 282.27/282.54 (define @t217 () (= @t42 @t216)) % 282.27/282.54 (define @t218 () (or @t175 @t108)) % 282.27/282.54 (define @t219 () (or @t192 @t191 @t218 @t24)) % 282.27/282.54 (define @t220 () (forall @t177 @t219)) % 282.27/282.54 (define @t221 () (@list @t107)) % 282.27/282.54 (define @t222 () (forall @t221 @t219)) % 282.27/282.54 (define @t223 () (forall @t221 @t218)) % 282.27/282.54 (define @t224 () (or @t192 @t191 @t223 @t24)) % 282.27/282.54 (define @t225 () (forall @t29 (or (not @t27) (not @t26)))) % 282.27/282.54 (define @t226 () (or @t192 @t191 @t225 @t24)) % 282.27/282.54 (define @t227 () (not @t225)) % 282.27/282.54 (define @t228 () (=> @t227 @t24)) % 282.27/282.54 (define @t229 () (forall @t29 (not @t28))) % 282.27/282.54 (define @t230 () (not @t229)) % 282.27/282.54 (define @t231 () (forall @t22 (not @t21))) % 282.27/282.54 (define @t232 () (not @t231)) % 282.27/282.54 (define @t233 () (not @t52)) % 282.27/282.54 (define @t234 () (forall @t53 @t233)) % 282.27/282.54 (define @t235 () (not @t234)) % 282.27/282.54 (define @t236 () (= @t55 @t235)) % 282.27/282.54 (define @t237 () (not @t75)) % 282.27/282.54 (define @t238 () (not @t76)) % 282.27/282.54 (define @t239 () (or @t238 @t237 @t73)) % 282.27/282.54 (define @t240 () (forall @t78 @t239)) % 282.27/282.54 (define @t241 () (forall @t120 (or @t116 @t114 (and (or @t104 @t103 (= @t101 @t98) @t102 @t100) @t97) @t93 @t87))) % 282.27/282.54 (define @t242 () (@quantifiers_skolemize @t241 1)) % 282.27/282.54 (define @t243 () (@quantifiers_skolemize @t241 0)) % 282.27/282.54 (define @t244 () (forall @t6 (or (not (tptp.member @t2 @t243)) (tptp.member @t2 @t242)))) % 282.27/282.54 (define @t245 () (not (tptp.member @t18 @t242))) % 282.27/282.54 (define @t246 () (@quantifiers_skolemize @t241 2)) % 282.27/282.54 (define @t247 () (not (tptp.member @t18 @t243))) % 282.27/282.54 (define @t248 () (not (forall @t22 (or @t247 @t82)))) % 282.27/282.54 (define @t249 () (not (tptp.member @t89 @t243))) % 282.27/282.54 (define @t250 () (forall @t53 (or (not (forall @t92 (or @t249 @t90 @t96))) (not (forall @t86 (or @t95 @t248)))))) % 282.27/282.54 (define @t251 () (not @t250)) % 282.27/282.54 (define @t252 () (@quantifiers_skolemize @t241 4)) % 282.27/282.54 (define @t253 () (@quantifiers_skolemize @t241 5)) % 282.27/282.54 (define @t254 () (tptp.member @t253 @t252)) % 282.27/282.54 (define @t255 () (not @t254)) % 282.27/282.54 (define @t256 () (@quantifiers_skolemize @t241 3)) % 282.27/282.54 (define @t257 () (tptp.member @t253 @t256)) % 282.27/282.54 (define @t258 () (not @t257)) % 282.27/282.54 (define @t259 () (= @t256 @t252)) % 282.27/282.54 (define @t260 () (tptp.member @t252 @t243)) % 282.27/282.54 (define @t261 () (not @t260)) % 282.27/282.54 (define @t262 () (tptp.member @t256 @t243)) % 282.27/282.54 (define @t263 () (not @t262)) % 282.27/282.54 (define @t264 () (or @t263 @t261 @t259 @t258 @t255)) % 282.27/282.54 (define @t265 () (and @t264 @t251)) % 282.27/282.54 (define @t266 () (forall @t112 (or (not (tptp.member @t109 @t242)) @t245 @t111 @t110 @t108))) % 282.27/282.54 (define @t267 () (not @t266)) % 282.27/282.54 (define @t268 () (not @t244)) % 282.27/282.54 (define @t269 () (or @t268 @t267 @t265 (not (forall @t92 (or (not (tptp.member @t89 @t242)) @t90 (tptp.member @t88 @t246)))) (not (forall @t86 (or (not (tptp.member @t81 @t246)) (not (forall @t22 (or @t245 @t82)))))))) % 282.27/282.54 (define @t270 () (@list true)) % 282.27/282.54 (define @t271 () (@list @t269)) % 282.27/282.54 (define @t272 () (tptp.unaryUnion @t243)) % 282.27/282.54 (define @t273 () (forall @t86 (or (not (tptp.member @t81 @t272)) @t248))) % 282.27/282.54 (define @t274 () (@quantifiers_skolemize @t273 0)) % 282.27/282.54 (define @t275 () (tptp.member @t274 @t272)) % 282.27/282.54 (define @t276 () (forall @t22 (or @t247 (not (tptp.member @t274 @t18))))) % 282.27/282.54 (define @t277 () (not @t276)) % 282.27/282.54 (define @t278 () (not @t275)) % 282.27/282.54 (define @t279 () (or @t278 @t277)) % 282.27/282.54 (define @t280 () (forall @t63 (not @t62))) % 282.27/282.54 (define @t281 () (not @t280)) % 282.27/282.54 (define @t282 () (tptp.member @t58 @t272)) % 282.27/282.54 (define @t283 () (not (tptp.member @t59 @t243))) % 282.27/282.54 (define @t284 () (not @t61)) % 282.27/282.54 (define @t285 () (not (forall @t63 (or @t284 @t283)))) % 282.27/282.54 (define @t286 () (forall @t67 (= @t285 @t282))) % 282.27/282.54 (define @t287 () (forall @t67 (= @t282 @t285))) % 282.27/282.54 (define @t288 () (= (= @t272 @t272) @t287)) % 282.27/282.54 (define @t289 () (forall @t10 (= @t69 (forall @t67 (= @t65 (not (forall @t63 (or @t284 (not @t60))))))))) % 282.27/282.54 (define @t290 () (@list false)) % 282.27/282.54 (define @t291 () (not (tptp.member @t274 @t59))) % 282.27/282.54 (define @t292 () (or @t291 @t283)) % 282.27/282.54 (define @t293 () (forall @t63 @t292)) % 282.27/282.54 (define @t294 () (not @t293)) % 282.27/282.54 (define @t295 () (= @t294 @t275)) % 282.27/282.54 (define @t296 () (= @t275 @t294)) % 282.27/282.54 (define @t297 () (@list @t286)) % 282.27/282.54 (define @t298 () (or @t283 @t291)) % 282.27/282.54 (define @t299 () (forall @t63 @t298)) % 282.27/282.54 (define @t300 () (not @t279)) % 282.27/282.54 (define @t301 () (not @t273)) % 282.27/282.54 (define @t302 () (forall @t92 (or @t249 @t90 (tptp.member @t88 @t272)))) % 282.27/282.54 (define @t303 () (@quantifiers_skolemize @t302 0)) % 282.27/282.54 (define @t304 () (tptp.member @t303 @t243)) % 282.27/282.54 (define @t305 () (@quantifiers_skolemize @t302 1)) % 282.27/282.54 (define @t306 () (tptp.member @t305 @t272)) % 282.27/282.54 (define @t307 () (tptp.member @t305 @t303)) % 282.27/282.54 (define @t308 () (not @t307)) % 282.27/282.54 (define @t309 () (not @t304)) % 282.27/282.54 (define @t310 () (or @t309 @t308 @t306)) % 282.27/282.54 (define @t311 () (forall @t63 (or (not (tptp.member @t305 @t59)) @t283))) % 282.27/282.54 (define @t312 () (not @t311)) % 282.27/282.54 (define @t313 () (= @t312 @t306)) % 282.27/282.54 (define @t314 () (= @t306 @t312)) % 282.27/282.54 (define @t315 () (not @t314)) % 282.27/282.54 (define @t316 () (or @t308 @t309)) % 282.27/282.54 (define @t317 () (not @t310)) % 282.27/282.54 (define @t318 () (not @t302)) % 282.27/282.54 (define @t319 () (or @t318 @t301)) % 282.27/282.54 (define @t320 () (not @t319)) % 282.27/282.54 (define @t321 () (@list false false)) % 282.27/282.54 (define @t322 () (not @t264)) % 282.27/282.54 (define @t323 () (@list @t264)) % 282.27/282.54 (define @t324 () (tptp.member @t256 @t242)) % 282.27/282.54 (define @t325 () (or @t263 @t324)) % 282.27/282.54 (define @t326 () (tptp.member @t252 @t242)) % 282.27/282.54 (define @t327 () (or @t261 @t326)) % 282.27/282.54 (define @t328 () (not @t326)) % 282.27/282.54 (define @t329 () (not @t324)) % 282.27/282.54 (define @t330 () (or @t329 @t328 (= @t252 @t256) @t258 @t255)) % 282.27/282.54 (define @t331 () (or @t329 @t328 @t259 @t258 @t255)) % 282.27/282.54 (assume @p1 @t11) % 282.27/282.54 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 282.27/282.54 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 282.27/282.54 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 282.27/282.54 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 282.27/282.54 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 282.27/282.54 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 282.27/282.54 (assume @p8 (forall @t12 (= (tptp.member @t2 @t17) @t16))) % 282.27/282.54 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 282.27/282.54 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t23))) % 282.27/282.54 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t20 @t19))))) % 282.27/282.54 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 282.27/282.54 (assume @p13 @t45) % 282.27/282.54 (assume @p14 (forall (@list @t4 @t46) (= (tptp.equivalence @t46 @t4) (and (forall @t6 (=> @t5 @t50)) (forall @t34 (=> @t32 (=> @t47 (tptp.apply @t46 @t18 @t2)))) (forall @t49 (=> (and @t5 @t20 (tptp.member @t25 @t4)) @t48)))))) % 282.27/282.54 (assume @p15 (forall (@list @t46 @t15 @t4 @t2) (= (tptp.member @t2 (tptp.equivalence_class @t4 @t15 @t46)) (and @t36 (tptp.apply @t46 @t4 @t2))))) % 282.27/282.54 (assume @p16 (forall (@list @t46 @t15) (= (tptp.pre_order @t46 @t15) (and (forall @t6 (=> @t36 @t50)) (forall @t49 (=> (and @t36 (tptp.member @t18 @t15) (tptp.member @t25 @t15)) @t48)))))) % 282.27/282.54 (assume @p17 @t57) % 282.27/282.54 (assume @p18 (forall (@list @t4 @t1 @t58) (= (tptp.insertIntoMember @t4 @t1 @t58) (tptp.union (tptp.union @t1 @t17) (tptp.difference @t58 (tptp.singleton @t1)))))) % 282.27/282.54 (assume @p19 @t71) % 282.27/282.54 (assume @p20 @t80) % 282.27/282.54 (assume @p21 true) % 282.27/282.54 (step @p22 :rule refl :args (@t87)) % 282.27/282.54 (step @p23 :rule refl :args (@t93)) % 282.27/282.54 (step @p24 :rule refl :args (@t97)) % 282.27/282.54 (step @p25 :rule refl :args (@t100)) % 282.27/282.54 (step @p26 :rule refl :args (@t102)) % 282.27/282.54 (step @p27 :rule eq-symm :args (@t98 @t101)) % 282.27/282.54 (step @p28 :rule refl :args (@t103)) % 282.27/282.54 (step @p29 :rule refl :args (@t104)) % 282.27/282.54 (step @p30 :rule nary_cong :premises (@p29 @p28 @p27 @p26 @p25) :args (@t105)) % 282.27/282.54 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t106)) % 282.27/282.54 (step @p32 :rule refl :args (@t114)) % 282.27/282.54 (step @p33 :rule refl :args (@t116)) % 282.27/282.54 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31 @p23 @p22) :args (@t117)) % 282.27/282.54 (step @p35 :rule aci_norm :args ((= @t119 @t117))) % 282.27/282.54 (step @p36 :rule trans :premises (@p35 @p34)) % 282.27/282.54 (step @p37 :rule cong :premises (@p36) :args (@t121)) % 282.27/282.54 (step @p38 :rule quant-merge-prenex :args ((= (forall @t78 @t122) @t121))) % 282.27/282.54 (step @p39 :rule quant-unused-vars :args ((= @t124 @t97))) % 282.27/282.54 (step @p40 :rule alpha_equiv :args (@t125 (@list @t101 @t98 @t99) (@list @t109 @t18 @t107))) % 282.27/282.54 (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t126)) % 282.27/282.54 (step @p42 :rule quant-miniscope-and :args ((= @t127 @t126))) % 282.27/282.54 (step @p43 :rule trans :premises (@p42 @p41)) % 282.27/282.54 (step @p44 :rule alpha_equiv :args (@t128 (@list @t85) (@list @t51))) % 282.27/282.54 (step @p45 :rule refl :args (@t114)) % 282.27/282.54 (step @p46 :rule refl :args (@t116)) % 282.27/282.54 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43) :args (@t129)) % 282.27/282.54 (step @p48 :rule quant-miniscope-or :args ((= @t122 @t129))) % 282.27/282.54 (step @p49 :rule trans :premises (@p48 @p47)) % 282.27/282.54 (step @p50 :rule symm :premises (@p49)) % 282.27/282.54 (step @p51 :rule cong :premises (@p50) :args ((forall @t78 @t132))) % 282.27/282.54 (step @p52 :rule trans :premises (@p51 @p38)) % 282.27/282.54 (step @p53 :rule trans :premises (@p52 @p37)) % 282.27/282.54 (step @p54 :rule aci_norm :args ((= (or @t116 (or @t114 @t131) @t130) @t132))) % 282.27/282.54 (step @p55 :rule refl :args (@t130)) % 282.27/282.54 (step @p56 :rule bool-double-not-elim :args (@t131)) % 282.27/282.54 (step @p57 :rule nary_cong :premises (@p45 @p56) :args ((or @t114 (not @t133)))) % 282.27/282.54 (step @p58 :rule bool-and-de-morgan :args (@t113 @t133 true)) % 282.27/282.54 (step @p59 :rule trans :premises (@p58 @p57)) % 282.27/282.54 (step @p60 :rule nary_cong :premises (@p46 @p59 @p55) :args (@t135)) % 282.27/282.54 (step @p61 :rule trans :premises (@p60 @p54)) % 282.27/282.54 (step @p62 :rule cong :premises (@p61) :args ((forall @t78 @t135))) % 282.27/282.54 (step @p63 :rule trans :premises (@p62 @p53)) % 282.27/282.54 (step @p64 :rule beta-reduce :args ((= @t139 @t130))) % 282.27/282.54 (step @p65 :rule beta-reduce :args ((= @t140 @t134))) % 282.27/282.54 (step @p66 :rule cong :premises (@p65) :args (@t141)) % 282.27/282.54 (step @p67 :rule beta-reduce :args ((= @t147 @t115))) % 282.27/282.54 (step @p68 :rule cong :premises (@p67) :args (@t148)) % 282.27/282.54 (step @p69 :rule nary_cong :premises (@p68 @p66 @p64) :args (@t149)) % 282.27/282.54 (step @p70 :rule cong :premises (@p69) :args (@t150)) % 282.27/282.54 (step @p71 :rule trans :premises (@p70 @p63)) % 282.27/282.54 (step @p72 :rule cong :premises (@p71) :args ((not @t150))) % 282.27/282.54 (step @p73 :rule refl :args (@t72)) % 282.27/282.54 ; WARNING: add trust step for TRUST % 282.27/282.54 ; trust TRUST SUBS_EQ % 282.27/282.54 (step @p74 :rule trust :premises () :args ((= (forall @t6 (= @t55 (and @t160 @t158))) (= tptp.non_overlapping @t138)))) % 282.27/282.54 (step @p75 :rule refl :args (@t158)) % 282.27/282.54 (step @p76 :rule bool-double-not-elim :args (@t160)) % 282.27/282.54 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((and (not @t161) @t158))) % 282.27/282.54 (step @p78 :rule bool-or-de-morgan :args (@t161 @t157 false)) % 282.27/282.54 (step @p79 :rule trans :premises (@p78 @p77)) % 282.27/282.54 (step @p80 :rule refl :args (@t55)) % 282.27/282.54 (step @p81 :rule cong :premises (@p80 @p79) :args (@t163)) % 282.27/282.54 (step @p82 :rule cong :premises (@p81) :args ((forall @t6 @t163))) % 282.27/282.54 (step @p83 :rule quant-miniscope-or :args ((= (forall @t53 @t164) @t162))) % 282.27/282.54 (step @p84 :rule aci_norm :args ((= @t165 @t164))) % 282.27/282.54 (step @p85 :rule cong :premises (@p84) :args ((forall @t53 @t165))) % 282.27/282.54 (step @p86 :rule trans :premises (@p85 @p83)) % 282.27/282.54 (step @p87 :rule aci_norm :args ((= (or @t155 (or @t153 @t161)) @t165))) % 282.27/282.54 (step @p88 :rule bool-and-de-morgan :args (@t152 @t160 true)) % 282.27/282.54 (step @p89 :rule refl :args (@t155)) % 282.27/282.54 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t155 (not (and @t152 @t160))))) % 282.27/282.54 (step @p91 :rule bool-and-de-morgan :args (@t154 @t152 (and @t160))) % 282.27/282.54 (step @p92 :rule trans :premises (@p91 @p90)) % 282.27/282.54 (step @p93 :rule trans :premises (@p92 @p87)) % 282.27/282.54 (step @p94 :rule cong :premises (@p93) :args ((forall @t53 (not (and @t154 @t152 @t160))))) % 282.27/282.54 (step @p95 :rule trans :premises (@p94 @p86)) % 282.27/282.54 (step @p96 :rule refl :args (@t108)) % 282.27/282.54 (step @p97 :rule refl :args (@t110)) % 282.27/282.54 (step @p98 :rule eq-symm :args (@t109 @t18)) % 282.27/282.54 (step @p99 :rule refl :args (@t151)) % 282.27/282.54 (step @p100 :rule refl :args (@t159)) % 282.27/282.54 (step @p101 :rule nary_cong :premises (@p100 @p99 @p98 @p97 @p96) :args (@t167)) % 282.27/282.54 (step @p102 :rule cong :premises (@p101) :args (@t168)) % 282.27/282.54 (step @p103 :rule refl :args (@t152)) % 282.27/282.54 (step @p104 :rule refl :args (@t154)) % 282.27/282.54 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t169)) % 282.27/282.54 (step @p106 :rule beta-reduce :args ((= (_ (lambda @t174 (and (forall @t92 (or (not (tptp.member @t89 @t170)) @t90 @t173)) (forall @t86 (or (not (tptp.member @t81 @t172)) (not (forall @t22 (or @t171 @t82))))) (forall @t112 (or (not (tptp.member @t109 @t170)) @t171 @t166 @t110 @t108)))) @t2 @t51) @t169))) % 282.27/282.54 (step @p107 :rule trans :premises (@p106 @p105)) % 282.27/282.54 (step @p108 :rule refl :args (@t51)) % 282.27/282.54 (step @p109 :rule refl :args (@t2)) % 282.27/282.54 (step @p110 :rule alpha_equiv :args (@t178 @t179 (@list @t109))) % 282.27/282.54 (step @p111 :rule alpha_equiv :args (@t181 @t179 (@list @t81))) % 282.27/282.54 (step @p112 :rule alpha_equiv :args (@t184 @t179 (@list @t89))) % 282.27/282.54 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t185)) % 282.27/282.54 (step @p114 :rule cong :premises (@p113) :args (@t186)) % 282.27/282.54 (step @p115 :rule ho_cong :premises (@p114 @p109 @p108)) % 282.27/282.54 (step @p116 :rule trans :premises (@p115 @p107)) % 282.27/282.54 (step @p117 :rule cong :premises (@p116) :args (@t187)) % 282.27/282.54 (step @p118 :rule cong :premises (@p117) :args (@t188)) % 282.27/282.54 (step @p119 :rule trans :premises (@p118 @p95)) % 282.27/282.54 (step @p120 :rule cong :premises (@p119) :args (@t189)) % 282.27/282.54 (step @p121 :rule refl :args (@t55)) % 282.27/282.54 (step @p122 :rule cong :premises (@p121 @p120) :args (@t190)) % 282.27/282.54 (step @p123 :rule cong :premises (@p122) :args ((forall @t6 @t190))) % 282.27/282.54 (step @p124 :rule trans :premises (@p123 @p82)) % 282.27/282.54 (step @p125 :rule refl :args (@t51)) % 282.27/282.54 (step @p126 :rule refl :args (@t2)) % 282.27/282.54 ; trust TRUST SUBS_EQ % 282.27/282.54 (step @p127 :rule trust :premises () :args ((= (forall @t44 (= @t42 (and (forall @t183 @t198) @t196 @t194))) (= tptp.partition @t186)))) % 282.27/282.54 (step @p128 :rule refl :args (@t194)) % 282.27/282.54 (step @p129 :rule refl :args (@t196)) % 282.27/282.54 (step @p130 :rule aci_norm :args ((= @t200 @t198))) % 282.27/282.54 (step @p131 :rule cong :premises (@p130) :args (@t201)) % 282.27/282.54 (step @p132 :rule quant-merge-prenex :args ((= (forall @t6 @t203) @t201))) % 282.27/282.54 (step @p133 :rule alpha_equiv :args (@t204 (@list @t88) @t206)) % 282.27/282.54 (step @p134 :rule refl :args (@t192)) % 282.27/282.54 (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t207)) % 282.27/282.54 (step @p136 :rule quant-miniscope-or :args ((= @t203 @t207))) % 282.27/282.54 (step @p137 :rule trans :premises (@p136 @p135)) % 282.27/282.54 (step @p138 :rule symm :premises (@p137)) % 282.27/282.54 (step @p139 :rule cong :premises (@p138) :args ((forall @t6 (or @t192 @t209)))) % 282.27/282.54 (step @p140 :rule trans :premises (@p139 @p132)) % 282.27/282.54 (step @p141 :rule trans :premises (@p140 @p131)) % 282.27/282.54 (step @p142 :rule beta-reduce :args ((= (_ (lambda @t145 (forall @t208 (or (not (tptp.member @t205 @t143)) (tptp.member @t205 @t142)))) @t2 @t15) @t209))) % 282.27/282.54 (step @p143 :rule refl :args (@t15)) % 282.27/282.54 (step @p144 :rule alpha_equiv :args (@t144 @t179 @t206)) % 282.27/282.54 (step @p145 :rule cong :premises (@p144) :args (@t146)) % 282.27/282.54 (step @p146 :rule ho_cong :premises (@p145 @p109 @p143)) % 282.27/282.54 (step @p147 :rule trans :premises (@p146 @p142)) % 282.27/282.54 (step @p148 :rule refl :args (@t192)) % 282.27/282.54 (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t210)) % 282.27/282.54 (step @p150 :rule cong :premises (@p149) :args (@t211)) % 282.27/282.54 (step @p151 :rule trans :premises (@p150 @p141)) % 282.27/282.54 (step @p152 :rule nary_cong :premises (@p151 @p129 @p128) :args (@t212)) % 282.27/282.54 (step @p153 :rule refl :args (@t42)) % 282.27/282.54 (step @p154 :rule cong :premises (@p153 @p152) :args (@t213)) % 282.27/282.54 (step @p155 :rule cong :premises (@p154) :args ((forall @t44 @t213))) % 282.27/282.54 (step @p156 :rule refl :args (@t15)) % 282.27/282.54 ; trust TRUST SUBS_EQ % 282.27/282.54 (step @p157 :rule trust :premises () :args ((= (forall @t10 (= @t8 (forall @t6 (or @t192 @t3)))) (= tptp.subset @t146)))) % 282.27/282.54 (step @p158 :rule bool-impl-elim :args (@t5 @t3)) % 282.27/282.54 (step @p159 :rule cong :premises (@p158) :args (@t7)) % 282.27/282.54 (step @p160 :rule refl :args (@t8)) % 282.27/282.54 (step @p161 :rule cong :premises (@p160 @p159) :args (@t9)) % 282.27/282.54 (step @p162 :rule cong :premises (@p161) :args (@t11)) % 282.27/282.54 (step @p163 :rule eq_resolve :premises (@p1 @p162)) % 282.27/282.54 (step @p164 :rule eq_resolve :premises (@p163 @p157)) % 282.27/282.54 (step @p165 :rule ho_cong :premises (@p164 @p126 @p156)) % 282.27/282.54 (step @p166 :rule nary_cong :premises (@p148 @p165) :args (@t214)) % 282.27/282.54 (step @p167 :rule cong :premises (@p166) :args (@t215)) % 282.27/282.54 (step @p168 :rule nary_cong :premises (@p167 @p129 @p128) :args (@t216)) % 282.27/282.54 (step @p169 :rule cong :premises (@p153 @p168) :args (@t217)) % 282.27/282.54 (step @p170 :rule cong :premises (@p169) :args ((forall @t44 @t217))) % 282.27/282.54 (step @p171 :rule trans :premises (@p170 @p155)) % 282.27/282.54 (step @p172 :rule aci_norm :args ((= @t219 @t193))) % 282.27/282.54 (step @p173 :rule cong :premises (@p172) :args (@t220)) % 282.27/282.54 (step @p174 :rule quant-merge-prenex :args ((= (forall @t34 @t222) @t220))) % 282.27/282.54 (step @p175 :rule refl :args (@t24)) % 282.27/282.54 (step @p176 :rule alpha_equiv :args (@t223 (@list @t107) (@list @t25))) % 282.27/282.54 (step @p177 :rule refl :args (@t191)) % 282.27/282.54 (step @p178 :rule nary_cong :premises (@p134 @p177 @p176 @p175) :args (@t224)) % 282.27/282.54 (step @p179 :rule quant-miniscope-or :args ((= @t222 @t224))) % 282.27/282.54 (step @p180 :rule trans :premises (@p179 @p178)) % 282.27/282.54 (step @p181 :rule symm :premises (@p180)) % 282.27/282.54 (step @p182 :rule cong :premises (@p181) :args ((forall @t34 @t226))) % 282.27/282.54 (step @p183 :rule trans :premises (@p182 @p174)) % 282.27/282.54 (step @p184 :rule trans :premises (@p183 @p173)) % 282.27/282.54 (step @p185 :rule aci_norm :args ((= (or (or @t192 @t191) (or @t225 @t24)) @t226))) % 282.27/282.54 (step @p186 :rule bool-double-not-elim :args (@t225)) % 282.27/282.54 (step @p187 :rule nary_cong :premises (@p186 @p175) :args ((or (not @t227) @t24))) % 282.27/282.54 (step @p188 :rule bool-impl-elim :args (@t227 @t24)) % 282.27/282.54 (step @p189 :rule trans :premises (@p188 @p187)) % 282.27/282.54 (step @p190 :rule bool-and-de-morgan :args (@t5 @t20 true)) % 282.27/282.54 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or (not @t32) @t228))) % 282.27/282.54 (step @p192 :rule trans :premises (@p191 @p185)) % 282.27/282.54 (step @p193 :rule bool-impl-elim :args (@t32 @t228)) % 282.27/282.54 (step @p194 :rule trans :premises (@p193 @p192)) % 282.27/282.54 (step @p195 :rule cong :premises (@p194) :args ((forall @t34 (=> @t32 @t228)))) % 282.27/282.54 (step @p196 :rule trans :premises (@p195 @p184)) % 282.27/282.54 (step @p197 :rule refl :args (@t24)) % 282.27/282.54 (step @p198 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 282.27/282.54 (step @p199 :rule cong :premises (@p198) :args (@t229)) % 282.27/282.54 (step @p200 :rule cong :premises (@p199) :args (@t230)) % 282.27/282.54 (step @p201 :rule exists-elim :args ((= @t30 @t230))) % 282.27/282.54 (step @p202 :rule trans :premises (@p201 @p200)) % 282.27/282.54 (step @p203 :rule cong :premises (@p202 @p197) :args (@t31)) % 282.27/282.54 (step @p204 :rule refl :args (@t32)) % 282.27/282.54 (step @p205 :rule cong :premises (@p204 @p203) :args (@t33)) % 282.27/282.54 (step @p206 :rule cong :premises (@p205) :args (@t35)) % 282.27/282.54 (step @p207 :rule trans :premises (@p206 @p196)) % 282.27/282.54 (step @p208 :rule bool-impl-elim :args (@t36 @t195)) % 282.27/282.54 (step @p209 :rule cong :premises (@p208) :args ((forall @t6 (=> @t36 @t195)))) % 282.27/282.54 (step @p210 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 282.27/282.54 (step @p211 :rule cong :premises (@p210) :args (@t231)) % 282.27/282.54 (step @p212 :rule cong :premises (@p211) :args (@t232)) % 282.27/282.54 (step @p213 :rule exists-elim :args ((= @t23 @t232))) % 282.27/282.54 (step @p214 :rule trans :premises (@p213 @p212)) % 282.27/282.54 (step @p215 :rule refl :args (@t36)) % 282.27/282.54 (step @p216 :rule cong :premises (@p215 @p214) :args (@t37)) % 282.27/282.54 (step @p217 :rule cong :premises (@p216) :args (@t38)) % 282.27/282.54 (step @p218 :rule trans :premises (@p217 @p209)) % 282.27/282.54 (step @p219 :rule bool-impl-elim :args (@t5 @t39)) % 282.27/282.54 (step @p220 :rule cong :premises (@p219) :args (@t40)) % 282.27/282.54 (step @p221 :rule nary_cong :premises (@p220 @p218 @p207) :args (@t41)) % 282.27/282.54 (step @p222 :rule cong :premises (@p153 @p221) :args (@t43)) % 282.27/282.54 (step @p223 :rule cong :premises (@p222) :args (@t45)) % 282.27/282.54 (step @p224 :rule eq_resolve :premises (@p13 @p223)) % 282.27/282.54 (step @p225 :rule eq_resolve :premises (@p224 @p171)) % 282.27/282.54 (step @p226 :rule eq_resolve :premises (@p225 @p127)) % 282.27/282.54 (step @p227 :rule ho_cong :premises (@p226 @p126 @p125)) % 282.27/282.54 (step @p228 :rule cong :premises (@p227) :args (@t233)) % 282.27/282.54 (step @p229 :rule cong :premises (@p228) :args (@t234)) % 282.27/282.54 (step @p230 :rule cong :premises (@p229) :args (@t235)) % 282.27/282.54 (step @p231 :rule cong :premises (@p121 @p230) :args (@t236)) % 282.27/282.54 (step @p232 :rule cong :premises (@p231) :args ((forall @t6 @t236))) % 282.27/282.54 (step @p233 :rule trans :premises (@p232 @p124)) % 282.27/282.54 (step @p234 :rule exists-elim :args ((= @t54 @t235))) % 282.27/282.54 (step @p235 :rule cong :premises (@p121 @p234) :args (@t56)) % 282.27/282.54 (step @p236 :rule cong :premises (@p235) :args (@t57)) % 282.27/282.54 (step @p237 :rule eq_resolve :premises (@p17 @p236)) % 282.27/282.54 (step @p238 :rule eq_resolve :premises (@p237 @p233)) % 282.27/282.54 (step @p239 :rule eq_resolve :premises (@p238 @p74)) % 282.27/282.54 (step @p240 :rule ho_cong :premises (@p239 @p73)) % 282.27/282.54 (step @p241 :rule refl :args (@t74)) % 282.27/282.54 (step @p242 :rule ho_cong :premises (@p239 @p241)) % 282.27/282.54 (step @p243 :rule cong :premises (@p242) :args (@t237)) % 282.27/282.54 (step @p244 :rule ho_cong :premises (@p164 @p73 @p241)) % 282.27/282.54 (step @p245 :rule cong :premises (@p244) :args (@t238)) % 282.27/282.54 (step @p246 :rule nary_cong :premises (@p245 @p243 @p240) :args (@t239)) % 282.27/282.54 (step @p247 :rule cong :premises (@p246) :args (@t240)) % 282.27/282.54 (step @p248 :rule cong :premises (@p247) :args ((not @t240))) % 282.27/282.54 (step @p249 :rule trans :premises (@p248 @p72)) % 282.27/282.54 (step @p250 :rule aci_norm :args ((= (or (or @t238 @t237) @t73) @t239))) % 282.27/282.54 (step @p251 :rule refl :args (@t73)) % 282.27/282.54 (step @p252 :rule bool-and-de-morgan :args (@t76 @t75 true)) % 282.27/282.54 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t77) @t73))) % 282.27/282.54 (step @p254 :rule trans :premises (@p253 @p250)) % 282.27/282.54 (step @p255 :rule bool-impl-elim :args (@t77 @t73)) % 282.27/282.54 (step @p256 :rule trans :premises (@p255 @p254)) % 282.27/282.54 (step @p257 :rule cong :premises (@p256) :args (@t79)) % 282.27/282.54 (step @p258 :rule cong :premises (@p257) :args (@t80)) % 282.27/282.54 (step @p259 :rule trans :premises (@p258 @p249)) % 282.27/282.54 (step @p260 :rule eq_resolve :premises (@p20 @p259)) % 282.27/282.54 (step @p261 :rule skolemize :premises (@p260)) % 282.27/282.54 (step @p262 :rule bool-double-not-elim :args (@t244)) % 282.27/282.54 (step @p263 :rule refl :args (@t269)) % 282.27/282.54 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t269 (not @t268)))) % 282.27/282.54 (step @p265 :rule cnf_or_neg :args (@t269 0)) % 282.27/282.54 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 282.27/282.54 (step @p267 :rule reordering :premises (@p266) :args ((or @t244 @t269))) % 282.27/282.54 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t244 @t270 @t271)) % 282.27/282.54 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t256))) % 282.27/282.54 (step @p270 :rule cnf_or_neg :args (@t269 2)) % 282.27/282.54 (step @p271 :rule chain_m_resolution :premises (@p270 @p261) :args ((not @t265) @t270 @t271)) % 282.27/282.54 (step @p272 :rule bool-double-not-elim :args (@t275)) % 282.27/282.54 (step @p273 :rule refl :args (@t279)) % 282.27/282.54 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t279 (not @t278)))) % 282.27/282.54 (step @p275 :rule cnf_or_neg :args (@t279 0)) % 282.27/282.54 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 282.27/282.54 (step @p277 :rule reordering :premises (@p276) :args ((or @t275 @t279))) % 282.27/282.54 (step @p278 :rule bool-double-not-elim :args (@t276)) % 282.27/282.54 (step @p279 :rule nary_cong :premises (@p273 @p278) :args ((or @t279 (not @t277)))) % 282.27/282.54 (step @p280 :rule cnf_or_neg :args (@t279 1)) % 282.27/282.54 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 282.27/282.54 (step @p282 :rule reordering :premises (@p281) :args ((or @t276 @t279))) % 282.27/282.54 (step @p283 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 282.27/282.54 (step @p284 :rule cong :premises (@p283) :args (@t280)) % 282.27/282.54 (step @p285 :rule cong :premises (@p284) :args (@t281)) % 282.27/282.54 (step @p286 :rule exists-elim :args ((= @t64 @t281))) % 282.27/282.54 (step @p287 :rule trans :premises (@p286 @p285)) % 282.27/282.54 (step @p288 :rule refl :args (@t65)) % 282.27/282.54 (step @p289 :rule cong :premises (@p288 @p287) :args (@t66)) % 282.27/282.54 (step @p290 :rule cong :premises (@p289) :args (@t68)) % 282.27/282.54 (step @p291 :rule refl :args (@t69)) % 282.27/282.54 (step @p292 :rule cong :premises (@p291 @p290) :args (@t70)) % 282.27/282.54 (step @p293 :rule cong :premises (@p292) :args (@t71)) % 282.27/282.54 (step @p294 :rule eq_resolve :premises (@p19 @p293)) % 282.27/282.54 (step @p295 :rule bool-eq-true :args (@t286)) % 282.27/282.54 (step @p296 :rule eq-symm :args (true @t286)) % 282.27/282.54 (step @p297 :rule trans :premises (@p296 @p295)) % 282.27/282.54 (step @p298 :rule eq-symm :args (@t282 @t285)) % 282.27/282.54 (step @p299 :rule cong :premises (@p298) :args (@t287)) % 282.27/282.54 (step @p300 :rule eq-refl :args (@t272)) % 282.27/282.54 (step @p301 :rule cong :premises (@p300 @p299) :args (@t288)) % 282.27/282.54 (step @p302 :rule trans :premises (@p301 @p297)) % 282.27/282.54 (step @p303 :rule refl :args (@t289)) % 282.27/282.54 (step @p304 :rule cong :premises (@p303 @p302) :args ((=> @t289 @t288))) % 282.27/282.54 (assume-push @p468 @t289) % 282.27/282.54 (step @p306 :rule instantiate :premises (@p294) :args ((@list @t243 @t272))) % 282.27/282.54 (step-pop @p469 :rule scope :premises (@p306)) % 282.27/282.54 (step @p307 :rule process_scope :premises (@p469) :args (@t288)) % 282.27/282.54 (step @p309 :rule eq_resolve :premises (@p307 @p304)) % 282.27/282.54 (step @p310 :rule implies_elim :premises (@p309)) % 282.27/282.54 (step @p311 :rule chain_m_resolution :premises (@p310 @p294) :args (@t286 @t290 (@list @t289))) % 282.27/282.54 (step @p312 :rule eq-symm :args (@t294 @t275)) % 282.27/282.54 (step @p313 :rule refl :args (@t286)) % 282.27/282.54 (step @p314 :rule cong :premises (@p313 @p312) :args ((=> @t286 @t295))) % 282.27/282.54 (assume-push @p470 @t286) % 282.27/282.54 (step @p316 :rule instantiate :premises (@p311) :args ((@list @t274))) % 282.27/282.54 (step-pop @p471 :rule scope :premises (@p316)) % 282.27/282.54 (step @p317 :rule process_scope :premises (@p471) :args (@t295)) % 282.27/282.54 (step @p319 :rule eq_resolve :premises (@p317 @p314)) % 282.27/282.54 (step @p320 :rule implies_elim :premises (@p319)) % 282.27/282.54 (step @p321 :rule chain_m_resolution :premises (@p320 @p311) :args (@t296 @t290 @t297)) % 282.27/282.54 (step @p322 :rule cnf_equiv_pos1 :args (@t296)) % 282.27/282.54 (step @p323 :rule reordering :premises (@p322) :args ((or @t278 @t294 (not @t296)))) % 282.27/282.54 (step @p324 :rule aci_norm :args ((= @t292 @t298))) % 282.27/282.54 (step @p325 :rule cong :premises (@p324) :args (@t293)) % 282.27/282.54 (step @p326 :rule symm :premises (@p325)) % 282.27/282.54 (step @p327 :rule true_intro :premises (@p326)) % 282.27/282.54 (step @p328 :rule eq-symm :args (@t293 @t299)) % 282.27/282.54 (step @p329 :rule trans :premises (@p328 @p327)) % 282.27/282.54 (step @p330 :rule cong :premises (@p326 @p325) :args ((= @t299 @t293))) % 282.27/282.54 (step @p331 :rule trans :premises (@p330 @p329)) % 282.27/282.54 (step @p332 :rule true_elim :premises (@p331)) % 282.27/282.54 (step @p333 :rule alpha_equiv :args (@t276 (@list @t18) (@list @t59))) % 282.27/282.54 (step @p334 :rule trans :premises (@p333 @p332)) % 282.27/282.54 (step @p335 :rule equiv_elim1 :premises (@p334)) % 282.27/282.54 (step @p336 :rule chain_m_resolution :premises (@p335 @p323 @p321 @p282 @p277) :args (@t279 (@list true false false false) (@list @t293 @t296 @t276 @t275))) % 282.27/282.54 (step @p337 :rule refl :args (@t300)) % 282.27/282.54 (step @p338 :rule bool-double-not-elim :args (@t273)) % 282.27/282.54 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or (not @t301) @t300))) % 282.27/282.54 (assume-push @p472 @t301) % 282.27/282.54 (step @p341 :rule skolemize :premises (@p472)) % 282.27/282.54 (step-pop @p473 :rule scope :premises (@p341)) % 282.27/282.54 (step @p342 :rule process_scope :premises (@p473) :args (@t300)) % 282.27/282.54 (step @p344 :rule implies_elim :premises (@p342)) % 282.27/282.54 (step @p345 :rule eq_resolve :premises (@p344 @p339)) % 282.27/282.54 (step @p346 :rule chain_m_resolution :premises (@p345 @p336) :args (@t273 @t290 (@list @t279))) % 282.27/282.54 (step @p347 :rule bool-double-not-elim :args (@t304)) % 282.27/282.54 (step @p348 :rule refl :args (@t310)) % 282.27/282.54 (step @p349 :rule nary_cong :premises (@p348 @p347) :args ((or @t310 (not @t309)))) % 282.27/282.54 (step @p350 :rule cnf_or_neg :args (@t310 0)) % 282.27/282.54 (step @p351 :rule eq_resolve :premises (@p350 @p349)) % 282.27/282.54 (step @p352 :rule reordering :premises (@p351) :args ((or @t304 @t310))) % 282.27/282.54 (step @p353 :rule bool-double-not-elim :args (@t307)) % 282.27/282.54 (step @p354 :rule nary_cong :premises (@p348 @p353) :args ((or @t310 (not @t308)))) % 282.27/282.54 (step @p355 :rule cnf_or_neg :args (@t310 1)) % 282.27/282.54 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 282.27/282.54 (step @p357 :rule reordering :premises (@p356) :args ((or @t307 @t310))) % 282.27/282.54 (step @p358 :rule cnf_or_neg :args (@t310 2)) % 282.27/282.54 (step @p359 :rule eq-symm :args (@t312 @t306)) % 282.27/282.54 (step @p360 :rule cong :premises (@p313 @p359) :args ((=> @t286 @t313))) % 282.27/282.54 (assume-push @p474 @t286) % 282.27/282.54 (step @p362 :rule instantiate :premises (@p311) :args ((@list @t305))) % 282.27/282.54 (step-pop @p475 :rule scope :premises (@p362)) % 282.27/282.54 (step @p363 :rule process_scope :premises (@p475) :args (@t313)) % 282.27/282.54 (step @p365 :rule eq_resolve :premises (@p363 @p360)) % 282.27/282.54 (step @p366 :rule implies_elim :premises (@p365)) % 282.27/282.54 (step @p367 :rule chain_m_resolution :premises (@p366 @p311) :args (@t314 @t290 @t297)) % 282.27/282.54 (step @p368 :rule bool-double-not-elim :args (@t311)) % 282.27/282.54 (step @p369 :rule refl :args (@t306)) % 282.27/282.54 (step @p370 :rule refl :args (@t315)) % 282.27/282.54 (step @p371 :rule nary_cong :premises (@p370 @p369 @p368) :args ((or @t315 @t306 (not @t312)))) % 282.27/282.54 (step @p372 :rule cnf_equiv_pos2 :args (@t314)) % 282.27/282.54 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 282.27/282.54 (step @p374 :rule reordering :premises (@p373) :args ((or @t306 @t311 @t315))) % 282.27/282.54 (step @p375 :rule cnf_or_pos :args (@t316)) % 282.27/282.54 (step @p376 :rule reordering :premises (@p375) :args ((or @t309 @t308 (not @t316)))) % 282.27/282.54 (assume-push @p476 @t311) % 282.27/282.54 (step @p378 :rule instantiate :premises (@p476) :args ((@list @t303))) % 282.27/282.54 (step-pop @p477 :rule scope :premises (@p378)) % 282.27/282.54 (step @p379 :rule process_scope :premises (@p477) :args (@t316)) % 282.27/282.54 (step @p381 :rule implies_elim :premises (@p379)) % 282.27/282.54 (step @p382 :rule chain_m_resolution :premises (@p381 @p376 @p374 @p367 @p358 @p357 @p352) :args (@t310 (@list true false false true false false) (@list @t316 @t311 @t314 @t306 @t307 @t304))) % 282.27/282.54 (step @p383 :rule refl :args (@t317)) % 282.27/282.54 (step @p384 :rule bool-double-not-elim :args (@t302)) % 282.27/282.54 (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or (not @t318) @t317))) % 282.27/282.54 (assume-push @p478 @t318) % 282.27/282.54 (step @p387 :rule skolemize :premises (@p478)) % 282.27/282.54 (step-pop @p479 :rule scope :premises (@p387)) % 282.27/282.54 (step @p388 :rule process_scope :premises (@p479) :args (@t317)) % 282.27/282.54 (step @p390 :rule implies_elim :premises (@p388)) % 282.27/282.54 (step @p391 :rule eq_resolve :premises (@p390 @p385)) % 282.27/282.54 (step @p392 :rule chain_m_resolution :premises (@p391 @p382) :args (@t302 @t290 (@list @t310))) % 282.27/282.54 (step @p393 :rule cnf_or_pos :args (@t319)) % 282.27/282.54 (step @p394 :rule reordering :premises (@p393) :args ((or @t318 @t301 @t320))) % 282.27/282.54 (step @p395 :rule chain_m_resolution :premises (@p394 @p392 @p346) :args (@t320 @t321 (@list @t302 @t273))) % 282.27/282.54 (assume-push @p480 @t250) % 282.27/282.54 (step @p397 :rule instantiate :premises (@p480) :args ((@list @t272))) % 282.27/282.54 (step-pop @p481 :rule scope :premises (@p397)) % 282.27/282.54 (step @p398 :rule process_scope :premises (@p481) :args (@t319)) % 282.27/282.54 (step @p400 :rule implies_elim :premises (@p398)) % 282.27/282.54 (step @p401 :rule chain_m_resolution :premises (@p400 @p395) :args (@t251 @t270 (@list @t319))) % 282.27/282.54 (step @p402 :rule bool-double-not-elim :args (@t250)) % 282.27/282.54 (step @p403 :rule refl :args (@t322)) % 282.27/282.54 (step @p404 :rule refl :args (@t265)) % 282.27/282.54 (step @p405 :rule nary_cong :premises (@p404 @p403 @p402) :args ((or @t265 @t322 (not @t251)))) % 282.27/282.54 (step @p406 :rule cnf_and_neg :args (@t265)) % 282.27/282.54 (step @p407 :rule eq_resolve :premises (@p406 @p405)) % 282.27/282.54 (step @p408 :rule reordering :premises (@p407) :args ((or @t250 @t265 @t322))) % 282.27/282.54 (step @p409 :rule chain_m_resolution :premises (@p408 @p401 @p271) :args (@t322 (@list true true) (@list @t250 @t265))) % 282.27/282.54 (step @p410 :rule bool-double-not-elim :args (@t262)) % 282.27/282.54 (step @p411 :rule refl :args (@t264)) % 282.27/282.54 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or @t264 (not @t263)))) % 282.27/282.54 (step @p413 :rule cnf_or_neg :args (@t264 0)) % 282.27/282.54 (step @p414 :rule eq_resolve :premises (@p413 @p412)) % 282.27/282.54 (step @p415 :rule reordering :premises (@p414) :args ((or @t262 @t264))) % 282.27/282.54 (step @p416 :rule chain_m_resolution :premises (@p415 @p409) :args (@t262 @t270 @t323)) % 282.27/282.54 (step @p417 :rule cnf_or_pos :args (@t325)) % 282.27/282.54 (step @p418 :rule reordering :premises (@p417) :args ((or @t263 @t324 (not @t325)))) % 282.27/282.54 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p269) :args (@t324 @t321 (@list @t262 @t325))) % 282.27/282.54 (step @p420 :rule instantiate :premises (@p268) :args ((@list @t252))) % 282.27/282.54 (step @p421 :rule bool-double-not-elim :args (@t260)) % 282.27/282.54 (step @p422 :rule nary_cong :premises (@p411 @p421) :args ((or @t264 (not @t261)))) % 282.27/282.54 (step @p423 :rule cnf_or_neg :args (@t264 1)) % 282.27/282.54 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 282.27/282.54 (step @p425 :rule reordering :premises (@p424) :args ((or @t260 @t264))) % 282.27/282.54 (step @p426 :rule chain_m_resolution :premises (@p425 @p409) :args (@t260 @t270 @t323)) % 282.27/282.54 (step @p427 :rule cnf_or_pos :args (@t327)) % 282.27/282.54 (step @p428 :rule reordering :premises (@p427) :args ((or @t261 @t326 (not @t327)))) % 282.27/282.54 (step @p429 :rule chain_m_resolution :premises (@p428 @p426 @p420) :args (@t326 @t321 (@list @t260 @t327))) % 282.27/282.54 (step @p430 :rule cnf_or_neg :args (@t264 2)) % 282.27/282.54 (step @p431 :rule chain_m_resolution :premises (@p430 @p409) :args ((not @t259) @t270 @t323)) % 282.27/282.54 (step @p432 :rule bool-double-not-elim :args (@t266)) % 282.27/282.54 (step @p433 :rule nary_cong :premises (@p263 @p432) :args ((or @t269 (not @t267)))) % 282.27/282.54 (step @p434 :rule cnf_or_neg :args (@t269 1)) % 282.27/282.54 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 282.27/282.54 (step @p436 :rule reordering :premises (@p435) :args ((or @t266 @t269))) % 282.27/282.54 (step @p437 :rule chain_m_resolution :premises (@p436 @p261) :args (@t266 @t270 @t271)) % 282.27/282.54 (step @p438 :rule refl :args (@t255)) % 282.27/282.54 (step @p439 :rule refl :args (@t258)) % 282.27/282.54 (step @p440 :rule eq-symm :args (@t252 @t256)) % 282.27/282.54 (step @p441 :rule refl :args (@t328)) % 282.27/282.54 (step @p442 :rule refl :args (@t329)) % 282.27/282.54 (step @p443 :rule nary_cong :premises (@p442 @p441 @p440 @p439 @p438) :args (@t330)) % 282.27/282.54 (step @p444 :rule refl :args (@t266)) % 282.27/282.54 (step @p445 :rule cong :premises (@p444 @p443) :args ((=> @t266 @t330))) % 282.27/282.54 (assume-push @p482 @t266) % 282.27/282.54 (step @p447 :rule instantiate :premises (@p437) :args ((@list @t256 @t252 @t253))) % 282.27/282.54 (step-pop @p483 :rule scope :premises (@p447)) % 282.27/282.54 (step @p448 :rule process_scope :premises (@p483) :args (@t330)) % 282.27/282.54 (step @p450 :rule eq_resolve :premises (@p448 @p445)) % 282.27/282.54 (step @p451 :rule implies_elim :premises (@p450)) % 282.27/282.54 (step @p452 :rule chain_m_resolution :premises (@p451 @p437) :args (@t331 @t290 (@list @t266))) % 282.27/282.54 (step @p453 :rule bool-double-not-elim :args (@t257)) % 282.27/282.54 (step @p454 :rule nary_cong :premises (@p411 @p453) :args ((or @t264 (not @t258)))) % 282.27/282.54 (step @p455 :rule cnf_or_neg :args (@t264 3)) % 282.27/282.54 (step @p456 :rule eq_resolve :premises (@p455 @p454)) % 282.27/282.54 (step @p457 :rule reordering :premises (@p456) :args ((or @t257 @t264))) % 282.27/282.54 (step @p458 :rule chain_m_resolution :premises (@p457 @p409) :args (@t257 @t270 @t323)) % 282.27/282.54 (step @p459 :rule bool-double-not-elim :args (@t254)) % 282.27/282.54 (step @p460 :rule nary_cong :premises (@p411 @p459) :args ((or @t264 (not @t255)))) % 282.27/282.54 (step @p461 :rule cnf_or_neg :args (@t264 4)) % 282.27/282.54 (step @p462 :rule eq_resolve :premises (@p461 @p460)) % 282.27/282.54 (step @p463 :rule reordering :premises (@p462) :args ((or @t254 @t264))) % 282.27/282.54 (step @p464 :rule chain_m_resolution :premises (@p463 @p409) :args (@t254 @t270 @t323)) % 282.27/282.54 (step @p465 :rule cnf_or_pos :args (@t331)) % 282.27/282.54 (step @p466 :rule reordering :premises (@p465) :args ((or @t259 @t258 @t255 @t329 @t328 (not @t331)))) % 282.27/282.54 (step @p467 false :rule chain_m_resolution :premises (@p466 @p464 @p458 @p452 @p431 @p429 @p419) :args (false (@list false false false true false false) (@list @t254 @t257 @t331 @t259 @t326 @t324))) % 282.27/282.54 ) % 282.27/282.54 % SZS output end Proof % 282.27/282.54 % cvc5 exiting %------------------------------------------------------------------------------